Metrics for sqrt(x - (1-s)^2 * 0.25)^(0.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze36.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
0%	0%	0%	100%	0%	0%	0%	7
0%	0%	0%	100%	0%	0%	0%	8
0%	0%	0%	100%	0%	0%	0%	9
0%	0%	0%	100%	0%	0%	0%	10
0%	0%	0%	100%	0%	0%	0%	11
0%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 28 to 21 computations (25% saved)

sample20.7s (87.2%)

Memory

193.3MiB live, 6 552.0MiB allocated

Samples

7.8s	38 483×	0	invalid
1.2s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.8s

ival-pow2: 1.7s (30.1% of total)

ival-<=: 1.2s (21% of total)

ival-sqrt: 984.0ms (17.1% of total)

ival-sub: 916.0ms (15.9% of total)

ival-mult: 558.0ms (9.7% of total)

ival-and: 179.0ms (3.1% of total)

exact: 158.0ms (2.7% of total)

ival-assert: 23.0ms (0.4% of total)

Bogosity

explain286.0ms (1.2%)

Memory

-546.1MiB live, 205.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
1	1	(3.363441697345596e-6 0.9963375182992432)	1	(1.935866204310575e-5 0.991279988458868)	`(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))`
0	0	-	0	-	`(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))`
0	0	-	0	-	`(pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`#s(literal 1/4 binary64)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) s)`
0	0	-	0	-	`s`
0	0	-	0	-	`(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))`	cancellation	1	1

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	1	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

42.0ms

512×

valid

Compiler

Compiled 120 to 40 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sqrt: 7.0ms (29.7% of total)

ival-sub: 6.0ms (25.4% of total)

ival-pow2: 6.0ms (25.4% of total)

ival-mult: 3.0ms (12.7% of total)

ival-true: 1.0ms (4.2% of total)

exact: 1.0ms (4.2% of total)

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

preprocess375.0ms (1.6%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	61
1	67	59
2	160	57
3	606	57
4	2531	57
5	4319	57
6	5263	57
7	6206	57
8	6646	57
9	6901	57
10	6932	57
11	6932	57
12	7190	57
13	7296	57
14	7322	57
15	7336	57
16	7342	57
17	7344	57
0	12	12
0	18	11
1	30	11
2	58	11
3	192	11
4	734	11
5	1974	11
6	3331	11
7	3755	11
8	3869	11
9	3907	11
10	3920	11
11	3986	11
12	4313	11
13	4329	11
14	4329	11
0	4329	10

Stop Event

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

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))

Outputs

(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))

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

Compiler

Compiled 12 to 12 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))

Compiler

Compiled 12 to 12 computations (0% saved)

simplify156.0ms (0.7%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff	0	(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
cost-diff	1	(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
cost-diff	1	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
0	18	51
1	30	51
2	58	51
3	192	51
4	734	51
5	1974	51
6	3331	51
7	3755	51
8	3869	51
9	3907	51
10	3920	51
11	3986	51
12	4313	51
13	4329	51
14	4329	51
0	4329	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
x
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) s)
#s(literal 1 binary64)
s
#s(literal 2 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)

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

localize28.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))
accuracy	0.09765625	(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
accuracy	0.12890625	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))
accuracy	0.19142997658471797	(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))

Samples

20.0ms

256×

valid

Compiler

Compiled 54 to 14 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 3.0ms (26.3% of total)

ival-sqrt: 3.0ms (26.3% of total)

ival-pow2: 3.0ms (26.3% of total)

ival-mult: 2.0ms (17.5% of total)

exact: 1.0ms (8.8% of total)

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

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

series15.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 67

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))
(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))

Outputs
(* (pow -1/4 1/4) (sqrt (- 1 s)))
(+ (* -1 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 3)))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(+ (* x (+ (* -3/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 7)))))) (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(+ (* x (+ (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))) (* x (+ (* -7/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 11)))))) (* -3/2 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 7))))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(* -1/4 (pow (- 1 s) 2))
(- x (* 1/4 (pow (- 1 s) 2)))
(* (sqrt -1/4) (- 1 s))
(+ (* 1/2 (/ x (* (sqrt -1/4) (- 1 s)))) (* (sqrt -1/4) (- 1 s)))
(+ (* x (+ (* -1/8 (/ x (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(+ (* x (+ (* x (- (* 1/16 (/ x (* (pow (sqrt -1/4) 5) (pow (- 1 s) 5)))) (* 1/8 (/ 1 (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(pow (* 1 x) 1/4)
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (pow (* 1 x) 1/4))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) (pow (* 1 x) 1/4)))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) (+ (* (pow (/ 1 (pow x 11)) 1/4) (+ (* -1/768 (pow (- 1 s) 6)) (+ (* -1/24576 (pow (- 1 s) 6)) (* 1/2048 (pow (- 1 s) 6))))) (pow (* 1 x) 1/4))))
x
(* x (+ 1 (* -1/4 (/ (pow (- 1 s) 2) x))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2))) (* -1/128 (* (sqrt (/ 1 (pow x 5))) (pow (- 1 s) 4))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2))) (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (pow (- 1 s) 4))) (* -1/1024 (* (sqrt (/ 1 (pow x 7))) (pow (- 1 s) 6)))))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(+ (* -1/16 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2)))) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))))) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/2048 (pow (- 1 s) 6)) (+ (* 1/24576 (pow (- 1 s) 6)) (* 1/768 (pow (- 1 s) 6))))))) (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))))) x)) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(* -1 (* x (- (* 1/4 (/ (pow (- 1 s) 2) x)) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (* (pow (sqrt -1) 2) (pow (- 1 s) 4)))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (* (pow (sqrt -1) 2) (pow (- 1 s) 4)))) (+ (* 1/1024 (* (sqrt (/ 1 (pow x 7))) (* (pow (sqrt -1) 2) (pow (- 1 s) 6)))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(pow (* 1 (- x 1/4)) 1/4)
(+ (* 1/8 (* (pow (/ 1 (pow (- x 1/4) 3)) 1/4) s)) (pow (* 1 (- x 1/4)) 1/4))
(+ (* s (+ (* 1/8 (pow (/ 1 (pow (- x 1/4) 3)) 1/4)) (* (pow (* 1 (- x 1/4)) 1/4) (* s (+ (* -1/8 (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2))))) (* 1/128 (/ 1 (pow (- x 1/4) 2)))))))) (pow (* 1 (- x 1/4)) 1/4))
(+ (* s (+ (* 1/8 (pow (/ 1 (pow (- x 1/4) 3)) 1/4)) (* s (+ (* (pow (* 1 (- x 1/4)) 1/4) (* s (+ (* -1/64 (/ (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2)))) (- x 1/4))) (+ (* 1/3072 (/ 1 (pow (- x 1/4) 3))) (* 1/24 (+ (* 3/4 (/ 1 (pow (- x 1/4) 2))) (* 1/4 (/ 1 (pow (- x 1/4) 3))))))))) (* (pow (* 1 (- x 1/4)) 1/4) (+ (* -1/8 (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2))))) (* 1/128 (/ 1 (pow (- x 1/4) 2))))))))) (pow (* 1 (- x 1/4)) 1/4))
(- x 1/4)
(- (+ x (* 1/2 s)) 1/4)
(- (+ x (* s (+ 1/2 (* -1/4 s)))) 1/4)
(sqrt (- x 1/4))
(+ (sqrt (- x 1/4)) (* 1/4 (* s (sqrt (/ 1 (- x 1/4))))))
(+ (sqrt (- x 1/4)) (* s (+ (* -1/2 (* (* s (+ 1/4 (* 1/16 (/ 1 (- x 1/4))))) (sqrt (/ 1 (- x 1/4))))) (* 1/4 (sqrt (/ 1 (- x 1/4)))))))
(+ (sqrt (- x 1/4)) (* s (+ (* 1/4 (sqrt (/ 1 (- x 1/4)))) (* s (+ (* -1/2 (* (+ 1/4 (* 1/16 (/ 1 (- x 1/4)))) (sqrt (/ 1 (- x 1/4))))) (* 1/8 (* (* s (+ 1/4 (* 1/16 (/ 1 (- x 1/4))))) (sqrt (/ 1 (pow (- x 1/4) 3))))))))))
1/4
(+ 1/4 (* -1/2 s))
(+ 1/4 (* s (- (* 1/4 s) 1/2)))
(exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s))))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)) (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) (pow s 2))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)) (+ (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) (pow s 2)) (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (- (+ (* -1/16 (- (* -8 (- x 1/4)) 4)) (* 1/24 (- (* -48 (- x 1/4)) 16))) 1/48)) (pow s 3)))))
(* -1/4 (pow s 2))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/4))
(* (pow s 2) (- (+ (* 1/2 (/ 1 s)) (/ x (pow s 2))) (+ 1/4 (/ 1/4 (pow s 2)))))
(* s (sqrt -1/4))
(* s (+ (sqrt -1/4) (* 1/4 (/ 1 (* s (sqrt -1/4))))))
(* s (+ (sqrt -1/4) (+ (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 2) (sqrt -1/4)))) (/ 1/4 (* s (sqrt -1/4))))))
(* s (+ (sqrt -1/4) (+ (* -1/8 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 3) (pow (sqrt -1/4) 3)))) (+ (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 2) (sqrt -1/4)))) (/ 1/4 (* s (sqrt -1/4)))))))
(* 1/4 (pow s 2))
(* (pow s 2) (- 1/4 (* 1/2 (/ 1 s))))
(* (pow s 2) (- (+ 1/4 (/ 1/4 (pow s 2))) (* 1/2 (/ 1 s))))
(exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s))))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) s)) (* 1/2 (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/48 (+ (* 1/24 (+ 16 (* 48 (- x 1/4)))) (* 1/16 (- (* -8 (- x 1/4)) 4))))) s)) (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4))))) s)) (* 1/2 (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))))) s)))
(* (pow s 2) (- (* -1 (/ (- (* -1 (/ (- x 1/4) s)) 1/2) s)) 1/4))
(* -1 (* s (sqrt -1/4)))
(* -1 (* s (+ (sqrt -1/4) (* 1/4 (/ 1 (* s (sqrt -1/4)))))))
(* -1 (* s (+ (sqrt -1/4) (* -1 (/ (- (* -1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* s (sqrt -1/4)))) (* 1/4 (/ 1 (sqrt -1/4)))) s)))))
(* -1 (* s (+ (sqrt -1/4) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* s (pow (sqrt -1/4) 3)))) (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4)))) s)) (* 1/4 (/ 1 (sqrt -1/4)))) s)))))
(* (pow s 2) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 s))) s))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (- x (* (pow (- 1 s) 2) 1/4)) (sqrt (- x (* (pow (- 1 s) 2) 1/4))) (* (pow (- 1 s) 2) 1/4))
3.0ms	s	@	inf	((pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (- x (* (pow (- 1 s) 2) 1/4)) (sqrt (- x (* (pow (- 1 s) 2) 1/4))) (* (pow (- 1 s) 2) 1/4))
3.0ms	x	@	-inf	((pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (- x (* (pow (- 1 s) 2) 1/4)) (sqrt (- x (* (pow (- 1 s) 2) 1/4))) (* (pow (- 1 s) 2) 1/4))
2.0ms	s	@	0	((pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (- x (* (pow (- 1 s) 2) 1/4)) (sqrt (- x (* (pow (- 1 s) 2) 1/4))) (* (pow (- 1 s) 2) 1/4))
2.0ms	x	@	0	((pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (- x (* (pow (- 1 s) 2) 1/4)) (sqrt (- x (* (pow (- 1 s) 2) 1/4))) (* (pow (- 1 s) 2) 1/4))

simplify250.0ms (1%)

Memory

-213.5MiB live, 49.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	1816
1	1310	1682
2	4693	1486
0	8724	1412

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

Inputs
(* (pow -1/4 1/4) (sqrt (- 1 s)))
(+ (* -1 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 3)))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(+ (* x (+ (* -3/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 7)))))) (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(+ (* x (+ (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))) (* x (+ (* -7/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 11)))))) (* -3/2 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 7))))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(* -1/4 (pow (- 1 s) 2))
(- x (* 1/4 (pow (- 1 s) 2)))
(* (sqrt -1/4) (- 1 s))
(+ (* 1/2 (/ x (* (sqrt -1/4) (- 1 s)))) (* (sqrt -1/4) (- 1 s)))
(+ (* x (+ (* -1/8 (/ x (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(+ (* x (+ (* x (- (* 1/16 (/ x (* (pow (sqrt -1/4) 5) (pow (- 1 s) 5)))) (* 1/8 (/ 1 (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(pow (* 1 x) 1/4)
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (pow (* 1 x) 1/4))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) (pow (* 1 x) 1/4)))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) (+ (* (pow (/ 1 (pow x 11)) 1/4) (+ (* -1/768 (pow (- 1 s) 6)) (+ (* -1/24576 (pow (- 1 s) 6)) (* 1/2048 (pow (- 1 s) 6))))) (pow (* 1 x) 1/4))))
x
(* x (+ 1 (* -1/4 (/ (pow (- 1 s) 2) x))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2))) (* -1/128 (* (sqrt (/ 1 (pow x 5))) (pow (- 1 s) 4))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2))) (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (pow (- 1 s) 4))) (* -1/1024 (* (sqrt (/ 1 (pow x 7))) (pow (- 1 s) 6)))))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(+ (* -1/16 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2)))) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))))) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/2048 (pow (- 1 s) 6)) (+ (* 1/24576 (pow (- 1 s) 6)) (* 1/768 (pow (- 1 s) 6))))))) (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))))) x)) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(* -1 (* x (- (* 1/4 (/ (pow (- 1 s) 2) x)) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (* (pow (sqrt -1) 2) (pow (- 1 s) 4)))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (* (pow (sqrt -1) 2) (pow (- 1 s) 4)))) (+ (* 1/1024 (* (sqrt (/ 1 (pow x 7))) (* (pow (sqrt -1) 2) (pow (- 1 s) 6)))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(pow (* 1 (- x 1/4)) 1/4)
(+ (* 1/8 (* (pow (/ 1 (pow (- x 1/4) 3)) 1/4) s)) (pow (* 1 (- x 1/4)) 1/4))
(+ (* s (+ (* 1/8 (pow (/ 1 (pow (- x 1/4) 3)) 1/4)) (* (pow (* 1 (- x 1/4)) 1/4) (* s (+ (* -1/8 (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2))))) (* 1/128 (/ 1 (pow (- x 1/4) 2)))))))) (pow (* 1 (- x 1/4)) 1/4))
(+ (* s (+ (* 1/8 (pow (/ 1 (pow (- x 1/4) 3)) 1/4)) (* s (+ (* (pow (* 1 (- x 1/4)) 1/4) (* s (+ (* -1/64 (/ (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2)))) (- x 1/4))) (+ (* 1/3072 (/ 1 (pow (- x 1/4) 3))) (* 1/24 (+ (* 3/4 (/ 1 (pow (- x 1/4) 2))) (* 1/4 (/ 1 (pow (- x 1/4) 3))))))))) (* (pow (* 1 (- x 1/4)) 1/4) (+ (* -1/8 (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2))))) (* 1/128 (/ 1 (pow (- x 1/4) 2))))))))) (pow (* 1 (- x 1/4)) 1/4))
(- x 1/4)
(- (+ x (* 1/2 s)) 1/4)
(- (+ x (* s (+ 1/2 (* -1/4 s)))) 1/4)
(sqrt (- x 1/4))
(+ (sqrt (- x 1/4)) (* 1/4 (* s (sqrt (/ 1 (- x 1/4))))))
(+ (sqrt (- x 1/4)) (* s (+ (* -1/2 (* (* s (+ 1/4 (* 1/16 (/ 1 (- x 1/4))))) (sqrt (/ 1 (- x 1/4))))) (* 1/4 (sqrt (/ 1 (- x 1/4)))))))
(+ (sqrt (- x 1/4)) (* s (+ (* 1/4 (sqrt (/ 1 (- x 1/4)))) (* s (+ (* -1/2 (* (+ 1/4 (* 1/16 (/ 1 (- x 1/4)))) (sqrt (/ 1 (- x 1/4))))) (* 1/8 (* (* s (+ 1/4 (* 1/16 (/ 1 (- x 1/4))))) (sqrt (/ 1 (pow (- x 1/4) 3))))))))))
1/4
(+ 1/4 (* -1/2 s))
(+ 1/4 (* s (- (* 1/4 s) 1/2)))
(exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s))))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)) (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) (pow s 2))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)) (+ (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) (pow s 2)) (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (- (+ (* -1/16 (- (* -8 (- x 1/4)) 4)) (* 1/24 (- (* -48 (- x 1/4)) 16))) 1/48)) (pow s 3)))))
(* -1/4 (pow s 2))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/4))
(* (pow s 2) (- (+ (* 1/2 (/ 1 s)) (/ x (pow s 2))) (+ 1/4 (/ 1/4 (pow s 2)))))
(* s (sqrt -1/4))
(* s (+ (sqrt -1/4) (* 1/4 (/ 1 (* s (sqrt -1/4))))))
(* s (+ (sqrt -1/4) (+ (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 2) (sqrt -1/4)))) (/ 1/4 (* s (sqrt -1/4))))))
(* s (+ (sqrt -1/4) (+ (* -1/8 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 3) (pow (sqrt -1/4) 3)))) (+ (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 2) (sqrt -1/4)))) (/ 1/4 (* s (sqrt -1/4)))))))
(* 1/4 (pow s 2))
(* (pow s 2) (- 1/4 (* 1/2 (/ 1 s))))
(* (pow s 2) (- (+ 1/4 (/ 1/4 (pow s 2))) (* 1/2 (/ 1 s))))
(exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s))))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) s)) (* 1/2 (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/48 (+ (* 1/24 (+ 16 (* 48 (- x 1/4)))) (* 1/16 (- (* -8 (- x 1/4)) 4))))) s)) (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4))))) s)) (* 1/2 (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))))) s)))
(* (pow s 2) (- (* -1 (/ (- (* -1 (/ (- x 1/4) s)) 1/2) s)) 1/4))
(* -1 (* s (sqrt -1/4)))
(* -1 (* s (+ (sqrt -1/4) (* 1/4 (/ 1 (* s (sqrt -1/4)))))))
(* -1 (* s (+ (sqrt -1/4) (* -1 (/ (- (* -1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* s (sqrt -1/4)))) (* 1/4 (/ 1 (sqrt -1/4)))) s)))))
(* -1 (* s (+ (sqrt -1/4) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* s (pow (sqrt -1/4) 3)))) (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4)))) s)) (* 1/4 (/ 1 (sqrt -1/4)))) s)))))
(* (pow s 2) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 s))) s))))

Outputs
(* (pow -1/4 1/4) (sqrt (- 1 s)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) s)) (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
(+ (* -1 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 3)))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) s))))
(+ (* x (+ (* -3/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 7)))))) (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(fma.f64 (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal -3/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 7 binary64)))) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64))))))) x (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) s)) (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64))))
(+ (* x (+ (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))) (* x (+ (* -7/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 11)))))) (* -3/2 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 7))))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(fma.f64 (.f64 x x) (.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal -7/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 11 binary64)))) x) (.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 7 binary64))))))) (*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) s)))))
(* -1/4 (pow (- 1 s) 2))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(- x (* 1/4 (pow (- 1 s) 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal -1/4 binary64) x)
(* (sqrt -1/4) (- 1 s))
(*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (-.f64 #s(literal 1 binary64) s))
(+ (* 1/2 (/ x (* (sqrt -1/4) (- 1 s)))) (* (sqrt -1/4) (- 1 s)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) s)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (-.f64 #s(literal 1 binary64) s)))
(+ (* x (+ (* -1/8 (/ x (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) s))) x (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (-.f64 #s(literal 1 binary64) s)))
(+ (* x (+ (* x (- (* 1/16 (/ x (* (pow (sqrt -1/4) 5) (pow (- 1 s) 5)))) (* 1/8 (/ 1 (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 5 binary64))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) s))) x (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (-.f64 #s(literal 1 binary64) s)))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (pow (* 1 x) 1/4))
(fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) (pow (* 1 x) 1/4)))
(fma.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -3/512 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) (+ (* (pow (/ 1 (pow x 11)) 1/4) (+ (* -1/768 (pow (- 1 s) 6)) (+ (* -1/24576 (pow (- 1 s) 6)) (* 1/2048 (pow (- 1 s) 6))))) (pow (* 1 x) 1/4))))
(fma.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64)) #s(literal -7/8192 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal -3/512 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))
x
(* x (+ 1 (* -1/4 (/ (pow (- 1 s) 2) x))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1/4 binary64) #s(literal 1 binary64)) x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2))) (* -1/128 (* (sqrt (/ 1 (pow x 5))) (pow (- 1 s) 4))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) #s(literal -1/128 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2))) (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (pow (- 1 s) 4))) (* -1/1024 (* (sqrt (/ 1 (pow x 7))) (pow (- 1 s) 6)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) #s(literal -1/128 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
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(*.f64 (neg.f64 s) (-.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 x s) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) s)))
(* -1 (* s (+ (sqrt -1/4) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* s (pow (sqrt -1/4) 3)))) (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4)))) s)) (* 1/4 (/ 1 (sqrt -1/4)))) s)))))
(.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 x s) (.f64 (/.f64 x (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) s)) s)) s)
(* (pow s 2) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 s))) s))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) s)) s)) (.f64 s s))

rewrite169.0ms (0.7%)

Memory

-35.1MiB live, 44.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
0	18	37
1	69	37
2	410	37
3	4920	37
0	8798	34

Stop Event

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

Counts

4 → 247

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))
(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))

Outputs
(*.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 3/16 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (*.f64 x x))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x))))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (*.f64 x x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (.f64 x x)))))))
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x))))
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (.f64 x x))))))
(sqrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)))
(fabs.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) #s(literal 1/8 binary64) (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) #s(literal 1/8 binary64) (log.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/8 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) #s(literal 1/8 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (*.f64 x x))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x))
(.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))) x))))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (.f64 x x)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (.f64 x x))) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (.f64 x x))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (.f64 x x))) (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (.f64 x x))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
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(fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 s #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) s) s #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (fma.f64 s s s)))
(fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) (neg.f64 s) (.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) (neg.f64 s)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) s)) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) s)) #s(literal 1/4 binary64)) (.f64 (fma.f64 s s s) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) s)) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) s)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (fma.f64 s s s)))
(fma.f64 (fma.f64 (neg.f64 s) s #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 s s s) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 (neg.f64 s) s #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (fma.f64 s s s)))
(fma.f64 (neg.f64 s) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 s #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) s) s #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 s s s) #s(literal 1/4 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 s #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) s) s #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (fma.f64 s s s)))
(fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s) (*.f64 (fma.f64 s s s) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s) (*.f64 #s(literal 1/4 binary64) (fma.f64 s s s)))
(fma.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 1/4 binary64) (*.f64 (fma.f64 s s s) #s(literal 1/4 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 s s s)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) (.f64 (neg.f64 s) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))))
(exp.f64 (*.f64 (fma.f64 (log1p.f64 s) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 s) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))) (.f64 (neg.f64 s) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))))
(+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) (neg.f64 s)) (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) (neg.f64 s)))
(+.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) (.f64 (fma.f64 s s s) #s(literal 1/4 binary64)))
(+.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) (.f64 #s(literal 1/4 binary64) (fma.f64 s s s)))

eval42.0ms (0.2%)

Memory: 28.5MiB live, 28.5MiB allocated
Compiler: Compiled 8 860 to 1 441 computations (83.7% saved)

prune14.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	297	13	310
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	298	13	311

Accuracy

100.0%

Counts

311 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))
	98.5%	(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) #s(literal 4 binary64))
▶	99.8%	(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal -1/4 binary64))
	99.8%	(pow.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) s) (*.f64 (-.f64 #s(literal 1 binary64) s) #s(literal -1/4 binary64)) x)) #s(literal 1/2 binary64))
	97.2%	(pow.f64 (sqrt.f64 (-.f64 x (fma.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) (neg.f64 s))))) #s(literal 1/2 binary64))
▶	98.2%	(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 s s)) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64))))) #s(literal 1/2 binary64))
	99.7%	(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal -1 binary64))))) #s(literal 1/2 binary64))
	99.6%	(pow.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)) (sqrt.f64 (-.f64 #s(literal 1 binary64) s))) (sqrt.f64 (-.f64 #s(literal 1 binary64) s))))) #s(literal 1/2 binary64))
▶	92.0%	(pow.f64 (sqrt.f64 (-.f64 x #s(approx (* (pow (- 1 s) 2) 1/4) (fma.f64 (fma.f64 #s(literal 1/4 binary64) s #s(literal -1/2 binary64)) s #s(literal 1/4 binary64))))) #s(literal 1/2 binary64))
	85.6%	(pow.f64 (sqrt.f64 #s(approx (- x (* (pow (- 1 s) 2) 1/4)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64)) s (-.f64 x #s(literal 1/4 binary64))))) #s(literal 1/2 binary64))
	28.1%	(pow.f64 #s(approx (sqrt (- x (* (pow (- 1 s) 2) 1/4))) (sqrt.f64 x)) #s(literal 1/2 binary64))
	99.0%	(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
▶	28.1%	#s(approx (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (pow.f64 x #s(literal 1/4 binary64)))

Compiler

Compiled 422 to 350 computations (17.1% saved)

simplify146.0ms (0.6%)

Memory

-42.8MiB live, 35.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)
cost-diff	0	(pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1 binary64))
cost-diff	0	(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal -1/4 binary64))
cost-diff	1	(+.f64 #s(literal -1 binary64) (*.f64 s s))
cost-diff	1	(-.f64 x (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 s s)) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64))))
cost-diff	1	(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 s s)) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64))))) #s(literal 1/2 binary64))
cost-diff	6	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 s s)) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64)))
cost-diff	0	#s(approx (* (pow (- 1 s) 2) 1/4) (fma.f64 (fma.f64 #s(literal 1/4 binary64) s #s(literal -1/2 binary64)) s #s(literal 1/4 binary64)))
cost-diff	0	(-.f64 x #s(approx (* (pow (- 1 s) 2) 1/4) (fma.f64 (fma.f64 #s(literal 1/4 binary64) s #s(literal -1/2 binary64)) s #s(literal 1/4 binary64))))
cost-diff	0	(sqrt.f64 (-.f64 x #s(approx (* (pow (- 1 s) 2) 1/4) (fma.f64 (fma.f64 #s(literal 1/4 binary64) s #s(literal -1/2 binary64)) s #s(literal 1/4 binary64)))))
cost-diff	1	(pow.f64 (sqrt.f64 (-.f64 x #s(approx (* (pow (- 1 s) 2) 1/4) (fma.f64 (fma.f64 #s(literal 1/4 binary64) s #s(literal -1/2 binary64)) s #s(literal 1/4 binary64))))) #s(literal 1/2 binary64))
cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
cost-diff	0	#s(approx (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (pow.f64 x #s(literal 1/4 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) s)
cost-diff	0	(pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)
cost-diff	0	(pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	294
0	63	272
1	98	268
2	186	268
3	627	250
4	3033	250
5	6372	250
0	8081	246

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (0.4%)

Memory

36.8MiB live, 36.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) s)
accuracy	0.0625	(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal -1/4 binary64))
accuracy	0.19142997658471797	(fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)
accuracy	0.234375	(pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal -1 binary64))
accuracy	0.19142997658471797	(-.f64 x (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 s s)) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64))))
accuracy	0.296875	(.f64 (+.f64 #s(literal -1 binary64) (.f64 s s)) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s)))
accuracy	0.3203125	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 s s)) (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) s))) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64)))
accuracy	4.735507376350315	(+.f64 #s(literal -1 binary64) (*.f64 s s))
accuracy	0.09765625	(sqrt.f64 (-.f64 x #s(approx (* (pow (- 1 s) 2) 1/4) (fma.f64 (fma.f64 #s(literal 1/4 binary64) s #s(literal -1/2 binary64)) s #s(literal 1/4 binary64)))))
accuracy	0.12890625	(pow.f64 (sqrt.f64 (-.f64 x #s(approx (* (pow (- 1 s) 2) 1/4) (fma.f64 (fma.f64 #s(literal 1/4 binary64) s #s(literal -1/2 binary64)) s #s(literal 1/4 binary64))))) #s(literal 1/2 binary64))
accuracy	0.19142997658471797	(-.f64 x #s(approx (* (pow (- 1 s) 2) 1/4) (fma.f64 (fma.f64 #s(literal 1/4 binary64) s #s(literal -1/2 binary64)) s #s(literal 1/4 binary64))))
accuracy	8.106365254751767	(fma.f64 (fma.f64 #s(literal 1/4 binary64) s #s(literal -1/2 binary64)) s #s(literal 1/4 binary64))
accuracy	0.0	(pow.f64 x #s(literal 1/4 binary64))
accuracy	46.02424959654577	#s(approx (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (pow.f64 x #s(literal 1/4 binary64)))
accuracy	0.0	(pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))
accuracy	0.0	(-.f64 #s(literal 1 binary64) s)
accuracy	0.0546875	(pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))
accuracy	0.19142997658471797	(fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)

Samples

75.0ms

256×

valid

Compiler

Compiled 273 to 37 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-pow: 19.0ms (34.9% of total)

ival-mult: 13.0ms (23.9% of total)

ival-sqrt: 7.0ms (12.9% of total)

ival-add: 6.0ms (11% of total)

ival-sub: 4.0ms (7.4% of total)

ival-pow2: 3.0ms (5.5% of total)

ival-div: 2.0ms (3.7% of total)

exact: 1.0ms (1.8% of total)

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

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

series68.0ms (0.3%)

Memory

28.9MiB live, 28.9MiB allocated

Counts

18 → 132

Calls

Call 1

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

Outputs
(* (pow -1/4 1/4) (sqrt (- 1 s)))
(+ (* -1 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 3)))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(+ (* x (+ (* -3/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 7)))))) (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(+ (* x (+ (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))) (* x (+ (* -7/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 11)))))) (* -3/2 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 7))))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(* -1/4 (pow (- 1 s) 2))
(+ x (* -1/4 (pow (- 1 s) 2)))
(pow (* 1 x) 1/4)
(* (sqrt -1/4) (- 1 s))
(+ (* 1/2 (/ x (* (sqrt -1/4) (- 1 s)))) (* (sqrt -1/4) (- 1 s)))
(+ (* x (+ (* -1/8 (/ x (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(+ (* x (+ (* x (- (* 1/16 (/ x (* (pow (sqrt -1/4) 5) (pow (- 1 s) 5)))) (* 1/8 (/ 1 (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(- x (* 1/4 (pow (- 1 s) 2)))
(pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4)
(+ (* -1 (* (pow (/ (* -1/4 (pow (- (* -1 s) 1) 3)) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3))) 1/4) x)) (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4))
(+ (* x (+ (* -1 (pow (/ (* -1/4 (pow (- (* -1 s) 1) 3)) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3))) 1/4)) (* (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4) (* x (+ (* -2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)))) (* 1/2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2))))))))) (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4))
(+ (* x (+ (* -1 (pow (/ (* -1/4 (pow (- (* -1 s) 1) 3)) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3))) 1/4)) (* x (+ (* (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4) (* x (+ (* -16/3 (/ (pow (- (* -1 s) 1) 3) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)))) (+ (* -1/6 (/ (pow (- (* -1 s) 1) 3) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)))) (* 2 (/ (pow (- (* -1 s) 1) 3) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)))))))) (* (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4) (+ (* -2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)))) (* 1/2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)))))))))) (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4))
(* -1/4 (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))
(- x (* 1/4 (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1))))
(/ -4 (pow (- 1 s) 2))
(- (* -16 (/ x (pow (- 1 s) 4))) (* 4 (/ 1 (pow (- 1 s) 2))))
(- (* x (- (* -64 (/ x (pow (- 1 s) 6))) (* 16 (/ 1 (pow (- 1 s) 4))))) (* 4 (/ 1 (pow (- 1 s) 2))))
(- (* x (- (* x (- (* -256 (/ x (pow (- 1 s) 8))) (* 64 (/ 1 (pow (- 1 s) 6))))) (* 16 (/ 1 (pow (- 1 s) 4))))) (* 4 (/ 1 (pow (- 1 s) 2))))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (pow (* 1 x) 1/4))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) (pow (* 1 x) 1/4)))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) (+ (* (pow (/ 1 (pow x 11)) 1/4) (+ (* -1/768 (pow (- 1 s) 6)) (+ (* -1/24576 (pow (- 1 s) 6)) (* 1/2048 (pow (- 1 s) 6))))) (pow (* 1 x) 1/4))))
x
(* x (+ 1 (* -1/4 (/ (pow (- 1 s) 2) x))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2))) (* -1/128 (* (sqrt (/ 1 (pow x 5))) (pow (- 1 s) 4))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2))) (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (pow (- 1 s) 4))) (* -1/1024 (* (sqrt (/ 1 (pow x 7))) (pow (- 1 s) 6)))))))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))) (pow (* 1 x) 1/4))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))) (* 1/512 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))))) (pow (* 1 x) 1/4)))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))) (* 1/512 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))))) (+ (* (pow (/ 1 (pow x 11)) 1/4) (+ (* -1/768 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3))) (+ (* -1/24576 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3))) (* 1/2048 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3)))))) (pow (* 1 x) 1/4))))
(* x (+ 1 (* -1/4 (/ (* (- 1 s) (- (pow s 2) 1)) (* x (- (* -1 s) 1))))))
(/ 1 x)
(/ (+ 1 (* 1/4 (/ (pow (- 1 s) 2) x))) x)
(/ (- (+ 1 (* 1/16 (/ (pow (- 1 s) 4) (pow x 2)))) (* -1/4 (/ (pow (- 1 s) 2) x))) x)
(/ (- (+ 1 (* 1/64 (/ (pow (- 1 s) 6) (pow x 3)))) (+ (* -1/4 (/ (pow (- 1 s) 2) x)) (* -1/16 (/ (pow (- 1 s) 4) (pow x 2))))) x)
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1/16 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (- 1 s) 2)) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) x)) (* 1/16 (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (- 1 s) 2)))) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2048 (pow (- 1 s) 6)) (+ (* 1/24576 (pow (- 1 s) 6)) (* 1/768 (pow (- 1 s) 6))))) x)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4))))) x)) (* 1/16 (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (- 1 s) 2)))) x)))
(* -1 (* x (- (* 1/4 (/ (pow (- 1 s) 2) x)) 1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(+ (* -1/16 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2)))) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))))) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/2048 (pow (- 1 s) 6)) (+ (* 1/24576 (pow (- 1 s) 6)) (* 1/768 (pow (- 1 s) 6))))))) (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))))) x)) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (* (pow (sqrt -1) 2) (pow (- 1 s) 4)))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (* (pow (sqrt -1) 2) (pow (- 1 s) 4)))) (+ (* 1/1024 (* (sqrt (/ 1 (pow x 7))) (* (pow (sqrt -1) 2) (pow (- 1 s) 6)))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1/16 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1))))) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))) (* 1/512 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))))))) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/2048 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3))) (+ (* 1/24576 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3))) (* 1/768 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3)))))))) (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))) (* 1/512 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))))))) x)) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(* -1 (* x (- (* 1/4 (/ (* (- 1 s) (- (pow s 2) 1)) (* x (- (* -1 s) 1)))) 1)))
(* -1 (/ (- (* -1/4 (/ (pow (- 1 s) 2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (- 1 s) 4) x)) (* -1/4 (pow (- 1 s) 2))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/64 (/ (pow (- 1 s) 6) x)) (* 1/16 (pow (- 1 s) 4))) x)) (* -1/4 (pow (- 1 s) 2))) x)) 1) x))
(pow (* 1 (- x 1/4)) 1/4)
(+ (* 1/8 (* (pow (/ 1 (pow (- x 1/4) 3)) 1/4) s)) (pow (* 1 (- x 1/4)) 1/4))
(+ (* s (+ (* 1/8 (pow (/ 1 (pow (- x 1/4) 3)) 1/4)) (* (pow (* 1 (- x 1/4)) 1/4) (* s (+ (* -1/8 (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2))))) (* 1/128 (/ 1 (pow (- x 1/4) 2)))))))) (pow (* 1 (- x 1/4)) 1/4))
(+ (* s (+ (* 1/8 (pow (/ 1 (pow (- x 1/4) 3)) 1/4)) (* s (+ (* (pow (* 1 (- x 1/4)) 1/4) (* s (+ (* -1/64 (/ (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2)))) (- x 1/4))) (+ (* 1/3072 (/ 1 (pow (- x 1/4) 3))) (* 1/24 (+ (* 3/4 (/ 1 (pow (- x 1/4) 2))) (* 1/4 (/ 1 (pow (- x 1/4) 3))))))))) (* (pow (* 1 (- x 1/4)) 1/4) (+ (* -1/8 (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2))))) (* 1/128 (/ 1 (pow (- x 1/4) 2))))))))) (pow (* 1 (- x 1/4)) 1/4))
(- x 1/4)
(- (+ x (* 1/2 s)) 1/4)
(- (+ x (* s (+ 1/2 (* -1/4 s)))) 1/4)
1
(+ 1 (* -2 s))
(+ 1 (* s (- s 2)))
(+ 1 (* -1 s))
(sqrt (- x 1/4))
(+ (sqrt (- x 1/4)) (* 1/4 (* s (sqrt (/ 1 (- x 1/4))))))
(+ (sqrt (- x 1/4)) (* s (+ (* -1/2 (* (* s (+ 1/4 (* 1/16 (/ 1 (- x 1/4))))) (sqrt (/ 1 (- x 1/4))))) (* 1/4 (sqrt (/ 1 (- x 1/4)))))))
(+ (sqrt (- x 1/4)) (* s (+ (* 1/4 (sqrt (/ 1 (- x 1/4)))) (* s (+ (* -1/2 (* (+ 1/4 (* 1/16 (/ 1 (- x 1/4)))) (sqrt (/ 1 (- x 1/4))))) (* 1/8 (* (* s (+ 1/4 (* 1/16 (/ 1 (- x 1/4))))) (sqrt (/ 1 (pow (- x 1/4) 3))))))))))
1/4
(+ 1/4 (* -1/2 s))
(+ 1/4 (* s (- (* 1/4 s) 1/2)))
-1
(- (pow s 2) 1)
(/ 1 (- x 1/4))
(+ (* -1/2 (/ s (pow (- x 1/4) 2))) (/ 1 (- x 1/4)))
(+ (* s (- (* s (+ (* 1/4 (/ 1 (pow (- x 1/4) 2))) (* 1/4 (/ 1 (pow (- x 1/4) 3))))) (* 1/2 (/ 1 (pow (- x 1/4) 2))))) (/ 1 (- x 1/4)))
(+ (* s (- (* s (+ (* -1 (* s (+ (* 1/8 (/ 1 (pow (- x 1/4) 3))) (* 1/2 (/ (+ (* 1/4 (/ 1 (pow (- x 1/4) 2))) (* 1/4 (/ 1 (pow (- x 1/4) 3)))) (- x 1/4)))))) (+ (* 1/4 (/ 1 (pow (- x 1/4) 2))) (* 1/4 (/ 1 (pow (- x 1/4) 3)))))) (* 1/2 (/ 1 (pow (- x 1/4) 2))))) (/ 1 (- x 1/4)))
-1/4
(- (* 1/4 s) 1/4)
(- (* s (+ 1/4 (* 1/4 s))) 1/4)
(- (* s (+ 1/4 (* s (+ 1/4 (* -1/4 s))))) 1/4)
(exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s))))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)) (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) (pow s 2))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)) (+ (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) (pow s 2)) (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (- (+ (* -1/16 (- (* -8 (- x 1/4)) 4)) (* 1/24 (- (* -48 (- x 1/4)) 16))) 1/48)) (pow s 3)))))
(* -1/4 (pow s 2))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/4))
(* (pow s 2) (- (+ (* 1/2 (/ 1 s)) (/ x (pow s 2))) (+ 1/4 (/ 1/4 (pow s 2)))))
(pow s 2)
(* (pow s 2) (- 1 (* 2 (/ 1 s))))
(* (pow s 2) (- (+ 1 (/ 1 (pow s 2))) (* 2 (/ 1 s))))
(* -1 s)
(* s (- (/ 1 s) 1))
(* s (sqrt -1/4))
(* s (+ (sqrt -1/4) (* 1/4 (/ 1 (* s (sqrt -1/4))))))
(* s (+ (sqrt -1/4) (+ (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 2) (sqrt -1/4)))) (/ 1/4 (* s (sqrt -1/4))))))
(* s (+ (sqrt -1/4) (+ (* -1/8 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 3) (pow (sqrt -1/4) 3)))) (+ (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 2) (sqrt -1/4)))) (/ 1/4 (* s (sqrt -1/4)))))))
(* 1/4 (pow s 2))
(* (pow s 2) (- 1/4 (* 1/2 (/ 1 s))))
(* (pow s 2) (- (+ 1/4 (/ 1/4 (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow s 2) (- 1 (/ 1 (pow s 2))))
(/ -4 (pow s 2))
(* -1 (/ (+ 4 (* 8 (/ 1 s))) (pow s 2)))
(/ (- (* -1 (/ (+ 16 (* 16 (- x 1/4))) (pow s 2))) (+ 4 (* 8 (/ 1 s)))) (pow s 2))
(/ (- (* -1 (/ (+ (* 2 (+ 16 (* 16 (- x 1/4)))) (* 32 (- x 1/4))) (pow s 3))) (+ 4 (+ (* 16 (/ (- x 1/4) (pow s 2))) (+ (* 8 (/ 1 s)) (/ 16 (pow s 2)))))) (pow s 2))
(* -1/4 (pow s 3))
(* (pow s 3) (- (* 1/4 (/ 1 s)) 1/4))
(* (pow s 3) (- (+ (/ 1/4 (pow s 2)) (* 1/4 (/ 1 s))) 1/4))
(* (pow s 3) (- (+ (/ 1/4 (pow s 2)) (* 1/4 (/ 1 s))) (+ 1/4 (* 1/4 (/ 1 (pow s 3))))))
(exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s))))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) s)) (* 1/2 (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/48 (+ (* 1/24 (+ 16 (* 48 (- x 1/4)))) (* 1/16 (- (* -8 (- x 1/4)) 4))))) s)) (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4))))) s)) (* 1/2 (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))))) s)))
(* (pow s 2) (- (* -1 (/ (- (* -1 (/ (- x 1/4) s)) 1/2) s)) 1/4))
(* (pow s 2) (+ 1 (* -1 (/ (- 2 (/ 1 s)) s))))
(* -1 (* s (- 1 (/ 1 s))))
(* -1 (* s (sqrt -1/4)))
(* -1 (* s (+ (sqrt -1/4) (* 1/4 (/ 1 (* s (sqrt -1/4)))))))
(* -1 (* s (+ (sqrt -1/4) (* -1 (/ (- (* -1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* s (sqrt -1/4)))) (* 1/4 (/ 1 (sqrt -1/4)))) s)))))
(* -1 (* s (+ (sqrt -1/4) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* s (pow (sqrt -1/4) 3)))) (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4)))) s)) (* 1/4 (/ 1 (sqrt -1/4)))) s)))))
(* (pow s 2) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 s))) s))))
(/ (- (* -1 (/ (+ 8 (+ (* 16 (/ (- x 1/4) s)) (* 16 (/ 1 s)))) s)) 4) (pow s 2))
(/ (- (* -1 (/ (+ 8 (* -1 (/ (- (+ (* -32 (/ (- x 1/4) s)) (* -2 (/ (+ 16 (* 16 (- x 1/4))) s))) (+ 16 (* 16 (- x 1/4)))) s))) s)) 4) (pow s 2))
(* -1 (* (pow s 3) (- 1/4 (* 1/4 (/ 1 s)))))
(* -1 (* (pow s 3) (+ 1/4 (* -1 (/ (+ 1/4 (* 1/4 (/ 1 s))) s)))))
(* -1 (* (pow s 3) (+ 1/4 (* -1 (/ (+ 1/4 (* -1 (/ (- (* 1/4 (/ 1 s)) 1/4) s))) s)))))

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	((pow (+ (* -1/4 (pow (- 1 s) 2)) x) 1/4) (+ (* -1/4 (pow (- 1 s) 2)) x) (pow (- 1 s) 2) (- 1 s) (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (pow x 1/4) (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (sqrt (- x (* (pow (- 1 s) 2) 1/4))) (- x (* (pow (- 1 s) 2) 1/4)) (* (pow (- 1 s) 2) 1/4) (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1)) (pow (sqrt (- x (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1)))) 1/2) (- x (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1))) (+ -1 (* s s)) (pow (pow (+ (* -1/4 (pow (- 1 s) 2)) x) -1) -1/4) (pow (+ (* -1/4 (pow (- 1 s) 2)) x) -1) (+ (* (+ (* 1/4 s) -1/2) s) 1/4) (* (+ -1 (* s s)) (* 1/4 (- 1 s))))
16.0ms	x	@	inf	((pow (+ (* -1/4 (pow (- 1 s) 2)) x) 1/4) (+ (* -1/4 (pow (- 1 s) 2)) x) (pow (- 1 s) 2) (- 1 s) (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (pow x 1/4) (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (sqrt (- x (* (pow (- 1 s) 2) 1/4))) (- x (* (pow (- 1 s) 2) 1/4)) (* (pow (- 1 s) 2) 1/4) (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1)) (pow (sqrt (- x (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1)))) 1/2) (- x (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1))) (+ -1 (* s s)) (pow (pow (+ (* -1/4 (pow (- 1 s) 2)) x) -1) -1/4) (pow (+ (* -1/4 (pow (- 1 s) 2)) x) -1) (+ (* (+ (* 1/4 s) -1/2) s) 1/4) (* (+ -1 (* s s)) (* 1/4 (- 1 s))))
15.0ms	x	@	-inf	((pow (+ (* -1/4 (pow (- 1 s) 2)) x) 1/4) (+ (* -1/4 (pow (- 1 s) 2)) x) (pow (- 1 s) 2) (- 1 s) (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (pow x 1/4) (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (sqrt (- x (* (pow (- 1 s) 2) 1/4))) (- x (* (pow (- 1 s) 2) 1/4)) (* (pow (- 1 s) 2) 1/4) (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1)) (pow (sqrt (- x (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1)))) 1/2) (- x (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1))) (+ -1 (* s s)) (pow (pow (+ (* -1/4 (pow (- 1 s) 2)) x) -1) -1/4) (pow (+ (* -1/4 (pow (- 1 s) 2)) x) -1) (+ (* (+ (* 1/4 s) -1/2) s) 1/4) (* (+ -1 (* s s)) (* 1/4 (- 1 s))))
2.0ms	s	@	inf	((pow (+ (* -1/4 (pow (- 1 s) 2)) x) 1/4) (+ (* -1/4 (pow (- 1 s) 2)) x) (pow (- 1 s) 2) (- 1 s) (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (pow x 1/4) (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (sqrt (- x (* (pow (- 1 s) 2) 1/4))) (- x (* (pow (- 1 s) 2) 1/4)) (* (pow (- 1 s) 2) 1/4) (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1)) (pow (sqrt (- x (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1)))) 1/2) (- x (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1))) (+ -1 (* s s)) (pow (pow (+ (* -1/4 (pow (- 1 s) 2)) x) -1) -1/4) (pow (+ (* -1/4 (pow (- 1 s) 2)) x) -1) (+ (* (+ (* 1/4 s) -1/2) s) 1/4) (* (+ -1 (* s s)) (* 1/4 (- 1 s))))
2.0ms	s	@	0	((pow (+ (* -1/4 (pow (- 1 s) 2)) x) 1/4) (+ (* -1/4 (pow (- 1 s) 2)) x) (pow (- 1 s) 2) (- 1 s) (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (pow x 1/4) (pow (sqrt (- x (* (pow (- 1 s) 2) 1/4))) 1/2) (sqrt (- x (* (pow (- 1 s) 2) 1/4))) (- x (* (pow (- 1 s) 2) 1/4)) (* (pow (- 1 s) 2) 1/4) (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1)) (pow (sqrt (- x (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1)))) 1/2) (- x (/ (* (+ -1 (* s s)) (* 1/4 (- 1 s))) (+ (* -1 s) -1))) (+ -1 (* s s)) (pow (pow (+ (* -1/4 (pow (- 1 s) 2)) x) -1) -1/4) (pow (+ (* -1/4 (pow (- 1 s) 2)) x) -1) (+ (* (+ (* 1/4 s) -1/2) s) 1/4) (* (+ -1 (* s s)) (* 1/4 (- 1 s))))

simplify188.0ms (0.8%)

Memory

-22.9MiB live, 52.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	781	3551
1	2371	3298
0	8549	3123

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 131

Calls

Call 1

Inputs
(* (pow -1/4 1/4) (sqrt (- 1 s)))
(+ (* -1 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 3)))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(+ (* x (+ (* -3/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 7)))))) (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(+ (* x (+ (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))) (* x (+ (* -7/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 11)))))) (* -3/2 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 7))))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(* -1/4 (pow (- 1 s) 2))
(+ x (* -1/4 (pow (- 1 s) 2)))
(pow (* 1 x) 1/4)
(* (sqrt -1/4) (- 1 s))
(+ (* 1/2 (/ x (* (sqrt -1/4) (- 1 s)))) (* (sqrt -1/4) (- 1 s)))
(+ (* x (+ (* -1/8 (/ x (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(+ (* x (+ (* x (- (* 1/16 (/ x (* (pow (sqrt -1/4) 5) (pow (- 1 s) 5)))) (* 1/8 (/ 1 (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(- x (* 1/4 (pow (- 1 s) 2)))
(pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4)
(+ (* -1 (* (pow (/ (* -1/4 (pow (- (* -1 s) 1) 3)) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3))) 1/4) x)) (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4))
(+ (* x (+ (* -1 (pow (/ (* -1/4 (pow (- (* -1 s) 1) 3)) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3))) 1/4)) (* (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4) (* x (+ (* -2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)))) (* 1/2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2))))))))) (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4))
(+ (* x (+ (* -1 (pow (/ (* -1/4 (pow (- (* -1 s) 1) 3)) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3))) 1/4)) (* x (+ (* (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4) (* x (+ (* -16/3 (/ (pow (- (* -1 s) 1) 3) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)))) (+ (* -1/6 (/ (pow (- (* -1 s) 1) 3) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)))) (* 2 (/ (pow (- (* -1 s) 1) 3) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)))))))) (* (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4) (+ (* -2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)))) (* 1/2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)))))))))) (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4))
(* -1/4 (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))
(- x (* 1/4 (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1))))
(/ -4 (pow (- 1 s) 2))
(- (* -16 (/ x (pow (- 1 s) 4))) (* 4 (/ 1 (pow (- 1 s) 2))))
(- (* x (- (* -64 (/ x (pow (- 1 s) 6))) (* 16 (/ 1 (pow (- 1 s) 4))))) (* 4 (/ 1 (pow (- 1 s) 2))))
(- (* x (- (* x (- (* -256 (/ x (pow (- 1 s) 8))) (* 64 (/ 1 (pow (- 1 s) 6))))) (* 16 (/ 1 (pow (- 1 s) 4))))) (* 4 (/ 1 (pow (- 1 s) 2))))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (pow (* 1 x) 1/4))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) (pow (* 1 x) 1/4)))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (pow (- 1 s) 2))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) (+ (* (pow (/ 1 (pow x 11)) 1/4) (+ (* -1/768 (pow (- 1 s) 6)) (+ (* -1/24576 (pow (- 1 s) 6)) (* 1/2048 (pow (- 1 s) 6))))) (pow (* 1 x) 1/4))))
x
(* x (+ 1 (* -1/4 (/ (pow (- 1 s) 2) x))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2))) (* -1/128 (* (sqrt (/ 1 (pow x 5))) (pow (- 1 s) 4))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 s) 2))) (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (pow (- 1 s) 4))) (* -1/1024 (* (sqrt (/ 1 (pow x 7))) (pow (- 1 s) 6)))))))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))) (pow (* 1 x) 1/4))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))) (* 1/512 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))))) (pow (* 1 x) 1/4)))
(+ (* -1/16 (* (pow (/ 1 (pow x 3)) 1/4) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/128 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))) (* 1/512 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))))) (+ (* (pow (/ 1 (pow x 11)) 1/4) (+ (* -1/768 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3))) (+ (* -1/24576 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3))) (* 1/2048 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3)))))) (pow (* 1 x) 1/4))))
(* x (+ 1 (* -1/4 (/ (* (- 1 s) (- (pow s 2) 1)) (* x (- (* -1 s) 1))))))
(/ 1 x)
(/ (+ 1 (* 1/4 (/ (pow (- 1 s) 2) x))) x)
(/ (- (+ 1 (* 1/16 (/ (pow (- 1 s) 4) (pow x 2)))) (* -1/4 (/ (pow (- 1 s) 2) x))) x)
(/ (- (+ 1 (* 1/64 (/ (pow (- 1 s) 6) (pow x 3)))) (+ (* -1/4 (/ (pow (- 1 s) 2) x)) (* -1/16 (/ (pow (- 1 s) 4) (pow x 2))))) x)
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1/16 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (- 1 s) 2)) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))) x)) (* 1/16 (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (- 1 s) 2)))) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2048 (pow (- 1 s) 6)) (+ (* 1/24576 (pow (- 1 s) 6)) (* 1/768 (pow (- 1 s) 6))))) x)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4))))) x)) (* 1/16 (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (- 1 s) 2)))) x)))
(* -1 (* x (- (* 1/4 (/ (pow (- 1 s) 2) x)) 1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(+ (* -1/16 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2)))) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))))) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/2048 (pow (- 1 s) 6)) (+ (* 1/24576 (pow (- 1 s) 6)) (* 1/768 (pow (- 1 s) 6))))))) (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (pow (- 1 s) 4)) (* 1/512 (pow (- 1 s) 4)))))) x)) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (pow (- 1 s) 2))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (* (pow (sqrt -1) 2) (pow (- 1 s) 4)))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/128 (* (sqrt (/ 1 (pow x 5))) (* (pow (sqrt -1) 2) (pow (- 1 s) 4)))) (+ (* 1/1024 (* (sqrt (/ 1 (pow x 7))) (* (pow (sqrt -1) 2) (pow (- 1 s) 6)))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (- 1 s) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1/16 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1))))) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))) (* 1/512 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))))))) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/2048 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3))) (+ (* 1/24576 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3))) (* 1/768 (/ (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)) (pow (- (* -1 s) 1) 3)))))))) (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (+ (* -1/128 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))) (* 1/512 (/ (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)) (pow (- (* -1 s) 1) 2))))))) x)) (* 1/16 (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))))) x)) (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))
(* -1 (* x (- (* 1/4 (/ (* (- 1 s) (- (pow s 2) 1)) (* x (- (* -1 s) 1)))) 1)))
(* -1 (/ (- (* -1/4 (/ (pow (- 1 s) 2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (- 1 s) 4) x)) (* -1/4 (pow (- 1 s) 2))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/64 (/ (pow (- 1 s) 6) x)) (* 1/16 (pow (- 1 s) 4))) x)) (* -1/4 (pow (- 1 s) 2))) x)) 1) x))
(pow (* 1 (- x 1/4)) 1/4)
(+ (* 1/8 (* (pow (/ 1 (pow (- x 1/4) 3)) 1/4) s)) (pow (* 1 (- x 1/4)) 1/4))
(+ (* s (+ (* 1/8 (pow (/ 1 (pow (- x 1/4) 3)) 1/4)) (* (pow (* 1 (- x 1/4)) 1/4) (* s (+ (* -1/8 (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2))))) (* 1/128 (/ 1 (pow (- x 1/4) 2)))))))) (pow (* 1 (- x 1/4)) 1/4))
(+ (* s (+ (* 1/8 (pow (/ 1 (pow (- x 1/4) 3)) 1/4)) (* s (+ (* (pow (* 1 (- x 1/4)) 1/4) (* s (+ (* -1/64 (/ (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2)))) (- x 1/4))) (+ (* 1/3072 (/ 1 (pow (- x 1/4) 3))) (* 1/24 (+ (* 3/4 (/ 1 (pow (- x 1/4) 2))) (* 1/4 (/ 1 (pow (- x 1/4) 3))))))))) (* (pow (* 1 (- x 1/4)) 1/4) (+ (* -1/8 (+ (* 1/2 (/ 1 (- x 1/4))) (* 1/4 (/ 1 (pow (- x 1/4) 2))))) (* 1/128 (/ 1 (pow (- x 1/4) 2))))))))) (pow (* 1 (- x 1/4)) 1/4))
(- x 1/4)
(- (+ x (* 1/2 s)) 1/4)
(- (+ x (* s (+ 1/2 (* -1/4 s)))) 1/4)
1
(+ 1 (* -2 s))
(+ 1 (* s (- s 2)))
(+ 1 (* -1 s))
(sqrt (- x 1/4))
(+ (sqrt (- x 1/4)) (* 1/4 (* s (sqrt (/ 1 (- x 1/4))))))
(+ (sqrt (- x 1/4)) (* s (+ (* -1/2 (* (* s (+ 1/4 (* 1/16 (/ 1 (- x 1/4))))) (sqrt (/ 1 (- x 1/4))))) (* 1/4 (sqrt (/ 1 (- x 1/4)))))))
(+ (sqrt (- x 1/4)) (* s (+ (* 1/4 (sqrt (/ 1 (- x 1/4)))) (* s (+ (* -1/2 (* (+ 1/4 (* 1/16 (/ 1 (- x 1/4)))) (sqrt (/ 1 (- x 1/4))))) (* 1/8 (* (* s (+ 1/4 (* 1/16 (/ 1 (- x 1/4))))) (sqrt (/ 1 (pow (- x 1/4) 3))))))))))
1/4
(+ 1/4 (* -1/2 s))
(+ 1/4 (* s (- (* 1/4 s) 1/2)))
-1
(- (pow s 2) 1)
(/ 1 (- x 1/4))
(+ (* -1/2 (/ s (pow (- x 1/4) 2))) (/ 1 (- x 1/4)))
(+ (* s (- (* s (+ (* 1/4 (/ 1 (pow (- x 1/4) 2))) (* 1/4 (/ 1 (pow (- x 1/4) 3))))) (* 1/2 (/ 1 (pow (- x 1/4) 2))))) (/ 1 (- x 1/4)))
(+ (* s (- (* s (+ (* -1 (* s (+ (* 1/8 (/ 1 (pow (- x 1/4) 3))) (* 1/2 (/ (+ (* 1/4 (/ 1 (pow (- x 1/4) 2))) (* 1/4 (/ 1 (pow (- x 1/4) 3)))) (- x 1/4)))))) (+ (* 1/4 (/ 1 (pow (- x 1/4) 2))) (* 1/4 (/ 1 (pow (- x 1/4) 3)))))) (* 1/2 (/ 1 (pow (- x 1/4) 2))))) (/ 1 (- x 1/4)))
-1/4
(- (* 1/4 s) 1/4)
(- (* s (+ 1/4 (* 1/4 s))) 1/4)
(- (* s (+ 1/4 (* s (+ 1/4 (* -1/4 s))))) 1/4)
(exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s))))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)) (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) (pow s 2))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) s)) (+ (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) (pow s 2)) (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ 1 s)))))) (- (+ (* -1/16 (- (* -8 (- x 1/4)) 4)) (* 1/24 (- (* -48 (- x 1/4)) 16))) 1/48)) (pow s 3)))))
(* -1/4 (pow s 2))
(* (pow s 2) (- (* 1/2 (/ 1 s)) 1/4))
(* (pow s 2) (- (+ (* 1/2 (/ 1 s)) (/ x (pow s 2))) (+ 1/4 (/ 1/4 (pow s 2)))))
(pow s 2)
(* (pow s 2) (- 1 (* 2 (/ 1 s))))
(* (pow s 2) (- (+ 1 (/ 1 (pow s 2))) (* 2 (/ 1 s))))
(* -1 s)
(* s (- (/ 1 s) 1))
(* s (sqrt -1/4))
(* s (+ (sqrt -1/4) (* 1/4 (/ 1 (* s (sqrt -1/4))))))
(* s (+ (sqrt -1/4) (+ (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 2) (sqrt -1/4)))) (/ 1/4 (* s (sqrt -1/4))))))
(* s (+ (sqrt -1/4) (+ (* -1/8 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 3) (pow (sqrt -1/4) 3)))) (+ (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 2) (sqrt -1/4)))) (/ 1/4 (* s (sqrt -1/4)))))))
(* 1/4 (pow s 2))
(* (pow s 2) (- 1/4 (* 1/2 (/ 1 s))))
(* (pow s 2) (- (+ 1/4 (/ 1/4 (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow s 2) (- 1 (/ 1 (pow s 2))))
(/ -4 (pow s 2))
(* -1 (/ (+ 4 (* 8 (/ 1 s))) (pow s 2)))
(/ (- (* -1 (/ (+ 16 (* 16 (- x 1/4))) (pow s 2))) (+ 4 (* 8 (/ 1 s)))) (pow s 2))
(/ (- (* -1 (/ (+ (* 2 (+ 16 (* 16 (- x 1/4)))) (* 32 (- x 1/4))) (pow s 3))) (+ 4 (+ (* 16 (/ (- x 1/4) (pow s 2))) (+ (* 8 (/ 1 s)) (/ 16 (pow s 2)))))) (pow s 2))
(* -1/4 (pow s 3))
(* (pow s 3) (- (* 1/4 (/ 1 s)) 1/4))
(* (pow s 3) (- (+ (/ 1/4 (pow s 2)) (* 1/4 (/ 1 s))) 1/4))
(* (pow s 3) (- (+ (/ 1/4 (pow s 2)) (* 1/4 (/ 1 s))) (+ 1/4 (* 1/4 (/ 1 (pow s 3))))))
(exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s))))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) s)) (* 1/2 (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))))) s)))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/48 (+ (* 1/24 (+ 16 (* 48 (- x 1/4)))) (* 1/16 (- (* -8 (- x 1/4)) 4))))) s)) (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4))))) s)) (* 1/2 (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))))) s)))
(* (pow s 2) (- (* -1 (/ (- (* -1 (/ (- x 1/4) s)) 1/2) s)) 1/4))
(* (pow s 2) (+ 1 (* -1 (/ (- 2 (/ 1 s)) s))))
(* -1 (* s (- 1 (/ 1 s))))
(* -1 (* s (sqrt -1/4)))
(* -1 (* s (+ (sqrt -1/4) (* 1/4 (/ 1 (* s (sqrt -1/4)))))))
(* -1 (* s (+ (sqrt -1/4) (* -1 (/ (- (* -1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* s (sqrt -1/4)))) (* 1/4 (/ 1 (sqrt -1/4)))) s)))))
(* -1 (* s (+ (sqrt -1/4) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* s (pow (sqrt -1/4) 3)))) (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4)))) s)) (* 1/4 (/ 1 (sqrt -1/4)))) s)))))
(* (pow s 2) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 s))) s))))
(/ (- (* -1 (/ (+ 8 (+ (* 16 (/ (- x 1/4) s)) (* 16 (/ 1 s)))) s)) 4) (pow s 2))
(/ (- (* -1 (/ (+ 8 (* -1 (/ (- (+ (* -32 (/ (- x 1/4) s)) (* -2 (/ (+ 16 (* 16 (- x 1/4))) s))) (+ 16 (* 16 (- x 1/4)))) s))) s)) 4) (pow s 2))
(* -1 (* (pow s 3) (- 1/4 (* 1/4 (/ 1 s)))))
(* -1 (* (pow s 3) (+ 1/4 (* -1 (/ (+ 1/4 (* 1/4 (/ 1 s))) s)))))
(* -1 (* (pow s 3) (+ 1/4 (* -1 (/ (+ 1/4 (* -1 (/ (- (* 1/4 (/ 1 s)) 1/4) s))) s)))))

Outputs
(* (pow -1/4 1/4) (sqrt (- 1 s)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) s)) (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
(+ (* -1 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 3)))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(fma.f64 (neg.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64)))) (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) s)) (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64))))
(+ (* x (+ (* -3/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 7)))))) (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(fma.f64 (fma.f64 (.f64 x (.f64 #s(literal -3/2 binary64) (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 7 binary64)))) (.f64 (neg.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64)))))) x (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) s)) (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64))))
(+ (* x (+ (* -1 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 3))))) (* x (+ (* -7/2 (* (pow -1/4 1/4) (* x (sqrt (/ 1 (pow (- 1 s) 11)))))) (* -3/2 (* (pow -1/4 1/4) (sqrt (/ 1 (pow (- 1 s) 7))))))))) (* (pow -1/4 1/4) (sqrt (- 1 s))))
(fma.f64 (fma.f64 (neg.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (.f64 #s(literal -7/2 binary64) (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 11 binary64)))) (.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 7 binary64)))))) x)) x (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) s)) (pow.f64 #s(literal -1/4 binary64) #s(literal 1/4 binary64))))
(* -1/4 (pow (- 1 s) 2))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)))
(+ x (* -1/4 (pow (- 1 s) 2)))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (sqrt -1/4) (- 1 s))
(*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (-.f64 #s(literal 1 binary64) s))
(+ (* 1/2 (/ x (* (sqrt -1/4) (- 1 s)))) (* (sqrt -1/4) (- 1 s)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) s)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (-.f64 #s(literal 1 binary64) s)))
(+ (* x (+ (* -1/8 (/ x (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) s))) x (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (-.f64 #s(literal 1 binary64) s)))
(+ (* x (+ (* x (- (* 1/16 (/ x (* (pow (sqrt -1/4) 5) (pow (- 1 s) 5)))) (* 1/8 (/ 1 (* (pow (sqrt -1/4) 3) (pow (- 1 s) 3)))))) (* 1/2 (/ 1 (* (sqrt -1/4) (- 1 s)))))) (* (sqrt -1/4) (- 1 s)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 5 binary64))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) s))) x (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (-.f64 #s(literal 1 binary64) s)))
(- x (* 1/4 (pow (- 1 s) 2)))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) x)
(pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4)
(pow.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 s s #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) s)) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64))) #s(literal 1/4 binary64))
(+ (* -1 (* (pow (/ (* -1/4 (pow (- (* -1 s) 1) 3)) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3))) 1/4) x)) (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4))
(fma.f64 (neg.f64 x) (pow.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 s s #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 s s #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) s)) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(+ (* x (+ (* -1 (pow (/ (* -1/4 (pow (- (* -1 s) 1) 3)) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3))) 1/4)) (* (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4) (* x (+ (* -2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)))) (* 1/2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2))))))))) (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -3/2 binary64)) (.f64 (pow.f64 (fma.f64 s s #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)))) (pow.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 s s #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) s)) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64))) #s(literal 1/4 binary64))) x (neg.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 s s #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64)))) #s(literal 1/4 binary64)))) x (pow.f64 (/.f64 (.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 s s #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) s)) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(+ (* x (+ (* -1 (pow (/ (* -1/4 (pow (- (* -1 s) 1) 3)) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3))) 1/4)) (* x (+ (* (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4) (* x (+ (* -16/3 (/ (pow (- (* -1 s) 1) 3) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)))) (+ (* -1/6 (/ (pow (- (* -1 s) 1) 3) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)))) (* 2 (/ (pow (- (* -1 s) 1) 3) (* (pow (- 1 s) 3) (pow (- (pow s 2) 1) 3)))))))) (* (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4) (+ (* -2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)))) (* 1/2 (/ (pow (- (* -1 s) 1) 2) (* (pow (- 1 s) 2) (pow (- (pow s 2) 1) 2)))))))))) (pow (/ (* -1/4 (* (- 1 s) (- (pow s 2) 1))) (- (* -1 s) 1)) 1/4))
(fma.f64 (fma.f64 (.f64 x (pow.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 s s #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) s)) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64))) #s(literal 1/4 binary64))) (fma.f64 (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (fma.f64 s s #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64)))) #s(literal -7/2 binary64)) x (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -3/2 binary64)) (.f64 (pow.f64 (fma.f64 s s #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 s s #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 3 binary64)))) #s(literal 1/4 binary64)))) x (pow.f64 (/.f64 (.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 s s #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) s)) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* -1/4 (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 s s #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) s)) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64)))
(- x (* 1/4 (/ (* (- 1 s) (- (pow s 2) 1)) (- (* -1 s) 1))))
(+.f64 x (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 s s #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) s)) (fma.f64 #s(literal -1 binary64) s #s(literal -1 binary64))))
(/ -4 (pow (- 1 s) 2))
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(* s (+ (sqrt -1/4) (* 1/4 (/ 1 (* s (sqrt -1/4))))))
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(* s (+ (sqrt -1/4) (+ (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 2) (sqrt -1/4)))) (/ 1/4 (* s (sqrt -1/4))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 (/.f64 (-.f64 x #s(literal 0 binary64)) s) s) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) s)) (sqrt.f64 #s(literal -1/4 binary64)))) s)
(* s (+ (sqrt -1/4) (+ (* -1/8 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 3) (pow (sqrt -1/4) 3)))) (+ (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* (pow s 2) (sqrt -1/4)))) (/ 1/4 (* s (sqrt -1/4)))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 s #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 (/.f64 (-.f64 x #s(literal 0 binary64)) s) s) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) s)) (sqrt.f64 #s(literal -1/4 binary64))))) s)
(* 1/4 (pow s 2))
(.f64 (.f64 #s(literal 1/4 binary64) s) s)
(* (pow s 2) (- 1/4 (* 1/2 (/ 1 s))))
(.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) s)) s) s)
(* (pow s 2) (- (+ 1/4 (/ 1/4 (pow s 2))) (* 1/2 (/ 1 s))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 s s)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) s)) (*.f64 s s))
(* (pow s 2) (- 1 (/ 1 (pow s 2))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) s) s)) s) s)
(/ -4 (pow s 2))
(/.f64 #s(literal -4 binary64) (*.f64 s s))
(* -1 (/ (+ 4 (* 8 (/ 1 s))) (pow s 2)))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) s) #s(literal -1 binary64) #s(literal -4 binary64)) s) s)
(/ (- (* -1 (/ (+ 16 (* 16 (- x 1/4))) (pow s 2))) (+ 4 (* 8 (/ 1 s)))) (pow s 2))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) s) (/.f64 (fma.f64 (-.f64 x #s(literal 1/4 binary64)) #s(literal 16 binary64) #s(literal 16 binary64)) s) #s(literal -4 binary64)) (/.f64 #s(literal 8 binary64) s)) (*.f64 s s))
(/ (- (* -1 (/ (+ (* 2 (+ 16 (* 16 (- x 1/4)))) (* 32 (- x 1/4))) (pow s 3))) (+ 4 (+ (* 16 (/ (- x 1/4) (pow s 2))) (+ (* 8 (/ 1 s)) (/ 16 (pow s 2)))))) (pow s 2))
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 32 binary64) (-.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 32 binary64) (-.f64 x #s(literal 1/4 binary64)) #s(literal 32 binary64)))) (pow.f64 s #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 s s)) (/.f64 #s(literal 8 binary64) s)) (fma.f64 (/.f64 #s(literal 16 binary64) s) (/.f64 (-.f64 x #s(literal 1/4 binary64)) s) #s(literal 4 binary64)))) (.f64 s s))
(* -1/4 (pow s 3))
(*.f64 (pow.f64 s #s(literal 3 binary64)) #s(literal -1/4 binary64))
(* (pow s 3) (- (* 1/4 (/ 1 s)) 1/4))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) s) #s(literal 1/4 binary64)) (pow.f64 s #s(literal 3 binary64)))
(* (pow s 3) (- (+ (/ 1/4 (pow s 2)) (* 1/4 (/ 1 s))) 1/4))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) s) (/.f64 #s(literal 1/4 binary64) (.f64 s s))) #s(literal 1/4 binary64)) (pow.f64 s #s(literal 3 binary64)))
(* (pow s 3) (- (+ (/ 1/4 (pow s 2)) (* 1/4 (/ 1 s))) (+ 1/4 (* 1/4 (/ 1 (pow s 3))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) s) (/.f64 #s(literal 1/4 binary64) (.f64 s s))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 s #s(literal 3 binary64)))) (pow.f64 s #s(literal 3 binary64)))
(exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) s)) #s(literal -2 binary64) (log.f64 #s(literal -1/4 binary64))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1/2 (/ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) s)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) s)) #s(literal -2 binary64) (log.f64 #s(literal -1/4 binary64)))) s) #s(literal -1/2 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) s)) #s(literal -2 binary64) (log.f64 #s(literal -1/4 binary64)))))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4)))) s)) (* 1/2 (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))))) s)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) s)) #s(literal -2 binary64) (log.f64 #s(literal -1/4 binary64)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) s)) #s(literal -2 binary64) (log.f64 #s(literal -1/4 binary64)))) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) (-.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) s)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) s)) #s(literal -2 binary64) (log.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64))) s))
(+ (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/48 (+ (* 1/24 (+ 16 (* 48 (- x 1/4)))) (* 1/16 (- (* -8 (- x 1/4)) 4))))) s)) (* (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))) (+ 1/8 (* 1/8 (- (* -8 (- x 1/4)) 4))))) s)) (* 1/2 (exp (* 1/4 (+ (log -1/4) (* -2 (log (/ -1 s)))))))) s)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) s)) #s(literal -2 binary64) (log.f64 #s(literal -1/4 binary64)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) s)) #s(literal -2 binary64) (log.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) s)) #s(literal -2 binary64) (log.f64 #s(literal -1/4 binary64)))) (fma.f64 (fma.f64 #s(literal -8 binary64) (-.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 (.f64 (+.f64 (+.f64 #s(literal 11/16 binary64) (.f64 (-.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) s)) #s(literal -2 binary64) (log.f64 #s(literal -1/4 binary64))))) (neg.f64 s))) (neg.f64 s))) s))
(* (pow s 2) (- (* -1 (/ (- (* -1 (/ (- x 1/4) s)) 1/2) s)) 1/4))
(.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1/4 binary64)) s) #s(literal -1 binary64) #s(literal -1/2 binary64)) s) #s(literal -1 binary64) #s(literal -1/4 binary64)) s) s)
(* (pow s 2) (+ 1 (* -1 (/ (- 2 (/ 1 s)) s))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) s)) s)) s) s)
(* -1 (* s (- 1 (/ 1 s))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) s)) (neg.f64 s))
(* -1 (* s (sqrt -1/4)))
(*.f64 (neg.f64 s) (sqrt.f64 #s(literal -1/4 binary64)))
(* -1 (* s (+ (sqrt -1/4) (* 1/4 (/ 1 (* s (sqrt -1/4)))))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) s)) (sqrt.f64 #s(literal -1/4 binary64))) (neg.f64 s))
(* -1 (* s (+ (sqrt -1/4) (* -1 (/ (- (* -1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* s (sqrt -1/4)))) (* 1/4 (/ 1 (sqrt -1/4)))) s)))))
(*.f64 (-.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 (-.f64 x #s(literal 0 binary64)) s) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) s)) (neg.f64 s))
(* -1 (* s (+ (sqrt -1/4) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (* s (pow (sqrt -1/4) 3)))) (* 1/2 (/ (- x (+ 1/4 (* 1/16 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4)))) s)) (* 1/4 (/ 1 (sqrt -1/4)))) s)))))
(.f64 (-.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64))) (/.f64 (-.f64 x #s(literal 0 binary64)) s) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (neg.f64 s)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))) s)) (neg.f64 s))
(* (pow s 2) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 s))) s))))
(.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) s)) s)) s) s)
(/ (- (* -1 (/ (+ 8 (+ (* 16 (/ (- x 1/4) s)) (* 16 (/ 1 s)))) s)) 4) (pow s 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1/4 binary64)) s) #s(literal 16 binary64) (/.f64 #s(literal 16 binary64) s)) #s(literal 8 binary64)) s) #s(literal -1 binary64) #s(literal -4 binary64)) s) s)
(/ (- (* -1 (/ (+ 8 (* -1 (/ (- (+ (* -32 (/ (- x 1/4) s)) (* -2 (/ (+ 16 (* 16 (- x 1/4))) s))) (+ 16 (* 16 (- x 1/4)))) s))) s)) 4) (pow s 2))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1/4 binary64)) #s(literal 16 binary64) #s(literal 16 binary64)) s) #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -32 binary64) x #s(literal 8 binary64)) s)) (fma.f64 (-.f64 x #s(literal 1/4 binary64)) #s(literal 16 binary64) #s(literal 16 binary64))) s)) s) #s(literal -1 binary64) #s(literal -4 binary64)) (*.f64 s s))
(* -1 (* (pow s 3) (- 1/4 (* 1/4 (/ 1 s)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) s))) (pow.f64 s #s(literal 3 binary64)))
(* -1 (* (pow s 3) (+ 1/4 (* -1 (/ (+ 1/4 (* 1/4 (/ 1 s))) s)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) s) #s(literal 1/4 binary64)) s))) (pow.f64 s #s(literal 3 binary64)))
(* -1 (* (pow s 3) (+ 1/4 (* -1 (/ (+ 1/4 (* -1 (/ (- (* 1/4 (/ 1 s)) 1/4) s))) s)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) s) #s(literal 1/4 binary64)) s)) s))) (pow.f64 s #s(literal 3 binary64)))

rewrite264.0ms (1.1%)

Memory

-22.3MiB live, 64.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	215
0	63	190
1	261	180
2	1808	180
0	8489	178

Stop Event

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

Counts

18 → 721

Calls

Call 1

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

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

eval136.0ms (0.6%)

Memory: 16.8MiB live, 92.1MiB allocated
Compiler: Compiled 29 325 to 4 178 computations (85.8% saved)

prune20.0ms (0.1%)

Memory

-40.5MiB live, 39.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	952	8	960
Fresh	7	1	8
Picked	5	0	5
Done	0	0	0
Total	964	9	973

Accuracy

100.0%

Counts

973 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) s) (*.f64 (-.f64 #s(literal 1 binary64) s) #s(literal -1/4 binary64)) x) #s(literal 1/4 binary64))
	97.2%	(pow.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) s) (neg.f64 s))) x) #s(literal 1/4 binary64))
	98.3%	(pow.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 s s)) (-.f64 #s(literal 1 binary64) s)) (+.f64 s #s(literal 1 binary64))) x) #s(literal 1/4 binary64))
	92.0%	(pow.f64 (fma.f64 #s(literal -1/4 binary64) #s(approx (pow (- 1 s) 2) (fma.f64 (-.f64 s #s(literal 2 binary64)) s #s(literal 1 binary64))) x) #s(literal 1/4 binary64))
	92.0%	(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) #s(approx (pow (- 1 s) 2) (fma.f64 (-.f64 s #s(literal 2 binary64)) s #s(literal 1 binary64))) x) #s(literal -1 binary64)) #s(literal -1/4 binary64))
	91.9%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (* (pow (- 1 s) 2) 1/4) (fma.f64 (fma.f64 #s(literal 1/4 binary64) s #s(literal -1/2 binary64)) s #s(literal 1/4 binary64))))))) #s(literal 1/2 binary64))
	99.8%	(pow.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) s) (*.f64 (-.f64 #s(literal 1 binary64) s) #s(literal -1/4 binary64)) x)) #s(literal 1/2 binary64))
	85.6%	(pow.f64 #s(approx (+ (* -1/4 (pow (- 1 s) 2)) x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64)) s (-.f64 x #s(literal 1/4 binary64)))) #s(literal 1/4 binary64))
	92.0%	(sqrt.f64 (sqrt.f64 (-.f64 x #s(approx (* (pow (- 1 s) 2) 1/4) (fma.f64 (fma.f64 #s(literal 1/4 binary64) s #s(literal -1/2 binary64)) s #s(literal 1/4 binary64))))))

Compiler

Compiled 528 to 240 computations (54.5% saved)

regimes40.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs
(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) s) (*.f64 (-.f64 #s(literal 1 binary64) s) #s(literal -1/4 binary64)) x) #s(literal 1/4 binary64))

Calls

8 calls:

5.0ms	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))
5.0ms	(-.f64 #s(literal 1 binary64) s)
5.0ms	(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
5.0ms	(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
5.0ms	(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`s`
99.9%	1	`(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))`
99.9%	1	`(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))`
99.9%	1	`(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))`
99.9%	1	`(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))`
99.9%	1	`(pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))`
99.9%	1	`(-.f64 #s(literal 1 binary64) s)`

Compiler

Compiled 48 to 53 computations (-10.4% saved)

regimes15.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

2.0ms	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))
2.0ms	(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
2.0ms	(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))
2.0ms	(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
2.0ms	(pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.0%	1	`x`
92.0%	1	`s`
92.0%	1	`(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))`
92.0%	1	`(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))`
92.0%	1	`(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))`
92.0%	1	`(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))`
92.0%	1	`(pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))`
92.0%	1	`(-.f64 #s(literal 1 binary64) s)`

Compiler

Compiled 48 to 53 computations (-10.4% saved)

regimes15.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Accuracy

Total -40.9b remaining (-797.7%)

Threshold costs -40.9b (-797.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

3.0ms	(pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))
2.0ms	(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))
2.0ms	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))
2.0ms	(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
2.0ms	(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))

Results

Accuracy	Segments	Branch
92.0%	1	`s`
92.0%	1	`x`
92.0%	1	`(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))`
92.0%	1	`(sqrt.f64 (-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))))`
92.0%	1	`(-.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64)))`
92.0%	1	`(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64)) #s(literal 1/4 binary64))`
92.0%	1	`(pow.f64 (-.f64 #s(literal 1 binary64) s) #s(literal 2 binary64))`
92.0%	1	`(-.f64 #s(literal 1 binary64) s)`

Compiler

Compiled 48 to 53 computations (-10.4% saved)

simplify82.0ms (0.3%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	48
1	37	48
2	60	48
3	124	48
4	356	48
5	1109	48
6	2813	48
7	4057	48
8	6156	48

Stop Event

1×	node limit

Calls

Call 1

Inputs

(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) s) (*.f64 (-.f64 #s(literal 1 binary64) s) #s(literal -1/4 binary64)) x) #s(literal 1/4 binary64))

(pow.f64 (fma.f64 #s(literal -1/4 binary64) #s(approx (pow (- 1 s) 2) (fma.f64 (-.f64 s #s(literal 2 binary64)) s #s(literal 1 binary64))) x) #s(literal 1/4 binary64))

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

Outputs

(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) s) (*.f64 (-.f64 #s(literal 1 binary64) s) #s(literal -1/4 binary64)) x) #s(literal 1/4 binary64))

(pow.f64 (fma.f64 #s(literal -1/4 binary64) #s(approx (pow (- 1 s) 2) (fma.f64 (-.f64 s #s(literal 2 binary64)) s #s(literal 1 binary64))) x) #s(literal 1/4 binary64))

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

soundness580.0ms (2.4%)

Memory

-67.2MiB live, 12.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	1816
1	1310	1682
2	4693	1486
0	8724	1412
0	12	38
0	18	37
1	69	37
2	410	37
3	4920	37
0	8798	34
0	781	3551
1	2371	3298
0	8549	3123
0	38	215
0	63	190
1	261	180
2	1808	180
0	8489	178

Stop Event

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

Compiler

Compiled 198 to 111 computations (43.9% saved)

preprocess25.0ms (0.1%)

Memory: 15.1MiB live, 15.1MiB allocated
Compiler: Compiled 120 to 80 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze36.0ms (0.1%)

sample20.7s (87.2%)

explain286.0ms (1.2%)

preprocess375.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify156.0ms (0.7%)

localize28.0ms (0.1%)

series15.0ms (0.1%)

simplify250.0ms (1%)

rewrite169.0ms (0.7%)

eval42.0ms (0.2%)

prune14.0ms (0.1%)

simplify146.0ms (0.6%)

localize98.0ms (0.4%)

series68.0ms (0.3%)

simplify188.0ms (0.8%)

rewrite264.0ms (1.1%)

eval136.0ms (0.6%)

prune20.0ms (0.1%)

regimes40.0ms (0.2%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

simplify82.0ms (0.3%)

soundness580.0ms (2.4%)

preprocess25.0ms (0.1%)

end0.0ms (0%)

Profiling