Metrics for (1-sqrt(1-x*x))/(1+sqrt(1-x*x))

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 25 to 13 computations (48% saved)

sample3.0s (40.8%)

Memory

148.5MiB live, 1 429.5MiB allocated

Samples

1.7s	5 651×	2	valid
469.0ms	2 428×	1	valid
12.0ms	177×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

adjust: 417.0ms (22.3% of total)

ival-sqrt: 383.0ms (20.5% of total)

ival-div: 323.0ms (17.3% of total)

ival-sub: 276.0ms (14.8% of total)

ival-add: 250.0ms (13.4% of total)

ival-mult: 135.0ms (7.2% of total)

ival-<=: 55.0ms (2.9% of total)

ival-and: 15.0ms (0.8% of total)

exact: 12.0ms (0.6% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain487.0ms (6.7%)

Memory

21.3MiB live, 174.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
134	-	-	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
0	-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
0	-	-	`(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`	cancellation	134	0

Confusion

	Predicted +	Predicted -
+	134	0
-	0	122

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	0	0	122

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

136.0ms	342×	2	valid
23.0ms	160×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-sqrt: 76.0ms (57.9% of total)

adjust: 18.0ms (13.7% of total)

ival-sub: 15.0ms (11.4% of total)

ival-div: 9.0ms (6.9% of total)

ival-add: 7.0ms (5.3% of total)

ival-mult: 6.0ms (4.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess427.0ms (5.9%)

Memory

-19.2MiB live, 56.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	38	35
2	77	34
3	176	34
4	296	34
5	537	34
6	808	34
7	1079	34
8	1477	34
9	2025	34
10	4345	34
11	5777	34
12	6809	34
13	7215	34
14	7583	34
15	7739	34
0	8	17
0	14	17
1	27	17
2	39	17
3	57	17
4	93	17
5	144	17
6	218	17
7	467	17
8	861	17
9	1604	17
10	2566	17
11	3435	17
12	4112	17
13	4413	17
14	4709	17
15	4865	17
16	4942	17
17	5237	17
18	6076	17
19	6297	17
20	7978	17
0	8004	17

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))

(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))

Symmetry

(abs x)

Compiler

Compiled 17 to 8 computations (52.9% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))

Compiler

Compiled 17 to 8 computations (52.9% saved)

simplify364.0ms (5%)

Memory

-25.4MiB live, 52.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	49
0	14	49
1	27	49
2	39	49
3	57	49
4	93	49
5	144	49
6	218	49
7	467	49
8	861	49
9	1604	49
10	2566	49
11	3435	49
12	4112	49
13	4413	49
14	4709	49
15	4865	49
16	4942	49
17	5237	49
18	6076	49
19	6297	49
20	7978	49
0	8004	49

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))

localize56.0ms (0.8%)

Memory

17.2MiB live, 17.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy	0.00390625	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.03125	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
accuracy	30.276676547946387	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

35.0ms	171×	2	valid
11.0ms	80×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 51 to 10 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

adjust: 8.0ms (24.5% of total)

ival-sub: 7.0ms (21.4% of total)

ival-sqrt: 6.0ms (18.4% of total)

ival-div: 4.0ms (12.2% of total)

ival-add: 3.0ms (9.2% of total)

ival-mult: 3.0ms (9.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

5 → 45

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Outputs
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+ 1 (* -1 (pow x 2)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
-1
(- (* 2 (/ 1 (* x (sqrt -1)))) 1)
(- (/ 2 (* x (sqrt -1))) (+ 1 (/ 2 (* (pow x 2) (pow (sqrt -1) 2)))))
(- (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (/ 2 (* x (sqrt -1)))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))))
(* -1 (* x (sqrt -1)))
(* x (- (/ 1 x) (sqrt -1)))
(* x (- (/ 1 x) (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (/ 1 x) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (+ 1 (* 2 (/ 1 (* x (sqrt -1))))))
(- (* -1 (/ (+ (* 2 (/ 1 (sqrt -1))) (* 2 (/ 1 (* x (pow (sqrt -1) 2))))) x)) 1)
(- (* -1 (/ (+ (* 2 (/ 1 (sqrt -1))) (+ (/ 1 (* (pow x 2) (pow (sqrt -1) 3))) (/ 2 (* x (pow (sqrt -1) 2))))) x)) 1)
(* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)) (sqrt -1))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x))) (- 1 (* x x)) (+ 1 (sqrt (- 1 (* x x)))))
1.0ms	x	@	-inf	((/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x))) (- 1 (* x x)) (+ 1 (sqrt (- 1 (* x x)))))
1.0ms	x	@	0	((/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x))) (- 1 (* x x)) (+ 1 (sqrt (- 1 (* x x)))))

Time

Variable

Point

Expression

2.0ms

inf

((/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x))) (- 1 (* x x)) (+ 1 (sqrt (- 1 (* x x)))))

1.0ms

-inf

((/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x))) (- 1 (* x x)) (+ 1 (sqrt (- 1 (* x x)))))

1.0ms

((/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x))) (- 1 (* x x)) (+ 1 (sqrt (- 1 (* x x)))))

simplify149.0ms (2.1%)

Memory

39.9MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	684
1	570	634
2	1689	598
3	4899	592
0	8343	558

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+ 1 (* -1 (pow x 2)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
-1
(- (* 2 (/ 1 (* x (sqrt -1)))) 1)
(- (/ 2 (* x (sqrt -1))) (+ 1 (/ 2 (* (pow x 2) (pow (sqrt -1) 2)))))
(- (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (/ 2 (* x (sqrt -1)))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))))
(* -1 (* x (sqrt -1)))
(* x (- (/ 1 x) (sqrt -1)))
(* x (- (/ 1 x) (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (/ 1 x) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (+ 1 (* 2 (/ 1 (* x (sqrt -1))))))
(- (* -1 (/ (+ (* 2 (/ 1 (sqrt -1))) (* 2 (/ 1 (* x (pow (sqrt -1) 2))))) x)) 1)
(- (* -1 (/ (+ (* 2 (/ 1 (sqrt -1))) (+ (/ 1 (* (pow x 2) (pow (sqrt -1) 3))) (/ 2 (* x (pow (sqrt -1) 2))))) x)) 1)
(* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)) (sqrt -1))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))

Outputs
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 1/8 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/128 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 (* x (sqrt -1)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(- (/ 2 (* x (sqrt -1))) (+ 1 (/ 2 (* (pow x 2) (pow (sqrt -1) 2)))))
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x x)))
(- (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (/ 2 (* x (sqrt -1)))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))))
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
(* -1 (* x (sqrt -1)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* x (- (/ 1 x) (sqrt -1)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(* x (- (/ 1 x) (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* x (- (+ (/ 1 x) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) x (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(* x (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* x (+ (sqrt -1) (/ 1 x)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal -1 binary64))))
(* -1 (+ 1 (* 2 (/ 1 (* x (sqrt -1))))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(- (* -1 (/ (+ (* 2 (/ 1 (sqrt -1))) (* 2 (/ 1 (* x (pow (sqrt -1) 2))))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (+ (* 2 (/ 1 (sqrt -1))) (+ (/ 1 (* (pow x 2) (pow (sqrt -1) 3))) (/ 2 (* x (pow (sqrt -1) 2))))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) x)) x))
(* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1))))
(.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x)) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)) (sqrt -1))))
(.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) x) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) x)
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) x) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64))))

rewrite280.0ms (3.9%)

Memory

-78.8MiB live, 63.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	44
0	14	44
1	64	44
2	483	43
3	7001	43
0	8508	43

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 677

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Outputs
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (neg.f64 x) x (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 (neg.f64 x) x (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (fma.f64 (neg.f64 x) x #s(literal 0 binary64))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (pow.f64 (+.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (pow.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))))
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(fma.f64 (+.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(fma.f64 (fma.f64 (neg.f64 x) x (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))))
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(fma.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (.f64 (fma.f64 (neg.f64 x) x (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))))
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(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
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(+.f64 (.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (fma.f64 (neg.f64 x) x (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))) (.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (fma.f64 (neg.f64 x) x (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

eval99.0ms (1.4%)

Memory: -8.6MiB live, 73.0MiB allocated
Compiler: Compiled 30 744 to 2 384 computations (92.2% saved)

prune20.0ms (0.3%)

Memory

34.1MiB live, 34.1MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	857	9	866
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	857	10	867

Accuracy

100.0%

Counts

867 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
	52.8%	(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
	100.0%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
▶	100.0%	(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
▶	99.7%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
	99.6%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
▶	99.4%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
	98.9%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
▶	2.7%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))

Compiler

Compiled 599 to 274 computations (54.3% saved)

simplify131.0ms (1.8%)

Memory

-44.7MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
cost-diff	1	(-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
cost-diff	2	(+.f64 #s(literal 0 binary64) (*.f64 x x))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
cost-diff	0	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
cost-diff	0	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
cost-diff	0	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
cost-diff	2	(+.f64 #s(literal 0 binary64) (*.f64 x x))
cost-diff	2	(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	538
0	79	523
1	148	523
2	321	522
3	974	522
4	3352	522
5	6522	522
0	8177	521

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
#s(literal 0 binary64)
(*.f64 x x)
x
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal -1 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 5/64 binary64))
#s(literal 7/128 binary64)
(*.f64 x x)
x
#s(literal 5/64 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
#s(literal 0 binary64)
(*.f64 x x)
x
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))

Outputs
(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) x)
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal 0 binary64)
(*.f64 x x)
x
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal -1 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 5/64 binary64))
#s(literal 7/128 binary64)
(*.f64 x x)
x
#s(literal 5/64 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64))) (.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) x))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) x)
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal 0 binary64)
(*.f64 x x)
x
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 #s(literal 2 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))

localize348.0ms (4.8%)

Memory

33.8MiB live, 107.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))
accuracy	0.015625	(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
accuracy	0.01953125	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
accuracy	0.0234375	(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
accuracy	0.015625	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
accuracy	0.16473086876144952	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
accuracy	0.01171875	(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
accuracy	0.37448932105393107	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
accuracy	62.28696094694509	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
accuracy	0.02734375	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
accuracy	0.14910126953688402	(.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
accuracy	30.276676547946387	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy	30.306546773393947	(-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))

Samples

309.0ms	250×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 526 to 46 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-pow: 154.0ms (59% of total)

adjust: 28.0ms (10.7% of total)

ival-mult: 26.0ms (10% of total)

ival-add: 20.0ms (7.7% of total)

ival-div: 14.0ms (5.4% of total)

ival-sub: 13.0ms (5% of total)

ival-sqrt: 5.0ms (1.9% of total)

exact: 1.0ms (0.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

21 → 136

Calls

Call 1

Inputs
(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 x x)
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))

Outputs
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2))))))))
(pow x 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 3/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* 3/16 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* (pow x 2) (+ 3/16 (* 7/128 (pow x 2))))))))
(* 1/4 x)
(* x (+ 1/4 (* 1/8 (pow x 2))))
1/4
(+ 1/4 (* 1/8 (pow x 2)))
(* x (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2))))))))
(+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))) 1/2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2)))))) 1/2))
(* (pow x 2) (+ 1/2 (* 1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* -3/32 (pow x 2)) 1/8))
(* (pow x 4) (- (* (pow x 2) (- (* -5/128 (pow x 2)) 3/32)) 1/8))
(* (pow x 4) (- (* (pow x 2) (- (* (pow x 2) (- (* 19/1024 (pow x 4)) 5/128)) 3/32)) 1/8))
(* (pow x 2) (+ 1/4 (* 1/4 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/4 (* 11/64 (pow x 2))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 11/64 (* 3/32 (pow x 2))))))))
1/2
(+ 1/2 (* -1/8 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* 7/128 (pow x 2)))) 1/8)))
(+ 1 (* -3/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* 1/16 (pow x 2)))) 3/2)))
(- (+ 1 (/ (sqrt -1) x)) (/ 1 (* x (sqrt -1))))
(- (+ 1 (/ (sqrt -1) x)) (+ (/ 1 (* x (sqrt -1))) (/ 2 (pow x 2))))
(- (+ 1 (+ (/ 1 (* (pow x 3) (sqrt -1))) (/ (sqrt -1) x))) (+ (* 3/2 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 2)))) (+ (/ 1 (* x (sqrt -1))) (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (/ 2 (pow x 2))))))
(/ 1 (* x (sqrt -1)))
(/ (- (/ 1 (sqrt -1)) (* 3/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)
(/ (+ (* -1 (/ (+ (* 3/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (* x (pow (sqrt -1) 2)))) (pow x 2))) (/ 1 (sqrt -1))) x)
(/ (- (+ (/ 1 (sqrt -1)) (/ 9/4 (* (pow x 4) (pow (sqrt -1) 5)))) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (pow (sqrt -1) 3)))) (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 2))) (/ 3/2 (* (pow x 2) (pow (sqrt -1) 3)))))) x)
-1
(- (* 2 (/ 1 (* x (sqrt -1)))) 1)
(- (/ 2 (* x (sqrt -1))) (+ 1 (/ 2 (* (pow x 2) (pow (sqrt -1) 2)))))
(- (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (/ 2 (* x (sqrt -1)))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))))
(* 1/8 (pow x 4))
(* (pow x 4) (+ 1/8 (* 1/4 (/ 1 (pow x 2)))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 (pow x 2)))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 (pow x 2)))))
(* 7/128 (pow x 8))
(* (pow x 8) (+ 7/128 (* 5/64 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 7/128 (+ (/ 1/8 (pow x 4)) (* 5/64 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 7/128 (+ (/ 1/8 (pow x 4)) (+ (* 5/64 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 7/128 (pow x 7))
(* (pow x 7) (+ 7/128 (* 5/64 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 7/128 (+ (/ 1/8 (pow x 4)) (* 5/64 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 7/128 (+ (/ 1/8 (pow x 4)) (+ (* 5/64 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 7/128 (pow x 6))
(* (pow x 6) (+ 7/128 (* 5/64 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 7/128 (+ (/ 1/8 (pow x 4)) (* 5/64 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 7/128 (+ (/ 1/8 (pow x 4)) (+ (* 5/64 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 (/ (sqrt -1) x)) 1))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ (sqrt -1) x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt -1)))) (/ (sqrt -1) x)))))
(/ -1 (pow (sqrt -1) 2))
(- (/ 1 (* x (pow (sqrt -1) 3))) (+ (/ 1 (* x (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))
(- (+ (/ 1 (* x (pow (sqrt -1) 3))) (+ (* 3 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) (+ (/ 1 (* x (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (/ (+ (sqrt -1) (* 3/2 (/ 1 (sqrt -1)))) (pow (sqrt -1) 4))) (+ (* 2 (/ (- (/ 1 (pow (sqrt -1) 3)) (/ 1 (sqrt -1))) (pow (sqrt -1) 2))) (+ (* 7/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 5))))) (pow x 3))) (+ (/ 1 (* x (pow (sqrt -1) 3))) (+ (* 3 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))) (+ (/ 1 (* x (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (/ (sqrt -1) x))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt -1)))) (/ (sqrt -1) x)))))
(* -1 (* x (sqrt -1)))
(* x (- (/ 1 x) (sqrt -1)))
(* x (- (/ 1 x) (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (/ 1 x) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(- (+ 1 (/ (sqrt -1) x)) (+ (/ 1 (* x (sqrt -1))) (+ (/ 1 (* (pow x 2) (pow (sqrt -1) 2))) (/ 2 (pow x 2)))))
(- (+ 1 (+ (/ 1 (* (pow x 3) (sqrt -1))) (/ (sqrt -1) x))) (+ (* 3/2 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 2)))) (+ (/ 1 (* x (sqrt -1))) (+ (/ 1 (* (pow x 2) (pow (sqrt -1) 2))) (/ 2 (pow x 2))))))
(/ -1 (pow x 2))
(/ (- (/ 1 (* x (sqrt -1))) 1) (pow x 2))
(/ (- (+ (/ 1 (* x (sqrt -1))) (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) 1) (pow x 2))
(/ (- (+ (/ 1 (* x (sqrt -1))) (+ (/ 1 (* (pow x 2) (pow (sqrt -1) 2))) (/ 1 (* (pow x 3) (sqrt -1))))) (+ 1 (/ 3/2 (* (pow x 3) (pow (sqrt -1) 3))))) (pow x 2))
(* -1 (/ x (sqrt -1)))
(* x (- (/ 1 (* x (pow (sqrt -1) 2))) (+ (/ 1 x) (/ 1 (sqrt -1)))))
(* x (- (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow x 2) (sqrt -1))))) (+ (/ 1 x) (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))))
(* x (- (+ (/ 1/2 (* (pow x 3) (pow (sqrt -1) 4))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow x 2) (sqrt -1)))))) (+ (* 1/2 (/ (- (/ 1 (pow (sqrt -1) 2)) 1) (* (pow x 3) (pow (sqrt -1) 2)))) (+ (/ 1 x) (+ (/ 1 (sqrt -1)) (+ (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 7/2 (* (pow x 3) (pow (sqrt -1) 2)))))))))
(* (pow x 3) (sqrt -1))
(* (pow x 3) (+ (sqrt -1) (* 3/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 3) (+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 3/2 (* (pow x 2) (sqrt -1))))))
(* (pow x 3) (+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 3/2 (* (pow x 2) (sqrt -1)))))))
(+ 1 (* -1 (/ (- (sqrt -1) (/ 1 (sqrt -1))) x)))
(+ 1 (* -1 (/ (- (+ (sqrt -1) (* 2 (/ 1 x))) (/ 1 (sqrt -1))) x)))
(+ 1 (* -1 (/ (- (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (/ 1 (sqrt -1)) (+ (* 3/2 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 3)))) x)) 2) x))) (/ 1 (sqrt -1))) x)))
(/ -1 (* x (sqrt -1)))
(* -1 (/ (- (/ 1 (sqrt -1)) (* 3/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))
(* -1 (/ (- (+ (/ 1 (sqrt -1)) (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 3/2 (* (pow x 2) (pow (sqrt -1) 3)))) x))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 9/4 (/ 1 (pow (sqrt -1) 5))) (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) (pow x 3))) (/ 1 (sqrt -1))) (/ 3/2 (* (pow x 2) (pow (sqrt -1) 3)))) x))
(* -1 (+ 1 (* 2 (/ 1 (* x (sqrt -1))))))
(- (* -1 (/ (+ (* 2 (/ 1 (sqrt -1))) (* 2 (/ 1 (* x (pow (sqrt -1) 2))))) x)) 1)
(- (* -1 (/ (+ (* 2 (/ 1 (sqrt -1))) (+ (/ 1 (* (pow x 2) (pow (sqrt -1) 3))) (/ 2 (* x (pow (sqrt -1) 2))))) x)) 1)
(* -1 (* (pow x 7) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 7/128)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 7/128 (* 5/64 (/ 1 (pow x 2)))))))
(* (pow x 2) (- (/ (sqrt -1) x) 1))
(* (pow x 2) (- (+ (/ 2 (pow x 2)) (/ (sqrt -1) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ 2 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)) x)) 1))
(- (* -1 (/ (- (/ 1 (pow (sqrt -1) 3)) (/ 1 (sqrt -1))) x)) (/ 1 (pow (sqrt -1) 2)))
(- (* -1 (/ (- (+ (* -1 (/ (+ (* 3 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))) x)) (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) x)) (/ 1 (pow (sqrt -1) 2)))
(- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (sqrt -1) (* 3/2 (/ 1 (sqrt -1)))) (* x (pow (sqrt -1) 4)))) (+ (* 2 (/ (- (/ 1 (pow (sqrt -1) 3)) (/ 1 (sqrt -1))) (* x (pow (sqrt -1) 2)))) (+ (* 3 (/ 1 (pow (sqrt -1) 2))) (+ (/ 1 (* x (pow (sqrt -1) 5))) (+ (/ 1 (pow (sqrt -1) 4)) (/ 7/2 (* x (pow (sqrt -1) 3)))))))) x)) (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) x)) (/ 1 (pow (sqrt -1) 2)))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ (sqrt -1) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)) x)) 1))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)) (sqrt -1))))
(+ 1 (* -1 (/ (- (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ 2 (* 3/2 (/ 1 (pow (sqrt -1) 2))))) x))) (/ 1 (sqrt -1))) x)))
(+ 1 (* -1 (/ (- (+ (sqrt -1) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (sqrt -1)) (* 3/2 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (sqrt -1) 2)))) x)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (+ 2 (* 3/2 (/ 1 (pow (sqrt -1) 2))))) x))) (/ 1 (sqrt -1))) x)))
(* -1 (/ (+ 1 (/ 1 (* x (sqrt -1)))) (pow x 2)))
(/ (- (* -1 (/ (- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))) x)) 1) (pow x 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (sqrt -1)) (* 3/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) x)) 1) (pow x 2))
(/ x (sqrt -1))
(* -1 (* x (- (* -1 (/ (- (/ 1 (pow (sqrt -1) 2)) 1) x)) (/ 1 (sqrt -1)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) 1) x)) (/ 1 (sqrt -1)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (+ (* 1/2 (/ (- (/ 1 (pow (sqrt -1) 2)) 1) (pow (sqrt -1) 2))) (* 7/2 (/ 1 (pow (sqrt -1) 2))))) x)) (* 3 (/ 1 (sqrt -1)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) 1) x)) (/ 1 (sqrt -1)))))
(* -1 (* (pow x 3) (sqrt -1)))
(* -1 (* (pow x 3) (+ (sqrt -1) (* 3/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 3) (+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 3/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 3) (+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 3/2 (* (pow x 2) (sqrt -1))))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((+ (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (pow (+ (sqrt (- 1 (* x x))) 1) -1)) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)))) (+ 0 (* x x)) (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (* x x) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* 1/8 (* x x)) 1/4) x) x) (* (+ (* 1/8 (* x x)) 1/4) x) (+ (* 1/8 (* x x)) 1/4) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) x) (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1)) (pow (- 1 (* x x)) 3/2))
4.0ms	x	@	0	((+ (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (pow (+ (sqrt (- 1 (* x x))) 1) -1)) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)))) (+ 0 (* x x)) (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (* x x) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* 1/8 (* x x)) 1/4) x) x) (* (+ (* 1/8 (* x x)) 1/4) x) (+ (* 1/8 (* x x)) 1/4) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) x) (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1)) (pow (- 1 (* x x)) 3/2))
4.0ms	x	@	-inf	((+ (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (pow (+ (sqrt (- 1 (* x x))) 1) -1)) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)))) (+ 0 (* x x)) (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (* x x) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* 1/8 (* x x)) 1/4) x) x) (* (+ (* 1/8 (* x x)) 1/4) x) (+ (* 1/8 (* x x)) 1/4) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) x) (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1)) (pow (- 1 (* x x)) 3/2))

Time

Variable

Point

Expression

7.0ms

inf

((+ (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (pow (+ (sqrt (- 1 (* x x))) 1) -1)) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)))) (+ 0 (* x x)) (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (* x x) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* 1/8 (* x x)) 1/4) x) x) (* (+ (* 1/8 (* x x)) 1/4) x) (+ (* 1/8 (* x x)) 1/4) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) x) (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1)) (pow (- 1 (* x x)) 3/2))

4.0ms

((+ (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (pow (+ (sqrt (- 1 (* x x))) 1) -1)) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)))) (+ 0 (* x x)) (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (* x x) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* 1/8 (* x x)) 1/4) x) x) (* (+ (* 1/8 (* x x)) 1/4) x) (+ (* 1/8 (* x x)) 1/4) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) x) (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1)) (pow (- 1 (* x x)) 3/2))

4.0ms

-inf

((+ (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (pow (+ (sqrt (- 1 (* x x))) 1) -1)) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)))) (+ 0 (* x x)) (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (* x x) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* 1/8 (* x x)) 1/4) x) x) (* (+ (* 1/8 (* x x)) 1/4) x) (+ (* 1/8 (* x x)) 1/4) (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) x) (* (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 7/128 (* x x)) 5/64) (* x x)) 1/8) (* x x)) 1/4) (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (* (- 1 (+ (* x x) (sqrt (- 1 (* x x))))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1))) (/ (- 1 (sqrt (- 1 (* x x)))) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1)) (pow (- 1 (* x x)) 3/2))

simplify322.0ms (4.4%)

Memory

-116.2MiB live, 47.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	2732
1	1842	2286
2	6086	2173
0	8278	2097

Stop Event

1×	iter limit
1×	node limit

Counts

136 → 136

Calls

Call 1

Inputs
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2))))))))
(pow x 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 3/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* 3/16 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* (pow x 2) (+ 3/16 (* 7/128 (pow x 2))))))))
(* 1/4 x)
(* x (+ 1/4 (* 1/8 (pow x 2))))
1/4
(+ 1/4 (* 1/8 (pow x 2)))
(* x (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2))))))))
(+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))) 1/2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2)))))) 1/2))
(* (pow x 2) (+ 1/2 (* 1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* -3/32 (pow x 2)) 1/8))
(* (pow x 4) (- (* (pow x 2) (- (* -5/128 (pow x 2)) 3/32)) 1/8))
(* (pow x 4) (- (* (pow x 2) (- (* (pow x 2) (- (* 19/1024 (pow x 4)) 5/128)) 3/32)) 1/8))
(* (pow x 2) (+ 1/4 (* 1/4 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/4 (* 11/64 (pow x 2))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 11/64 (* 3/32 (pow x 2))))))))
1/2
(+ 1/2 (* -1/8 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* 7/128 (pow x 2)))) 1/8)))
(+ 1 (* -3/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* 1/16 (pow x 2)))) 3/2)))
(- (+ 1 (/ (sqrt -1) x)) (/ 1 (* x (sqrt -1))))
(- (+ 1 (/ (sqrt -1) x)) (+ (/ 1 (* x (sqrt -1))) (/ 2 (pow x 2))))
(- (+ 1 (+ (/ 1 (* (pow x 3) (sqrt -1))) (/ (sqrt -1) x))) (+ (* 3/2 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 2)))) (+ (/ 1 (* x (sqrt -1))) (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (/ 2 (pow x 2))))))
(/ 1 (* x (sqrt -1)))
(/ (- (/ 1 (sqrt -1)) (* 3/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)
(/ (+ (* -1 (/ (+ (* 3/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (* x (pow (sqrt -1) 2)))) (pow x 2))) (/ 1 (sqrt -1))) x)
(/ (- (+ (/ 1 (sqrt -1)) (/ 9/4 (* (pow x 4) (pow (sqrt -1) 5)))) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (pow (sqrt -1) 3)))) (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 2))) (/ 3/2 (* (pow x 2) (pow (sqrt -1) 3)))))) x)
-1
(- (* 2 (/ 1 (* x (sqrt -1)))) 1)
(- (/ 2 (* x (sqrt -1))) (+ 1 (/ 2 (* (pow x 2) (pow (sqrt -1) 2)))))
(- (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (/ 2 (* x (sqrt -1)))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))))
(* 1/8 (pow x 4))
(* (pow x 4) (+ 1/8 (* 1/4 (/ 1 (pow x 2)))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 (pow x 2)))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 (pow x 2)))))
(* 7/128 (pow x 8))
(* (pow x 8) (+ 7/128 (* 5/64 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 7/128 (+ (/ 1/8 (pow x 4)) (* 5/64 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 7/128 (+ (/ 1/8 (pow x 4)) (+ (* 5/64 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 7/128 (pow x 7))
(* (pow x 7) (+ 7/128 (* 5/64 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 7/128 (+ (/ 1/8 (pow x 4)) (* 5/64 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 7/128 (+ (/ 1/8 (pow x 4)) (+ (* 5/64 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 7/128 (pow x 6))
(* (pow x 6) (+ 7/128 (* 5/64 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 7/128 (+ (/ 1/8 (pow x 4)) (* 5/64 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 7/128 (+ (/ 1/8 (pow x 4)) (+ (* 5/64 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 (/ (sqrt -1) x)) 1))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ (sqrt -1) x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt -1)))) (/ (sqrt -1) x)))))
(/ -1 (pow (sqrt -1) 2))
(- (/ 1 (* x (pow (sqrt -1) 3))) (+ (/ 1 (* x (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))
(- (+ (/ 1 (* x (pow (sqrt -1) 3))) (+ (* 3 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) (+ (/ 1 (* x (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (/ (+ (sqrt -1) (* 3/2 (/ 1 (sqrt -1)))) (pow (sqrt -1) 4))) (+ (* 2 (/ (- (/ 1 (pow (sqrt -1) 3)) (/ 1 (sqrt -1))) (pow (sqrt -1) 2))) (+ (* 7/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 5))))) (pow x 3))) (+ (/ 1 (* x (pow (sqrt -1) 3))) (+ (* 3 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))) (+ (/ 1 (* x (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (/ (sqrt -1) x))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt -1)))) (/ (sqrt -1) x)))))
(* -1 (* x (sqrt -1)))
(* x (- (/ 1 x) (sqrt -1)))
(* x (- (/ 1 x) (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (/ 1 x) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(- (+ 1 (/ (sqrt -1) x)) (+ (/ 1 (* x (sqrt -1))) (+ (/ 1 (* (pow x 2) (pow (sqrt -1) 2))) (/ 2 (pow x 2)))))
(- (+ 1 (+ (/ 1 (* (pow x 3) (sqrt -1))) (/ (sqrt -1) x))) (+ (* 3/2 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 2)))) (+ (/ 1 (* x (sqrt -1))) (+ (/ 1 (* (pow x 2) (pow (sqrt -1) 2))) (/ 2 (pow x 2))))))
(/ -1 (pow x 2))
(/ (- (/ 1 (* x (sqrt -1))) 1) (pow x 2))
(/ (- (+ (/ 1 (* x (sqrt -1))) (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) 1) (pow x 2))
(/ (- (+ (/ 1 (* x (sqrt -1))) (+ (/ 1 (* (pow x 2) (pow (sqrt -1) 2))) (/ 1 (* (pow x 3) (sqrt -1))))) (+ 1 (/ 3/2 (* (pow x 3) (pow (sqrt -1) 3))))) (pow x 2))
(* -1 (/ x (sqrt -1)))
(* x (- (/ 1 (* x (pow (sqrt -1) 2))) (+ (/ 1 x) (/ 1 (sqrt -1)))))
(* x (- (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow x 2) (sqrt -1))))) (+ (/ 1 x) (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))))
(* x (- (+ (/ 1/2 (* (pow x 3) (pow (sqrt -1) 4))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow x 2) (sqrt -1)))))) (+ (* 1/2 (/ (- (/ 1 (pow (sqrt -1) 2)) 1) (* (pow x 3) (pow (sqrt -1) 2)))) (+ (/ 1 x) (+ (/ 1 (sqrt -1)) (+ (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 7/2 (* (pow x 3) (pow (sqrt -1) 2)))))))))
(* (pow x 3) (sqrt -1))
(* (pow x 3) (+ (sqrt -1) (* 3/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 3) (+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 3/2 (* (pow x 2) (sqrt -1))))))
(* (pow x 3) (+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 3/2 (* (pow x 2) (sqrt -1)))))))
(+ 1 (* -1 (/ (- (sqrt -1) (/ 1 (sqrt -1))) x)))
(+ 1 (* -1 (/ (- (+ (sqrt -1) (* 2 (/ 1 x))) (/ 1 (sqrt -1))) x)))
(+ 1 (* -1 (/ (- (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (/ 1 (sqrt -1)) (+ (* 3/2 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 3)))) x)) 2) x))) (/ 1 (sqrt -1))) x)))
(/ -1 (* x (sqrt -1)))
(* -1 (/ (- (/ 1 (sqrt -1)) (* 3/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))
(* -1 (/ (- (+ (/ 1 (sqrt -1)) (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (/ 3/2 (* (pow x 2) (pow (sqrt -1) 3)))) x))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 9/4 (/ 1 (pow (sqrt -1) 5))) (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) (pow x 3))) (/ 1 (sqrt -1))) (/ 3/2 (* (pow x 2) (pow (sqrt -1) 3)))) x))
(* -1 (+ 1 (* 2 (/ 1 (* x (sqrt -1))))))
(- (* -1 (/ (+ (* 2 (/ 1 (sqrt -1))) (* 2 (/ 1 (* x (pow (sqrt -1) 2))))) x)) 1)
(- (* -1 (/ (+ (* 2 (/ 1 (sqrt -1))) (+ (/ 1 (* (pow x 2) (pow (sqrt -1) 3))) (/ 2 (* x (pow (sqrt -1) 2))))) x)) 1)
(* -1 (* (pow x 7) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 7/128)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 7/128 (* 5/64 (/ 1 (pow x 2)))))))
(* (pow x 2) (- (/ (sqrt -1) x) 1))
(* (pow x 2) (- (+ (/ 2 (pow x 2)) (/ (sqrt -1) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ 2 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)) x)) 1))
(- (* -1 (/ (- (/ 1 (pow (sqrt -1) 3)) (/ 1 (sqrt -1))) x)) (/ 1 (pow (sqrt -1) 2)))
(- (* -1 (/ (- (+ (* -1 (/ (+ (* 3 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))) x)) (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) x)) (/ 1 (pow (sqrt -1) 2)))
(- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (sqrt -1) (* 3/2 (/ 1 (sqrt -1)))) (* x (pow (sqrt -1) 4)))) (+ (* 2 (/ (- (/ 1 (pow (sqrt -1) 3)) (/ 1 (sqrt -1))) (* x (pow (sqrt -1) 2)))) (+ (* 3 (/ 1 (pow (sqrt -1) 2))) (+ (/ 1 (* x (pow (sqrt -1) 5))) (+ (/ 1 (pow (sqrt -1) 4)) (/ 7/2 (* x (pow (sqrt -1) 3)))))))) x)) (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) x)) (/ 1 (pow (sqrt -1) 2)))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ (sqrt -1) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)) x)) 1))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x))) x)) (sqrt -1))))
(+ 1 (* -1 (/ (- (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ 2 (* 3/2 (/ 1 (pow (sqrt -1) 2))))) x))) (/ 1 (sqrt -1))) x)))
(+ 1 (* -1 (/ (- (+ (sqrt -1) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (sqrt -1)) (* 3/2 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (pow (sqrt -1) 2)))) x)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) (+ 2 (* 3/2 (/ 1 (pow (sqrt -1) 2))))) x))) (/ 1 (sqrt -1))) x)))
(* -1 (/ (+ 1 (/ 1 (* x (sqrt -1)))) (pow x 2)))
(/ (- (* -1 (/ (- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))) x)) 1) (pow x 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (sqrt -1)) (* 3/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1))) x)) 1) (pow x 2))
(/ x (sqrt -1))
(* -1 (* x (- (* -1 (/ (- (/ 1 (pow (sqrt -1) 2)) 1) x)) (/ 1 (sqrt -1)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) 1) x)) (/ 1 (sqrt -1)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (+ (* 1/2 (/ (- (/ 1 (pow (sqrt -1) 2)) 1) (pow (sqrt -1) 2))) (* 7/2 (/ 1 (pow (sqrt -1) 2))))) x)) (* 3 (/ 1 (sqrt -1)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) 1) x)) (/ 1 (sqrt -1)))))
(* -1 (* (pow x 3) (sqrt -1)))
(* -1 (* (pow x 3) (+ (sqrt -1) (* 3/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 3) (+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 3/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 3) (+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 3/2 (* (pow x 2) (sqrt -1))))))))

Outputs
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 3/8 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* 3/16 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* (pow x 2) (+ 3/16 (* 7/128 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/8 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/8 (pow x 2)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(* x (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 7/128 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2)))))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/128 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* 1/8 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/128 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* -1/8 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))
(* (pow x 4) (- (* -3/32 (pow x 2)) 1/8))
(.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (pow x 2) (- (* -5/128 (pow x 2)) 3/32)) 1/8))
(.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) (.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (pow x 2) (- (* (pow x 2) (- (* 19/1024 (pow x 4)) 5/128)) 3/32)) 1/8))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 19/1024 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -5/128 binary64)) (.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1/4 (* 1/4 (pow x 2))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/4 (* 11/64 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 11/64 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 11/64 (* 3/32 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) (.f64 x x) #s(literal 11/64 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* 7/128 (pow x 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1 (* -3/2 (pow x 2)))
(fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal -3/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* 1/16 (pow x 2)))) 3/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal -3/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- (+ 1 (/ (sqrt -1) x)) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal 1 binary64))
(- (+ 1 (/ (sqrt -1) x)) (+ (/ 1 (* x (sqrt -1))) (/ 2 (pow x 2))))
(-.f64 (+.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(- (+ 1 (+ (/ 1 (* (pow x 3) (sqrt -1))) (/ (sqrt -1) x))) (+ (* 3/2 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 2)))) (+ (/ 1 (* x (sqrt -1))) (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (/ 2 (pow x 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(/ 1 (* x (sqrt -1)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(/ (- (/ 1 (sqrt -1)) (* 3/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(/ (+ (* -1 (/ (+ (* 3/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (* x (pow (sqrt -1) 2)))) (pow x 2))) (/ 1 (sqrt -1))) x)
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))) x)
(/ (- (+ (/ 1 (sqrt -1)) (/ 9/4 (* (pow x 4) (pow (sqrt -1) 5)))) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (pow (sqrt -1) 3)))) (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 2))) (/ 3/2 (* (pow x 2) (pow (sqrt -1) 3)))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 9/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)))) x)
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 (* x (sqrt -1)))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(- (/ 2 (* x (sqrt -1))) (+ 1 (/ 2 (* (pow x 2) (pow (sqrt -1) 2)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64))
(- (+ (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (/ 2 (* x (sqrt -1)))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (sqrt -1) 2))))))
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* 1/8 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(* (pow x 4) (+ 1/8 (* 1/4 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/8 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (+ 1/8 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(* 7/128 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 7/128 binary64))
(* (pow x 8) (+ 7/128 (* 5/64 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 5/64 binary64) (.f64 x x)) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 7/128 (+ (/ 1/8 (pow x 4)) (* 5/64 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 7/128 binary64)) (/.f64 #s(literal 5/64 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 7/128 (+ (/ 1/8 (pow x 4)) (+ (* 5/64 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 7/128 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) (.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* 7/128 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 7/128 binary64))
(* (pow x 7) (+ 7/128 (* 5/64 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 5/64 binary64) (.f64 x x)) #s(literal 7/128 binary64)))
(* (pow x 7) (+ 7/128 (+ (/ 1/8 (pow x 4)) (* 5/64 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 7/128 binary64)) (/.f64 #s(literal 5/64 binary64) (.f64 x x))))
(* (pow x 7) (+ 7/128 (+ (/ 1/8 (pow x 4)) (+ (* 5/64 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 7/128 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) (.f64 x x)))))
(* 7/128 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/128 binary64))
(* (pow x 6) (+ 7/128 (* 5/64 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 5/64 binary64) (.f64 x x)) #s(literal 7/128 binary64)))
(* (pow x 6) (+ 7/128 (+ (/ 1/8 (pow x 4)) (* 5/64 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 7/128 binary64)) (/.f64 #s(literal 5/64 binary64) (.f64 x x))))
(* (pow x 6) (+ 7/128 (+ (/ 1/8 (pow x 4)) (+ (* 5/64 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 7/128 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 (/ (sqrt -1) x)) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) x) x)
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ (sqrt -1) x))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (*.f64 x x))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt -1)))) (/ (sqrt -1) x)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (*.f64 x x))
(/ -1 (pow (sqrt -1) 2))
#s(literal 1 binary64)
(- (/ 1 (* x (pow (sqrt -1) 3))) (+ (/ 1 (* x (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal -1 binary64))
(- (+ (/ 1 (* x (pow (sqrt -1) 3))) (+ (* 3 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) (+ (/ 1 (* x (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))
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(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (+ (* 1/2 (/ (- (/ 1 (pow (sqrt -1) 2)) 1) (pow (sqrt -1) 2))) (* 7/2 (/ 1 (pow (sqrt -1) 2))))) x)) (* 3 (/ 1 (sqrt -1)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) 1) x)) (/ 1 (sqrt -1)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 7/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal -5/2 binary64)) x)) x)) x) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(* -1 (* (pow x 3) (sqrt -1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (pow x 3) (+ (sqrt -1) (* 3/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 3/2 (* (pow x 2) (sqrt -1)))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (pow x 3) (+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 3/2 (* (pow x 2) (sqrt -1))))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)))) (/.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))))

rewrite210.0ms (2.9%)

Memory

-22.9MiB live, 73.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	386
0	79	375
1	356	374
2	3351	374
0	9079	373

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 733

Calls

Call 1

Inputs
(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 x x)
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 2 binary64))) (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (/.f64 x (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))) (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 x (/.f64 x (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 2 binary64))) (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))) (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 x (/.f64 x (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (/.f64 x (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 2 binary64))) (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (/.f64 x (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))) (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 x (/.f64 x (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))))) (neg.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))))) (neg.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
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(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (expm1.f64 (log1p.f64 (.f64 (neg.f64 x) x)))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) #s(literal 1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) (fma.f64 x x (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) (fma.f64 x x (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 3 binary64)) (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (fma.f64 x x (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 2 binary64) (fma.f64 x x (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 3 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 x x) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) #s(literal -1 binary64)))
(+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))))
(.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3/4 binary64) (.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3/4 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3/2 binary64)))

eval130.0ms (1.8%)

Memory: 22.5MiB live, 97.0MiB allocated
Compiler: Compiled 57 473 to 3 518 computations (93.9% saved)

prune23.0ms (0.3%)

Memory

-34.6MiB live, 45.0MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	980	7	987
Fresh	1	3	4
Picked	3	2	5
Done	0	1	1
Total	984	13	997

Accuracy

100.0%

Counts

997 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	52.7%	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
	100.0%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
	99.4%	(.f64 #s(approx (/ (+ 0 ( x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (.f64 (.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
	30.6%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x)))
	99.7%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x) x (.f64 #s(literal 1/4 binary64) x)) x))
	99.4%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 #s(literal 1/4 binary64) x)) x))
	99.4%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
✓	99.7%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
	99.6%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
✓	99.4%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
	98.9%	#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
	4.3%	#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))

Compiler

Compiled 981 to 325 computations (66.9% saved)

regimes17.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 #s(literal 1/4 binary64) x)) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x) x (.f64 #s(literal 1/4 binary64) x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 #s(approx (/ (+ 0 ( x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (.f64 (.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x)))
(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))

Outputs

(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))

Calls

5 calls:

4.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
100.0%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes16.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 #s(literal 1/4 binary64) x)) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x) x (.f64 #s(literal 1/4 binary64) x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 #s(approx (/ (+ 0 ( x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (.f64 (.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x)))
(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))

Outputs

(*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))

Calls

5 calls:

4.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
100.0%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes15.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 #s(literal 1/4 binary64) x)) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x) x (.f64 #s(literal 1/4 binary64) x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 #s(approx (/ (+ 0 ( x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (.f64 (.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x)))

Outputs

(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))

Calls

5 calls:

3.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
100.0%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes12.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 #s(literal 1/4 binary64) x)) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x) x (.f64 #s(literal 1/4 binary64) x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))

Outputs

#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 5/64 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x (*.f64 #s(literal 1/4 binary64) x)) x))

Calls

5 calls:

3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
2.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
99.7%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.7%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.7%	1	`(*.f64 x x)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes11.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 #s(literal 1/4 binary64) x)) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))

Outputs

#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 5/64 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))

Calls

5 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
99.7%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.7%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.7%	1	`(*.f64 x x)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 #s(literal 1/4 binary64) x)) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))

Outputs

#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))

Calls

5 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
2.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
99.6%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.6%	1	`(*.f64 x x)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 #s(literal 1/4 binary64) x)) x))

Outputs
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 #s(literal 1/4 binary64) x)) x))

Calls

5 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
2.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
99.4%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.4%	1	`(*.f64 x x)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes28.0ms (0.4%)

Memory

-85.5MiB live, 7.6MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))

Outputs
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))

Calls

5 calls:

21.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
1.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
99.4%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.4%	1	`(*.f64 x x)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))

Outputs
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))

Calls

5 calls:

2.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
1.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
98.9%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
98.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
98.9%	1	`(*.f64 x x)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))

#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))

#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))

Outputs
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))

Calls

5 calls:

2.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
98.9%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
98.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
98.9%	1	`(*.f64 x x)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Accuracy

Total -1.0b remaining (-1.7%)

Threshold costs -1b (-1.7%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))

#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) #s(literal -1 binary64))

Outputs
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))

Calls

5 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
1.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
4.3%	1	`x`
4.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))`
4.3%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
4.3%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
4.3%	1	`(*.f64 x x)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify61.0ms (0.8%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	370
1	131	370
2	225	370
3	477	370
4	1450	370
5	3568	370
6	6675	370

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x) x (.f64 #s(literal 1/4 binary64) x)) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 #s(literal 1/4 binary64) x)) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))

Outputs
(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (.f64 x x) (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x) x (.f64 #s(literal 1/4 binary64) x)) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (.f64 x x) #s(literal 5/64 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/64 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x (.f64 #s(literal 1/4 binary64) x)) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 #s(approx (+ (* 1/8 (* x x)) 1/4) #s(literal 1/4 binary64)) x) x))
#s(approx (/ (- 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (* (/ (+ 0 (* x x)) (+ (pow (- 1 (* x x)) 3/2) 1)) (/ (- (- 2 (* x x)) (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1))) #s(literal 1 binary64))

soundness882.0ms (12.2%)

Memory

22.7MiB live, 22.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	44
0	14	44
1	64	44
2	483	43
3	7001	43
0	8508	43
0	189	684
1	570	634
2	1689	598
3	4899	592
0	8343	558
0	46	386
0	79	375
1	356	374
2	3351	374
0	9079	373
0	588	2732
1	1842	2286
2	6086	2173
0	8278	2097

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 563 to 193 computations (65.7% saved)

preprocess130.0ms (1.8%)

Memory: -35.5MiB live, 41.8MiB allocated
Remove: (abs x)
Compiler: Compiled 1 210 to 330 computations (72.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

(1-sqrt(1-xx))/(1+sqrt(1-xx))

start0.0ms (0%)

analyze0.0ms (0%)

sample3.0s (40.8%)

explain487.0ms (6.7%)

preprocess427.0ms (5.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify364.0ms (5%)

localize56.0ms (0.8%)

series5.0ms (0.1%)

simplify149.0ms (2.1%)

rewrite280.0ms (3.9%)

eval99.0ms (1.4%)

prune20.0ms (0.3%)

simplify131.0ms (1.8%)

localize348.0ms (4.8%)

series18.0ms (0.2%)

simplify322.0ms (4.4%)

rewrite210.0ms (2.9%)

eval130.0ms (1.8%)

prune23.0ms (0.3%)

regimes17.0ms (0.2%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes28.0ms (0.4%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

simplify61.0ms (0.8%)

soundness882.0ms (12.2%)

preprocess130.0ms (1.8%)

end0.0ms (0%)

Profiling