Metrics for sqrt(x*(x-1))/(x-2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	51.6%	48.4%	0%	0%	0%	0
0%	0%	51.6%	48.4%	0%	0%	0%	1
50%	25.8%	25.8%	48.4%	0%	0%	0%	2
66.7%	25.8%	12.9%	48.4%	0%	12.9%	0%	3
80%	25.8%	6.4%	48.4%	0%	19.3%	0%	4
88.9%	25.8%	3.2%	48.4%	0%	22.6%	0%	5
94.1%	25.8%	1.6%	48.4%	0%	24.2%	0%	6
94.1%	25.8%	1.6%	48.4%	0%	24.2%	0%	7
97%	26.2%	0.8%	48.4%	0%	24.6%	0%	8
98.5%	26.4%	0.4%	48.4%	0%	24.8%	0%	9
99.2%	26.5%	0.2%	48.4%	0%	24.9%	0%	10
99.6%	26.5%	0.1%	48.4%	0%	24.9%	0%	11
99.8%	26.6%	0.1%	48.4%	0%	25%	0%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.0s (28.2%)

Memory

66.5MiB live, 533.6MiB allocated

Samples

673.0ms	8 256×	0	valid
1.0ms	7×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 414.0ms

ival-sub: 117.0ms (28.3% of total)

ival-<=: 75.0ms (18.1% of total)

ival-sqrt: 67.0ms (16.2% of total)

ival-mult: 64.0ms (15.5% of total)

ival-div: 58.0ms (14% of total)

exact: 18.0ms (4.3% of total)

ival-and: 12.0ms (2.9% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain105.0ms (2.9%)

Memory

-29.8MiB live, 43.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`
-	-	`(-.f64 x #s(literal 1 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 x #s(literal 2 binary64))`
-	-	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`
-	-	`(sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

32.0ms

512×

valid

Compiler

Compiled 74 to 28 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 6.0ms (33.4% of total)

ival-mult: 4.0ms (22.2% of total)

ival-sqrt: 4.0ms (22.2% of total)

ival-div: 3.0ms (16.7% of total)

ival-true: 1.0ms (5.6% of total)

exact: 1.0ms (5.6% of total)

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

preprocess42.0ms (1.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	29	27
2	68	20
3	164	20
4	275	20
5	358	20
6	471	20
7	584	20
8	604	20
9	616	20
0	8	10
0	13	10
1	22	10
2	29	10
3	32	10
4	34	10
5	39	10
6	50	10
7	68	10
8	125	10
9	223	10
10	267	10
11	277	10
12	285	10
13	300	10
14	338	10
15	399	10
16	478	10
17	534	10
18	545	10
19	559	10
20	571	10
0	571	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))

Outputs
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 x #s(literal 2 binary64)))

Compiler

Compiled 10 to 8 computations (20% 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
▶	99.9%	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify22.0ms (0.6%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(*.f64 x (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	30
1	22	30
2	29	30
3	32	30
4	34	30
5	39	30
6	50	30
7	68	30
8	125	30
9	223	30
10	267	30
11	277	30
12	285	30
13	300	30
14	338	30
15	399	30
16	478	30
17	534	30
18	545	30
19	559	30
20	571	30
0	571	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize23.0ms (0.6%)

Memory

9.3MiB live, 9.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.01953125	(sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy	0.03515625	(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy	0.0625	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 3.0ms (33.6% of total)

ival-div: 2.0ms (22.4% of total)

ival-mult: 2.0ms (22.4% of total)

ival-sqrt: 2.0ms (22.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

4 → 30

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

Outputs
(* -1/2 (* (sqrt x) (sqrt -1)))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* -1/4 (* (sqrt (pow x 3)) (sqrt -1))))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/8 (* (sqrt x) (sqrt -1))))))))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/16 (* (sqrt x) (sqrt -1)))))))))))
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(* -1 x)
(* x (- x 1))
-1
(- x 1)
1
(+ 1 (* 3/2 (/ 1 x)))
(+ 1 (+ (* 3/2 (/ 1 x)) (/ 23/8 (pow x 2))))
(+ 1 (+ (* 3/2 (/ 1 x)) (+ (* 91/16 (/ 1 (pow x 3))) (/ 23/8 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* -1 (+ 1 (* 3/2 (/ 1 x))))
(- (* -1 (/ (+ 3/2 (* 23/8 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 3/2 (+ (* 23/8 (/ 1 x)) (/ 91/16 (pow x 2)))) x)) 1)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(* -1 (* x (- (/ 1 x) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (* x (- x 1)) (- x 1))
1.0ms	x	@	inf	((/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (* x (- x 1)) (- x 1))
1.0ms	x	@	-inf	((/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (* x (- x 1)) (- x 1))

Time

Variable

Point

Expression

2.0ms

((/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (* x (- x 1)) (- x 1))

1.0ms

inf

((/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (* x (- x 1)) (- x 1))

1.0ms

-inf

((/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (* x (- x 1)) (- x 1))

simplify159.0ms (4.3%)

Memory

-38.7MiB live, 40.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	403
1	370	377
2	1149	344
3	3372	325
0	8198	307

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

Calls

Call 1

Inputs
(* -1/2 (* (sqrt x) (sqrt -1)))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* -1/4 (* (sqrt (pow x 3)) (sqrt -1))))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/8 (* (sqrt x) (sqrt -1))))))))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/16 (* (sqrt x) (sqrt -1)))))))))))
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(* -1 x)
(* x (- x 1))
-1
(- x 1)
1
(+ 1 (* 3/2 (/ 1 x)))
(+ 1 (+ (* 3/2 (/ 1 x)) (/ 23/8 (pow x 2))))
(+ 1 (+ (* 3/2 (/ 1 x)) (+ (* 91/16 (/ 1 (pow x 3))) (/ 23/8 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* -1 (+ 1 (* 3/2 (/ 1 x))))
(- (* -1 (/ (+ 3/2 (* 23/8 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 3/2 (+ (* 23/8 (/ 1 x)) (/ 91/16 (pow x 2)))) x)) 1)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(* -1 (* x (- (/ 1 x) 1)))

Outputs
(* -1/2 (* (sqrt x) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 x))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* -1/4 (* (sqrt (pow x 3)) (sqrt -1))))
(.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/4 binary64) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/8 (* (sqrt x) (sqrt -1))))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/16 (* (sqrt x) (sqrt -1)))))))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/4 binary64)))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/2 binary64))))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 x x))) (.f64 x x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (* 3/2 (/ 1 x)) (/ 23/8 (pow x 2))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 3/2 (/ 1 x)) (+ (* 91/16 (/ 1 (pow x 3))) (/ 23/8 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 91/16 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 #s(literal -1/2 binary64) x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) x (+.f64 #s(literal -1/2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* -1 (+ 1 (* 3/2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(- (* -1 (/ (+ 3/2 (* 23/8 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x))
(- (* -1 (/ (+ 3/2 (+ (* 23/8 (/ 1 x)) (/ 91/16 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 91/16 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 23/8 binary64) x)) x))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(neg.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(-.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal 1/2 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite145.0ms (4%)

Memory

49.8MiB live, 49.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	59	24
2	338	24
3	3205	24
0	8511	24

Stop Event

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

Counts

4 → 363

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(expm1.f64 (log.f64 x))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval110.0ms (3%)

Memory: -88.2MiB live, 36.9MiB allocated
Compiler: Compiled 8 205 to 1 549 computations (81.1% saved)

prune14.0ms (0.4%)

Memory

19.9MiB live, 19.9MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	374	15	389
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	374	16	390

Accuracy

100.0%

Counts

390 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(/.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 2 binary64)))
▶	99.9%	(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))
▶	99.9%	(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
✓	99.9%	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
	91.4%	(/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
	8.5%	(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
	7.2%	(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (-.f64 x #s(literal 2 binary64)))
▶	4.2%	(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
	3.1%	(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
	99.9%	(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
	3.6%	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
▶	5.6%	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
	2.8%	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
	6.7%	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
▶	3.1%	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))

Compiler

Compiled 456 to 352 computations (22.8% saved)

simplify128.0ms (3.5%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) x)
cost-diff	0	(sqrt.f64 (-.f64 (*.f64 x x) x))
cost-diff	0	(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
cost-diff	0	(+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64))
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)
cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x))
cost-diff	0	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
cost-diff	0	(-.f64 x #s(literal 2 binary64))
cost-diff	0	(+.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
cost-diff	0	(-.f64 x #s(literal -2 binary64))
cost-diff	0	(.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))
cost-diff	0	(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	173
0	53	173
1	73	173
2	97	173
3	133	173
4	175	173
5	237	173
6	374	173
7	640	173
8	1018	173
9	1582	173
10	2638	173
11	3132	173
12	3358	173
13	3530	173
14	3579	173
15	3605	173
16	3615	173
17	3615	173
0	3615	173

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))
(.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 x x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
#s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(-.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x))
#s(literal -1 binary64)
(/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)
(+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64))
(/.f64 #s(literal 23/8 binary64) x)
#s(literal 23/8 binary64)
x
#s(literal 3/2 binary64)
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
x
(-.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 x #s(literal -2 binary64))) (fma.f64 x x #s(literal -4 binary64)))
(.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))
(.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 x x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 x #s(literal 1/2 binary64))) (-.f64 x #s(literal 2 binary64)))
#s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x))
#s(approx (sqrt (* x (- x 1))) (-.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) x)
(-.f64 x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
x
(-.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal -3/2 binary64)) x)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal -3/2 binary64)) x))
#s(literal -1 binary64)
(/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)
(/.f64 (-.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal -3/2 binary64)) x)
(+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64))
(-.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal -3/2 binary64))
(/.f64 #s(literal 23/8 binary64) x)
#s(literal 23/8 binary64)
x
#s(literal 3/2 binary64)
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 x #s(literal 2 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(-.f64 (*.f64 x x) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 x x)
x
(-.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize64.0ms (1.8%)

Memory

26.9MiB live, 26.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.01953125	(-.f64 (*.f64 x x) x)
accuracy	0.01953125	(sqrt.f64 (-.f64 (*.f64 x x) x))
accuracy	0.0625	(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
accuracy	0.00390625	(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x))
accuracy	0.01953125	(+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64))
accuracy	0.125	(/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)
accuracy	60.42264732556952	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
accuracy	0.0	(-.f64 x #s(literal 2 binary64))
accuracy	0.0	(+.f64 #s(literal -1/2 binary64) x)
accuracy	0.0625	(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
accuracy	61.32953451261928	#s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x))
accuracy	61.991016056634685	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
accuracy	0.01953125	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy	0.03515625	(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))
accuracy	0.03515625	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	0.0390625	(.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))

Samples

46.0ms

256×

valid

Compiler

Compiled 157 to 31 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 8.0ms (26.8% of total)

ival-sub: 6.0ms (20.1% of total)

ival-mult: 6.0ms (20.1% of total)

ival-sqrt: 5.0ms (16.7% of total)

ival-add: 3.0ms (10% of total)

exact: 1.0ms (3.3% of total)

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

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

series7.0ms (0.2%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

18 → 59

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))
(.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))
(-.f64 x #s(literal -2 binary64))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
#s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal -1/2 binary64) x)
(-.f64 x #s(literal 2 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x))
(/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)
(+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)

Outputs
(* -1/2 (* (sqrt x) (sqrt -1)))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* -1/4 (* (sqrt (pow x 3)) (sqrt -1))))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/8 (* (sqrt x) (sqrt -1))))))))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/16 (* (sqrt x) (sqrt -1)))))))))))
(* 2 (* (sqrt x) (sqrt -1)))
(+ (* 2 (* (sqrt x) (sqrt -1))) (* (sqrt (pow x 3)) (sqrt -1)))
(+ (* 2 (* (sqrt x) (sqrt -1))) (* x (+ (* (sqrt x) (sqrt -1)) (* (sqrt x) (/ 1 (sqrt -1))))))
(+ (* 2 (* (sqrt x) (sqrt -1))) (* x (+ (* x (+ (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1))))) (* (sqrt x) (sqrt -1)))))
2
(+ 2 x)
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
-1/2
(- x 1/2)
-2
(- x 2)
(/ -23/8 (pow x 2))
(/ (- (* -3/2 x) 23/8) (pow x 2))
(/ (- (* x (- (* -1 x) 3/2)) 23/8) (pow x 2))
(/ 23/8 (pow x 2))
(/ (+ 23/8 (* 3/2 x)) (pow x 2))
(/ 23/8 x)
(/ (+ 23/8 (* 3/2 x)) x)
(* -1 x)
(* x (- x 1))
(pow x 2)
1
(+ 1 (* 3/2 (/ 1 x)))
(+ 1 (+ (* 3/2 (/ 1 x)) (/ 23/8 (pow x 2))))
(+ 1 (+ (* 3/2 (/ 1 x)) (+ (* 91/16 (/ 1 (pow x 3))) (/ 23/8 (pow x 2)))))
(* (pow x 2) (+ 1 (* 3/2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (* 3/2 (/ 1 x))) (/ 9/8 (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ 9/8 (* 5/16 (/ 1 x))) (pow x 2))) (* 3/2 (/ 1 x)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* x (- 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 x))))
(- (* -1 (/ (+ 3/2 (* 23/8 (/ 1 x))) x)) 1)
(/ 3/2 x)
(/ (+ 3/2 (* 23/8 (/ 1 x))) x)
3/2
(+ 3/2 (* 23/8 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(- (* -1 (/ (+ 3/2 (+ (* 23/8 (/ 1 x)) (/ 91/16 (pow x 2)))) x)) 1)
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 3/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 3/2 (* 9/8 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 3/2 (* -1 (/ (+ 9/8 (* 5/16 (/ 1 x))) x))) x)) 1))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (* (- x -2) (sqrt (* (- x 1) x))) (- x -2) (sqrt (* (- x 1) x)) (/ (sqrt (* x (- x 1))) (- x 2)) (/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (+ -1/2 x) (- x 2) (/ (sqrt (* x (- x 1))) (- x 2)) (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/ (+ (/ 23/8 x) 3/2) x) (+ (/ 23/8 x) 3/2) (/ (sqrt (- (* x x) x)) (- x 2)) (sqrt (- (* x x) x)) (- (* x x) x) (* x x) (* (- x 1) x))
2.0ms	x	@	inf	((/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (* (- x -2) (sqrt (* (- x 1) x))) (- x -2) (sqrt (* (- x 1) x)) (/ (sqrt (* x (- x 1))) (- x 2)) (/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (+ -1/2 x) (- x 2) (/ (sqrt (* x (- x 1))) (- x 2)) (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/ (+ (/ 23/8 x) 3/2) x) (+ (/ 23/8 x) 3/2) (/ (sqrt (- (* x x) x)) (- x 2)) (sqrt (- (* x x) x)) (- (* x x) x) (* x x) (* (- x 1) x))
2.0ms	x	@	-inf	((/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (* (- x -2) (sqrt (* (- x 1) x))) (- x -2) (sqrt (* (- x 1) x)) (/ (sqrt (* x (- x 1))) (- x 2)) (/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (+ -1/2 x) (- x 2) (/ (sqrt (* x (- x 1))) (- x 2)) (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/ (+ (/ 23/8 x) 3/2) x) (+ (/ 23/8 x) 3/2) (/ (sqrt (- (* x x) x)) (- x 2)) (sqrt (- (* x x) x)) (- (* x x) x) (* x x) (* (- x 1) x))

Time

Variable

Point

Expression

2.0ms

((/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (* (- x -2) (sqrt (* (- x 1) x))) (- x -2) (sqrt (* (- x 1) x)) (/ (sqrt (* x (- x 1))) (- x 2)) (/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (+ -1/2 x) (- x 2) (/ (sqrt (* x (- x 1))) (- x 2)) (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/ (+ (/ 23/8 x) 3/2) x) (+ (/ 23/8 x) 3/2) (/ (sqrt (- (* x x) x)) (- x 2)) (sqrt (- (* x x) x)) (- (* x x) x) (* x x) (* (- x 1) x))

2.0ms

inf

((/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (* (- x -2) (sqrt (* (- x 1) x))) (- x -2) (sqrt (* (- x 1) x)) (/ (sqrt (* x (- x 1))) (- x 2)) (/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (+ -1/2 x) (- x 2) (/ (sqrt (* x (- x 1))) (- x 2)) (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/ (+ (/ 23/8 x) 3/2) x) (+ (/ 23/8 x) 3/2) (/ (sqrt (- (* x x) x)) (- x 2)) (sqrt (- (* x x) x)) (- (* x x) x) (* x x) (* (- x 1) x))

2.0ms

-inf

((/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (* (- x -2) (sqrt (* (- x 1) x))) (- x -2) (sqrt (* (- x 1) x)) (/ (sqrt (* x (- x 1))) (- x 2)) (/ (sqrt (* x (- x 1))) (- x 2)) (sqrt (* x (- x 1))) (+ -1/2 x) (- x 2) (/ (sqrt (* x (- x 1))) (- x 2)) (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/ (+ (/ 23/8 x) 3/2) x) (+ (/ 23/8 x) 3/2) (/ (sqrt (- (* x x) x)) (- x 2)) (sqrt (- (* x x) x)) (- (* x x) x) (* x x) (* (- x 1) x))

simplify145.0ms (4%)

Memory

-48.7MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	650
1	567	611
2	1754	572
3	3863	523
0	8315	498

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

Inputs
(* -1/2 (* (sqrt x) (sqrt -1)))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* -1/4 (* (sqrt (pow x 3)) (sqrt -1))))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/8 (* (sqrt x) (sqrt -1))))))))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/16 (* (sqrt x) (sqrt -1)))))))))))
(* 2 (* (sqrt x) (sqrt -1)))
(+ (* 2 (* (sqrt x) (sqrt -1))) (* (sqrt (pow x 3)) (sqrt -1)))
(+ (* 2 (* (sqrt x) (sqrt -1))) (* x (+ (* (sqrt x) (sqrt -1)) (* (sqrt x) (/ 1 (sqrt -1))))))
(+ (* 2 (* (sqrt x) (sqrt -1))) (* x (+ (* x (+ (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1))))) (* (sqrt x) (sqrt -1)))))
2
(+ 2 x)
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
-1/2
(- x 1/2)
-2
(- x 2)
(/ -23/8 (pow x 2))
(/ (- (* -3/2 x) 23/8) (pow x 2))
(/ (- (* x (- (* -1 x) 3/2)) 23/8) (pow x 2))
(/ 23/8 (pow x 2))
(/ (+ 23/8 (* 3/2 x)) (pow x 2))
(/ 23/8 x)
(/ (+ 23/8 (* 3/2 x)) x)
(* -1 x)
(* x (- x 1))
(pow x 2)
1
(+ 1 (* 3/2 (/ 1 x)))
(+ 1 (+ (* 3/2 (/ 1 x)) (/ 23/8 (pow x 2))))
(+ 1 (+ (* 3/2 (/ 1 x)) (+ (* 91/16 (/ 1 (pow x 3))) (/ 23/8 (pow x 2)))))
(* (pow x 2) (+ 1 (* 3/2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (* 3/2 (/ 1 x))) (/ 9/8 (pow x 2))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ 9/8 (* 5/16 (/ 1 x))) (pow x 2))) (* 3/2 (/ 1 x)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* x (- 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 x))))
(- (* -1 (/ (+ 3/2 (* 23/8 (/ 1 x))) x)) 1)
(/ 3/2 x)
(/ (+ 3/2 (* 23/8 (/ 1 x))) x)
3/2
(+ 3/2 (* 23/8 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(- (* -1 (/ (+ 3/2 (+ (* 23/8 (/ 1 x)) (/ 91/16 (pow x 2)))) x)) 1)
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 3/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 3/2 (* 9/8 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ 3/2 (* -1 (/ (+ 9/8 (* 5/16 (/ 1 x))) x))) x)) 1))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))

Outputs
(* -1/2 (* (sqrt x) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 x))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* -1/4 (* (sqrt (pow x 3)) (sqrt -1))))
(.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/4 binary64) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/8 (* (sqrt x) (sqrt -1))))))))
(fma.f64 (.f64 x x) (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt x) (sqrt -1))) (* x (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* -1/16 (* (sqrt x) (sqrt -1)))))))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/4 binary64)))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/2 binary64))))
(* 2 (* (sqrt x) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
(+ (* 2 (* (sqrt x) (sqrt -1))) (* (sqrt (pow x 3)) (sqrt -1)))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 2 (* (sqrt x) (sqrt -1))) (* x (+ (* (sqrt x) (sqrt -1)) (* (sqrt x) (/ 1 (sqrt -1))))))
(*.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) x) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+ (* 2 (* (sqrt x) (sqrt -1))) (* x (+ (* x (+ (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1))))) (* (sqrt x) (sqrt -1)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (+.f64 #s(literal 2 binary64) x)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 x x))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(-.f64 x #s(literal 1/2 binary64))
-2
#s(literal -2 binary64)
(- x 2)
(-.f64 x #s(literal 2 binary64))
(/ -23/8 (pow x 2))
(/.f64 #s(literal -23/8 binary64) (*.f64 x x))
(/ (- (* -3/2 x) 23/8) (pow x 2))
(/.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 23/8 binary64) x)) x)
(/ (- (* x (- (* -1 x) 3/2)) 23/8) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -3/2 binary64) x) (/.f64 #s(literal 23/8 binary64) x)) x)
(/ 23/8 (pow x 2))
(/.f64 #s(literal 23/8 binary64) (*.f64 x x))
(/ (+ 23/8 (* 3/2 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 23/8 binary64)) x) x)
(/ 23/8 x)
(/.f64 #s(literal 23/8 binary64) x)
(/ (+ 23/8 (* 3/2 x)) x)
(/.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 23/8 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 3/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (* 3/2 (/ 1 x)) (/ 23/8 (pow x 2))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 3/2 (/ 1 x)) (+ (* 91/16 (/ 1 (pow x 3))) (/ 23/8 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 91/16 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* 3/2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -3/2 binary64)) x)
(* (pow x 2) (- (+ 1 (* 3/2 (/ 1 x))) (/ 9/8 (pow x 2))))
(*.f64 (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 9/8 binary64) x)) x) x)
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ 9/8 (* 5/16 (/ 1 x))) (pow x 2))) (* 3/2 (/ 1 x)))))
(fma.f64 (-.f64 x #s(literal -3/2 binary64)) x (*.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 5/16 binary64) x)) x) x))
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (- 1 (* 1/2 (/ 1 x))))
(-.f64 x #s(literal 1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x) x (-.f64 x #s(literal 1/2 binary64)))
(* x (- 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal 2 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3/2 (/ 1 x))))
(-.f64 (/.f64 #s(literal -3/2 binary64) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 3/2 (* 23/8 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x))
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* 23/8 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)
3/2
#s(literal 3/2 binary64)
(+ 3/2 (* 23/8 (/ 1 x)))
(+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(- (* -1 (/ (+ 3/2 (+ (* 23/8 (/ 1 x)) (/ 91/16 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 91/16 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 23/8 binary64) x)) x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 3/2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -3/2 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (- 3/2 (* 9/8 (/ 1 x))) x)) 1))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/2 binary64)) x) x)
(* (pow x 2) (- (* -1 (/ (+ 3/2 (* -1 (/ (+ 9/8 (* 5/16 (/ 1 x))) x))) x)) 1))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 9/8 binary64)) x) #s(literal 3/2 binary64)) x (*.f64 (neg.f64 x) x))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(neg.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(neg.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) #s(literal 1/2 binary64)) x))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(-.f64 x #s(literal 2 binary64))

rewrite173.0ms (4.7%)

Memory

-21.0MiB live, 57.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	146
0	53	151
1	212	141
2	1380	141
0	8201	141

Stop Event

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

Counts

18 → 746

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))
(.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))
(-.f64 x #s(literal -2 binary64))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
#s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal -1/2 binary64) x)
(-.f64 x #s(literal 2 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x))
(/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)
(+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)

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

eval77.0ms (2.1%)

Memory: 63.3MiB live, 63.3MiB allocated
Compiler: Compiled 16 690 to 2 284 computations (86.3% saved)

prune29.0ms (0.8%)

Memory

-44.9MiB live, 31.8MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	636	12	648
Fresh	5	5	10
Picked	1	4	5
Done	0	1	1
Total	642	22	664

Accuracy

100.0%

Counts

664 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (-.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 x x #s(literal -4 binary64)) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
✓	99.9%	(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))
	4.2%	(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) #s(approx (sqrt ( (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal -4 binary64)))
	99.9%	(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 x #s(literal -2 binary64))))
✓	99.9%	(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
	91.5%	(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64)))
✓	99.9%	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
	91.4%	(/.f64 (sqrt.f64 #s(approx (- (* x x) x) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
	8.5%	(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
	7.2%	(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (-.f64 x #s(literal 2 binary64)))
✓	4.2%	(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
	3.1%	(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
	99.9%	(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
	4.2%	(.f64 (/.f64 #s(approx (sqrt ( x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
	3.6%	#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
	6.7%	#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
	2.8%	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (/ 23/8 x) 3/2) #s(literal 3/2 binary64)) x)))
	5.6%	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 (-.f64 (-.f64 #s(literal -3/2 binary64) x) (/.f64 #s(literal 23/8 binary64) x)) x)))
	4.1%	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 #s(literal -23/8 binary64) (*.f64 x x))))
	7.9%	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
✓	3.1%	#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))

Compiler

Compiled 848 to 411 computations (51.5% saved)

regimes14.0ms (0.4%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (/ 23/8 x) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 #s(literal -23/8 binary64) (*.f64 x x))))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (- (* x x) x) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 (-.f64 (-.f64 #s(literal -3/2 binary64) x) (/.f64 #s(literal 23/8 binary64) x)) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
(.f64 (/.f64 #s(approx (sqrt ( x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) #s(approx (sqrt ( (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal -4 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 x x #s(literal -4 binary64)) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 2 binary64)))

Outputs
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))

Calls

2 calls:

6.0ms	x
6.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes12.0ms (0.3%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (/ 23/8 x) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 #s(literal -23/8 binary64) (*.f64 x x))))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (- (* x x) x) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 (-.f64 (-.f64 #s(literal -3/2 binary64) x) (/.f64 #s(literal 23/8 binary64) x)) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
(.f64 (/.f64 #s(approx (sqrt ( x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) #s(approx (sqrt ( (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal -4 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))

Outputs
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))

Calls

2 calls:

6.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
5.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes12.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (/ 23/8 x) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 #s(literal -23/8 binary64) (*.f64 x x))))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (- (* x x) x) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 (-.f64 (-.f64 #s(literal -3/2 binary64) x) (/.f64 #s(literal 23/8 binary64) x)) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
(.f64 (/.f64 #s(approx (sqrt ( x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) #s(approx (sqrt ( (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal -4 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Outputs
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))

Calls

2 calls:

5.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
5.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes11.0ms (0.3%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (/ 23/8 x) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 #s(literal -23/8 binary64) (*.f64 x x))))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (- (* x x) x) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 (-.f64 (-.f64 #s(literal -3/2 binary64) x) (/.f64 #s(literal 23/8 binary64) x)) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
(.f64 (/.f64 #s(approx (sqrt ( x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) #s(approx (sqrt ( (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal -4 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))

Outputs
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))

Calls

2 calls:

5.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
5.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes10.0ms (0.3%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (/ 23/8 x) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 #s(literal -23/8 binary64) (*.f64 x x))))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (- (* x x) x) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 (-.f64 (-.f64 #s(literal -3/2 binary64) x) (/.f64 #s(literal 23/8 binary64) x)) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
(.f64 (/.f64 #s(approx (sqrt ( x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) #s(approx (sqrt ( (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal -4 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (-.f64 x #s(literal 2 binary64)))

Outputs

(/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))

(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (-.f64 x #s(literal 2 binary64)))

Calls

2 calls:

5.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
4.0ms	x

Results

Accuracy	Segments	Branch
94.1%	2	`x`
94.0%	2	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes11.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (/ 23/8 x) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 #s(literal -23/8 binary64) (*.f64 x x))))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (- (* x x) x) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 (-.f64 (-.f64 #s(literal -3/2 binary64) x) (/.f64 #s(literal 23/8 binary64) x)) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
(.f64 (/.f64 #s(approx (sqrt ( x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) #s(approx (sqrt ( (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal -4 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))

Outputs

(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64)))

#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))

Calls

2 calls:

5.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
4.0ms	x

Results

Accuracy	Segments	Branch
94.0%	2	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`
94.0%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes9.0ms (0.3%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (/ 23/8 x) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 #s(literal -23/8 binary64) (*.f64 x x))))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(approx (- (* x x) x) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 (-.f64 (-.f64 #s(literal -3/2 binary64) x) (/.f64 #s(literal 23/8 binary64) x)) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) x)))
(.f64 (/.f64 #s(approx (sqrt ( x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) #s(approx (sqrt ( (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))) (fma.f64 x x #s(literal -4 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64)))

Outputs
(/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))

Calls

2 calls:

4.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
4.0ms	x

Results

Accuracy	Segments	Branch
93.8%	2	`x`
93.7%	2	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes27.0ms (0.7%)

Memory

-80.9MiB live, 5.0MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (/ 23/8 x) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 #s(literal -23/8 binary64) (*.f64 x x))))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))

Outputs

(/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))

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

Calls

2 calls:

24.0ms	x
3.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
10.8%	2	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`
10.9%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes6.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (/ 23/8 x) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 #s(literal -23/8 binary64) (*.f64 x x))))
(/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64)))

Outputs

#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))

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

Calls

2 calls:

3.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
10.2%	2	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`
10.2%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes5.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (-.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (/ 23/8 x) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (- x -2) (sqrt (* (- x 1) x))) (+ (* x x) -4)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) (/.f64 #s(literal -23/8 binary64) (*.f64 x x))))

Outputs

#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))

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

Calls

2 calls:

2.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
10.0%	2	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`
10.0%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))

Outputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))

Calls

2 calls:

1.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
7.9%	1	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`
7.9%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))

Outputs
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))

Calls

2 calls:

1.0ms	(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
3.1%	1	`(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))`
3.1%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch10.0ms (0.3%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
9.0ms	-1.8165740653427904e-308	1.448247475182268

Samples

6.0ms

101×

invalid

Compiler

Compiled 13 to 12 computations (7.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (30.7% of total)

ival-div: 1.0ms (30.7% of total)

ival-mult: 1.0ms (30.7% of total)

ival-sqrt: 1.0ms (30.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.7390171118323895e-155	1.0000000125207416

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch10.0ms (0.3%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
9.0ms	-1.8165740653427904e-308	1.448247475182268

Samples

6.0ms

101×

invalid

Compiler

Compiled 13 to 12 computations (7.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (31% of total)

ival-div: 1.0ms (31% of total)

ival-mult: 1.0ms (31% of total)

ival-sqrt: 1.0ms (31% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.3%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
9.0ms	-1.8165740653427904e-308	1.448247475182268

Samples

6.0ms

101×

invalid

Compiler

Compiled 13 to 12 computations (7.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (30.7% of total)

ival-div: 1.0ms (30.7% of total)

ival-mult: 1.0ms (30.7% of total)

ival-sqrt: 1.0ms (30.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.3%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
9.0ms	-1.8165740653427904e-308	1.448247475182268

Samples

6.0ms

101×

invalid

Compiler

Compiled 13 to 12 computations (7.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (30.8% of total)

ival-div: 1.0ms (30.8% of total)

ival-mult: 1.0ms (30.8% of total)

ival-sqrt: 1.0ms (30.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.4%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.448247475182268	976.298178976329

Samples

7.0ms

128×

valid

Compiler

Compiled 317 to 276 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (24% of total)

ival-div: 1.0ms (24% of total)

ival-mult: 1.0ms (24% of total)

ival-sqrt: 1.0ms (24% of total)

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

exact: 0.0ms (0% of total)

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

simplify103.0ms (2.8%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	310
1	100	310
2	135	310
3	191	310
4	262	310
5	437	310
6	747	310
7	2650	310
8	7093	310

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (-.f64 x #s(literal 2 binary64))))
(if (<=.f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64))) #s(literal -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64))) #s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64))) (/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64))) #s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64))))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))

Outputs
(/.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -4 binary64)))
(.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (-.f64 x #s(literal 2 binary64))))
(if (<=.f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64))) #s(literal -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64))) #s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 2 binary64))) #s(literal -3019169939857233/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) #s(approx (- x 2) #s(literal -2 binary64))) #s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 23/8 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (sqrt.f64 #s(approx (* x (- x 1)) (neg.f64 x))) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (sqrt (* x (- x 1))) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64))) (/.f64 #s(approx (sqrt (* x (- x 1))) (+.f64 #s(literal -1/2 binary64) x)) (-.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64))) #s(approx (/ (sqrt (* x (- x 1))) (- x 2)) (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64))))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(approx (- -1 (/ (+ (/ 23/8 x) 3/2) x)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (* x (- x 1))) (- x 2)) #s(literal 1 binary64))

soundness975.0ms (26.7%)

Memory

19.8MiB live, 19.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	59	24
2	338	24
3	3205	24
0	8511	24
0	195	650
1	567	611
2	1754	572
3	3863	523
0	8315	498
0	128	403
1	370	377
2	1149	344
3	3372	325
0	8198	307

Stop Event

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

Compiler

Compiled 540 to 257 computations (52.4% saved)

preprocess118.0ms (3.2%)

Memory: -35.4MiB live, 42.5MiB allocated
Compiler: Compiled 640 to 178 computations (72.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	27
1	29	27
2	68	20
3	164	20
4	275	20
5	358	20
6	471	20
7	584	20
8	604	20
9	616	20
0	8	10
0	13	10
1	22	10
2	29	10
3	32	10
4	34	10
5	39	10
6	50	10
7	68	10
8	125	10
9	223	10
10	267	10
11	277	10
12	285	10
13	300	10
14	338	10
15	399	10
16	478	10
17	534	10
18	545	10
19	559	10
20	571	10
0	571	10

Iter	Nodes	Cost
0	8	30
0	13	30
1	22	30
2	29	30
3	32	30
4	34	30
5	39	30
6	50	30
7	68	30
8	125	30
9	223	30
10	267	30
11	277	30
12	285	30
13	300	30
14	338	30
15	399	30
16	478	30
17	534	30
18	545	30
19	559	30
20	571	30
0	571	30

Iter	Nodes	Cost
0	10	27
1	29	27
2	68	20
3	164	20
4	275	20
5	358	20
6	471	20
7	584	20
8	604	20
9	616	20
0	8	10
0	13	10
1	22	10
2	29	10
3	32	10
4	34	10
5	39	10
6	50	10
7	68	10
8	125	10
9	223	10
10	267	10
11	277	10
12	285	10
13	300	10
14	338	10
15	399	10
16	478	10
17	534	10
18	545	10
19	559	10
20	571	10
0	571	10

Iter	Nodes	Cost
0	8	30
0	13	30
1	22	30
2	29	30
3	32	30
4	34	30
5	39	30
6	50	30
7	68	30
8	125	30
9	223	30
10	267	30
11	277	30
12	285	30
13	300	30
14	338	30
15	399	30
16	478	30
17	534	30
18	545	30
19	559	30
20	571	30
0	571	30

start0.0ms (0%)

analyze4.0ms (0.1%)

sample1.0s (28.2%)

explain105.0ms (2.9%)

preprocess42.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify22.0ms (0.6%)

localize23.0ms (0.6%)

series4.0ms (0.1%)

simplify159.0ms (4.3%)

rewrite145.0ms (4%)

eval110.0ms (3%)

prune14.0ms (0.4%)

simplify128.0ms (3.5%)

localize64.0ms (1.8%)

series7.0ms (0.2%)

simplify145.0ms (4%)

rewrite173.0ms (4.7%)

eval77.0ms (2.1%)

prune29.0ms (0.8%)

regimes14.0ms (0.4%)

regimes12.0ms (0.3%)

regimes12.0ms (0.3%)

regimes11.0ms (0.3%)

regimes10.0ms (0.3%)

regimes11.0ms (0.3%)

regimes9.0ms (0.3%)

regimes27.0ms (0.7%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch10.0ms (0.3%)

bsearch0.0ms (0%)

bsearch10.0ms (0.3%)

bsearch10.0ms (0.3%)

bsearch10.0ms (0.3%)

bsearch14.0ms (0.4%)

simplify103.0ms (2.8%)

soundness975.0ms (26.7%)

preprocess118.0ms (3.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	27
1	29	27
2	68	20
3	164	20
4	275	20
5	358	20
6	471	20
7	584	20
8	604	20
9	616	20
0	8	10
0	13	10
1	22	10
2	29	10
3	32	10
4	34	10
5	39	10
6	50	10
7	68	10
8	125	10
9	223	10
10	267	10
11	277	10
12	285	10
13	300	10
14	338	10
15	399	10
16	478	10
17	534	10
18	545	10
19	559	10
20	571	10
0	571	10

Iter	Nodes	Cost
0	8	30
0	13	30
1	22	30
2	29	30
3	32	30
4	34	30
5	39	30
6	50	30
7	68	30
8	125	30
9	223	30
10	267	30
11	277	30
12	285	30
13	300	30
14	338	30
15	399	30
16	478	30
17	534	30
18	545	30
19	559	30
20	571	30
0	571	30