Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze416.0ms (4.3%)

Memory

-17.6MiB live, 228.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
18.7%	0%	0%	100%	0%	0%	0%	6
28.1%	0%	0%	100%	0%	0%	0%	7
32.8%	0%	0%	100%	0%	0%	0%	8
49.2%	0%	0%	100%	0%	0%	0%	9
57.4%	0%	0%	100%	0%	0%	0%	10
61.5%	0%	0%	100%	0%	0%	0%	11
71.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample2.5s (26.5%)

Memory

-146.6MiB live, 3 115.1MiB allocated

Samples

1.9s	8 256×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

const: 506.0ms (31.8% of total)

ival-log: 307.0ms (19.3% of total)

ival-<=: 218.0ms (13.7% of total)

ival-mult: 145.0ms (9.1% of total)

ival-cosu: 145.0ms (9.1% of total)

ival-neg: 78.0ms (4.9% of total)

ival-sub: 67.0ms (4.2% of total)

ival-sqrt: 53.0ms (3.3% of total)

ival-and: 34.0ms (2.1% of total)

ival->: 26.0ms (1.6% of total)

exact: 6.0ms (0.4% of total)

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

Bogosity

explain138.0ms (1.4%)

Memory

7.2MiB live, 283.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
200	6	(0.9999600052833557 0.0027415736112743616 1.3742106341751992e-9)	4	(0.9999175071716309 0.013821925967931747 4.23885415656855e-9)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
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	-	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	202	15

Confusion

	Predicted +	Predicted -
+	189	2
-	13	52

Precision

0.9356435643564357

Recall

0.9895287958115183

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	189	2	0
-	13	13	39

Precision?

0.880184331797235

Recall?

1.0

Freqs

test

number	freq
0	54
1	202

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 117 to 46 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 9.0ms (23.8% of total)

ival-cosu: 8.0ms (21.1% of total)

ival-log: 8.0ms (21.1% of total)

ival-sqrt: 4.0ms (10.6% of total)

ival-sub: 3.0ms (7.9% of total)

ival-pi: 2.0ms (5.3% of total)

ival-neg: 2.0ms (5.3% of total)

exact: 1.0ms (2.6% of total)

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

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

preprocess46.0ms (0.5%)

Memory

0.7MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 13 to 14 computations (-7.7% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.4%)

Memory

-8.3MiB live, 69.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12395377900649762	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.15625	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	13.41847616340387	(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-log: 6.0ms (27.5% of total)

ival-mult: 5.0ms (22.9% of total)

ival-cosu: 4.0ms (18.4% of total)

ival-pi: 2.0ms (9.2% of total)

ival-sqrt: 2.0ms (9.2% 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)

series54.0ms (0.6%)

Memory

-10.0MiB live, 108.8MiB allocated

Counts

6 → 84

Calls

Call 1

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

Outputs
#s(alt (* -1 u1) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* -1/2 u1) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* 1/2 u1))) (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ 1 u1)))) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1)) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1)) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
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#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	u2	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
8.0ms	u2	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms	u2	@	0	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))

simplify162.0ms (1.7%)

Memory

40.9MiB live, 234.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1849
1	911	1570
2	2914	1447
3	7134	1410
0	8388	1352

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

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

rewrite134.0ms (1.4%)

Memory

-40.0MiB live, 240.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	22	39
1	65	39
2	320	39
3	2355	37
0	8649	29

Stop Event

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

Counts

6 → 242

Calls

Call 1

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

Outputs
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eval34.0ms (0.4%)

Memory: 10.8MiB live, 86.8MiB allocated
Compiler: Compiled 7 130 to 1 474 computations (79.3% saved)

prune23.0ms (0.2%)

Memory

-8.8MiB live, 73.7MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	306	19	325
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	306	20	326

Accuracy

91.6%

Counts

326 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.4%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.7%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	44.3%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.1%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	19.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (log1p.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	28.1%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
▶	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	49.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	56.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.6%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	42.8%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	3.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 687 to 616 computations (10.3% saved)

simplify281.0ms (2.9%)

Memory

38.2MiB live, 311.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	9792	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
cost-diff	0	(log.f32 (log1p.f32 u1))
cost-diff	0	(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
cost-diff	0	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	6240	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
cost-diff	0	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	296
0	75	280
1	113	278
2	165	272
3	239	272
4	267	272
5	314	272
6	452	272
7	663	272
8	1092	272
9	1661	272
10	3530	272
11	5264	272
12	5888	272
13	6134	272
14	6304	272
15	6370	272
16	6446	272
17	7508	272
18	7992	272
0	8002	260

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (1.2%)

Memory

-1.5MiB live, 234.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
accuracy	0.21875	(*.f32 (cbrt.f32 (PI.f32)) u2)
accuracy	0.49056625976844204	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
accuracy	13.41847616340387	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.171875	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	1.0550782724103287	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
accuracy	29.143435207586062	(log1p.f32 u1)
accuracy	0.28515625	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	20.41005755796774	(log1p.f32 (*.f32 (neg.f32 u1) u1))
accuracy	21.16514118506146	(log1p.f32 u1)
accuracy	0.0859375	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.15625	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	7.206479476075024	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	13.41847616340387	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.12395377900649762	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.15625	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	8.55413714814813	#s(approx (log (- 1 u1)) (neg.f32 u1))

Samples

81.0ms

256×

valid

Compiler

Compiled 308 to 35 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 20.0ms (31.9% of total)

ival-log: 10.0ms (15.9% of total)

ival-sub: 6.0ms (9.6% of total)

ival-exp: 5.0ms (8% of total)

ival-cosu: 4.0ms (6.4% of total)

ival-log1p: 4.0ms (6.4% of total)

ival-cos: 3.0ms (4.8% of total)

ival-sqrt: 3.0ms (4.8% of total)

ival-neg: 2.0ms (3.2% of total)

ival-pow2: 2.0ms (3.2% of total)

ival-pi: 1.0ms (1.6% of total)

ival-cbrt: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series148.0ms (1.5%)

Memory

9.8MiB live, 250.2MiB allocated

Counts

23 → 336

Calls

Call 1

Inputs
#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())
#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())
#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (patch (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) #<representation binary32>) () ())
#s(alt (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))) (patch (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1))) #<representation binary32>) () ())
#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())
#s(alt (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (patch (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (patch (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (log1p.f32 u1)) (patch (log.f32 (log1p.f32 u1)) #<representation binary32>) () ())
#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())
#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (log1p.f32 (.f32 (neg.f32 u1) u1)) (patch (log1p.f32 (.f32 (neg.f32 u1) u1)) #<representation binary32>) () ())
#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())

Outputs
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* 1/2 u1))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* -1/2 u1) 1)) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* -1/2 u1) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor -inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor -inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor -inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (cbrt (PI))) (taylor -inf u2) (#s(alt (.f32 (cbrt.f32 (PI.f32)) u2) (patch (.f32 (cbrt.f32 (PI.f32)) u2) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	u2	@	inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (cbrt (PI)) u2))
23.0ms	u2	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (cbrt (PI)) u2))
18.0ms	u1	@	inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (cbrt (PI)) u2))
5.0ms	u1	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (cbrt (PI)) u2))
4.0ms	u2	@	0	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (cbrt (PI)) u2))

simplify226.0ms (2.4%)

Memory

-15.9MiB live, 248.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	811	8627
1	2448	7339
2	7679	7314
0	8024	6926

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 332

Calls

Call 1

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

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

rewrite154.0ms (1.6%)

Memory

25.3MiB live, 181.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	190
0	75	183
1	178	163
2	845	163
3	7965	163
0	8014	151

Stop Event

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

Counts

23 → 549

Calls

Call 1

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

Outputs
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eval205.0ms (2.1%)

Memory: -12.3MiB live, 302.4MiB allocated
Compiler: Compiled 37 150 to 3 095 computations (91.7% saved)

prune89.0ms (0.9%)

Memory

-2.9MiB live, 199.8MiB allocated

Pruning

67 alts after pruning (63 fresh and 4 done)

	Pruned	Kept	Total
New	1 208	54	1 262
Fresh	5	9	14
Picked	2	3	5
Done	0	1	1
Total	1 215	67	1 282

Accuracy

92.4%

Counts

1 282 → 67

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(/.f32 (.f32 (hypot.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
	5.9%	(/.f32 (.f32 (hypot.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
	12.5%	(.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.2%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.4%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.2%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	20.2%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.1%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	5.8%	(.f32 (.f32 (hypot.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	44.0%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.2%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	24.8%	(.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	40.7%	(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.9%	(.f32 (sqrt.f32 (+.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	50.2%	(.f32 (sqrt.f32 (+.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	54.1%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	22.7%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.4%	(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	21.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	19.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (log1p.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	28.1%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2)) #s(literal 2 binary32)))))
✓	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	49.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	62.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	62.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	62.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	57.2%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	57.2%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.6%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	44.8%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	40.0%	(.f32 (exp.f32 (.f32 (log.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.7%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	14.6%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	41.9%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	25.3%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 u2 (PI.f32)))))
	41.9%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	12.2%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	10.7%	(.f32 (exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.3%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.3%	(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	5.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	75.5%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.7%	#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 2 393 to 2 076 computations (13.2% saved)

simplify13.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
cost-diff	0	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	3232	(*.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/4 binary32))
cost-diff	6240	(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))
cost-diff	6432	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(pow.f32 (*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	128	(*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
cost-diff	0	(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))
cost-diff	0	#s(approx (exp (* (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	377
0	79	363
1	125	350
2	159	349
3	200	349
4	232	341
5	257	341
6	288	341
7	307	341
8	309	341
0	309	324

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize167.0ms (1.7%)

Memory

-9.9MiB live, 183.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.43587875976844204	(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
accuracy	1.0550782724103287	(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
accuracy	17.76085454419337	(log1p.f32 u1)
accuracy	0.14453125	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	0.328125	(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
accuracy	0.3984375	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
accuracy	8.55413714814813	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.15625	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.4326362793053261	(*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	8.55413714814813	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.0859375	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	0.15625	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	7.206479476075024	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	8.55413714814813	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.171875	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	3.408140569422946	#s(approx (exp (* (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1)))
accuracy	7.859465209969741	(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))

Samples

113.0ms

256×

valid

Compiler

Compiled 320 to 45 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 43.0ms (46% of total)

ival-pow: 11.0ms (11.8% of total)

ival-log: 9.0ms (9.6% of total)

ival-exp: 8.0ms (8.6% of total)

ival-sqrt: 5.0ms (5.3% of total)

ival-cosu: 4.0ms (4.3% of total)

ival-log1p: 3.0ms (3.2% of total)

ival-cos: 3.0ms (3.2% of total)

ival-pow2: 2.0ms (2.1% of total)

ival-neg: 2.0ms (2.1% of total)

ival-pi: 1.0ms (1.1% of total)

ival-add: 1.0ms (1.1% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series238.0ms (2.5%)

Memory

12.3MiB live, 343.6MiB allocated

Counts

23 → 348

Calls

Call 1

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

Outputs
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) (taylor 0 u1) (#s(alt (.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt #s(approx (exp (* (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (patch #s(approx (exp (* (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt #s(approx (exp (* (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (patch #s(approx (exp (* (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt #s(approx (exp (* (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (patch #s(approx (exp (* (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1)))))))) (taylor 0 u1) (#s(alt #s(approx (exp (* (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (patch #s(approx (exp (* (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1)) (patch (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1)) (patch (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1)) (patch (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1)) (patch (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (sqrt (pow u1 3)) (taylor 0 u1) (#s(alt (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (patch (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (sqrt (pow u1 3)) (taylor 0 u1) (#s(alt (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (patch (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (sqrt (pow u1 3)) (taylor 0 u1) (#s(alt (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (patch (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (sqrt (pow u1 3)) (taylor 0 u1) (#s(alt (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (patch (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(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)))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* 1/2 u1))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* -1/2 u1) 1)) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) (taylor 0 u1) (#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (pow u1 2) (taylor 0 u1) (#s(alt (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ 1 u1)) (taylor 0 u1) (#s(alt (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1))))) (taylor 0 u1) (#s(alt (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1))))))) (taylor 0 u1) (#s(alt (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1))))))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1))))))))) (taylor 0 u1) (#s(alt (.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (sqrt -1)) (taylor 0 u1) (#s(alt (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (patch (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1))) (taylor 0 u1) (#s(alt (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (patch (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1))))))) (taylor 0 u1) (#s(alt (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (patch (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #<representation binary32>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
55.0ms	u2	@	inf	((* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (exp (* (log (log (+ 1 u1))) 1/2)) (+ (* (sqrt (pow u1 3)) -1/4) (sqrt u1)) (sqrt (pow u1 3)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2))))) (pow (neg (log (- 1 u1))) 1/4) (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (* (log (pow (log (+ 1 u1)) 2)) 1/4) (* (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (cos (* (* 2 (PI)) u2))) (log (pow (log (+ 1 u1)) 2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2)))) (log (+ 1 u1)) (pow (log (+ 1 u1)) 2))
54.0ms	u1	@	0	((* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (exp (* (log (log (+ 1 u1))) 1/2)) (+ (* (sqrt (pow u1 3)) -1/4) (sqrt u1)) (sqrt (pow u1 3)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2))))) (pow (neg (log (- 1 u1))) 1/4) (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (* (log (pow (log (+ 1 u1)) 2)) 1/4) (* (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (cos (* (* 2 (PI)) u2))) (log (pow (log (+ 1 u1)) 2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2)))) (log (+ 1 u1)) (pow (log (+ 1 u1)) 2))
41.0ms	u1	@	inf	((* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (exp (* (log (log (+ 1 u1))) 1/2)) (+ (* (sqrt (pow u1 3)) -1/4) (sqrt u1)) (sqrt (pow u1 3)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2))))) (pow (neg (log (- 1 u1))) 1/4) (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (* (log (pow (log (+ 1 u1)) 2)) 1/4) (* (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (cos (* (* 2 (PI)) u2))) (log (pow (log (+ 1 u1)) 2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2)))) (log (+ 1 u1)) (pow (log (+ 1 u1)) 2))
36.0ms	u2	@	-inf	((* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (exp (* (log (log (+ 1 u1))) 1/2)) (+ (* (sqrt (pow u1 3)) -1/4) (sqrt u1)) (sqrt (pow u1 3)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2))))) (pow (neg (log (- 1 u1))) 1/4) (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (* (log (pow (log (+ 1 u1)) 2)) 1/4) (* (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (cos (* (* 2 (PI)) u2))) (log (pow (log (+ 1 u1)) 2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2)))) (log (+ 1 u1)) (pow (log (+ 1 u1)) 2))
20.0ms	u1	@	-inf	((* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (exp (* (log (log (+ 1 u1))) 1/2)) (+ (* (sqrt (pow u1 3)) -1/4) (sqrt u1)) (sqrt (pow u1 3)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2))))) (pow (neg (log (- 1 u1))) 1/4) (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (* (log (pow (log (+ 1 u1)) 2)) 1/4) (* (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (cos (* (* 2 (PI)) u2))) (log (pow (log (+ 1 u1)) 2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2)))) (log (+ 1 u1)) (pow (log (+ 1 u1)) 2))

simplify234.0ms (2.4%)

Memory

-20.3MiB live, 293.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1139	10008
1	3510	8688
0	8430	8244

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 346

Calls

Call 1

Inputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(sqrt u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(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)))))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(pow (* 1 u1) 1/4)
(+ (* 1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 23/384 (pow (* 1 (pow u1 5)) 1/4)) (* 1/8 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* 39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(sqrt u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(* 1/2 (log u1))
(+ (* -1/4 u1) (* 1/2 (log u1)))
(+ (* 1/2 (log u1)) (* u1 (- (* 5/48 u1) 1/4)))
(+ (* 1/2 (log u1)) (* u1 (- (* u1 (+ 5/48 (* -1/16 u1))) 1/4)))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* 2 (log u1))
(+ (* -1 u1) (* 2 (log u1)))
(+ (* 2 (log u1)) (* u1 (- (* 5/12 u1) 1)))
(+ (* 2 (log u1)) (* u1 (- (* u1 (+ 5/12 (* -1/4 u1))) 1)))
(* (pow (* 1 u1) 1/4) (cos (* 2 (* u2 (PI)))))
(+ (* 1/8 (* (pow (* 1 (pow u1 5)) 1/4) (cos (* 2 (* u2 (PI)))))) (* (pow (* 1 u1) 1/4) (cos (* 2 (* u2 (PI))))))
(+ (* u1 (+ (* 23/384 (* (pow (* 1 (pow u1 5)) 1/4) (cos (* 2 (* u2 (PI)))))) (* 1/8 (* (pow (* 1 u1) 1/4) (cos (* 2 (* u2 (PI)))))))) (* (pow (* 1 u1) 1/4) (cos (* 2 (* u2 (PI))))))
(+ (* u1 (+ (* 1/8 (* (pow (* 1 u1) 1/4) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 39/1024 (* (pow (* 1 (pow u1 5)) 1/4) (cos (* 2 (* u2 (PI)))))) (* 23/384 (* (pow (* 1 u1) 1/4) (cos (* 2 (* u2 (PI)))))))))) (* (pow (* 1 u1) 1/4) (cos (* 2 (* u2 (PI))))))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))
(* -1/4 (sqrt (pow u1 3)))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* -1/4 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* -1/4 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* -1/4 (sqrt (/ 1 u1)))))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(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))))))
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(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(* (pow (* -1 (log (- 1 u1))) 1/4) (cos (* 2 (* u2 (PI)))))
(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (pow (* -1 (log (- 1 u1))) 1/4) (cos (* 2 (* u2 (PI)))))
(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (pow (* -1 (log (- 1 u1))) 1/4) (cos (* 2 (* u2 (PI)))))
(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (pow (* -1 (log (- 1 u1))) 1/4) (cos (* 2 (* u2 (PI)))))
(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))

rewrite185.0ms (1.9%)

Memory

42.1MiB live, 230.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	267
0	79	222
1	193	205
2	789	198
3	5769	197
0	8072	187

Stop Event

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

Counts

23 → 605

Calls

Call 1

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

Outputs
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eval199.0ms (2.1%)

Memory: -14.9MiB live, 295.9MiB allocated
Compiler: Compiled 34 177 to 4 775 computations (86% saved)

prune144.0ms (1.5%)

Memory

-14.9MiB live, 359.1MiB allocated

Pruning

94 alts after pruning (88 fresh and 6 done)

	Pruned	Kept	Total
New	1 332	36	1 368
Fresh	6	52	58
Picked	3	2	5
Done	0	4	4
Total	1 341	94	1 435

Accuracy

92.6%

Counts

1 435 → 94

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(/.f32 (.f32 (hypot.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
	6.0%	(/.f32 (.f32 (hypot.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
	12.0%	(.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.2%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.3%	(.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.6%	(.f32 (pow.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.8%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.2%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.6%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.0%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	75.2%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 #s(approx (pow (neg (log (- 1 u1))) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	75.0%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
	20.2%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	20.2%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.5%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	43.1%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	62.4%	(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	6.1%	(.f32 (.f32 (hypot.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.6%	(.f32 (sqrt.f32 (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.5%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	43.3%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.6%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	42.5%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.7%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	25.0%	(.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.5%	(.f32 (sqrt.f32 (+.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	50.0%	(.f32 (sqrt.f32 (+.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	54.1%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	22.7%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.5%	(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.6%	(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	21.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	19.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (log1p.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	28.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2)) #s(literal 2 binary32)))))
✓	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	49.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	62.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	62.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	62.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	57.2%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	57.2%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.6%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	61.9%	(.f32 (sqrt.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	-0.0%	(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	25.0%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.1%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (-.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)))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	41.9%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	9.1%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.4%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	27.2%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	67.4%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (+.f32 (log.f32 (/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (-.f32 (.f32 u1 u1) u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (-.f32 (.f32 u1 u1) u1) (-.f32 (-.f32 (.f32 u1 u1) u1) #s(literal 1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	47.2%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	41.3%	(.f32 (exp.f32 (.f32 (log.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.9%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	41.9%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	61.9%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	41.2%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) (log.f32 (exp.f32 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	26.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 u2 (PI.f32)))))
	42.9%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	10.7%	(.f32 (exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.3%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (pow (log (+ 1 u1)) 2) (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.3%	(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	5.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	75.5%	(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	75.5%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.0%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (/.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1) (-.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.3%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (+.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.2%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) #s(approx (+ (* (sqrt (pow u1 3)) -1/4) (sqrt u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	-0.0%	#s(approx (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
	62.7%	#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 3 607 to 3 054 computations (15.3% saved)

simplify172.0ms (1.8%)

Memory

1.4MiB live, 156.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
cost-diff	192	(/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))
cost-diff	384	(log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
cost-diff	3328	(exp.f32 (*.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32))
cost-diff	0	(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	3520	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32))))
cost-diff	0	(log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	(*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))
cost-diff	0	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	6240	(exp.f32 (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32)))
cost-diff	0	(neg.f32 u1)
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	0	#s(approx (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	160	(fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
cost-diff	672	(fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	625
0	110	613
1	171	589
2	270	589
3	532	552
4	1144	545
5	3005	533
6	7586	533
0	8315	487

Stop Event

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

Calls

Call 1

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

Outputs
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (.f32 u1 u1) (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) u1) (sqrt.f32 u1) (*.f32 (fma.f32 #s(literal 1/6 binary32) u1 #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))))
#s(approx (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (.f32 u1 u1) (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) u1) (sqrt.f32 u1) (*.f32 (fma.f32 #s(literal 1/6 binary32) u1 #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1)))
(fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))
(fma.f32 (.f32 u1 u1) (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) u1) (sqrt.f32 u1) (*.f32 (fma.f32 #s(literal 1/6 binary32) u1 #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))
(fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)))
(fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) u1) (sqrt.f32 u1) (.f32 (fma.f32 #s(literal 1/6 binary32) u1 #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(fma.f32 (+.f32 (/.f32 #s(literal -1/32 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)))
(*.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)))
(+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32))
(/.f32 #s(literal 1/16 binary32) u1)
#s(literal 1/16 binary32)
u1
#s(literal 1/4 binary32)
(sqrt.f32 u1)
#s(literal -1/2 binary32)
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
#s(literal -1/4 binary32)
(*.f32 u1 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(neg.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))
(log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 1/2 binary32)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32))))
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))
(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(neg.f32 u1)
u1
#s(literal 1/16 binary32)
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)))
(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32))
#s(literal 3/8 binary32)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(*.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))
(*.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/4 binary32))
(log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(log1p.f32 u1)
(log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(neg.f32 (log1p.f32 u1))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 1/4 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
u2

localize416.0ms (4.3%)

Memory

-1.7MiB live, 236.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
accuracy	0	(exp.f32 (*.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
accuracy	0	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
accuracy	0	(neg.f32 u1)
accuracy	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	0	(log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	0	(exp.f32 (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32)))
accuracy	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	0	(sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
accuracy	0	(neg.f32 u1)
accuracy	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	0	(sqrt.f32 u1)
accuracy	0	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0	#s(approx (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1)))
accuracy	29.98788023102775	(PI.f32)

Samples

370.0ms

256×

invalid

Compiler

Compiled 505 to 65 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 342.0ms

ival-pow: 203.0ms (59.3% of total)

ival-mult: 52.0ms (15.2% of total)

ival-add: 22.0ms (6.4% of total)

ival-log: 16.0ms (4.7% of total)

ival-exp: 15.0ms (4.4% of total)

ival-div: 6.0ms (1.8% of total)

ival-sqrt: 5.0ms (1.5% of total)

ival-pow2: 5.0ms (1.5% of total)

const: 4.0ms (1.2% of total)

ival-cosu: 4.0ms (1.2% of total)

ival-log1p: 3.0ms (0.9% of total)

ival-neg: 3.0ms (0.9% of total)

ival-sub: 2.0ms (0.6% of total)

ival-pi: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series331.0ms (3.4%)

Memory

36.0MiB live, 353.3MiB allocated

Counts

24 → 324

Calls

Call 1

Inputs
#s(alt (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (patch (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (patch (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt #s(approx (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (patch #s(approx (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())
#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())
#s(alt (neg.f32 u1) (patch (neg.f32 u1) #<representation binary32>) () ())
#s(alt (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (patch (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32)) (patch (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())
#s(alt (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))) (patch (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (patch (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) #<representation binary32>) () ())
#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())
#s(alt (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (patch (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) #<representation binary32>) () ())
#s(alt (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (patch (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (patch (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())

Outputs
#s(alt (* -1/4 (sqrt (/ 1 u1))) (taylor 0 u1) (#s(alt (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (patch (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1))))) u1) (taylor 0 u1) (#s(alt (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (patch (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))))) u1) (taylor 0 u1) (#s(alt (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (patch (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) #<representation binary32>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
133.0ms	u2	@	inf	((+ (* (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) u1) (* (sqrt (/ 1 u1)) -1/4)) (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) (* (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (cos (* (* 2 (PI)) u2))) (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (* (sqrt (log (- 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (- 1 u1))) (log (- 1 u1)) (neg u1) (exp (* (log (neg (log (- 1 u1)))) 1/2)) (* (exp (* (log (neg (log (- 1 u1)))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (neg (log (- 1 u1)))) 1/2) (log (neg (log (- 1 u1)))) (* (pow (neg (log (- 1 u1))) 1/16) (* (pow (neg (log (- 1 u1))) 1/16) (pow (neg (log (- 1 u1))) 3/8))) (* (* (pow (neg (log (- 1 u1))) 1/16) (* (pow (neg (log (- 1 u1))) 1/16) (pow (neg (log (- 1 u1))) 3/8))) (cos (* (* 2 (PI)) u2))) (pow (neg (log (- 1 u1))) 1/16) (neg (log (- 1 u1))) (exp (* (log (pow (neg (log (/ (- u1 1) (+ (* u1 u1) -1)))) 2)) 1/4)) (log (/ (- u1 1) (+ (* u1 u1) -1))) (/ (- u1 1) (+ (* u1 u1) -1)) (neg (log (/ (- u1 1) (+ (* u1 u1) -1)))) (PI) (cos (* (* 2 (PI)) u2)) (sqrt u1) (cos (* (* 2 (PI)) u2)))
64.0ms	u2	@	-inf	((+ (* (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) u1) (* (sqrt (/ 1 u1)) -1/4)) (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) (* (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (cos (* (* 2 (PI)) u2))) (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (* (sqrt (log (- 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (- 1 u1))) (log (- 1 u1)) (neg u1) (exp (* (log (neg (log (- 1 u1)))) 1/2)) (* (exp (* (log (neg (log (- 1 u1)))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (neg (log (- 1 u1)))) 1/2) (log (neg (log (- 1 u1)))) (* (pow (neg (log (- 1 u1))) 1/16) (* (pow (neg (log (- 1 u1))) 1/16) (pow (neg (log (- 1 u1))) 3/8))) (* (* (pow (neg (log (- 1 u1))) 1/16) (* (pow (neg (log (- 1 u1))) 1/16) (pow (neg (log (- 1 u1))) 3/8))) (cos (* (* 2 (PI)) u2))) (pow (neg (log (- 1 u1))) 1/16) (neg (log (- 1 u1))) (exp (* (log (pow (neg (log (/ (- u1 1) (+ (* u1 u1) -1)))) 2)) 1/4)) (log (/ (- u1 1) (+ (* u1 u1) -1))) (/ (- u1 1) (+ (* u1 u1) -1)) (neg (log (/ (- u1 1) (+ (* u1 u1) -1)))) (PI) (cos (* (* 2 (PI)) u2)) (sqrt u1) (cos (* (* 2 (PI)) u2)))
41.0ms	u2	@	0	((+ (* (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) u1) (* (sqrt (/ 1 u1)) -1/4)) (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) (* (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (cos (* (* 2 (PI)) u2))) (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (* (sqrt (log (- 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (- 1 u1))) (log (- 1 u1)) (neg u1) (exp (* (log (neg (log (- 1 u1)))) 1/2)) (* (exp (* (log (neg (log (- 1 u1)))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (neg (log (- 1 u1)))) 1/2) (log (neg (log (- 1 u1)))) (* (pow (neg (log (- 1 u1))) 1/16) (* (pow (neg (log (- 1 u1))) 1/16) (pow (neg (log (- 1 u1))) 3/8))) (* (* (pow (neg (log (- 1 u1))) 1/16) (* (pow (neg (log (- 1 u1))) 1/16) (pow (neg (log (- 1 u1))) 3/8))) (cos (* (* 2 (PI)) u2))) (pow (neg (log (- 1 u1))) 1/16) (neg (log (- 1 u1))) (exp (* (log (pow (neg (log (/ (- u1 1) (+ (* u1 u1) -1)))) 2)) 1/4)) (log (/ (- u1 1) (+ (* u1 u1) -1))) (/ (- u1 1) (+ (* u1 u1) -1)) (neg (log (/ (- u1 1) (+ (* u1 u1) -1)))) (PI) (cos (* (* 2 (PI)) u2)) (sqrt u1) (cos (* (* 2 (PI)) u2)))
39.0ms	u1	@	-inf	((+ (* (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) u1) (* (sqrt (/ 1 u1)) -1/4)) (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) (* (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (cos (* (* 2 (PI)) u2))) (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (* (sqrt (log (- 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (- 1 u1))) (log (- 1 u1)) (neg u1) (exp (* (log (neg (log (- 1 u1)))) 1/2)) (* (exp (* (log (neg (log (- 1 u1)))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (neg (log (- 1 u1)))) 1/2) (log (neg (log (- 1 u1)))) (* (pow (neg (log (- 1 u1))) 1/16) (* (pow (neg (log (- 1 u1))) 1/16) (pow (neg (log (- 1 u1))) 3/8))) (* (* (pow (neg (log (- 1 u1))) 1/16) (* (pow (neg (log (- 1 u1))) 1/16) (pow (neg (log (- 1 u1))) 3/8))) (cos (* (* 2 (PI)) u2))) (pow (neg (log (- 1 u1))) 1/16) (neg (log (- 1 u1))) (exp (* (log (pow (neg (log (/ (- u1 1) (+ (* u1 u1) -1)))) 2)) 1/4)) (log (/ (- u1 1) (+ (* u1 u1) -1))) (/ (- u1 1) (+ (* u1 u1) -1)) (neg (log (/ (- u1 1) (+ (* u1 u1) -1)))) (PI) (cos (* (* 2 (PI)) u2)) (sqrt u1) (cos (* (* 2 (PI)) u2)))
21.0ms	u1	@	inf	((+ (* (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) u1) (* (sqrt (/ 1 u1)) -1/4)) (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) (* (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (cos (* (* 2 (PI)) u2))) (exp (* (log (pow (log (+ 1 u1)) 2)) 1/4)) (* (sqrt (log (- 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (- 1 u1))) (log (- 1 u1)) (neg u1) (exp (* (log (neg (log (- 1 u1)))) 1/2)) (* (exp (* (log (neg (log (- 1 u1)))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (neg (log (- 1 u1)))) 1/2) (log (neg (log (- 1 u1)))) (* (pow (neg (log (- 1 u1))) 1/16) (* (pow (neg (log (- 1 u1))) 1/16) (pow (neg (log (- 1 u1))) 3/8))) (* (* (pow (neg (log (- 1 u1))) 1/16) (* (pow (neg (log (- 1 u1))) 1/16) (pow (neg (log (- 1 u1))) 3/8))) (cos (* (* 2 (PI)) u2))) (pow (neg (log (- 1 u1))) 1/16) (neg (log (- 1 u1))) (exp (* (log (pow (neg (log (/ (- u1 1) (+ (* u1 u1) -1)))) 2)) 1/4)) (log (/ (- u1 1) (+ (* u1 u1) -1))) (/ (- u1 1) (+ (* u1 u1) -1)) (neg (log (/ (- u1 1) (+ (* u1 u1) -1)))) (PI) (cos (* (* 2 (PI)) u2)) (sqrt u1) (cos (* (* 2 (PI)) u2)))

simplify182.0ms (1.9%)

Memory

-2.5MiB live, 274.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1163	8659
1	3631	7503
0	8260	7154

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 322

Calls

Call 1

Inputs
(* -1/4 (sqrt (/ 1 u1)))
(/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1))))) u1)
(/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))))) u1)
(/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))))) u1)
(/ (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1))) u1)
(/ (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))) u1)
(/ (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))) u1)
(/ (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))) u1)
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(* -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 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* 1/2 (log u1))
(+ (* 1/4 u1) (* 1/2 (log u1)))
(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* 5/48 u1))))
(+ (* 1/2 (log u1)) (* u1 (+ 1/4 (* u1 (+ 5/48 (* 1/16 u1))))))
(log u1)
(+ (log u1) (* 1/2 u1))
(+ (log u1) (* u1 (+ 1/2 (* 5/24 u1))))
(+ (log u1) (* u1 (+ 1/2 (* u1 (+ 5/24 (* 1/8 u1))))))
(* (pow -1 1/8) (* (sqrt u1) (sqrt -1)))
(+ (* -1/4 (* (pow -1 1/8) (* (sqrt (pow u1 3)) (/ 1 (sqrt -1))))) (* (pow -1 1/8) (* (sqrt u1) (sqrt -1))))
(+ (* (pow -1 1/8) (* (sqrt u1) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (pow -1 1/8) (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1))))) (* -1/6 (* (pow -1 1/8) (* (sqrt u1) (/ 1 (sqrt -1))))))))
(+ (* (pow -1 1/8) (* (sqrt u1) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (pow -1 1/8) (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1))))) (* u1 (+ (* -1/2 (* (pow -1 1/8) (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* -1/6 (* (pow -1 1/8) (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1))))))))))
(* (pow -1 1/8) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))))
(+ (* -1/4 (* (pow -1 1/8) (* (sqrt (pow u1 3)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1))))) (* (pow -1 1/8) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))))
(+ (* (pow -1 1/8) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* (pow u1 2) (+ (* -1/4 (* (pow -1 1/8) (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1))))) (* -1/6 (* (pow -1 1/8) (* (sqrt u1) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1))))))))
(+ (* (pow -1 1/8) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* (pow u1 2) (+ (* -1/4 (* (pow -1 1/8) (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1))))) (* u1 (+ (* -1/2 (* (pow -1 1/8) (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1))))) (* -1/6 (* (pow -1 1/8) (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1))))))))))
(pow (* 1 u1) 1/16)
(+ (* 1/32 (pow (* 1 (pow u1 17)) 1/16)) (pow (* 1 u1) 1/16))
(+ (* u1 (+ (* 83/6144 (pow (* 1 (pow u1 17)) 1/16)) (* 1/32 (pow (* 1 u1) 1/16)))) (pow (* 1 u1) 1/16))
(+ (* u1 (+ (* 1/32 (pow (* 1 u1) 1/16)) (* u1 (+ (* 539/65536 (pow (* 1 (pow u1 17)) 1/16)) (* 83/6144 (pow (* 1 u1) 1/16)))))) (pow (* 1 u1) 1/16))
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)))))))
(* (sqrt u1) (sqrt -1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/6 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* 1/2 (* (sqrt u1) (/ (- 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))))))))
(* -1 u1)
(* u1 (- (* 1/2 u1) 1))
(* u1 (- (* u1 (+ 1/2 (* -1/3 u1))) 1))
(* u1 (- (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 1/3)))) 1))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1/8 (sqrt (pow u1 3)))
(* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 u1))) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/6 (sqrt (/ 1 (pow u1 3)))))))
(* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 (pow u1 5)))) (+ (* -1/8 (sqrt (/ 1 u1))) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/6 (sqrt (/ 1 (pow u1 3))))))))
(* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 (pow u1 5)))) (+ (* -1/8 (sqrt (/ 1 u1))) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/6 (sqrt (/ 1 (pow u1 3))))))))
(* -1/8 (sqrt u1))
(* u1 (+ (* -1/8 (sqrt (/ 1 u1))) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/6 (sqrt (/ 1 (pow u1 3)))))))
(* u1 (+ (* -1/8 (sqrt (/ 1 u1))) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/6 (sqrt (/ 1 (pow u1 3)))))))
(* u1 (+ (* -1/8 (sqrt (/ 1 u1))) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/6 (sqrt (/ 1 (pow u1 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))) (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))
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(+ (* -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)))))))
(log (neg (* -1 (log (/ -1 u1)))))
(+ (log (neg (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (log (/ -1 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)))
(+ (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)))
(* (pow -1 1/8) (* (sqrt (log (/ -1 u1))) (sqrt -1)))
(+ (* -1/2 (* (pow -1 1/8) (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) (* (pow -1 1/8) (* (sqrt (log (/ -1 u1))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (pow -1 1/8) (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sqrt -1))))) (* 1/2 (* (pow -1 1/8) (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))))) u1)) (* (pow -1 1/8) (* (sqrt (log (/ -1 u1))) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow -1 1/8) (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (sqrt -1))))) (* -1/2 (* (pow -1 1/8) (* (/ (- 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))) (sqrt (/ 1 (log (/ -1 u1)))))))) u1)) (* 1/2 (* (pow -1 1/8) (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sqrt -1)))))) u1)) (* (pow -1 1/8) (* (sqrt (log (/ -1 u1))) (sqrt -1))))
(* (pow -1 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1)))))
(+ (* -1/2 (* (pow -1 1/8) (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) (* (pow -1 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* 1/2 (* (pow -1 1/8) (* (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (pow -1 1/8) (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))))) u1)) (* (pow -1 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow -1 1/8) (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (log (/ -1 u1))))))) (* -1/2 (* (pow -1 1/8) (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))))) u1)) (* 1/2 (* (pow -1 1/8) (* (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (log (/ -1 u1)))))))) u1)) (* (pow -1 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1))))))
(pow (* 1 (log (/ -1 u1))) 1/16)
(+ (* 1/16 (* (pow (/ 1 (pow (log (/ -1 u1)) 15)) 1/16) (/ 1 u1))) (pow (* 1 (log (/ -1 u1))) 1/16))
(+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/16) (/ (+ (* 1/32 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/512 (/ 1 (pow (log (/ -1 u1)) 2)))) u1))) (* -1/16 (pow (/ 1 (pow (log (/ -1 u1)) 15)) 1/16))) u1)) (pow (* 1 (log (/ -1 u1))) 1/16))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/16) (/ (- (+ (* -1/512 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) (log (/ -1 u1)))) (* 1/96 (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))))) (* 1/24576 (/ 1 (pow (log (/ -1 u1)) 3)))) u1))) (* (pow (* 1 (log (/ -1 u1))) 1/16) (+ (* 1/32 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/512 (/ 1 (pow (log (/ -1 u1)) 2)))))) u1)) (* -1/16 (pow (/ 1 (pow (log (/ -1 u1)) 15)) 1/16))) u1)) (pow (* 1 (log (/ -1 u1))) 1/16))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(sqrt (+ (log -1) (log (/ -1 u1))))
(+ (sqrt (+ (log -1) (log (/ -1 u1)))) (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))))
(+ (sqrt (+ (log -1) (log (/ -1 u1)))) (* -1 (/ (+ (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) (* 1/2 (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) u1)))
(+ (sqrt (+ (log -1) (log (/ -1 u1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1)))))) (+ (log -1) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) (* 1/2 (* (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ -1 u1))))))))) u1)) (* 1/2 (sqrt (/ 1 (+ (log -1) (log (/ -1 u1))))))) u1)))
(+ (log -1) (log (/ -1 u1)))
(- (+ (log -1) (log (/ -1 u1))) (/ 1 u1))
(+ (log -1) (+ (log (/ -1 u1)) (* -1 (/ (- 1 (* 1/2 (/ 1 u1))) u1))))
(+ (log -1) (+ (log (/ -1 u1)) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 u1))) u1))) u1))))
(/ 1 u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(* -1 (+ (log -1) (log (/ -1 u1))))
(- (/ 1 u1) (+ (log -1) (log (/ -1 u1))))
(- (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1)) (+ (log -1) (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1)) (+ (log -1) (log (/ -1 u1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt (log (+ 1 u1)))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
(sqrt (log (- 1 u1)))
(+ (sqrt (log (- 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (- 1 u1))))))
(+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (- 1 u1))))))))
(+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (- 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (- 1 u1))))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (pow -1 1/8) (sqrt (log (- 1 u1))))
(+ (* -2 (* (pow -1 1/8) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (- 1 u1)))))) (* (pow -1 1/8) (sqrt (log (- 1 u1)))))
(+ (* (pow -1 1/8) (sqrt (log (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow -1 1/8) (* (pow (PI) 2) (sqrt (log (- 1 u1)))))) (* 2/3 (* (pow -1 1/8) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (- 1 u1)))))))))
(+ (* (pow -1 1/8) (sqrt (log (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow -1 1/8) (* (pow (PI) 2) (sqrt (log (- 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (pow -1 1/8) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (- 1 u1)))))) (* 2/3 (* (pow -1 1/8) (* (pow (PI) 4) (sqrt (log (- 1 u1)))))))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))

Outputs
(* -1/4 (sqrt (/ 1 u1)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))
(/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1))))) u1)
(/.f32 (fma.f32 (.f32 (sqrt.f32 u1) #s(literal 13/96 binary32)) u1 (.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) u1)
(/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))))) u1)
(/.f32 (fma.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/8 binary32) (.f32 (sqrt.f32 u1) #s(literal 13/96 binary32))) u1 (.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) u1)
(/ (+ (* -1/4 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))))) u1)
(/.f32 (fma.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/8 binary32) (.f32 (sqrt.f32 u1) #s(literal 13/96 binary32))) u1 (.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) u1)
(/ (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1))) u1)
(/.f32 (*.f32 (sqrt.f32 u1) #s(literal 13/96 binary32)) u1)
(/ (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))) u1)
(/.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/8 binary32) (*.f32 (sqrt.f32 u1) #s(literal 13/96 binary32))) u1)
(/ (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))) u1)
(/.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/8 binary32) (*.f32 (sqrt.f32 u1) #s(literal 13/96 binary32))) u1)
(/ (+ (* -1/8 (sqrt (pow u1 3))) (+ (* -1/32 (sqrt u1)) (* 1/6 (sqrt u1)))) u1)
(/.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/8 binary32) (*.f32 (sqrt.f32 u1) #s(literal 13/96 binary32))) u1)
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))))
(fma.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/4 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))))))
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(fma.f32 (fma.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))) (.f32 u2 u2) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (log1p.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1)))
(sqrt (log (- 1 u1)))
(sqrt.f32 (log1p.f32 (neg.f32 u1)))
(+ (sqrt (log (- 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (- 1 u1))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (- 1 u1))))))))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 u2 u2) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (- 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (- 1 u1))))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))) (.f32 u2 u2))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal 2/3 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 u2 u2)) (.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal -1 binary32)))))) (.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 #s(literal -4/45 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 u2 u2))))) (.f32 u2 u2) (.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) (.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))))
(* (pow -1 1/8) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)))
(+ (* -2 (* (pow -1 1/8) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (- 1 u1)))))) (* (pow -1 1/8) (sqrt (log (- 1 u1)))))
(fma.f32 (.f32 #s(literal -2 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 u2))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32))))
(+ (* (pow -1 1/8) (sqrt (log (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow -1 1/8) (* (pow (PI) 2) (sqrt (log (- 1 u1)))))) (* 2/3 (* (pow -1 1/8) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (- 1 u1)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 u2 u2))) (.f32 (.f32 (.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) #s(literal -2 binary32))) (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32))))
(+ (* (pow -1 1/8) (sqrt (log (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow -1 1/8) (* (pow (PI) 2) (sqrt (log (- 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (pow -1 1/8) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (- 1 u1)))))) (* 2/3 (* (pow -1 1/8) (* (pow (PI) 4) (sqrt (log (- 1 u1)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 u2 u2))) (.f32 (.f32 (.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 2/3 binary32))) (.f32 u2 u2))) (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (pow -1 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))

rewrite212.0ms (2.2%)

Memory

-8.2MiB live, 270.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	367
0	108	305
1	323	266
2	1971	263
0	8470	242

Stop Event

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

Counts

24 → 577

Calls

Call 1

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

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eval157.0ms (1.6%)

Memory: 19.4MiB live, 380.0MiB allocated
Compiler: Compiled 38 847 to 5 769 computations (85.1% saved)

prune137.0ms (1.4%)

Memory

-32.6MiB live, 257.4MiB allocated

Pruning

100 alts after pruning (95 fresh and 5 done)

	Pruned	Kept	Total
New	1 228	25	1 253
Fresh	13	70	83
Picked	5	0	5
Done	1	5	6
Total	1 247	100	1 347

Accuracy

92.9%

Counts

1 347 → 100

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.1%	(/.f32 (.f32 (hypot.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
	6.0%	(/.f32 (.f32 (hypot.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
	62.5%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.3%	(.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.6%	(.f32 (pow.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.8%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.1%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.5%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.5%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 7/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
	74.0%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	75.2%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 #s(approx (pow (neg (log (- 1 u1))) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	62.6%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
	75.0%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
	61.3%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	20.2%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.1%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.5%	(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 15/32 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/32 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.5%	(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 5/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/16 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.0%	(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(literal 3/8 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	61.0%	(.f32 (.f32 (pow.f32 (exp.f32 #s(literal 1/16 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.6%	(.f32 (sqrt.f32 (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.7%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.4%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	43.3%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.5%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	24.8%	(.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	45.5%	(.f32 (sqrt.f32 (+.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	50.6%	(.f32 (sqrt.f32 (+.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	54.1%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	22.7%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.5%	(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.6%	(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	21.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	19.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (log1p.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	28.8%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2)) #s(literal 2 binary32)))))
✓	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	60.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	49.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	62.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	62.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	57.2%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	57.2%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.6%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	61.9%	(.f32 (sqrt.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	62.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	0.2%	(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	25.0%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.1%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (-.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)))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	9.1%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	27.2%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	35.5%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.0%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -3 binary32)))) (log.f32 (+.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -2 binary32)) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	45.3%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.4%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))) u2)))
	25.5%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	44.1%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (/.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	60.1%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 #s(approx (/ (- u1 1) (+ (* u1 u1) -1)) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	41.7%	(.f32 (exp.f32 (.f32 (log.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.7%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	41.9%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	61.9%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1/2 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	23.1%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 u2 (PI.f32)))))
	42.9%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	61.0%	(.f32 (exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	10.7%	(.f32 (exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.3%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (pow (log (+ 1 u1)) 2) (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	61.9%	(.f32 (exp.f32 (.f32 #s(approx (log (neg (log (- 1 u1)))) (log.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.3%	(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (.f32 u1 u1) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
	75.5%	(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	5.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.2%	(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.5%	(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.5%	(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 #s(approx (+ (* (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) u1) (* (sqrt (/ 1 u1)) -1/4)) (/.f32 (fma.f32 (.f32 (sqrt.f32 u1) #s(literal 13/96 binary32)) u1 (.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) u1)) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.7%	(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	75.5%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.0%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (/.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1) (-.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.3%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (+.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	-0.0%	#s(approx (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
	62.7%	#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 4 669 to 2 361 computations (49.4% saved)

regimes531.0ms (5.5%)

Memory

-11.4MiB live, 507.0MiB allocated

Counts

135 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 #s(approx (+ (* (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) u1) (* (sqrt (/ 1 u1)) -1/4)) (/.f32 (fma.f32 (.f32 (sqrt.f32 u1) #s(literal 13/96 binary32)) u1 (.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) u1)) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 #s(approx (log (neg (log (- 1 u1)))) (log.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (.f32 u1 u1) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 5/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/16 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 15/32 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/32 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 7/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (+.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1/2 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))) (cos.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)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) #s(approx (+ (* (sqrt (pow u1 3)) -1/4) (sqrt u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
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(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))) u2)))
(/.f32 (.f32 (hypot.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(.f32 (.f32 (hypot.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -3 binary32)))) (log.f32 (+.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -2 binary32)) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 (hypot.f32 (pow.f32 (neg.f32 (log1p.f32 (.f32 (neg.f32 u1) u1))) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))

Outputs

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

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

Calls

10 calls:

85.0ms	u2
85.0ms	u1
56.0ms	(-.f32 #s(literal 1 binary32) u1)
54.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
50.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
75.5%	1	`cosTheta_i`
91.0%	2	`u1`
75.5%	1	`u2`
90.1%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
91.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
75.5%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
75.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes133.0ms (1.4%)

Memory

17.9MiB live, 288.5MiB allocated

Counts

99 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 #s(approx (+ (* (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) u1) (* (sqrt (/ 1 u1)) -1/4)) (/.f32 (fma.f32 (.f32 (sqrt.f32 u1) #s(literal 13/96 binary32)) u1 (.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) u1)) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 #s(approx (log (neg (log (- 1 u1)))) (log.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (.f32 u1 u1) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 5/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/16 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 15/32 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/32 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 7/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (+.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1/2 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))) (cos.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)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) #s(approx (+ (* (sqrt (pow u1 3)) -1/4) (sqrt u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 #s(approx (pow (log (+ 1 u1)) 2) (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 #s(approx (pow (neg (log (- 1 u1))) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (exp.f32 (.f32 (log.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (/.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1) (-.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

5 calls:

27.0ms	u1
27.0ms	(-.f32 #s(literal 1 binary32) u1)
26.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
25.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
23.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
91.0%	2	`u1`
91.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.0%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes112.0ms (1.2%)

Memory

-1.6MiB live, 311.2MiB allocated

Counts

79 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 #s(approx (+ (* (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) u1) (* (sqrt (/ 1 u1)) -1/4)) (/.f32 (fma.f32 (.f32 (sqrt.f32 u1) #s(literal 13/96 binary32)) u1 (.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) u1)) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 #s(approx (log (neg (log (- 1 u1)))) (log.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (.f32 u1 u1) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 5/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/16 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 15/32 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/32 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 7/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (+.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1/2 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))) (cos.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)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) #s(approx (+ (* (sqrt (pow u1 3)) -1/4) (sqrt u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 #s(approx (pow (log (+ 1 u1)) 2) (.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 #s(approx (pow (neg (log (- 1 u1))) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (exp.f32 (.f32 (log.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (/.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1) (-.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

5 calls:

23.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
22.0ms	(-.f32 #s(literal 1 binary32) u1)
22.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
21.0ms	u1
19.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
91.0%	2	`u1`
91.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.0%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes101.0ms (1%)

Memory

16.8MiB live, 208.6MiB allocated

Counts

57 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 #s(approx (+ (* (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) u1) (* (sqrt (/ 1 u1)) -1/4)) (/.f32 (fma.f32 (.f32 (sqrt.f32 u1) #s(literal 13/96 binary32)) u1 (.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) u1)) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 #s(approx (log (neg (log (- 1 u1)))) (log.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (.f32 u1 u1) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 5/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/16 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 15/32 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/32 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 7/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (+.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1/2 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

5 calls:

26.0ms	(-.f32 #s(literal 1 binary32) u1)
22.0ms	u1
19.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
16.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
16.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
91.0%	2	`u1`
91.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.0%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes71.0ms (0.7%)

Memory

2.6MiB live, 199.7MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 #s(approx (+ (* (+ (* (* (+ (/ 1/16 u1) 1/4) (sqrt u1)) -1/2) (* 1/6 (sqrt (/ 1 u1)))) u1) (* (sqrt (/ 1 u1)) -1/4)) (/.f32 (fma.f32 (.f32 (sqrt.f32 u1) #s(literal 13/96 binary32)) u1 (.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) u1)) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 #s(approx (log (neg (log (- 1 u1)))) (log.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (.f32 u1 u1) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (sqrt.f32 u1) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) u1 (/.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 5/16 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/16 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 15/32 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/32 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3/8 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 7/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 #s(approx (exp ( (log (pow (log (+ 1 u1)) 2)) 1/4)) (fma.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

6 calls:

13.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
12.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms	(-.f32 #s(literal 1 binary32) u1)
11.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
85.4%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
83.9%	2	`u1`
83.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
83.9%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
83.9%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
83.9%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 32 to 43 computations (-34.4% saved)

regimes56.0ms (0.6%)

Memory

-1.8MiB live, 116.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

8.0ms	u2
7.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms	u1
5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
62.7%	1	`u2`
62.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
62.7%	1	`cosTheta_i`
62.7%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
73.3%	2	`u1`
73.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
73.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
73.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
73.3%	2	`(-.f32 #s(literal 1 binary32) u1)`
73.3%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes30.0ms (0.3%)

Memory

33.0MiB live, 71.3MiB allocated

Accuracy

Total -20.1b remaining (-167.8%)

Threshold costs -20.1b (-167.8%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
5.0ms	u1
5.0ms	(-.f32 #s(literal 1 binary32) u1)
5.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
5.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
62.7%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
62.7%	1	`(-.f32 #s(literal 1 binary32) u1)`
62.7%	1	`u1`
62.7%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
62.7%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
62.7%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 32 to 43 computations (-34.4% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999886155128479	0.9998937249183655

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch3.0ms (0%)

Memory

-37.0MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999886155128479	0.9998937249183655

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999886155128479	0.9998937249183655

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999886155128479	0.9998937249183655

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.025856342166662216	0.027851346880197525

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00962134450674057	0.010670115239918232

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify68.0ms (0.7%)

Memory

32.0MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	327
1	109	327
2	125	327
3	142	327
4	181	327
5	220	327
6	266	327
7	327	327
8	399	327
9	438	327
10	481	327
11	530	327
12	598	327
13	649	327
14	684	327
15	702	327
16	714	327
17	719	327
18	720	327

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 #s(approx (/ (- u1 1) (+ (* u1 u1) -1)) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3489661/134217728 binary32)) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5368709/536870912 binary32)) (.f32 #s(approx (exp (* (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (neg.f32 (log.f32 #s(approx (/ (- u1 1) (+ (* u1 u1) -1)) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)) (exp.f32 (.f32 #s(literal 1/4 binary32) (log.f32 (pow.f32 (neg.f32 (log.f32 #s(approx (/ (- u1 1) (+ (* u1 u1) -1)) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32)))))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (/.f32 (-.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))) #s(literal 2 binary32)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 u2 #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16775371/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3489661/134217728 binary32)) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))) #s(literal 3489661/134217728 binary32)) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5368709/536870912 binary32)) (.f32 #s(approx (exp (* (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))) #s(literal 5368709/536870912 binary32)) (.f32 #s(approx (exp (* (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 #s(approx (exp ( (log (neg (log (- 1 u1)))) 1/2)) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))

soundness851.0ms (8.9%)

Memory

-21.9MiB live, 704.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	811	8627
1	2448	7339
2	7679	7314
0	8024	6926
0	13	39
0	22	39
1	65	39
2	320	39
3	2355	37
0	8649	29
0	1163	8659
1	3631	7503
0	8260	7154
0	50	267
0	79	222
1	193	205
2	789	198
3	5769	197
0	8072	187
0	306	1849
1	911	1570
2	2914	1447
3	7134	1410
0	8388	1352

Stop Event

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

Compiler

Compiled 427 to 271 computations (36.5% saved)

preprocess52.0ms (0.5%)

Memory

10.8MiB live, 86.1MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 588 to 236 computations (59.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	50	377
0	79	363
1	125	350
2	159	349
3	200	349
4	232	341
5	257	341
6	288	341
7	307	341
8	309	341
0	309	324

Iter	Nodes	Cost
0	79	327
1	109	327
2	125	327
3	142	327
4	181	327
5	220	327
6	266	327
7	327	327
8	399	327
9	438	327
10	481	327
11	530	327
12	598	327
13	649	327
14	684	327
15	702	327
16	714	327
17	719	327
18	720	327

Iter	Nodes	Cost
0	50	377
0	79	363
1	125	350
2	159	349
3	200	349
4	232	341
5	257	341
6	288	341
7	307	341
8	309	341
0	309	324

Iter	Nodes	Cost
0	79	327
1	109	327
2	125	327
3	142	327
4	181	327
5	220	327
6	266	327
7	327	327
8	399	327
9	438	327
10	481	327
11	530	327
12	598	327
13	649	327
14	684	327
15	702	327
16	714	327
17	719	327
18	720	327

start0.0ms (0%)

analyze416.0ms (4.3%)

sample2.5s (26.5%)

explain138.0ms (1.4%)

preprocess46.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize39.0ms (0.4%)

series54.0ms (0.6%)

simplify162.0ms (1.7%)

rewrite134.0ms (1.4%)

eval34.0ms (0.4%)

prune23.0ms (0.2%)

simplify281.0ms (2.9%)

localize115.0ms (1.2%)

series148.0ms (1.5%)

simplify226.0ms (2.4%)

rewrite154.0ms (1.6%)

eval205.0ms (2.1%)

prune89.0ms (0.9%)

simplify13.0ms (0.1%)

localize167.0ms (1.7%)

series238.0ms (2.5%)

simplify234.0ms (2.4%)

rewrite185.0ms (1.9%)

eval199.0ms (2.1%)

prune144.0ms (1.5%)

simplify172.0ms (1.8%)

localize416.0ms (4.3%)

series331.0ms (3.4%)

simplify182.0ms (1.9%)

rewrite212.0ms (2.2%)

eval157.0ms (1.6%)

prune137.0ms (1.4%)

regimes531.0ms (5.5%)

regimes133.0ms (1.4%)

regimes112.0ms (1.2%)

regimes101.0ms (1%)

regimes71.0ms (0.7%)

regimes56.0ms (0.6%)

regimes30.0ms (0.3%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify68.0ms (0.7%)

soundness851.0ms (8.9%)

preprocess52.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	50	377
0	79	363
1	125	350
2	159	349
3	200	349
4	232	341
5	257	341
6	288	341
7	307	341
8	309	341
0	309	324

Iter	Nodes	Cost
0	79	327
1	109	327
2	125	327
3	142	327
4	181	327
5	220	327
6	266	327
7	327	327
8	399	327
9	438	327
10	481	327
11	530	327
12	598	327
13	649	327
14	684	327
15	702	327
16	714	327
17	719	327
18	720	327