Metrics for Beckmann Sample, near normal, slope

analyze336.0ms (2.4%)

Memory

2.6MiB live, 442.1MiB 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 28 computations (24.3% saved)

sample2.2s (15.4%)

Memory

20.8MiB live, 3 067.4MiB allocated

Samples

1.7s	8 256×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

const: 492.0ms (33.8% of total)

ival-<=: 252.0ms (17.3% of total)

ival-mult: 216.0ms (14.9% of total)

ival-log: 146.0ms (10% of total)

ival-sin: 106.0ms (7.3% of total)

ival-sub: 56.0ms (3.9% of total)

ival-sqrt: 55.0ms (3.8% of total)

ival-neg: 34.0ms (2.3% of total)

ival-and: 32.0ms (2.2% of total)

ival-pi: 29.0ms (2% of total)

ival->: 25.0ms (1.7% of total)

exact: 9.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess52.0ms (0.4%)

Memory

21.6MiB live, 59.3MiB allocated

Algorithm

1×	egg-herbie

Rules

492×	`unsub-neg`
330×	`associate-r`
316×	`distribute-lft-in`
272×	`associate-l`
242×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	122
1	99	117
2	190	117
3	353	117
4	632	117
5	1016	117
6	1275	117
7	1572	117
8	2181	117
9	2238	117
10	2263	117
11	2271	117
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)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Symmetry

(abs cosTheta_i)

(negabs u2)

explain185.0ms (1.3%)

Memory

14.5MiB live, 251.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
211	2	(0.9999496936798096 0.004521133843809366 5.713337358770332e-9)	7	(0.9999174475669861 0.019384294748306274 0.18413612246513367)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	1	(0.9999954700469971 0.04510048031806946 0.4966607987880707)	`(sin.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)))) (sin.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	206	16

Confusion

	Predicted +	Predicted -
+	202	1
-	4	49

Precision

0.9805825242718447

Recall

0.9950738916256158

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	202	1	0
-	4	16	33

Precision?

0.9103139013452914

Recall?

1.0

Freqs

test

number	freq
0	50
1	206

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-log: 16.0ms (34.5% of total)

ival-mult: 13.0ms (28% of total)

ival-sin: 7.0ms (15.1% of total)

ival-sub: 3.0ms (6.5% of total)

ival-sqrt: 3.0ms (6.5% of total)

ival-pi: 2.0ms (4.3% of total)

ival-neg: 2.0ms (4.3% of total)

exact: 1.0ms (2.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify9.0ms (0.1%)

Memory

-20.9MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Rules

40×	`lower-*.f64`
34×	`lower-*.f32`
32×	`lower-+.f64`
32×	`lower-+.f32`
24×	`lower--.f64`

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

localize47.0ms (0.3%)

Memory

22.6MiB live, 101.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	56.0%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

30.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sin: 7.0ms (32.4% of total)

ival-mult: 5.0ms (23.1% of total)

ival-log: 4.0ms (18.5% of total)

ival-sqrt: 2.0ms (9.3% of total)

ival-pi: 1.0ms (4.6% of total)

ival-sub: 1.0ms (4.6% of total)

ival-neg: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory

-3.9MiB live, 111.1MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#<alt (log.f32 (-.f32 #s(literal 1 binary32) u1))>
#<alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))>
#<alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))>

Outputs
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (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))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>

Calls

21 calls:

Time	Variable		Point	Expression
29.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))

simplify440.0ms (3.1%)

Memory

-15.9MiB live, 704.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 834×	`lower-fma.f64`
9 834×	`lower-fma.f32`
6 112×	`lower-*.f64`
6 112×	`lower-*.f32`
3 744×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	318	1889
1	971	1610
2	3142	1483
3	7433	1469
0	8011	1412

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

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))
(+ (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 (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)))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (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 -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)))))))))
(* (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)))
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 (+ (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 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))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))

Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 u1))))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (neg.f32 u1))))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (neg.f32 (log.f32 (neg.f32 u1))))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(neg.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) u1) (log.f32 (neg.f32 u1))))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (.f32 u1 u1) #s(literal -1 binary32)))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32) (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1)))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (*.f32 u1 u1)) (neg.f32 (sqrt.f32 u1)))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))) (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
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(.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 u2 u2) #s(literal 4/15 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))) (.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))

rewrite250.0ms (1.8%)

Memory

38.8MiB live, 422.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 418×	`lower-*.f64`
3 412×	`lower-*.f32`
2 090×	`lower-fma.f64`
2 090×	`lower-fma.f32`
2 024×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	22	39
1	65	39
2	319	39
3	2336	37
0	8633	29

Stop Event

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

Counts

6 → 234

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)))) (sin.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)
(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

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

eval37.0ms (0.3%)

Memory: -17.7MiB live, 95.5MiB allocated
Compiler: Compiled 7 416 to 1 398 computations (81.1% saved)

prune89.0ms (0.6%)

Memory

-36.7MiB live, 202.3MiB allocated

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	285	32	317
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	285	33	318

Accuracy

99.1%

Counts

318 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.4%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.5%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.5%	(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 2 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
	86.6%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.1%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.1%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (neg.f32 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.5%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.1%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.8%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (log1p.f32 (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	55.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.6%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.6%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	98.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	58.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (.f32 u2 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))))
▶	58.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
	58.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	58.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
	49.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
▶	93.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.4%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	4.0%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 1 656 to 1 152 computations (30.4% saved)

simplify316.0ms (2.3%)

Memory

-0.3MiB live, 275.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
✓	cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	64	(neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
✓	cost-diff	64	(+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))
✓	cost-diff	64	(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))
✓	cost-diff	96	(log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
✓	cost-diff	0	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
✓	cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.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))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

6 052×	`lower-fma.f64`
6 044×	`lower-fma.f32`
1 656×	`lower-*.f64`
1 630×	`lower-*.f32`
1 520×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	481
0	108	443
1	192	436
2	381	433
3	788	433
4	1334	433
5	2514	433
6	4663	433
7	5430	433
8	5467	433
9	5468	433
10	5468	433
11	5637	433
12	5705	433
13	5705	433
14	5709	433
0	5709	418

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize255.0ms (1.8%)

Memory

26.6MiB live, 461.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
✓	accuracy	98.5%	(.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
✓	accuracy	96.9%	(pow.f32 (PI.f32) #s(literal 2/3 binary32))
✓	accuracy	56.0%	(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	53.4%	(log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
✓	accuracy	23.1%	(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.1%	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	95.0%	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	accuracy	99.4%	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	3.5%	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
✓	accuracy	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.4%	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Samples

95.0ms	110×	1	valid
72.0ms	146×	0	valid

Compiler

Compiled 449 to 57 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 34.0ms (27.1% of total)

ival-log: 16.0ms (12.8% of total)

const: 10.0ms (8% of total)

ival-neg: 10.0ms (8% of total)

adjust: 9.0ms (7.2% of total)

ival-add: 9.0ms (7.2% of total)

ival-sin: 9.0ms (7.2% of total)

ival-sqrt: 7.0ms (5.6% of total)

ival-pow: 7.0ms (5.6% of total)

ival-pi: 4.0ms (3.2% of total)

ival-sub: 3.0ms (2.4% of total)

ival-fabs: 2.0ms (1.6% of total)

ival-cbrt: 2.0ms (1.6% of total)

ival-log1p: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series110.0ms (0.8%)

Memory

-2.1MiB live, 71.3MiB allocated

Counts

27 → 372

Calls

Call 1

Inputs
#<alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))>
#<alt (neg.f32 (log1p.f32 (neg.f32 u1)))>
#<alt (log1p.f32 (neg.f32 u1))>
#<alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))>
#<alt (neg.f32 (sqrt.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))>
#<alt (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))>
#<alt #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))>
#<alt (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))>
#<alt (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))>
#<alt (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))>
#<alt (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))>
#<alt (log.f32 (-.f32 #s(literal 1 binary32) u1))>
#<alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))>
#<alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))>
#<alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))>
#<alt (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))>
#<alt (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))>
#<alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (pow.f32 (PI.f32) #s(literal 2/3 binary32))>
#<alt (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))>

Outputs
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (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))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (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))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
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#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
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#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
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#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
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#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
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#<alt (+ (* -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)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
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#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (* -1/4 (pow u1 4))>
#<alt (* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/2 (/ 1 u1)) (pow u1 2))) (+ 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* -1/4 (pow u1 4))>
#<alt (* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4))>
#<alt (* -1 (pow u1 3))>
#<alt (* (pow u1 3) (- (* -1/2 (pow u1 3)) 1))>
#<alt (* (pow u1 3) (- (* (pow u1 3) (- (* -1/3 (pow u1 3)) 1/2)) 1))>
#<alt (* (pow u1 3) (- (* (pow u1 3) (- (* (pow u1 3) (- (* -1/4 (pow u1 3)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -3 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (/ 1 (pow u1 3)))>
#<alt (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 3)))) (pow u1 3)))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 3)))) (pow u1 6))))) (/ 1 (pow u1 3)))>
#<alt (* -3 (log (/ -1 u1)))>
#<alt (- (* -3 (log (/ -1 u1))) (/ 1 (pow u1 3)))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 3)))) (pow u1 3))))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 6)) (* 1/2 (/ 1 (pow u1 3))))) (pow u1 3))))>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))>
#<alt (* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))))))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>
#<alt (* 2 (* u2 (cbrt (pow (PI) 2))))>

Calls

93 calls:

Time	Variable		Point	Expression
74.0ms	u2	@	inf	(* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2)))
11.0ms	u1	@	0	(log (neg (+ -1 (* u1 (* u1 u1)))))
3.0ms	u2	@	0	(* (* 2 u2) (pow (PI) 2/3))
2.0ms	u1	@	-inf	(* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2)))
2.0ms	u2	@	0	(* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2)))

simplify408.0ms (2.9%)

Memory

23.1MiB live, 695.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 662×	`lower-fma.f64`
9 662×	`lower-fma.f32`
7 694×	`lower-*.f64`
7 694×	`lower-*.f32`
3 450×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	556	8797
1	1704	7439
2	5553	7321
0	8403	6922

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 367

Calls

Call 1

Inputs
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (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 -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)))))))))
(* (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)))
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 (+ (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)))))
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Outputs
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (neg.f32 (sqrt.f32 u1)))
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(fma.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (log.f32 u1) (-.f32 (.f32 (log.f32 u1) #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (fma.f32 #s(literal 2 binary32) (log.f32 u1) (-.f32 (.f32 (log.f32 u1) #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32)))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (log.f32 u1) (-.f32 (.f32 (log.f32 u1) #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) u1) (.f32 #s(literal 1/2 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (fma.f32 #s(literal 2 binary32) (log.f32 u1) (-.f32 (.f32 (log.f32 u1) #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32)))))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (.f32 u1 u1))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (fma.f32 #s(literal 2 binary32) (log.f32 u1) (-.f32 (*.f32 (log.f32 u1) #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32)))))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (fma.f32 #s(literal 2 binary32) (log.f32 u1) (-.f32 (.f32 (log.f32 u1) #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))) #s(literal -1/4 binary32)) (fma.f32 #s(literal 2 binary32) (log.f32 u1) (-.f32 (.f32 (log.f32 u1) #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (log.f32 u1) (-.f32 (.f32 (log.f32 u1) #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32)))))) (.f32 u1 (.f32 u1 u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (log.f32 u1) (-.f32 (.f32 (log.f32 u1) #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) u1) (.f32 #s(literal 1/2 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (fma.f32 #s(literal 2 binary32) (log.f32 u1) (-.f32 (.f32 (log.f32 u1) #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32)))))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (.f32 u1 u1))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (fma.f32 #s(literal 2 binary32) (log.f32 u1) (-.f32 (.f32 (log.f32 u1) #s(literal -3 binary32)) (log.f32 #s(literal -1 binary32))))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
(+ (* 1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1)))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (sin (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (sin (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1)))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (.f32 (fma.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 #s(literal -1/2 binary32) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 1/3 binary32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) u1))))) u1)) (neg.f32 u1)))
(* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))))))
(.f32 u2 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))))))))))
(.f32 u2 (fma.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 u2)))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 u1 (neg.f32 u1)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 u1 (neg.f32 u1)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 u1 (neg.f32 u1)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 u1 (neg.f32 u1)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 u1 (neg.f32 u1)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 u1 (neg.f32 u1)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 u1 (neg.f32 u1)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 u1 (neg.f32 u1)))))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 2 binary32) u2))

rewrite592.0ms (4.2%)

Memory

2.3MiB live, 558.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 124×	`lower-fma.f64`
4 116×	`lower-fma.f32`
3 498×	`lower-*.f64`
3 476×	`lower-*.f32`
2 988×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	283
0	108	228
1	327	227
2	2015	227
0	8853	207

Stop Event

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

Counts

27 → 603

Calls

Call 1

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

Outputs
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 1/2 binary32))
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(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/9 binary32)) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (pow.f32 (PI.f32) #s(literal 4/9 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (cbrt.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/9 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/9 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/9 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32)) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(.f32 (cbrt.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/9 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(.f32 #s(literal 2 binary32) (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(.f32 u2 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 #s(literal 2 binary32) u2))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) u2)

eval218.0ms (1.6%)

Memory: -17.8MiB live, 212.1MiB allocated
Compiler: Compiled 36 982 to 3 420 computations (90.8% saved)

prune303.0ms (2.2%)

Memory

5.7MiB live, 353.1MiB allocated

Pruning

51 alts after pruning (48 fresh and 3 done)

	Pruned	Kept	Total
New	1 054	39	1 093
Fresh	18	9	27
Picked	3	2	5
Done	0	1	1
Total	1 075	51	1 126

Accuracy

99.6%

Counts

1 126 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.8%	(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.8%	(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.9%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.1%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (neg.f32 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (neg (+ -1 ( u1 (* u1 u1))))) (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (neg (+ -1 ( u1 (* u1 u1))))) (.f32 u1 (.f32 u1 (neg.f32 u1)))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.6%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	97.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))))))
	97.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	98.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
	86.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	58.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	58.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
	49.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
	94.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))) (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (fma.f32 u1 u1 (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))))) (.f32 u1 u1)) (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	94.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
	93.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	93.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
	88.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	85.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	82.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	92.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
	89.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
	93.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) (.f32 u1 u1)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/3 binary32) u1)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
▶	91.9%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	91.1%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))))
	93.7%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (.f32 #s(literal 1/6 binary32) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) #s(literal 1/4 binary32)))))))
	79.6%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
	76.7%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))
▶	89.1%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
	92.4%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 u2 (fma.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))))
	86.0%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 u2 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))

Compiler

Compiled 3 252 to 1 962 computations (39.7% saved)

simplify528.0ms (3.8%)

Memory

-14.3MiB live, 414.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
✓	cost-diff	0	(.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))
✓	cost-diff	0	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	6240	(exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32)))
✓	cost-diff	0	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
✓	cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
✓	cost-diff	0	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
✓	cost-diff	0	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
✓	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 (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))

Rules

11 480×	`lower-fma.f64`
11 472×	`lower-fma.f32`
2 724×	`lower-*.f64`
2 692×	`lower-*.f32`
2 508×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	576
0	114	545
1	219	543
2	435	542
3	879	542
4	1433	542
5	2602	542
6	4744	542
7	5536	542
8	5586	542
9	5602	542
10	5619	542
11	5843	542
12	5959	542
13	6019	542
14	6096	542
15	6167	542
16	6198	542
17	6243	542
18	6390	542
19	6503	542
20	6551	542
21	6606	542
22	7163	542
23	7497	542
24	7871	542
0	8163	538

Stop Event

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

Calls

Call 1

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

localize319.0ms (2.3%)

Memory

9.8MiB live, 331.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	accuracy	98.8%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	96.5%	(exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32)))
✓	accuracy	95.0%	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	99.1%	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
✓	accuracy	95.0%	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	accuracy	99.2%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	99.1%	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
✓	accuracy	98.9%	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
✓	accuracy	90.3%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
✓	accuracy	99.1%	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
✓	accuracy	98.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
✓	accuracy	80.4%	#s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))
✓	accuracy	3.5%	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
✓	accuracy	99.6%	(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
✓	accuracy	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.1%	(*.f32 (PI.f32) u2)
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))

Samples

193.0ms

256×

valid

Compiler

Compiled 438 to 67 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-mult: 80.0ms (48.9% of total)

ival-add: 26.0ms (15.9% of total)

ival-log: 15.0ms (9.2% of total)

ival-sqrt: 10.0ms (6.1% of total)

ival-sin: 9.0ms (5.5% of total)

ival-neg: 8.0ms (4.9% of total)

const: 4.0ms (2.4% of total)

ival-exp: 3.0ms (1.8% of total)

ival-sub: 2.0ms (1.2% of total)

ival-log1p: 2.0ms (1.2% of total)

ival-cos: 2.0ms (1.2% of total)

ival-pi: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series106.0ms (0.8%)

Memory

8.2MiB live, 88.2MiB allocated

Counts

25 → 372

Calls

Call 1

Inputs
#<alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))>
#<alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))>
#<alt (neg.f32 (log1p.f32 (neg.f32 u1)))>
#<alt (log1p.f32 (neg.f32 u1))>
#<alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))>
#<alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))>
#<alt (neg.f32 (sqrt.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt #s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))>
#<alt (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))>
#<alt (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))>
#<alt (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))>
#<alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))>
#<alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))>
#<alt (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))>
#<alt #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))>
#<alt (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32)))>
#<alt (.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))>
#<alt (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))>
#<alt (*.f32 (PI.f32) u2)>
#<alt (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))>
#<alt #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))>
#<alt (.f32 u1 (.f32 u1 u1))>
#<alt (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))>

Outputs
#<alt (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
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#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
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#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* 1/2 (log u1))>
#<alt (+ (* 1/4 u1) (* 1/2 (log u1)))>
#<alt (+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* 5/48 u1))))>
#<alt (+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* u1 (+ 5/48 (* 1/16 u1))))))>
#<alt (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (- (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1))))))) (* 1/2 (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (- (+ (* -1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2))) (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))))) (/ 1/2 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (- (+ (* -1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2))) (+ (* -1/12 (/ (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3))) (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1))))))))) (/ 1/2 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (* 1/2 (log (neg (* -1 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (log (neg (* -1 (log (/ -1 u1)))))) (* 1/2 (/ 1 (* u1 (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (- (* -1/4 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (* 1/2 (/ 1 (log (/ -1 u1))))) u1)) (* 1/2 (log (neg (* -1 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/12 (/ (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))) u1)) (* 1/4 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))))) u1)) (* 1/2 (/ 1 (log (/ -1 u1))))) u1)) (* 1/2 (log (neg (* -1 (log (/ -1 u1)))))))>
#<alt (log u1)>
#<alt (+ (log u1) (* 1/2 u1))>
#<alt (+ (log u1) (* u1 (+ 1/2 (* 5/24 u1))))>
#<alt (+ (log u1) (* u1 (+ 1/2 (* u1 (+ 5/24 (* 1/8 u1))))))>
#<alt (log (neg (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (- (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (- (+ (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))) (* -1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2)))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (- (+ (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))) (+ (* -1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2))) (* -1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))))) (pow u1 3))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (log (neg (* -1 (log (/ -1 u1)))))>
#<alt (+ (log (neg (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (log (/ -1 u1)))))>
#<alt (+ (log (neg (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1/2 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (/ 1 (log (/ -1 u1)))) u1)))>
#<alt (+ (log (neg (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))) u1)) (* 1/2 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))))) u1)) (/ 1 (log (/ -1 u1)))) u1)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))>
#<alt (* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))>
#<alt (* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow u2 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))>
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#<alt (* (cos (* u2 (PI))) (sin (* u2 (PI))))>
#<alt (* (cos (* u2 (PI))) (sin (* u2 (PI))))>
#<alt (* (cos (* u2 (PI))) (sin (* u2 (PI))))>
#<alt (* (cos (* u2 (PI))) (sin (* u2 (PI))))>
#<alt (* (cos (* u2 (PI))) (sin (* u2 (PI))))>
#<alt (* (cos (* u2 (PI))) (sin (* u2 (PI))))>
#<alt (* (cos (* u2 (PI))) (sin (* u2 (PI))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
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#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (* -1/4 (pow u1 4))>
#<alt (* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/2 (/ 1 u1)) (pow u1 2))) (+ 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* -1/4 (pow u1 4))>
#<alt (* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))>
#<alt (* (pow u1 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4))>

Calls

93 calls:

Time	Variable		Point	Expression
40.0ms	u2	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (sin (* (PI) u2)) (cos (* (PI) u2)))))
38.0ms	u1	@	-inf	(log (neg (log (- 1 u1))))
2.0ms	u2	@	-inf	(* (sin (* (PI) u2)) (cos (* (PI) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (sin (* (PI) u2)) (cos (* (PI) u2)))))
1.0ms	u1	@	-inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (sin (* (PI) u2)) (cos (* (PI) u2)))))

simplify608.0ms (4.3%)

Memory

-13.8MiB live, 779.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 106×	`lower-fma.f64`
9 106×	`lower-fma.f32`
7 626×	`lower-*.f64`
7 626×	`lower-*.f32`
4 370×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	846	9799
1	2752	8274
0	8300	7877

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 370

Calls

Call 1

Inputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* (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 -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)))))))))
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(+ (log (neg (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1/2 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (/ 1 (log (/ -1 u1)))) u1)))
(+ (log (neg (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))) u1)) (* 1/2 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))))) u1)) (/ 1 (log (/ -1 u1)))) u1)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow u2 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(* -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))
(* -1/4 (pow u1 4))
(* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(* (pow u1 4) (- (* -1 (/ (+ 1/2 (/ 1 u1)) (pow u1 2))) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* -1/4 (pow u1 4))
(* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4))

Outputs
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32)))) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))
(fma.f32 (.f32 u1 u1) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/3 binary32) (sqrt.f32 u1)))) (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32)))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (neg.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal -1 binary32)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(.f32 (.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (neg.f32 (.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (neg.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (neg.f32 (/.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 u1 u1)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(fma.f32 (/.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 u1 (.f32 u1 u1))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (neg.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (neg.f32 (/.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 u1 u1)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(fma.f32 #s(literal 2 binary32) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(-.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (+.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (sin.f32 (.f32 u2 (PI.f32))) u1)))) u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))
(fma.f32 #s(literal 2 binary32) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal -1 binary32))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (fma.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (neg.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (cos.f32 (.f32 u2 (PI.f32))) u1))))) (neg.f32 u1))) (neg.f32 u1)))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(.f32 (.f32 u2 #s(literal 2 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -2/3 binary32)))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 2/15 binary32)))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
(.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -2/3 binary32)))) (.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) #s(literal 2 binary32)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 2/15 binary32) (.f32 (.f32 u2 u2) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/630 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/90 binary32)))))))))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
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(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
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(* (sin (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))
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(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
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(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
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(* 2 (* u2 (PI)))
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(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
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(sin (* 2 (* u2 (PI))))
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(sin (* 2 (* u2 (PI))))
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(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))
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(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
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(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
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(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
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(*.f32 #s(literal 1/2 binary32) (log.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(- (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1))))))) (* 1/2 (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal 1/2 binary32) (log.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(- (+ (* -1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2))) (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))))) (/ 1/2 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)))) (.f32 u1 u1)) (fma.f32 #s(literal 1/2 binary32) (log.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 #s(literal -1/2 binary32) (.f32 u1 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(- (+ (* -1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2))) (+ (* -1/12 (/ (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3))) (* 1/2 (log (neg (+ (log -1) (* -1 (log (/ 1 u1))))))))) (/ 1/2 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)))) (.f32 u1 u1)) (fma.f32 #s(literal -1/12 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 u1 (.f32 u1 u1))) (fma.f32 #s(literal 1/2 binary32) (log.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 #s(literal -1/2 binary32) (.f32 u1 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))))
(* 1/2 (log (neg (* -1 (log (/ -1 u1))))))
(*.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* 1/2 (log (neg (* -1 (log (/ -1 u1)))))) (* 1/2 (/ 1 (* u1 (log (/ -1 u1))))))
(fma.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (* -1 (/ (- (* -1/4 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (* 1/2 (/ 1 (log (/ -1 u1))))) u1)) (* 1/2 (log (neg (* -1 (log (/ -1 u1)))))))
(fma.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (.f32 u1 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))))) (/.f32 #s(literal -1/2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (neg.f32 u1)))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/12 (/ (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))) u1)) (* 1/4 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))))) u1)) (* 1/2 (/ 1 (log (/ -1 u1))))) u1)) (* 1/2 (log (neg (* -1 (log (/ -1 u1)))))))
(-.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (-.f32 (/.f32 (neg.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32))))) u1) (.f32 #s(literal 1/4 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))))))) (.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) (.f32 u1 (log.f32 (/.f32 #s(literal -1 binary32) u1))))))
(log u1)
(log.f32 u1)
(+ (log u1) (* 1/2 u1))
(fma.f32 u1 #s(literal 1/2 binary32) (log.f32 u1))
(+ (log u1) (* u1 (+ 1/2 (* 5/24 u1))))
(fma.f32 u1 (fma.f32 u1 #s(literal 5/24 binary32) #s(literal 1/2 binary32)) (log.f32 u1))
(+ (log u1) (* u1 (+ 1/2 (* u1 (+ 5/24 (* 1/8 u1))))))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/8 binary32) #s(literal 5/24 binary32)) #s(literal 1/2 binary32)) (log.f32 u1))
(log (neg (+ (log -1) (* -1 (log (/ 1 u1))))))
(log.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(- (+ (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))) (* -1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2)))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)))) (.f32 u1 u1)) (-.f32 (log.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(- (+ (log (neg (+ (log -1) (* -1 (log (/ 1 u1)))))) (+ (* -1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (pow u1 2))) (* -1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3))))) (pow u1 3))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+.f32 (log.f32 (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 u1 (.f32 u1 u1))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) #s(literal 2 binary32)))) (.f32 u1 u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))))
(log (neg (* -1 (log (/ -1 u1)))))
(log.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log (neg (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (log (/ -1 u1)))))
(+.f32 (log.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (log (neg (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1/2 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) u1)) (/ 1 (log (/ -1 u1)))) u1)))
(-.f32 (log.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (.f32 u1 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))))) (/.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1))
(+ (log (neg (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))) u1)) (* 1/2 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))))) u1)) (/ 1 (log (/ -1 u1)))) u1)))
(-.f32 (log.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (-.f32 (/.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32))))) u1) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32))))))) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (log.f32 (/.f32 #s(literal -1 binary32) u1))))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32)))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 2/15 binary32)) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))) (PI.f32)))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow u2 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 2/15 binary32) (.f32 (.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/630 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/90 binary32))))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))) (PI.f32)))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 #s(literal -8/315 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) u2) u2) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(pow u1 3)
(.f32 u1 (.f32 u1 u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* -1/4 (pow u1 4))
(*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))
(*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (neg.f32 (pow.f32 u1 #s(literal 4 binary32))))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1))))
(* (pow u1 4) (- (* -1 (/ (+ 1/2 (/ 1 u1)) (pow u1 2))) (+ 1/4 (* 1/3 (/ 1 u1)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* -1/4 (pow u1 4))
(*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))
(*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (neg.f32 (pow.f32 u1 #s(literal 4 binary32))))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1))))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (neg.f32 u1))))

rewrite297.0ms (2.1%)

Memory

-13.6MiB live, 753.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 328×	`lower-fma.f64`
4 320×	`lower-fma.f32`
3 822×	`lower-*.f64`
3 792×	`lower-*.f32`
3 056×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	359
0	114	322
1	372	308
2	2381	308
0	9029	293

Stop Event

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

Counts

25 → 405

Calls

Call 1

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

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

eval124.0ms (0.9%)

Memory: 12.1MiB live, 325.2MiB allocated
Compiler: Compiled 30 698 to 2 630 computations (91.4% saved)

prune202.0ms (1.4%)

Memory

26.3MiB live, 508.7MiB allocated

Pruning

61 alts after pruning (58 fresh and 3 done)

	Pruned	Kept	Total
New	967	32	999
Fresh	17	26	43
Picked	4	1	5
Done	1	2	3
Total	989	61	1 050

Accuracy

99.9%

Counts

1 050 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.5%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
	89.0%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	93.8%	(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (neg (+ -1 ( u1 (* u1 u1))))) (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (neg (+ -1 ( u1 (* u1 u1))))) (.f32 u1 (.f32 u1 (neg.f32 u1)))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.6%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	86.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32))))))
	79.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) u2)) (cos (* (PI) u2))) (*.f32 u2 (PI.f32)))))
	97.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))))))
▶	97.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	98.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	58.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
	49.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
	94.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))) (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (fma.f32 u1 u1 (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))))) (.f32 u1 u1)) (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	94.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 0 binary32))))))
	85.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 2/15 binary32)) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))) (PI.f32))))))
	82.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32))))))
	76.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (*.f32 u2 (PI.f32)))))
	93.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	93.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	88.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	92.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
▶	89.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
	94.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
	89.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
	88.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
	89.2%	(.f32 (exp.f32 (.f32 (-.f32 (log.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (log.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.0%	(.f32 (exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.1%	(.f32 (exp.f32 (.f32 #s(approx (log (neg (log (- 1 u1)))) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/8 binary32) #s(literal 5/24 binary32)) #s(literal 1/2 binary32)) (log.f32 u1))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.4%	(.f32 (exp.f32 (.f32 #s(approx (log (neg (log (- 1 u1)))) (fma.f32 u1 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
▶	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	93.5%	(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.7%	(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.2%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
	88.9%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (.f32 (.f32 u1 (sqrt.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) #s(literal 3 binary32)) (pow.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) #s(literal 2 binary32)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))))
	88.9%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))) #s(literal 1/64 binary32) (.f32 u1 (sqrt.f32 u1))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) u1) (.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)))))
	89.3%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32)) (sqrt.f32 u1))))
	89.1%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
	89.2%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (.f32 (cos.f32 (.f32 (PI.f32) u2)) (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)))))
	88.8%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))))
	78.7%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
	74.0%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
	92.4%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 u2 (fma.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))))
	86.0%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 u2 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
	89.1%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) #s(approx (* (sin (* (PI) (* 2 u2))) (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))) (.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
	78.7%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) #s(approx (* (sin (* (PI) (* 2 u2))) (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))))

Compiler

Compiled 3 859 to 2 276 computations (41% saved)

simplify314.0ms (2.2%)

Memory

-22.1MiB live, 615.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(*.f32 #s(literal 2 binary32) (PI.f32))
✓	cost-diff	96	(+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
✓	cost-diff	896	(.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
✓	cost-diff	1152	(sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
✓	cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(*.f32 #s(literal 2 binary32) (PI.f32))
✓	cost-diff	1632	(/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
✓	cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))
✓	cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(*.f32 #s(literal 2 binary32) (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))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
✓	cost-diff	64	(*.f32 #s(literal 2 binary32) u2)

Rules

12 306×	`lower-fma.f64`
12 292×	`lower-fma.f32`
5 282×	`lower-*.f64`
5 246×	`lower-*.f32`
3 010×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	1215
0	124	937
1	226	934
2	420	883
3	972	875
4	3874	735
5	5414	735
0	8071	735

Stop Event

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

Calls

Call 1

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

localize313.0ms (2.2%)

Memory

37.3MiB live, 383.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	98.7%	(fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
✓	accuracy	98.7%	(.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
✓	accuracy	95.0%	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	accuracy	99.1%	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	95.0%	#s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
✓	accuracy	99.1%	(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	89.1%	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))
✓	accuracy	99.1%	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	accuracy	98.8%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
✓	accuracy	80.4%	#s(approx (sin (* (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2)))
✓	accuracy	3.5%	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
✓	accuracy	98.8%	(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
✓	accuracy	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
✓	accuracy	98.5%	(.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
✓	accuracy	96.9%	(pow.f32 (PI.f32) #s(literal 2/3 binary32))

Samples

176.0ms

256×

valid

Compiler

Compiled 643 to 64 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 34.0ms (33.5% of total)

const: 13.0ms (12.8% of total)

ival-sqrt: 10.0ms (9.9% of total)

ival-add: 10.0ms (9.9% of total)

ival-sin: 9.0ms (8.9% of total)

ival-pow: 5.0ms (4.9% of total)

ival-log: 4.0ms (3.9% of total)

ival-neg: 4.0ms (3.9% of total)

ival-div: 3.0ms (3% of total)

ival-log1p: 3.0ms (3% of total)

ival-sub: 2.0ms (2% of total)

ival-cbrt: 2.0ms (2% of total)

ival-pi: 1.0ms (1% of total)

ival-fabs: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series21.0ms (0.2%)

Memory

-8.5MiB live, 27.9MiB allocated

Counts

32 → 420

Calls

Call 1

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

Outputs
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
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#<alt (+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))>
#<alt (pow (log (/ -1 u1)) 2)>
#<alt (+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 u1))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))>
#<alt (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)>
#<alt (+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))>
#<alt (+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))>
#<alt (+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))>
#<alt (pow (log (/ -1 u1)) 2)>
#<alt (+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))>
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
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#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>

Calls

105 calls:

Time	Variable		Point	Expression
6.0ms	u1	@	inf	(+ 0 (+ (* (log (- 1 u1)) (log (- 1 u1))) (* 0 (log (- 1 u1)))))
0.0ms	u1	@	inf	(* u1 (+ (* u1 -1/2) -1))
0.0ms	u2	@	inf	(* 2 u2)
0.0ms	u1	@	inf	(/ (* (+ (* (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2) (* u1 (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)))) -1) u1) (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) 1))
0.0ms	u1	@	-inf	(+ 0 (+ (* (log (- 1 u1)) (log (- 1 u1))) (* 0 (log (- 1 u1)))))

simplify438.0ms (3.1%)

Memory

10.7MiB live, 638.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 712×	`lower-fma.f64`
13 712×	`lower-fma.f32`
6 748×	`lower-*.f64`
6 748×	`lower-*.f32`
5 334×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	9139
1	1262	7738
2	4086	7164
0	8028	6836

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 418

Calls

Call 1

Inputs
(* 2 u2)
(* 2 u2)
(* 2 u2)
(* 2 u2)
(* 2 u2)
(* 2 u2)
(* 2 u2)
(* 2 u2)
(* 2 u2)
(* 2 u2)
(* 2 u2)
(* 2 u2)
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (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 -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)))))))))
(* (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)))
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 (+ (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 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 u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
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(* 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 -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 (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)))
0
0
0
0
0
0
0
0
0
0
0
0
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 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))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))
(pow (log (/ -1 u1)) 2)
(+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* -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 -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 (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)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* -1/2 u1) 1))
(* -1/2 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* -1/2 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 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 -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 (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)))
(* -1/2 u1)
(* u1 (- (* -1/3 u1) 1/2))
(* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2))
(* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2))
(* -1/4 (pow u1 3))
(* -1 (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(* -1/4 (pow u1 3))
(* -1 (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* -1 (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))))
(* -1 (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 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 -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 (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)))
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 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))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))
(pow (log (/ -1 u1)) 2)
(+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 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))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))
(pow (log (/ -1 u1)) 2)
(+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))

Outputs
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* 2 u2)
(*.f32 #s(literal 2 binary32) u2)
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(neg.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (fma.f32 #s(literal -1/6 binary32) (.f32 u1 u1) #s(literal -1 binary32))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(fma.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (neg.f32 (sqrt.f32 u1)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1)))) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32) (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
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(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(fma.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 (neg.f32 (sqrt.f32 u1)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1)))) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32) (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) u1)))) (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) u1) (.f32 (.f32 #s(literal -1/2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (fma.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (neg.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (neg.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) u1) #s(literal 1 binary32)))) u1) (.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (neg.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal -1/4 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) u1)))) u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)))) u1)))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(.f32 u2 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(.f32 u2 (fma.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 u2 u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))

rewrite707.0ms (5%)

Memory

-128.7MiB live, 823.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 304×	`lower-*.f64`
4 272×	`lower-*.f32`
3 932×	`lower-fma.f64`
3 918×	`lower-fma.f32`
3 736×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	700
0	124	457
1	411	333
2	2712	324
0	9310	306

Stop Event

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

Counts

32 → 1 001

Calls

Call 1

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

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

eval269.0ms (1.9%)

Memory: 25.1MiB live, 519.7MiB allocated
Compiler: Compiled 167 313 to 6 910 computations (95.9% saved)

prune386.0ms (2.8%)

Memory

-17.0MiB live, 672.5MiB allocated

Pruning

64 alts after pruning (61 fresh and 3 done)

	Pruned	Kept	Total
New	1 886	18	1 904
Fresh	10	43	53
Picked	4	1	5
Done	1	2	3
Total	1 901	64	1 965

Accuracy

99.9%

Counts

1 965 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.5%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
	89.0%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.6%	(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (neg.f32 u1)) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.4%	(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 #s(approx (+ 0 (+ (* (log (- 1 u1)) (log (- 1 u1))) (* 0 (log (- 1 u1))))) (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.6%	(.f32 (/.f32 #s(literal 2 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))))
	93.7%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.7%	(.f32 (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (neg (+ -1 ( u1 (* u1 u1))))) (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (neg (+ -1 ( u1 (* u1 u1))))) (.f32 u1 (.f32 u1 (neg.f32 u1)))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.6%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	86.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32))))))
	79.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) u2)) (cos (* (PI) u2))) (*.f32 u2 (PI.f32)))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)))) (fma.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)) (-.f32 (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))))
	97.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))))
	98.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 u2 (+.f32 (PI.f32) (PI.f32)))))
✓	58.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
	49.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
	94.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 #s(approx ( u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 #s(approx ( u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (.f32 u1 #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 0 binary32))))))
	85.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 2/15 binary32)) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))) (PI.f32))))))
	82.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32))))))
	76.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (*.f32 u2 (PI.f32)))))
	93.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	88.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	92.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)))) (fma.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)) (-.f32 (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))) (.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))))))
	89.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32)))))
	94.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
	89.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
	89.2%	(.f32 (exp.f32 (.f32 (-.f32 (log.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (log.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.0%	(.f32 (exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.4%	(.f32 (exp.f32 (.f32 #s(approx (log (neg (log (- 1 u1)))) (fma.f32 u1 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
✓	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
	7.1%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) #s(literal 0 binary32))))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
	93.5%	(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.7%	(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.2%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
	88.9%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))) #s(literal 1/64 binary32) (.f32 u1 (sqrt.f32 u1))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) u1) (.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)))))
	89.3%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32)) (sqrt.f32 u1))))
	89.1%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
	89.2%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (.f32 (cos.f32 (.f32 (PI.f32) u2)) (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)))))
	88.8%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))))
	78.7%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
	74.0%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
	86.0%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 u2 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
	89.1%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) #s(approx (* (sin (* (PI) (* 2 u2))) (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))) (.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
	78.7%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) #s(approx (* (sin (* (PI) (* 2 u2))) (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))))

Compiler

Compiled 5 674 to 1 820 computations (67.9% saved)

regimes393.0ms (2.8%)

Memory

-8.4MiB live, 539.6MiB allocated

Counts

122 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) #s(literal 0 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (*.f32 u2 (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32))))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) #s(approx (* (sin (* (PI) (* 2 u2))) (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))
(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) u2)) (cos (* (PI) u2))) (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32)) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 0 binary32))))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) #s(approx (* (sin (* (PI) (* 2 u2))) (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))) (.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 #s(approx ( u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (.f32 u1 #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 2/15 binary32)) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 #s(approx ( u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))) (sin.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)))) (log1p.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (log1p.f32 (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (sin.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)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (.f32 u2 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
(.f32 (exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (neg.f32 (.f32 u1 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (.f32 #s(literal 1/6 binary32) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) #s(literal 1/4 binary32)))))))
(.f32 (exp.f32 (.f32 (-.f32 (log.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (log.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 u2 (fma.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (.f32 (.f32 u1 (sqrt.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) #s(literal 3 binary32)) (pow.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) #s(literal 2 binary32)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

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

Calls

10 calls:

55.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.0ms	(-.f32 #s(literal 1 binary32) u1)
47.0ms	u2
42.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
35.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta_i`
98.3%	1	`u1`
98.3%	1	`u2`
98.3%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.3%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.3%	1	`(-.f32 #s(literal 1 binary32) u1)`
98.3%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes330.0ms (2.4%)

Memory

-30.6MiB live, 404.5MiB allocated

Counts

86 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) #s(literal 0 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (*.f32 u2 (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32))))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) #s(approx (* (sin (* (PI) (* 2 u2))) (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))))
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#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (.f32 (cos.f32 (.f32 (PI.f32) u2)) (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)))))
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(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 u2 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 (neg.f32 u1)))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (neg (+ -1 ( u1 (* u1 u1))))) (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) (.f32 u1 u1)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/3 binary32) u1)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (neg.f32 u1)) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (fma.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))))) (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (fma.f32 u1 u1 (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 #s(approx (log (neg (log (- 1 u1)))) (fma.f32 u1 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)))) (fma.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)) (-.f32 (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 2 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(.f32 (exp.f32 (.f32 #s(approx (log (neg (log (- 1 u1)))) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/8 binary32) #s(literal 5/24 binary32)) #s(literal 1/2 binary32)) (log.f32 u1))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 u2 (+.f32 (PI.f32) (PI.f32)))))

Calls

10 calls:

51.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
48.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
40.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
38.0ms	u1
36.0ms	u2

Results

Accuracy	Segments	Branch
98.2%	1	`u1`
98.2%	1	`u2`
98.2%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.2%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.2%	1	`(-.f32 #s(literal 1 binary32) u1)`
98.2%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
98.2%	1	`cosTheta_i`
98.2%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.2%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes199.0ms (1.4%)

Memory

-3.9MiB live, 228.3MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) #s(literal 0 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (*.f32 u2 (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32))))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) #s(approx (* (sin (* (PI) (* 2 u2))) (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))
(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) u2)) (cos (* (PI) u2))) (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32)) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 0 binary32))))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) #s(approx (* (sin (* (PI) (* 2 u2))) (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))) (.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 #s(approx ( u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (.f32 u1 #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 2/15 binary32)) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 #s(approx ( u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))) #s(literal 1/64 binary32) (.f32 u1 (sqrt.f32 u1))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) u1) (.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32))))) (.f32 u1 u1)) (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)))) (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

Calls

10 calls:

30.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
22.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
22.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
19.0ms	u1
17.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
94.6%	1	`cosTheta_i`
94.6%	1	`u1`
94.6%	1	`u2`
94.6%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
94.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
94.6%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes247.0ms (1.8%)

Memory

-9.9MiB live, 240.3MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) #s(literal 0 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (*.f32 u2 (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32))))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 #s(approx (sin ( (PI) (* 2 u2))) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) #s(approx (* (sin (* (PI) (* 2 u2))) (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -4/3 binary32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))
(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) u2)) (cos (* (PI) u2))) (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (fma.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 u1)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32)) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) u1) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32)) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sin.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 0 binary32))))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) #s(approx (* (sin (* (PI) (* 2 u2))) (+ (* (sqrt (* u1 (* u1 u1))) 1/4) (sqrt u1))) (.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 #s(approx ( u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (.f32 u1 #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 #s(literal 2 binary32) #s(approx ( (sin (* (PI) u2)) (cos (* (PI) u2))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 2/15 binary32)) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -2/3 binary32))) (PI.f32))))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -4/3 binary32))) (*.f32 #s(literal 2 binary32) (PI.f32))))))

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

Calls

10 calls:

44.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
42.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
42.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
34.0ms	cosTheta_i
15.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
97.5%	2	`u1`
94.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
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)))`
97.2%	2	`u2`
94.0%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.2%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
94.0%	1	`cosTheta_i`
97.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.5%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes95.0ms (0.7%)

Memory

30.9MiB live, 109.7MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

38.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
26.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms	u1
10.0ms	(-.f32 #s(literal 1 binary32) u1)
9.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
97.4%	2	`u1`
97.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.4%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.4%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.4%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes202.0ms (1.4%)

Memory

-27.5MiB live, 93.5MiB allocated

Counts

36 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

128.0ms	(-.f32 #s(literal 1 binary32) u1)
11.0ms	u2
10.0ms	u1
10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
94.0%	1	`u2`
94.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
94.0%	1	`u1`
94.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.0%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 46 to 39 computations (15.2% saved)

regimes109.0ms (0.8%)

Memory

-0.3MiB live, 118.7MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

10 calls:

13.0ms	u2
10.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
9.0ms	cosTheta_i
8.0ms	u1
8.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
92.4%	1	`u1`
92.4%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
92.4%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
92.4%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
92.4%	1	`cosTheta_i`
92.4%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
95.9%	2	`u2`
92.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
92.4%	1	`(-.f32 #s(literal 1 binary32) u1)`
95.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes110.0ms (0.8%)

Memory

25.9MiB live, 101.4MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

30.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
20.0ms	cosTheta_i
8.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	u1

Results

Accuracy	Segments	Branch
93.1%	2	`u1`
93.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
93.1%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.1%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
93.1%	2	`(-.f32 #s(literal 1 binary32) u1)`
89.0%	1	`cosTheta_i`
89.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
92.7%	2	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.3%	2	`u2`
94.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes15.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	u2

Results

Accuracy	Segments	Branch
94.3%	2	`u2`
94.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes109.0ms (0.8%)

Memory

-22.5MiB live, 98.1MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

29.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
24.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
7.0ms	u2
7.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
82.4%	1	`cosTheta_i`
82.4%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
88.3%	2	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
86.8%	2	`u1`
86.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
86.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
86.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
86.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
90.0%	2	`u2`
90.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes48.0ms (0.3%)

Memory

24.4MiB live, 61.8MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
82.4%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
82.4%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
82.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
82.4%	1	`(-.f32 #s(literal 1 binary32) u1)`
82.4%	1	`u1`
82.4%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
82.4%	1	`u2`
82.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes76.0ms (0.5%)

Memory

-11.3MiB live, 69.2MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

38.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
7.0ms	(-.f32 #s(literal 1 binary32) u1)
4.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.0ms	cosTheta_i
4.0ms	u1

Results

Accuracy	Segments	Branch
76.9%	1	`cosTheta_i`
76.9%	1	`u1`
76.9%	1	`u2`
76.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
76.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
76.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
76.9%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
76.9%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
76.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
76.9%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes50.0ms (0.4%)

Memory

-6.1MiB live, 72.1MiB allocated

Accuracy

Total -1.0b remaining (-3.4%)

Threshold costs -1b (-3.4%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) #s(literal 0 binary32))))

Calls

10 calls:

26.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.0ms	(-.f32 #s(literal 1 binary32) u1)
3.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
7.1%	1	`u2`
7.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
7.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
7.1%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
7.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
7.1%	1	`cosTheta_i`
7.1%	1	`u1`
7.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
7.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
7.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9417437314987183	0.9421509504318237

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9417437314987183	0.9421509504318237

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008101194398477674	0.0008522195857949555

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0013771223602816463	0.0014337822794914246

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0013771223602816463	0.0014337822794914246

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.3384706676006317	0.37532052397727966

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify14.0ms (0.1%)

Memory

-1.9MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Rules

84×	`*-commutative_binary32`
16×	`sub-neg_binary32`
16×	`+-commutative_binary32`
14×	`neg-sub0_binary32`
14×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	559
1	199	559
2	214	559
3	221	559

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 u2 (+.f32 (PI.f32) (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 #s(approx ( u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 15804137/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 15804137/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 14602889/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11744051/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))))) #s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) #s(literal 0 binary32))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 u2 (+.f32 (PI.f32) (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 #s(approx ( u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 u1 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 #s(approx ( u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))) #s(literal -1 binary32))) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (sin.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 15804137/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 15804137/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))))) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 15804137/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 15804137/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -4/3 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 14602889/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 14602889/17179869184 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sin.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 3006477/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (.f32 (sin.f32 (.f32 u2 (+.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 3006477/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (.f32 (sin.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11744051/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))))) #s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 11744051/33554432 binary32)) (.f32 #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (neg (neg (+ 1 (+ (* u1 u1) u1)))))))) (sin (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 #s(approx (sin ( (* 2 (PI)) u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -4/3 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (*.f32 (PI.f32) #s(literal 0 binary32))))

soundness1.4s (9.8%)

Memory

17.8MiB live, 1 562.5MiB allocated

Rules

13 712×	`lower-fma.f64`
13 712×	`lower-fma.f32`
9 834×	`lower-fma.f64`
9 834×	`lower-fma.f32`
9 662×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	556	8797
1	1704	7439
2	5553	7321
0	8403	6922
0	59	283
0	108	228
1	327	227
2	2015	227
0	8853	207
0	13	39
0	22	39
1	65	39
2	319	39
3	2336	37
0	8633	29
0	318	1889
1	971	1610
2	3142	1483
3	7433	1469
0	8011	1412
0	72	359
0	114	322
1	372	308
2	2381	308
0	9029	293
0	418	9139
1	1262	7738
2	4086	7164
0	8028	6836
0	71	700
0	124	457
1	411	333
2	2712	324
0	9310	306

Stop Event

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

Compiler

Compiled 1 120 to 615 computations (45.1% saved)

preprocess169.0ms (1.2%)

Memory

-25.8MiB live, 381.0MiB allocated

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 266 to 544 computations (57% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze336.0ms (2.4%)

sample2.2s (15.4%)

preprocess52.0ms (0.4%)

explain185.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize47.0ms (0.3%)

series42.0ms (0.3%)

simplify440.0ms (3.1%)

rewrite250.0ms (1.8%)

eval37.0ms (0.3%)

prune89.0ms (0.6%)

simplify316.0ms (2.3%)

localize255.0ms (1.8%)

series110.0ms (0.8%)

simplify408.0ms (2.9%)

rewrite592.0ms (4.2%)

eval218.0ms (1.6%)

prune303.0ms (2.2%)

simplify528.0ms (3.8%)

localize319.0ms (2.3%)

series106.0ms (0.8%)

simplify608.0ms (4.3%)

rewrite297.0ms (2.1%)

eval124.0ms (0.9%)

prune202.0ms (1.4%)

simplify314.0ms (2.2%)

localize313.0ms (2.2%)

series21.0ms (0.2%)

simplify438.0ms (3.1%)

rewrite707.0ms (5%)

eval269.0ms (1.9%)

prune386.0ms (2.8%)

regimes393.0ms (2.8%)

regimes330.0ms (2.4%)

regimes199.0ms (1.4%)

regimes247.0ms (1.8%)

regimes95.0ms (0.7%)

regimes202.0ms (1.4%)

regimes109.0ms (0.8%)

regimes110.0ms (0.8%)

regimes15.0ms (0.1%)

regimes109.0ms (0.8%)

regimes48.0ms (0.3%)

regimes76.0ms (0.5%)

regimes50.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness1.4s (9.8%)

preprocess169.0ms (1.2%)

end0.0ms (0%)

Profiling