Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze287.0ms (3.7%)

Memory

-16.8MiB live, 462.6MiB 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
18.7%	0%	0%	100%	0%	0%	0%	6
28.1%	0%	0%	100%	0%	0%	0%	7
32.8%	0%	0%	100%	0%	0%	0%	8
49.2%	0%	0%	100%	0%	0%	0%	9
57.4%	0%	0%	100%	0%	0%	0%	10
61.5%	0%	0%	100%	0%	0%	0%	11
71.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample2.0s (26.2%)

Memory

-72.1MiB live, 2 262.5MiB allocated

Samples

1.6s	8 256×	0	valid
1.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

const: 547.0ms (43.1% of total)

ival-cosu: 150.0ms (11.8% of total)

ival-log: 141.0ms (11.1% of total)

ival-<=: 121.0ms (9.5% of total)

ival-sub: 95.0ms (7.5% of total)

ival-mult: 55.0ms (4.3% of total)

ival-sqrt: 54.0ms (4.3% of total)

ival-and: 35.0ms (2.8% of total)

ival-neg: 35.0ms (2.8% of total)

ival->: 27.0ms (2.1% of total)

exact: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain168.0ms (2.2%)

Memory

16.0MiB live, 212.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
197	5	(0.9999626874923706 0.0008255834691226482 0.00013139104703441262)	1	(0.9999346733093262 0.011910287663340569 3.190408790487709e-7)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	1	(0.9999243021011353 0.08374237269163132 0.24712619185447693)	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	201	11

Confusion

	Predicted +	Predicted -
+	191	2
-	10	53

Precision

0.9502487562189055

Recall

0.9896373056994818

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	191	2	0
-	10	10	43

Precision?

0.9061032863849765

Recall?

1.0

Freqs

test

number	freq
0	55
1	201

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

82.0ms

512×

valid

Compiler

Compiled 167 to 60 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-log: 22.0ms (33.9% of total)

ival-mult: 14.0ms (21.6% of total)

ival-cosu: 14.0ms (21.6% of total)

ival-sqrt: 7.0ms (10.8% of total)

ival-sub: 3.0ms (4.6% of total)

ival-pi: 2.0ms (3.1% of total)

ival-neg: 2.0ms (3.1% of total)

exact: 1.0ms (1.5% of total)

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

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

preprocess52.0ms (0.7%)

Memory

-18.1MiB live, 63.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	122
1	99	120
2	186	120
3	324	120
4	515	120
5	747	120
6	912	120
7	1252	120
8	1367	120
9	1553	120
10	1562	120
11	1566	120
12	1566	120
0	13	13
0	22	13
1	34	13
2	46	13
3	55	13
4	63	13
5	75	13
6	89	13
7	97	13
8	100	13
0	100	12

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 13 to 14 computations (-7.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	22	50
1	34	50
2	46	50
3	55	50
4	63	50
5	75	50
6	89	50
7	97	50
8	100	50
0	100	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

Outputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize48.0ms (0.6%)

Memory

-16.4MiB live, 58.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.171875	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	13.672365771405948	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

29.0ms

256×

valid

Compiler

Compiled 102 to 30 computations (70.6% saved)

Precisions

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

ival-mult: 4.0ms (22.8% of total)

ival-cosu: 4.0ms (22.8% of total)

ival-log: 4.0ms (22.8% of total)

ival-sqrt: 2.0ms (11.4% of total)

ival-pi: 1.0ms (5.7% of total)

ival-sub: 1.0ms (5.7% of total)

ival-neg: 1.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.7%)

Memory

22.9MiB live, 66.7MiB allocated

Counts

5 → 54

Calls

Call 1

Inputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Outputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	u2	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
7.0ms	u2	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
3.0ms	u2	@	0	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
3.0ms	u1	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
3.0ms	u1	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))

simplify181.0ms (2.3%)

Memory

-25.9MiB live, 171.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1577
1	858	1298
2	2729	1175
3	6882	1138
0	8137	1093

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

Calls

Call 1

Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))

Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal -1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(-.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (.f32 u1 u1)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)))) (pow.f32 u1 #s(literal 3 binary32)) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(-.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1)) (sqrt.f32 u1))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal -1/6 binary32) #s(literal -1/4 binary32)))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (.f32 (/.f32 #s(literal -1/2 binary32) u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))))) (.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (fma.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))) (.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(neg.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) u1) u1) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 #s(literal 1/2 binary32) u1) u1)) (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(* -1 (log (/ -1 u1)))
(log.f32 (neg.f32 u1))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 (neg.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (.f32 (/.f32 #s(literal -1/2 binary32) u1) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (.f32 (neg.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (neg.f32 u1)))) u1) #s(literal 1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (neg.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1))) #s(literal -1/4 binary32)) (log.f32 (neg.f32 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (neg.f32 u1))))))) #s(literal -1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(neg.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (+.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) u1) #s(literal 1/2 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (+.f32 (/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1))) #s(literal -1/4 binary32)) (log.f32 (neg.f32 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (neg.f32 u1)))))) #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) #s(literal -1/2 binary32))) u1) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (neg.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 (neg.f32 u1)) (/.f32 (/.f32 #s(literal 1/2 binary32) u1) u1)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1) (log.f32 (neg.f32 u1)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 u2 u2)) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -4/45 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 u2 u2)) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))

rewrite122.0ms (1.6%)

Memory

11.2MiB live, 165.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23

Stop Event

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

Counts

5 → 228

Calls

Call 1

Inputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Outputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (log1p.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (log1p.f32 (.f32 u1 u1)))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (log1p.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))) (log1p.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32))) (log1p.f32 u1))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) (pow.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)))) (log.f32 (+.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) #s(literal 2 binary32)))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
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(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1))))))
(/.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))))))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))
(-.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (log1p.f32 u1)) (log1p.f32 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (fabs.f32 (log1p.f32 u1)))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (log.f32 (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) (neg.f32 (log1p.f32 u1)))
(-.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 0 binary32))
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) #s(literal 0 binary32))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32))
(pow.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) #s(literal -1 binary32))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (*.f32 u1 u1)))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log1p.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(+.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))))) (log1p.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) (log1p.f32 u1))
(+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(+.f32 (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(exp.f32 (log.f32 (neg.f32 (log1p.f32 u1))))
(neg.f32 (log1p.f32 u1))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 u2 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 u2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 u2 #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 u2 (PI.f32)) #s(literal 2 binary32))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) u2))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(.f32 (PI.f32) (.f32 #s(literal 1 binary32) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))

eval29.0ms (0.4%)

Memory: 19.0MiB live, 56.9MiB allocated
Compiler: Compiled 6 708 to 1 419 computations (78.8% saved)

prune14.0ms (0.2%)

Memory

-2.8MiB live, 35.8MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	269	12	281
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	269	13	282

Accuracy

91.4%

Counts

282 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.1%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.9%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	40.9%	(.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	41.4%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.5%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	6.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
▶	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
▶	59.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	3.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 481 to 422 computations (12.3% saved)

simplify11.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	9792	(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
cost-diff	0	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	800	(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	306
0	75	284
1	112	276
2	164	276
3	230	276
4	244	276
5	263	276
6	287	276
7	291	276
0	291	262

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(neg.f32 u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 u2 #s(literal 2 binary32))
u2
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(log1p.f32 u1)
u1
#s(literal 2 binary32)
#s(literal 1/4 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 u2 #s(literal 2 binary32))
u2
#s(literal 2 binary32)
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))
(cbrt.f32 (PI.f32))
(PI.f32)

Outputs
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(neg.f32 u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))
(*.f32 u2 #s(literal 2 binary32))
u2
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(log1p.f32 u1)
u1
#s(literal 2 binary32)
#s(literal 1/4 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32))
(*.f32 u2 #s(literal 2 binary32))
u2
#s(literal 2 binary32)
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))
(cbrt.f32 (PI.f32))
(PI.f32)

localize122.0ms (1.6%)

Memory

-22.8MiB live, 133.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.171875	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
accuracy	0.32421875	(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
accuracy	0.47265625	(.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
accuracy	13.672365771405948	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.205410009768442	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.40462875976844204	(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
accuracy	17.412197081625585	(log1p.f32 u1)
accuracy	0.171875	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
accuracy	0.3671875	(.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
accuracy	0.390625	(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy	13.672365771405948	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.07870001923805559	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.171875	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	30.896357138363328	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.11328125	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	0.171875	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	8.355569180587898	#s(approx (log (- 1 u1)) (neg.f32 u1))

Samples

87.0ms

256×

valid

Compiler

Compiled 602 to 80 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 19.0ms (34.7% of total)

ival-cos: 5.0ms (9.1% of total)

ival-sqrt: 5.0ms (9.1% of total)

ival-pow2: 5.0ms (9.1% of total)

ival-cosu: 4.0ms (7.3% of total)

ival-log: 4.0ms (7.3% of total)

ival-pow: 4.0ms (7.3% of total)

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

ival-log1p: 2.0ms (3.7% of total)

ival-pi: 1.0ms (1.8% of total)

ival-cbrt: 1.0ms (1.8% of total)

ival-sub: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series268.0ms (3.4%)

Memory

-31.3MiB live, 388.4MiB allocated

Counts

22 → 115

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(log1p.f32 u1)
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))

Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* -1 (sqrt u1))
(sqrt u1)
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))
(pow (log (/ 1 u1)) 2)
(+ (* -2 (/ (log (/ 1 u1)) u1)) (pow (log (/ 1 u1)) 2))
(+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))
(- (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (* -2/3 (/ (log (/ 1 u1)) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))) (/ 1 (pow u1 3)))
(* -1 (log (/ 1 u1)))
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))
(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
(sqrt (log (+ 1 u1)))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* u2 (sqrt (PI))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(cos (* 2 (* u2 (PI))))

Calls

9 calls:

Time	Variable		Point	Expression
55.0ms	u2	@	0	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (* (pow (pow (log (+ 1 u1)) 2) 1/4) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 2) 1/4) (pow (log (+ 1 u1)) 2) (log (+ 1 u1)) (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (* (* u2 2) (pow (cbrt (PI)) 2)))
52.0ms	u2	@	inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (* (pow (pow (log (+ 1 u1)) 2) 1/4) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 2) 1/4) (pow (log (+ 1 u1)) 2) (log (+ 1 u1)) (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (* (* u2 2) (pow (cbrt (PI)) 2)))
38.0ms	cosTheta_i	@	0	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (* (pow (pow (log (+ 1 u1)) 2) 1/4) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 2) 1/4) (pow (log (+ 1 u1)) 2) (log (+ 1 u1)) (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (* (* u2 2) (pow (cbrt (PI)) 2)))
34.0ms	u1	@	0	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (* (pow (pow (log (+ 1 u1)) 2) 1/4) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 2) 1/4) (pow (log (+ 1 u1)) 2) (log (+ 1 u1)) (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (* (* u2 2) (pow (cbrt (PI)) 2)))
30.0ms	u2	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (* (pow (pow (log (+ 1 u1)) 2) 1/4) (cos (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 2) 1/4) (pow (log (+ 1 u1)) 2) (log (+ 1 u1)) (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (* (* u2 2) (pow (cbrt (PI)) 2)))

simplify155.0ms (2%)

Memory

43.3MiB live, 270.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	558	3245
1	1689	2733
2	5354	2692
0	8026	2552

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 114

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* -1 (sqrt u1))
(sqrt u1)
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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1
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Outputs
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(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 (.f32 #s(literal 2/3 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 u2 u2) (.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (PI.f32) (PI.f32))))) (.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 #s(literal 2/3 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal -1 binary32))))))))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(sqrt (log (+ 1 u1)))
(sqrt.f32 (log1p.f32 u1))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1)))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
(fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32))
(* 2 (* u2 (sqrt (PI))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))

rewrite133.0ms (1.7%)

Memory

-18.6MiB live, 147.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	188
0	75	165
1	166	163
2	630	163
3	4409	135
0	8742	134

Stop Event

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

Counts

22 → 624

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(log1p.f32 u1)
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))

Outputs
(.f32 (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 1/4 binary32))) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 1/4 binary32)))
(.f32 (.f32 (cos.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 #s(approx (log (- 1 u1)) u1)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32)))))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) u1))) (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))
(.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 #s(approx (log (- 1 u1)) u1)) (cos.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32)))))
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (log (- 1 u1)) u1)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)))
(/.f32 (sqrt.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (log (- 1 u1)) u1)))
(/.f32 (sqrt.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 1/2 binary32))
(exp.f32 (.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) u1))))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) u1))) #s(literal 1/2 binary32)))
(*.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) u1)))
(*.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) #s(approx (log (- 1 u1)) u1))
(*.f32 #s(approx (log (- 1 u1)) u1) #s(literal -1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) u1))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) u1))))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32)))) (neg.f32 #s(approx (log (- 1 u1)) u1)))
(/.f32 (neg.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 3 binary32)))) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32))))
(/.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32))) #s(approx (log (- 1 u1)) u1))
(/.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 3 binary32))) (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (log (- 1 u1)) u1) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 3 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) u1)) (/.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32)) #s(approx (log (- 1 u1)) u1)))
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32))) (/.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 3 binary32)) (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32))))
(-.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) u1))
(fma.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) u1)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) #s(approx (log (- 1 u1)) u1) #s(literal 0 binary32))
(fma.f32 #s(approx (log (- 1 u1)) u1) #s(literal -1 binary32) #s(literal 0 binary32))
(pow.f32 (/.f32 #s(approx (log (- 1 u1)) u1) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) u1)))
(+.f32 (neg.f32 #s(approx (log (- 1 u1)) u1)) #s(literal 0 binary32))
(neg.f32 #s(approx (log (- 1 u1)) u1))
#s(approx (log (- 1 u1)) u1)
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) u1) #s(literal 2 binary32))) (neg.f32 #s(approx (log (- 1 u1)) u1)))
(+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) u1))
(+.f32 #s(approx (log (- 1 u1)) u1) #s(literal 0 binary32))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1))
(.f32 (.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) u1))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(sqrt.f32 u1)
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 0 binary32))))
(/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) u1)
(/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)
(/.f32 u1 (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (sqrt.f32 u1))
(-.f32 (/.f32 #s(literal 0 binary32) u1) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) u1))
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) u1) #s(literal 0 binary32))
(fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 u1) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (sqrt.f32 u1) #s(literal 0 binary32))
(pow.f32 (/.f32 (sqrt.f32 u1) u1) #s(literal -1 binary32))
(pow.f32 (/.f32 u1 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) #s(literal 0 binary32))
(exp.f32 (.f32 (.f32 (log.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 1/4 binary32)))
(exp.f32 (log.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(.f32 (.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) u1))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
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(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) u2)
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 u2 #s(literal 2 binary32)))
(.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(.f32 u2 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 #s(literal 1 binary32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32))
(.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) u2)
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 u2 #s(literal 2 binary32)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 u2 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2))
(.f32 #s(literal 1 binary32) (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32)))

eval93.0ms (1.2%)

Memory: 19.8MiB live, 136.2MiB allocated
Compiler: Compiled 17 780 to 2 487 computations (86% saved)

prune37.0ms (0.5%)

Memory

-13.9MiB live, 70.1MiB allocated

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	641	25	666
Fresh	4	3	7
Picked	4	1	5
Done	0	1	1
Total	649	30	679

Accuracy

91.9%

Counts

679 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-0.0%	(.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.5%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))))
	59.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (cbrt.f32 (PI.f32)))))
▶	59.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
✓	59.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(approx (* (* u2 2) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))))
▶	54.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)))
	76.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 6 binary32))) (+.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) #s(literal 2 binary32))))))
	76.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	75.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	9.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
	64.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	64.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	54.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.1%	(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
	76.1%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 2) 1/4) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.1%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	4.3%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.0%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (.f32 (log.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.0%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 1 336 to 1 158 computations (13.3% saved)

simplify30.0ms (0.4%)

Memory

-10.3MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(log.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1))))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	6400	(exp.f32 (log.f32 (sqrt.f32 u1)))
cost-diff	0	#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	0	(/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	128	(neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	358
0	90	344
1	131	344
2	211	344
3	389	344
4	640	344
5	865	344
6	1068	344
7	1104	344
8	1116	344
0	1116	330

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1))
(/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)
(neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))
(pow.f32 u1 #s(literal 3/2 binary32))
u1
#s(literal 3/2 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))
#s(literal -1/2 binary32)
u1
#s(literal -1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 u1)))
(log.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))
(*.f32 (cbrt.f32 (PI.f32)) u2)
(cbrt.f32 (PI.f32))
(PI.f32)
u2
#s(literal 2 binary32)
(pow.f32 (PI.f32) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(sqrt.f32 (PI.f32))

Outputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) u1)))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) u1))
(/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)
(/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) u1)
(neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(pow.f32 u1 #s(literal 3/2 binary32))
(neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))
(pow.f32 u1 #s(literal 3/2 binary32))
u1
#s(literal 3/2 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))
#s(literal -1/2 binary32)
u1
#s(literal -1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1))
(exp.f32 (log.f32 (sqrt.f32 u1)))
(sqrt.f32 u1)
(log.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(.f32 (cos.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32))))
(cos.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))
(*.f32 (cbrt.f32 (PI.f32)) u2)
(cbrt.f32 (PI.f32))
(PI.f32)
u2
#s(literal 2 binary32)
(pow.f32 (PI.f32) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(sqrt.f32 (PI.f32))

localize169.0ms (2.2%)

Memory

27.0MiB live, 182.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.265625	(*.f32 (cbrt.f32 (PI.f32)) u2)
accuracy	0.390625	(.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))
accuracy	0.481132519536884	(.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
accuracy	13.672365771405948	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.171875	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	1.0513320684300798	(exp.f32 (log.f32 (sqrt.f32 u1)))
accuracy	7.613431201565489	#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1))))
accuracy	0.28125	(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	3.9689345132196086	#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
accuracy	7.885632989657835	(fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))
accuracy	0	(neg.f32 (sqrt.f32 u1))
accuracy	0.171875	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	7.230368938337104	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	30.896357138363328	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.171875	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.2421875	(/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	7.613431201565489	#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1))

Samples

137.0ms

256×

valid

Compiler

Compiled 654 to 97 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-sqrt: 53.0ms (44.9% of total)

ival-mult: 15.0ms (12.7% of total)

ival-pow: 13.0ms (11% of total)

ival-log: 7.0ms (5.9% of total)

ival-neg: 6.0ms (5.1% of total)

ival-cos: 4.0ms (3.4% of total)

const: 4.0ms (3.4% of total)

ival-cosu: 4.0ms (3.4% of total)

ival-exp: 3.0ms (2.5% of total)

ival-sub: 3.0ms (2.5% of total)

ival-div: 2.0ms (1.7% of total)

ival-pi: 1.0ms (0.8% of total)

ival-add: 1.0ms (0.8% of total)

ival-cbrt: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series217.0ms (2.8%)

Memory

-9.1MiB live, 339.3MiB allocated

Counts

27 → 75

Calls

Call 1

Inputs
(neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1))
(/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
(exp.f32 (log.f32 (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1))))
(log.f32 (sqrt.f32 u1))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (PI.f32)) u2)

Outputs
(sqrt (pow u1 3))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(sqrt u1)
(* -1 (sqrt u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(log (sqrt u1))
-1
(- (* -1/2 u1) 1)
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+ (log (sqrt (/ 1 u1))) (* -1 (log (/ 1 u1))))
(* -1/2 u1)
(* -1 (* u1 (+ 1/2 (/ 1 u1))))
(* -1/2 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(+ (log (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* u2 (sqrt (PI))))
(* u2 (cbrt (PI)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(cos (* 2 (* u2 (PI))))

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	u1	@	inf	((neg (neg (pow u1 3/2))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (/ (neg (neg (pow u1 3/2))) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (exp (log (sqrt u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (log (sqrt u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (+ (* -1/2 u1) -1) u1) (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (* (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (sqrt (PI))) (* (cbrt (PI)) u2))
33.0ms	u1	@	-inf	((neg (neg (pow u1 3/2))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (/ (neg (neg (pow u1 3/2))) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (exp (log (sqrt u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (log (sqrt u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (+ (* -1/2 u1) -1) u1) (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (* (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (sqrt (PI))) (* (cbrt (PI)) u2))
29.0ms	u2	@	-inf	((neg (neg (pow u1 3/2))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (/ (neg (neg (pow u1 3/2))) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (exp (log (sqrt u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (log (sqrt u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (+ (* -1/2 u1) -1) u1) (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (* (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (sqrt (PI))) (* (cbrt (PI)) u2))
29.0ms	u2	@	0	((neg (neg (pow u1 3/2))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (/ (neg (neg (pow u1 3/2))) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (exp (log (sqrt u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (log (sqrt u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (+ (* -1/2 u1) -1) u1) (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (* (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (sqrt (PI))) (* (cbrt (PI)) u2))
28.0ms	u1	@	0	((neg (neg (pow u1 3/2))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (/ (neg (neg (pow u1 3/2))) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (exp (log (sqrt u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (log (sqrt u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (+ (* -1/2 u1) -1) u1) (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (* (* (* (* (cbrt (PI)) u2) 2) (pow (PI) 1/6)) (sqrt (PI))) (* (cbrt (PI)) u2))

simplify176.0ms (2.3%)

Memory

25.4MiB live, 262.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	326	1736
1	966	1436
2	3077	1315
0	8296	1258

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 74

Calls

Call 1

Inputs
(sqrt (pow u1 3))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(sqrt u1)
(* -1 (sqrt u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(log (sqrt u1))
-1
(- (* -1/2 u1) 1)
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+ (log (sqrt (/ 1 u1))) (* -1 (log (/ 1 u1))))
(* -1/2 u1)
(* -1 (* u1 (+ 1/2 (/ 1 u1))))
(* -1/2 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(+ (log (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* u2 (sqrt (PI))))
(* u2 (cbrt (PI)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(cos (* 2 (* u2 (PI))))

Outputs
(sqrt (pow u1 3))
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (.f32 u1 u1)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) (.f32 (.f32 (.f32 u1 u1) #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)))) (pow.f32 u1 #s(literal 3 binary32))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(-.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1)) (sqrt.f32 u1))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal -1/6 binary32) #s(literal -1/4 binary32)))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal -1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(log (sqrt u1))
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(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(* 2 (* u2 (sqrt (PI))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))
(* u2 (cbrt (PI)))
(*.f32 (cbrt.f32 (PI.f32)) u2)
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))

rewrite190.0ms (2.4%)

Memory

-18.1MiB live, 256.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	259
0	90	249
1	198	247
2	800	216
3	6142	216
0	8472	202

Stop Event

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

Counts

27 → 1 036

Calls

Call 1

Inputs
(neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1))
(/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
(exp.f32 (log.f32 (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1))))
(log.f32 (sqrt.f32 u1))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (PI.f32)) u2)

Outputs
(*.f32 (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (pow.f32 u1 #s(literal 3/2 binary32)))
(*.f32 (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (neg.f32 (pow.f32 u1 #s(literal 9/2 binary32)))) (pow.f32 u1 #s(literal 3 binary32)))
(.f32 (.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (pow.f32 u1 #s(literal 3/8 binary32))) (pow.f32 u1 #s(literal 3/8 binary32)))
(.f32 (.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32)))) (pow.f32 u1 #s(literal 3/4 binary32)))
(*.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32)))) (pow.f32 u1 #s(literal 3/4 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 u1) #s(literal 3/2 binary32)) (pow.f32 (sqrt.f32 u1) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))) (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))))
(.f32 (pow.f32 u1 #s(literal 3/8 binary32)) (.f32 (pow.f32 u1 #s(literal 3/8 binary32)) (pow.f32 u1 #s(literal 3/4 binary32))))
(*.f32 (pow.f32 u1 #s(literal 9/2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(*.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))))
(.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32)))))
(*.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (pow.f32 u1 #s(literal 3/4 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(*.f32 (sqrt.f32 u1) u1)
(*.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1 binary32))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) #s(literal -1 binary32))
(*.f32 u1 (sqrt.f32 u1))
(/.f32 (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (pow.f32 u1 #s(literal 3/4 binary32))) (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))))
(/.f32 (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
(/.f32 (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal 1 binary32)) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(/.f32 (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32)))) (pow.f32 u1 #s(literal 3/4 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(/.f32 (*.f32 (pow.f32 u1 #s(literal 9/2 binary32)) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))
(/.f32 (*.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal 1 binary32)) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(/.f32 (neg.f32 (pow.f32 u1 #s(literal 9/2 binary32))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))
(/.f32 (pow.f32 u1 #s(literal 9/2 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 0 binary32))))
(/.f32 (pow.f32 u1 #s(literal 9/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)))
(/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(/.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 9/2 binary32))))
(/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(-.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(fma.f32 (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (neg.f32 (pow.f32 u1 #s(literal 9/2 binary32)))) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (*.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (pow.f32 u1 #s(literal 3/8 binary32))) (pow.f32 u1 #s(literal 3/8 binary32)) #s(literal 0 binary32))
(fma.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32)))) (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32)))) (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (sqrt.f32 u1) #s(literal 3/2 binary32)) (pow.f32 (sqrt.f32 u1) #s(literal 3/2 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))) (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 u1 #s(literal 3/8 binary32)) (*.f32 (pow.f32 u1 #s(literal 3/8 binary32)) (pow.f32 u1 #s(literal 3/4 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 u1 #s(literal 9/2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) #s(literal 0 binary32))
(fma.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32)))) #s(literal 0 binary32))
(fma.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 u1) u1 #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 u1 (sqrt.f32 u1) #s(literal 0 binary32))
(pow.f32 (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 9/2 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 3/2 binary32)) (log.f32 u1))
(pow.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/4 binary32))
(pow.f32 (sqrt.f32 u1) #s(literal 3 binary32))
(pow.f32 u1 #s(literal 3/2 binary32))
(+.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))
(+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 0 binary32))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 3/2 binary32))) (log.f32 u1)))
(exp.f32 (.f32 (.f32 #s(literal 3/4 binary32) (log.f32 u1)) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 3/4 binary32)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 u1)) #s(literal 3 binary32)))
(neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
#s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 1 binary32)) (pow.f32 u1 #s(literal -1/4 binary32)))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) u1))
(*.f32 (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))) #s(literal -1 binary32)) (pow.f32 u1 #s(literal -1/4 binary32)))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))) u1))
(*.f32 (pow.f32 u1 #s(literal -1/4 binary32)) (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/4 binary32)) (pow.f32 u1 #s(literal 3/4 binary32)))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (neg.f32 u1)))
(.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))) (.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 (pow.f32 u1 #s(literal 3/8 binary32)) (.f32 (pow.f32 u1 #s(literal 3/8 binary32)) (pow.f32 u1 #s(literal -1/4 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) u1) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) u1) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(*.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32))
(.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (.f32 (neg.f32 (pow.f32 u1 #s(literal 3/4 binary32))) (/.f32 #s(literal -1 binary32) u1)))
(*.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (pow.f32 u1 #s(literal -1/4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 (pow.f32 u1 #s(literal -3/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 3/2 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) u1))
(.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (/.f32 #s(literal -1 binary32) u1))
(sqrt.f32 u1)
(/.f32 (*.f32 (pow.f32 u1 #s(literal 9/2 binary32)) (/.f32 #s(literal 1 binary32) u1)) (pow.f32 u1 #s(literal 3 binary32)))
(/.f32 (*.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) u1)) (pow.f32 u1 #s(literal 3/2 binary32)))
(/.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 9/2 binary32))) (/.f32 #s(literal -1 binary32) u1)) (pow.f32 u1 #s(literal 3 binary32)))
(/.f32 (*.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 9/2 binary32))) (pow.f32 u1 #s(literal 3 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (sqrt.f32 u1)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (sqrt.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1)) (*.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1))))))
(/.f32 (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1 binary32)) u1)
(/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (.f32 u1 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))))
(/.f32 (*.f32 (pow.f32 u1 #s(literal 9/2 binary32)) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))
(/.f32 (.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) u1))
(/.f32 (.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal 1 binary32)) (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (neg.f32 u1)))
(/.f32 (.f32 (neg.f32 (pow.f32 u1 #s(literal 9/2 binary32))) #s(literal 1 binary32)) (.f32 (pow.f32 u1 #s(literal 3 binary32)) (neg.f32 u1)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) u1) (.f32 u1 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
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(.f32 (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/24 binary32))) (pow.f32 (PI.f32) #s(literal 1/24 binary32)))
(.f32 (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/18 binary32)))
(.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))
(.f32 (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(.f32 (.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)) u2) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) u2)
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) #s(literal 2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2)))
(.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/24 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/24 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/18 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)) u2)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/18 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/36 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 u2 #s(literal 2 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)) u2))
(.f32 u2 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 #s(literal 1 binary32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/18 binary32)))
(.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))
(.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/12 binary32)))
(.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 u2 #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)) u2))
(.f32 (.f32 u2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 7/12 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (cbrt.f32 (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 7/12 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))
(.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/18 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (.f32 u2 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (cbrt.f32 (PI.f32))))
(.f32 (.f32 u2 (PI.f32)) #s(literal 2 binary32))
(.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 7/12 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/12 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 u2 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 u2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))))
(.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(.f32 (PI.f32) (.f32 #s(literal 1 binary32) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 u2 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 u2 #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2))
(*.f32 (cbrt.f32 (PI.f32)) u2)
(*.f32 u2 (cbrt.f32 (PI.f32)))
(.f32 #s(literal 1 binary32) (.f32 (cbrt.f32 (PI.f32)) u2))

eval323.0ms (4.1%)

Memory: 20.6MiB live, 188.1MiB allocated
Compiler: Compiled 26 056 to 4 136 computations (84.1% saved)

prune97.0ms (1.2%)

Memory

-26.8MiB live, 95.0MiB allocated

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	917	24	941
Fresh	13	10	23
Picked	2	3	5
Done	0	2	2
Total	932	39	971

Accuracy

98.6%

Counts

971 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.7%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	59.2%	(.f32 (sqrt.f32 (-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	53.6%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	53.5%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	55.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	33.0%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
✓	59.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
✓	59.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(approx (* (* u2 2) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))))
	16.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1 binary32) u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32))) (.f32 u1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	8.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (+.f32 (pow.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (-.f32 (.f32 u1 u1) (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (neg.f32 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	88.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	54.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	64.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	56.7%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
▶	54.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.1%	(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
	6.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) #s(literal 0 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.1%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (pow.f32 u1 #s(literal 9/2 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.3%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.3%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.3%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	4.3%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	73.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (-.f32 (.f32 (log.f32 u1) #s(literal 3/2 binary32)) (log.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.0%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 1 890 to 1 556 computations (17.7% saved)

simplify123.0ms (1.6%)

Memory

-2.9MiB live, 119.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	2880	(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))
cost-diff	3264	(/.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)
cost-diff	4096	(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)))
cost-diff	0	(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	6240	(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
cost-diff	0	(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
cost-diff	0	#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))
cost-diff	0	(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	64	(-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	383
0	77	341
1	117	335
2	174	334
3	242	333
4	669	333
5	2499	333
6	4855	333
0	8315	313

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))
#s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1))
(-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)
(.f32 (.f32 u1 u1) #s(literal -1/2 binary32))
(*.f32 u1 u1)
u1
#s(literal -1/2 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(neg.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
#s(literal 1/2 binary32)
u1
#s(literal 1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
(log.f32 u1)
u1
#s(literal 1/2 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1))
(/.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))
(pow.f32 u1 #s(literal 1/4 binary32))
u1
#s(literal 1/4 binary32)
#s(literal 3 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

Outputs
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
#s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1))
#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
(-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(.f32 (.f32 u1 u1) #s(literal -1/2 binary32))
(.f32 #s(literal -1/2 binary32) (.f32 u1 u1))
(*.f32 u1 u1)
u1
#s(literal -1/2 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(neg.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
#s(literal 1/2 binary32)
u1
#s(literal 1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
#s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(sqrt.f32 u1)
(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
(log.f32 u1)
u1
#s(literal 1/2 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1))
#s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1))
(/.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)
(sqrt.f32 u1)
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)))
(pow.f32 u1 #s(literal 3/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))
(/.f32 u1 (pow.f32 u1 #s(literal 1/4 binary32)))
(pow.f32 u1 #s(literal 1/4 binary32))
u1
#s(literal 1/4 binary32)
#s(literal 3 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize125.0ms (1.6%)

Memory

4.2MiB live, 150.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.502285009768442	(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)))
accuracy	0.7214814453688405	(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))
accuracy	7.613431201565489	#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1))
accuracy	0.171875	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	1.0513320684300798	(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
accuracy	7.613431201565489	#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
accuracy	0.28125	(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	3.9689345132196086	#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))
accuracy	7.885632989657835	(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
accuracy	0.11328125	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	0.171875	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	7.230368938337104	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	8.355569180587898	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.11328125	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1))))
accuracy	0.171875	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	3.9689345132196086	#s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1))

Samples

94.0ms

256×

valid

Compiler

Compiled 661 to 86 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-log: 17.0ms (25.1% of total)

ival-mult: 13.0ms (19.2% of total)

ival-exp: 11.0ms (16.3% of total)

ival-pow: 7.0ms (10.3% of total)

ival-sub: 6.0ms (8.9% of total)

ival-cosu: 4.0ms (5.9% of total)

ival-div: 2.0ms (3% of total)

ival-sqrt: 2.0ms (3% of total)

ival-neg: 2.0ms (3% of total)

ival-pi: 1.0ms (1.5% of total)

ival-add: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series119.0ms (1.5%)

Memory

-35.0MiB live, 122.0MiB allocated

Counts

25 → 75

Calls

Call 1

Inputs
(-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)))
(/.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1))

Outputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(sqrt u1)
(* 1/2 (log u1))
(sqrt (pow u1 3))
(pow (* 1 (pow u1 3)) 1/4)
1
(+ 1 (* 1/2 u1))
(* -1/2 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* -1/2 (log (/ 1 u1)))
(* 1/2 u1)
(* u1 (+ 1/2 (/ 1 u1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 u1))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(cos (* 2 (* u2 (PI))))

Calls

9 calls:

Time	Variable		Point	Expression
45.0ms	u1	@	-inf	((- (* (* u1 u1) -1/2) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* 1/2 u1) 1) u1) (exp (* (log u1) 1/2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (log u1) 1/2) (* (pow (pow u1 1/4) 3) (pow (pow u1 1/4) 3)) (/ (* (pow (pow u1 1/4) 3) (pow (pow u1 1/4) 3)) u1) (pow (pow u1 1/4) 3) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* 1/2 u1) 1) (sqrt (neg (log (- 1 u1)))))
31.0ms	u2	@	-inf	((- (* (* u1 u1) -1/2) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* 1/2 u1) 1) u1) (exp (* (log u1) 1/2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (log u1) 1/2) (* (pow (pow u1 1/4) 3) (pow (pow u1 1/4) 3)) (/ (* (pow (pow u1 1/4) 3) (pow (pow u1 1/4) 3)) u1) (pow (pow u1 1/4) 3) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* 1/2 u1) 1) (sqrt (neg (log (- 1 u1)))))
16.0ms	u1	@	0	((- (* (* u1 u1) -1/2) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* 1/2 u1) 1) u1) (exp (* (log u1) 1/2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (log u1) 1/2) (* (pow (pow u1 1/4) 3) (pow (pow u1 1/4) 3)) (/ (* (pow (pow u1 1/4) 3) (pow (pow u1 1/4) 3)) u1) (pow (pow u1 1/4) 3) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* 1/2 u1) 1) (sqrt (neg (log (- 1 u1)))))
16.0ms	u1	@	inf	((- (* (* u1 u1) -1/2) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* 1/2 u1) 1) u1) (exp (* (log u1) 1/2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (log u1) 1/2) (* (pow (pow u1 1/4) 3) (pow (pow u1 1/4) 3)) (/ (* (pow (pow u1 1/4) 3) (pow (pow u1 1/4) 3)) u1) (pow (pow u1 1/4) 3) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* 1/2 u1) 1) (sqrt (neg (log (- 1 u1)))))
7.0ms	u2	@	inf	((- (* (* u1 u1) -1/2) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* 1/2 u1) 1) u1) (exp (* (log u1) 1/2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (log u1) 1/2) (* (pow (pow u1 1/4) 3) (pow (pow u1 1/4) 3)) (/ (* (pow (pow u1 1/4) 3) (pow (pow u1 1/4) 3)) u1) (pow (pow u1 1/4) 3) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (- 1 u1)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* 1/2 u1) 1) (sqrt (neg (log (- 1 u1)))))

simplify180.0ms (2.3%)

Memory

14.3MiB live, 285.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	326	1736
1	977	1445
2	3126	1322
0	8534	1264

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 74

Calls

Call 1

Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(sqrt u1)
(* 1/2 (log u1))
(sqrt (pow u1 3))
(pow (* 1 (pow u1 3)) 1/4)
1
(+ 1 (* 1/2 u1))
(* -1/2 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(* -1/2 (log (/ 1 u1)))
(* 1/2 u1)
(* u1 (+ 1/2 (/ 1 u1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 u1))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(cos (* 2 (* u2 (PI))))

Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (.f32 u1 u1)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 u1) #s(literal -1 binary32) (.f32 (.f32 (.f32 u1 u1) #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)))) (pow.f32 u1 #s(literal 3 binary32))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(-.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1)) (sqrt.f32 u1))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal -1/6 binary32) #s(literal -1/4 binary32)))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal -1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(sqrt u1)
(sqrt.f32 u1)
(* 1/2 (log u1))
(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
(sqrt (pow u1 3))
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(pow (* 1 (pow u1 3)) 1/4)
(pow.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/4 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 u1))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
(* -1/2 (pow u1 2))
(.f32 (.f32 u1 u1) #s(literal -1/2 binary32))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (.f32 (/.f32 #s(literal -1/2 binary32) u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) u1) (sqrt.f32 #s(literal -1 binary32)))))) (.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))) (.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(neg.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1)) u1))
(* 1/2 (pow u1 2))
(.f32 (.f32 #s(literal 1/2 binary32) u1) u1)
(* (pow u1 2) (+ 1/2 (/ 1 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* -1/2 (log (/ 1 u1)))
(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
(* 1/2 u1)
(*.f32 #s(literal 1/2 binary32) u1)
(* u1 (+ 1/2 (/ 1 u1)))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 (neg.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (.f32 (/.f32 #s(literal -1/2 binary32) u1) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 (neg.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))) u1) #s(literal -1/2 binary32) (.f32 (neg.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (.f32 (neg.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (+.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/3 binary32)) u1) (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)))) u1) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) u1))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32)) u1) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal 1/2 binary32)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/3 binary32)) u1) #s(literal -1/2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/4 binary32)))) u1)) u1))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1)) u1))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) u1) #s(literal -1 binary32)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (fma.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) u1) u1) #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* 1/2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 u1))))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -3/4 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/4 binary32)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))))) (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))

rewrite214.0ms (2.7%)

Memory

1.2MiB live, 240.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	293
0	77	249
1	194	241
2	913	240
3	7378	240
0	8238	220

Stop Event

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

Counts

25 → 792

Calls

Call 1

Inputs
(-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(*.f32 (log.f32 u1) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)))
(/.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
#s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1))

Outputs
(.f32 (/.f32 (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32)) (.f32 u1 u1)) (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 u1 u1 (.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(.f32 (/.f32 (-.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 u1 u1)) #s(literal 4 binary32)) (pow.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1)) #s(literal 2 binary32)))) (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (*.f32 u1 u1))))
(.f32 (/.f32 (-.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (pow.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 3 binary32)) #s(literal 1/64 binary32) (pow.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1)) #s(literal 3 binary32)))) (fma.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1)) (-.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1)) (.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32))) (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 u1 u1)) #s(literal 4 binary32))))
(.f32 (/.f32 (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32)) (.f32 u1 u1)) (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32)) (.f32 u1 u1))) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))))
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(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1)))) (-.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))))
(.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32)) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
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(.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1) (/.f32 (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)))
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(.f32 (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (*.f32 u1 u1))))))
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(.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))))
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(*.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 u1 u1)) #s(literal 4 binary32)) (pow.f32 u1 #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (*.f32 u1 u1)))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 u1 u1)) #s(literal 6 binary32)) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))) (+.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 u1 u1)) #s(literal 4 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 u1 u1)) #s(literal 6 binary32)) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1))))) (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 u1 u1)) #s(literal 9 binary32)) (pow.f32 u1 #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1))))) (fma.f32 (pow.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 3 binary32)) #s(literal 1/64 binary32) (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 9 binary32)) (pow.f32 u1 #s(literal 6 binary32)))))
(/.f32 (.f32 (-.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (*.f32 u1 u1))))
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(/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32))) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1)))) (/.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32))) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1))))) (.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1)))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1)))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32) (.f32 u1 u1))))))
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(/.f32 (fma.f32 #s(literal 1/512 binary32) (pow.f32 u1 #s(literal 9 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 u1 (-.f32 (.f32 #s(literal 1/4 binary32) u1) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 3 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 u1 (-.f32 (*.f32 #s(literal 1/4 binary32) u1) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u1 (-.f32 (*.f32 #s(literal 1/4 binary32) u1) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(-.f32 (.f32 (.f32 #s(literal 1/4 binary32) u1) (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) (fma.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 u1 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(fma.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(fma.f32 (*.f32 #s(literal 1/4 binary32) u1) (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) (/.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(fma.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(fma.f32 (.f32 #s(literal 1/2 binary32) u1) (/.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(fma.f32 u1 (/.f32 (*.f32 #s(literal 1/4 binary32) u1) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (.f32 (.f32 #s(literal 1/4 binary32) u1) (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32)))) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1))
(neg.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u1 (-.f32 (*.f32 #s(literal 1/4 binary32) u1) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(neg.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(neg.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 (-.f32 (*.f32 #s(literal 1/4 binary32) u1) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
#s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1))

eval110.0ms (1.4%)

Memory: -5.1MiB live, 192.7MiB allocated
Compiler: Compiled 25 565 to 3 897 computations (84.8% saved)

prune60.0ms (0.8%)

Memory

16.3MiB live, 141.4MiB allocated

Pruning

48 alts after pruning (40 fresh and 8 done)

	Pruned	Kept	Total
New	859	14	873
Fresh	3	26	29
Picked	1	4	5
Done	1	4	5
Total	864	48	912

Accuracy

98.8%

Counts

912 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.3%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.3%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	33.7%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	59.2%	(.f32 (sqrt.f32 (-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	53.6%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	53.5%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	55.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	33.4%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
✓	59.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
✓	59.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(approx (* (* u2 2) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))))
	16.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1 binary32) u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (.f32 u1 u1)) (.f32 #s(literal -1/2 binary32) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	8.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (+.f32 (pow.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (-.f32 (.f32 u1 u1) (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (neg.f32 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	5.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (.f32 u1 u1)) (.f32 #s(literal -1/2 binary32) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))) (-.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	88.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	88.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	64.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	64.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	56.7%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
	19.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	54.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.2%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (+.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.1%	(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
	6.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) #s(literal 0 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.1%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (pow.f32 u1 #s(literal 9/2 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	75.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.3%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.3%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	76.0%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 (/.f32 (sqrt.f32 u1) u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.3%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	4.3%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	73.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (-.f32 (.f32 (log.f32 u1) #s(literal 3/2 binary32)) (log.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	75.0%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 3 211 to 1 499 computations (53.3% saved)

regimes280.0ms (3.6%)

Memory

16.7MiB live, 329.8MiB allocated

Counts

76 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) #s(literal 0 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (+.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 (/.f32 (sqrt.f32 u1) u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1 binary32) u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 2) 1/4) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32))) (.f32 u1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (.f32 (log.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (pow.f32 u1 #s(literal 9/2 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (+.f32 (pow.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (-.f32 (.f32 u1 u1) (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (neg.f32 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (-.f32 (.f32 (log.f32 u1) #s(literal 3/2 binary32)) (log.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(approx (* (* u2 2) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (cbrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u2 #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32))) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (.f32 u1 u1)) (.f32 #s(literal -1/2 binary32) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1/4 binary32) (.f32 u1 u1)) (.f32 #s(literal -1/2 binary32) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))) (-.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 6 binary32))) (+.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) #s(literal 2 binary32))))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32)))))

(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

10 calls:

48.0ms	u1
41.0ms	(-.f32 #s(literal 1 binary32) u1)
37.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
31.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
21.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
88.3%	1	`cosTheta_i`
97.6%	2	`u1`
88.3%	1	`u2`
96.8%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
97.6%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.6%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.6%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.6%	2	`(-.f32 #s(literal 1 binary32) u1)`
88.3%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
88.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes124.0ms (1.6%)

Memory

6.3MiB live, 80.4MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) #s(literal 0 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (+.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 (/.f32 (sqrt.f32 u1) u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1 binary32) u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 2) 1/4) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32))) (.f32 u1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (log.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (.f32 (log.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (pow.f32 u1 #s(literal 9/2 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (+.f32 (pow.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (-.f32 (.f32 u1 u1) (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (neg.f32 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (.f32 (log.f32 (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (exp.f32 (-.f32 (.f32 (log.f32 u1) #s(literal 3/2 binary32)) (log.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(approx (* (* u2 2) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))

(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

5 calls:

43.0ms	(-.f32 #s(literal 1 binary32) u1)
39.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
14.0ms	u1
14.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
12.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
97.6%	2	`u1`
97.6%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.6%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.6%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.6%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes121.0ms (1.5%)

Memory

-4.1MiB live, 82.6MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) #s(literal 0 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (+.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 (/.f32 (sqrt.f32 u1) u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1 binary32) u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 2) 1/4) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32))) (.f32 u1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

5 calls:

63.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
28.0ms	(-.f32 #s(literal 1 binary32) u1)
10.0ms	u1
10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
9.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
97.5%	2	`u1`
97.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.5%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes164.0ms (2.1%)

Memory

-26.4MiB live, 127.7MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) #s(literal 0 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (+.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 (/.f32 (sqrt.f32 u1) u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1 binary32) u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 2) 1/4) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32))) (.f32 u1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

8 calls:

66.0ms	(-.f32 #s(literal 1 binary32) u1)
29.0ms	u2
16.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
15.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
9.0ms	u1

Results

Accuracy	Segments	Branch
88.3%	1	`u2`
88.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
88.3%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
88.3%	1	`u1`
88.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
88.3%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
88.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
88.3%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 38 to 53 computations (-39.5% saved)

regimes76.0ms (1%)

Memory

34.6MiB live, 108.8MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) #s(literal 0 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (+.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (+.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

10 calls:

24.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms	cosTheta_i
5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms	u2
5.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
88.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
88.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
88.1%	1	`cosTheta_i`
88.1%	1	`u1`
88.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
88.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
88.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
88.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
88.1%	1	`u2`
88.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes114.0ms (1.5%)

Memory

-1.1MiB live, 119.5MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) #s(literal 0 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))

Calls

10 calls:

35.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
33.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
11.0ms	(-.f32 #s(literal 1 binary32) u1)
5.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
5.0ms	u2

Results

Accuracy	Segments	Branch
76.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
76.1%	1	`cosTheta_i`
76.1%	1	`u1`
76.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
76.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
76.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
76.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
76.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
76.1%	1	`u2`
76.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes73.0ms (0.9%)

Memory

-3.6MiB live, 78.9MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) #s(literal 0 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Calls

10 calls:

39.0ms	(-.f32 #s(literal 1 binary32) u1)
6.0ms	cosTheta_i
4.0ms	u1
4.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
64.3%	1	`u1`
64.3%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
64.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
64.3%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
64.3%	1	`cosTheta_i`
64.3%	1	`u2`
64.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
64.3%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
64.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
64.3%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes14.0ms (0.2%)

Memory

2.0MiB live, 41.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Calls

10 calls:

2.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
1.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
1.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
1.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
4.3%	1	`cosTheta_i`
4.3%	1	`u2`
4.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
4.3%	1	`u1`
4.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
4.3%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
4.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
4.3%	1	`(-.f32 #s(literal 1 binary32) u1)`
4.3%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
4.3%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9968347549438477	0.9968705177307129

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9968347549438477	0.9968705177307129

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9968347549438477	0.9968705177307129

Compiler

Compiled 16 to 16 computations (0% saved)

simplify47.0ms (0.6%)

Memory

-19.5MiB live, 57.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	227
1	103	227
2	112	227
3	116	227

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1045273/1048576 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1045273/1048576 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1045273/1048576 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (+.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1045273/1048576 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1045273/1048576 binary32)) (.f32 (cos.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 #s(literal 2 binary32) (.f32 u2 (cbrt.f32 (PI.f32))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1)))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1045273/1048576 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1045273/1048576 binary32)) (.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) u1)))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1045273/1048576 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1045273/1048576 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) u1))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (+.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

soundness764.0ms (9.8%)

Memory

1.4MiB live, 708.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	293
0	77	249
1	194	241
2	913	240
3	7378	240
0	8238	220
0	42	188
0	75	165
1	166	163
2	630	163
3	4409	135
0	8742	134
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23
0	289	1577
1	858	1298
2	2729	1175
3	6882	1138
0	8137	1093
0	558	3245
1	1689	2733
2	5354	2692
0	8026	2552

Stop Event

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

Compiler

Compiled 583 to 410 computations (29.7% saved)

preprocess70.0ms (0.9%)

Memory

21.0MiB live, 96.5MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 248 to 760 computations (39.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	42	306
0	75	284
1	112	276
2	164	276
3	230	276
4	244	276
5	263	276
6	287	276
7	291	276
0	291	262

Iter	Nodes	Cost
0	42	306
0	75	284
1	112	276
2	164	276
3	230	276
4	244	276
5	263	276
6	287	276
7	291	276
0	291	262

start0.0ms (0%)

analyze287.0ms (3.7%)

sample2.0s (26.2%)

explain168.0ms (2.2%)

preprocess52.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize48.0ms (0.6%)

series51.0ms (0.7%)

simplify181.0ms (2.3%)

rewrite122.0ms (1.6%)

eval29.0ms (0.4%)

prune14.0ms (0.2%)

simplify11.0ms (0.1%)

localize122.0ms (1.6%)

series268.0ms (3.4%)

simplify155.0ms (2%)

rewrite133.0ms (1.7%)

eval93.0ms (1.2%)

prune37.0ms (0.5%)

simplify30.0ms (0.4%)

localize169.0ms (2.2%)

series217.0ms (2.8%)

simplify176.0ms (2.3%)

rewrite190.0ms (2.4%)

eval323.0ms (4.1%)

prune97.0ms (1.2%)

simplify123.0ms (1.6%)

localize125.0ms (1.6%)

series119.0ms (1.5%)

simplify180.0ms (2.3%)

rewrite214.0ms (2.7%)

eval110.0ms (1.4%)

prune60.0ms (0.8%)

regimes280.0ms (3.6%)

regimes124.0ms (1.6%)

regimes121.0ms (1.5%)

regimes164.0ms (2.1%)

regimes76.0ms (1%)

regimes114.0ms (1.5%)

regimes73.0ms (0.9%)

regimes14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify47.0ms (0.6%)

soundness764.0ms (9.8%)

preprocess70.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	42	306
0	75	284
1	112	276
2	164	276
3	230	276
4	244	276
5	263	276
6	287	276
7	291	276
0	291	262