Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze345.0ms (3.6%)

Memory

-27.5MiB live, 501.6MiB 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)

sample2.4s (24.9%)

Memory

44.0MiB live, 2 177.6MiB allocated

Samples

1.8s	8 256×	0	valid
1.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

const: 383.0ms (28% of total)

ival-log: 217.0ms (15.9% of total)

ival-sqrt: 169.0ms (12.4% of total)

ival-<=: 167.0ms (12.2% of total)

ival-cosu: 142.0ms (10.4% of total)

ival-mult: 110.0ms (8% of total)

ival-sub: 62.0ms (4.5% of total)

ival-neg: 44.0ms (3.2% of total)

ival-and: 36.0ms (2.6% of total)

ival->: 27.0ms (2% of total)

exact: 6.0ms (0.4% of total)

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

Bogosity

explain251.0ms (2.7%)

Memory

-19.9MiB live, 208.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
198	5	(0.9999606013298035 0.008835561573505402 4.946660737914499e-6)	7	(0.9999443888664246 0.012195667251944542 0.0038935947231948376)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	0	-	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	196	13
`cos.f32`	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	189	3
-	7	57

Precision

0.9642857142857143

Recall

0.984375

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	189	3	0
-	7	10	47

Precision?

0.9186602870813397

Recall?

1.0

Freqs

test

number	freq
0	60
1	195
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms

512×

valid

Compiler

Compiled 117 to 46 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-sub: 18.0ms (35.1% of total)

ival-mult: 9.0ms (17.6% of total)

ival-log: 8.0ms (15.6% of total)

ival-cosu: 7.0ms (13.7% of total)

ival-sqrt: 3.0ms (5.9% of total)

ival-pi: 2.0ms (3.9% of total)

ival-neg: 2.0ms (3.9% of total)

ival-true: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

preprocess97.0ms (1%)

Memory

-23.3MiB live, 57.7MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify5.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (0.6%)

Memory

19.9MiB live, 59.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.140625	(.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	0.34375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	12.754973611287095	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

47.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

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

ival-mult: 4.0ms (21.7% of total)

ival-cosu: 4.0ms (21.7% of total)

ival-log: 4.0ms (21.7% of total)

ival-sqrt: 2.0ms (10.8% of total)

ival-pi: 1.0ms (5.4% of total)

ival-sub: 1.0ms (5.4% of total)

ival-neg: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series92.0ms (1%)

Memory

-1.8MiB live, 76.3MiB allocated

Counts

5 → 72

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>) () ())

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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Calls

6 calls:

Time	Variable		Point	Expression
62.0ms	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))
12.0ms	u1	@	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))
7.0ms	u2	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
3.0ms	u2	@	0	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
3.0ms	u1	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))

simplify390.0ms (4.1%)

Memory

2.1MiB live, 154.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1737
1	858	1458
2	2729	1335
3	6880	1298
0	8135	1246

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

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)))
(* (* (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)))) (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)))

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

rewrite408.0ms (4.3%)

Memory

-1.6MiB live, 202.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 228

Calls

Call 1

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

Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval38.0ms (0.4%)

Memory: 12.2MiB live, 49.2MiB allocated
Compiler: Compiled 6 566 to 1 408 computations (78.6% saved)

prune17.0ms (0.2%)

Memory

-35.4MiB live, 41.4MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	290	9	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	290	10	300

Accuracy

90.6%

Counts

300 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(.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)))
	41.7%	(.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	56.8%	(.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)))
	62.4%	(.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)))))
▶	62.3%	(.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)))))
✓	62.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.6%	(.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)))
▶	74.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	42.4%	(.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)))
▶	3.4%	(.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 305 to 288 computations (5.6% saved)

simplify10.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
cost-diff	0	(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)))))
cost-diff	0	(.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)))
cost-diff	6464	(+.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))))
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	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	800	(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	310
0	76	283
1	110	277
2	143	277
3	163	277
4	177	277
5	196	277
6	220	277
7	224	277
0	224	267

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (1.2%)

Memory

1.7MiB live, 238.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(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)))))
accuracy	0.140625	(.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)))
accuracy	0.34375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	14.51126205059822	(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
accuracy	0.15234375	(.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	0.34375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	1.003480854889692	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
accuracy	28.937937550448293	(log1p.f32 u1)
accuracy	0.140625	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
accuracy	0.2890625	(.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
accuracy	0.4225387695368841	(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy	12.754973611287095	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.09540074388239284	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.140625	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.34375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	30.901640386046633	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.12890625	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	0.140625	(.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	0.34375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	8.96550411079562	#s(approx (log (- 1 u1)) (neg.f32 u1))

Samples

84.0ms

256×

valid

Compiler

Compiled 302 to 37 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 19.0ms (30.4% of total)

ival-log: 10.0ms (16% of total)

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

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

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

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

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

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

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

ival-log1p: 2.0ms (3.2% of total)

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

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

exact: 1.0ms (1.6% of total)

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

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

series112.0ms (1.2%)

Memory

14.8MiB live, 252.4MiB allocated

Counts

24 → 348

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

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	u2	@	inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (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))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (log (+ 1 u1)))
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)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (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))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (log (+ 1 u1)))
16.0ms	u1	@	inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (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))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (log (+ 1 u1)))
8.0ms	u1	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (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))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (log (+ 1 u1)))
4.0ms	u1	@	0	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (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))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (log (+ 1 u1)))

simplify192.0ms (2%)

Memory

-2.4MiB live, 313.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	869	9281
1	2637	7838
0	8233	7466

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 345

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (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))))))))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(sqrt u1)
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(sqrt u1)
(* -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))))))))
(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)))))
(+ (* -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)))))))))))
(* 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)))
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(+ (log u1) (* -1/2 u1))
(+ (log u1) (* u1 (- (* 5/24 u1) 1/2)))
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u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
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(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2))))
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(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* u1 (+ (* 1/12 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- 1/8 (* 1/64 (/ 1 (* u1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))))
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(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ (sqrt 2) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ (sqrt 2) (sqrt 1/2)))))))
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u1
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* -1 (sqrt u1))
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(log (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* 1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))
(* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 u1))
(- (+ (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 (pow u1 2))) (/ -1 u1))
(- (+ (* -1 (/ (+ (* -1 u1) (* -1/12 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1))))) (/ -1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))
(+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))
(+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2))
(+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))
(+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/4 (* (/ (sqrt 2) (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2))))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (sqrt 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2))))
(log (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (/ 1 u1)))
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (/ 1/2 u1) (* 1/2 (/ 1 (pow u1 2)))))
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 u1) (* -1/24 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (/ 1/2 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (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)))
(* (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 (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 (sqrt (/ 1 (- 1 u1))))) (sqrt 2))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)))
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))))))
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 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)))))))
(* 2 (* u2 (sqrt (PI))))
(* 2 (* u2 (sqrt (PI))))
(* 2 (* u2 (sqrt (PI))))
(* 2 (* u2 (sqrt (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))))
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(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 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))))
(* 2 (* u2 (sqrt (PI))))
(* 2 (* u2 (sqrt (PI))))
(* 2 (* u2 (sqrt (PI))))
(* 2 (* u2 (sqrt (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))))
(* 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))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 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))))
(* 2 (* u2 (sqrt (PI))))
(* 2 (* u2 (sqrt (PI))))
(* 2 (* u2 (sqrt (PI))))
(* 2 (* u2 (sqrt (PI))))

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

rewrite64.0ms (0.7%)

Memory

14.6MiB live, 97.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	208
0	76	175
1	163	156
0	698	150

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

24 → 129

Calls

Call 1

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

Outputs
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eval57.0ms (0.6%)

Memory: -20.4MiB live, 133.9MiB allocated
Compiler: Compiled 14 303 to 1 597 computations (88.8% saved)

prune55.0ms (0.6%)

Memory

17.7MiB live, 145.1MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	578	23	601
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	583	28	611

Accuracy

91.4%

Counts

611 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.0%	(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.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)))
▶	43.6%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.2%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.0%	(.f32 (sqrt.f32 (/.f32 (.f32 #s(literal 2 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.4%	(.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 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)))
	56.8%	(.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))))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
✓	56.8%	(.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)))
	49.9%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.4%	(.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)))))
✓	62.3%	(.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)))))
✓	62.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	56.9%	(.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)))
▶	74.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
	74.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))
▶	74.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	64.0%	(.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))))
	64.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	57.0%	(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.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)))
	44.5%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	42.9%	(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.2%	(.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)))
	73.4%	(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.2%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.2%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.6%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	49.3%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))

Compiler

Compiled 969 to 834 computations (13.9% saved)

simplify339.0ms (3.6%)

Memory

-22.8MiB live, 333.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
cost-diff	64	(-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
cost-diff	0	(sqrt.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))
cost-diff	0	(sqrt.f32 #s(literal 2 binary32))
cost-diff	0	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1)))))
cost-diff	0	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	0	(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 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
cost-diff	9792	(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	390
0	90	400
1	139	358
2	216	358
3	355	358
4	620	358
5	1109	358
6	1822	358
7	3236	358
8	4334	358
9	5228	358
10	5674	358
11	5823	358
12	5962	358
13	5969	358
14	5979	358
15	5979	358
16	6009	358
17	6018	358
18	6036	358
19	6082	358
20	6150	358
21	6806	358
0	8556	358

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

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

localize136.0ms (1.4%)

Memory

-5.5MiB live, 272.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28668873993272953	(-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
accuracy	0.34375	(*.f32 u2 (PI.f32))
accuracy	0.5263862793053261	(.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
accuracy	8.96550411079562	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.140625	(sqrt.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))
accuracy	0.3046875	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1)))))
accuracy	0.34375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	15.637866096185514	(log1p.f32 (neg.f32 u1))
accuracy	0.28515625	(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
accuracy	0.34375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	4.292826541669575	#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
accuracy	8.481846751164227	(fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))
accuracy	0	(neg.f32 (sqrt.f32 u1))
accuracy	0.140625	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	6.394514596033401	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	30.901640386046633	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.140625	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
accuracy	0.31640625	(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
accuracy	0.51171875	(.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
accuracy	8.96550411079562	#s(approx (log (- 1 u1)) (neg.f32 u1))

Samples

85.0ms

256×

valid

Compiler

Compiled 340 to 44 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 24.0ms (37.7% of total)

ival-sqrt: 7.0ms (11% of total)

ival-cosu: 6.0ms (9.4% of total)

ival-sub: 4.0ms (6.3% of total)

ival-log: 4.0ms (6.3% of total)

ival-sinu: 4.0ms (6.3% of total)

ival-cos: 3.0ms (4.7% of total)

ival-pow2: 3.0ms (4.7% of total)

ival-neg: 3.0ms (4.7% of total)

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

ival-log1p: 2.0ms (3.1% of total)

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

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

exact: 1.0ms (1.6% of total)

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

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

series108.0ms (1.1%)

Memory

40.5MiB live, 197.7MiB allocated

Counts

27 → 372

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	u1	@	inf	((* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1))))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (log (- 1 u1)) (* (* u2 2) (pow (cbrt (PI)) 2)) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (* 2 (PI)) u2) (* (+ (* -1/2 u1) -1) u1) (log (+ 1 (neg u1))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI)))
14.0ms	u2	@	-inf	((* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1))))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (log (- 1 u1)) (* (* u2 2) (pow (cbrt (PI)) 2)) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (* 2 (PI)) u2) (* (+ (* -1/2 u1) -1) u1) (log (+ 1 (neg u1))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI)))
13.0ms	u2	@	inf	((* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1))))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (log (- 1 u1)) (* (* u2 2) (pow (cbrt (PI)) 2)) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (* 2 (PI)) u2) (* (+ (* -1/2 u1) -1) u1) (log (+ 1 (neg u1))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI)))
6.0ms	u2	@	0	((* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1))))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (log (- 1 u1)) (* (* u2 2) (pow (cbrt (PI)) 2)) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (* 2 (PI)) u2) (* (+ (* -1/2 u1) -1) u1) (log (+ 1 (neg u1))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI)))
6.0ms	u1	@	0	((* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (pow (cbrt (PI)) 2)) (cbrt (PI))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1))))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (log (- 1 u1)) (* (* u2 2) (pow (cbrt (PI)) 2)) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (* 2 (PI)) u2) (* (+ (* -1/2 u1) -1) u1) (log (+ 1 (neg u1))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI)))

simplify197.0ms (2.1%)

Memory

-30.3MiB live, 282.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	711	9425
1	2288	7967
0	8035	7621

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 370

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)))))))
(* (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))))))))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(sqrt u1)
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(+ (* -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)))
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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)))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1/2) (sqrt 2))) (sqrt -1)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (* (sqrt -1/2) (sqrt 2))))))
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(* (sqrt u1) (* (sqrt -1) (sqrt -1/2)))
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(* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
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-1
(- (* -1/2 u1) 1)
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (sqrt -1/2) (sqrt -1)))) (* 1/2 (* (/ (* (sqrt -1/2) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sqrt -1) (sqrt -1/2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (* (sqrt -1/2) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (/ (* (sqrt -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))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (sqrt -1/2) (sqrt -1))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sqrt -1) (sqrt -1/2))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(+ (* -1/2 (* (/ (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 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))))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* -1/2 u1)
(* -1 (* u1 (+ 1/2 (/ 1 u1))))
(* -1 (* u1 (+ 1/2 (/ 1 u1))))
(* -1 (* u1 (+ 1/2 (/ 1 u1))))
(* -1/2 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* (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))) (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) (sqrt 2)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1/2) (sqrt 2)))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (* (sqrt -1/2) (sqrt 2))))
(+ (* (sqrt (log (- 1 u1))) (* (sqrt -1/2) (sqrt 2))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (sqrt -1/2) (sqrt 2))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1/2) (sqrt 2)))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (* (sqrt -1/2) (sqrt 2))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (sqrt -1/2) (sqrt 2))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1/2) (sqrt 2)))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (* (sqrt -1/2) (sqrt 2))) (sqrt (log (- 1 u1))))))))))
1
(+ 1 (* (pow u2 2) (- (* -1 (pow (PI) 2)) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (sqrt (log (- 1 u1)))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (sqrt (log (- 1 u1)))))))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (+ (* 1/36 (pow (PI) 6)) (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))))))) (pow (PI) 2)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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))))
(* (* (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 -1/2) (sqrt 2))) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1/2) (sqrt 2))) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1/2) (sqrt 2))) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1/2) (sqrt 2))) (sqrt (log (- 1 u1))))
(- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))
(- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))
(- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))
(- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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))))
(* (* (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 -1/2) (sqrt 2))) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1/2) (sqrt 2))) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1/2) (sqrt 2))) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1/2) (sqrt 2))) (sqrt (log (- 1 u1))))
(- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))
(- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))
(- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))
(- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(* 2 (* u2 (cbrt (pow (PI) 2))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))

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

rewrite170.0ms (1.8%)

Memory

19.9MiB live, 295.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	274
0	90	220
1	238	214
2	1291	196
0	8663	180

Stop Event

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

Counts

27 → 724

Calls

Call 1

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

Outputs
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eval126.0ms (1.3%)

Memory: 3.6MiB live, 274.5MiB allocated
Compiler: Compiled 37 189 to 3 852 computations (89.6% saved)

prune75.0ms (0.8%)

Memory

8.9MiB live, 208.4MiB allocated

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1 259	25	1 284
Fresh	8	12	20
Picked	3	2	5
Done	1	2	3
Total	1 271	41	1 312

Accuracy

98.2%

Counts

1 312 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.0%	(.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 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
▶	74.0%	(.f32 (+.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))))
▶	62.3%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) #s(approx (log (+ 1 (neg u1))) (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.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)))))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	56.4%	(.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 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)))
	56.8%	(.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))))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
✓	56.8%	(.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)))
	62.4%	(.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)))))
✓	62.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	87.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (.f32 (.f32 #s(literal -1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	6.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	6.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))) (.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	56.8%	(.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)))
	6.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	87.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2))) (sin.f32 (.f32 u2 (PI.f32))))))
	69.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2))))
	64.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 (PI.f32) u2 (.f32 (PI.f32) u2))))
	74.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))
	74.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 #s(approx (* (* u2 2) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))))
▶	64.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (- ( (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) #s(literal 1 binary32)))
	64.0%	(.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))))
	56.2%	(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.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)))
	57.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.2%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	73.3%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	73.2%	(.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)))
	73.4%	(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.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))))
✓	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.2%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.6%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	49.3%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))

Compiler

Compiled 1 599 to 1 349 computations (15.6% saved)

simplify162.0ms (1.7%)

Memory

-12.8MiB live, 233.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (PI.f32) u2)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) u2))
cost-diff	0	(+.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))
cost-diff	0	(.f32 (+.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))))
cost-diff	0	(sqrt.f32 #s(literal 2 binary32))
cost-diff	0	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	0	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (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))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	64	(-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 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	(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 (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (.f32 (.f32 #s(literal -1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (neg.f32 u1))))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (.f32 (.f32 #s(literal -1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	128	(-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (neg.f32 u1))
cost-diff	4000	(/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (.f32 (.f32 #s(literal -1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (neg.f32 u1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	568
0	93	653
1	163	596
2	293	596
3	898	472
4	4000	470
0	8770	436

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.3%)

Memory

4.6MiB live, 242.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.30078125	(.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))
accuracy	0.34375	(*.f32 (PI.f32) u2)
accuracy	0.3701362793053261	(.f32 (+.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))))
accuracy	8.96550411079562	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.140625	(sqrt.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.3046875	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	0.34375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	12.754973611287095	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.140625	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.28515625	(.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)
accuracy	0.34375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	4.292826541669575	#s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1))
accuracy	0.12890625	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	0.140625	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (- ( (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) #s(literal 1 binary32)))
accuracy	6.394514596033401	#s(approx (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) #s(literal 1 binary32))
accuracy	8.96550411079562	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.140625	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (.f32 (.f32 #s(literal -1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.34375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.49056625976844204	(.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (.f32 (*.f32 #s(literal -1/2 binary32) u1) u1))
accuracy	4.292826541669575	#s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (.f32 (.f32 #s(literal -1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (neg.f32 u1))))

Samples

90.0ms

256×

valid

Compiler

Compiled 407 to 43 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 30.0ms (44.7% of total)

ival-cosu: 9.0ms (13.4% of total)

ival-sub: 8.0ms (11.9% of total)

ival-sqrt: 5.0ms (7.5% of total)

ival-log: 4.0ms (6% of total)

ival-sinu: 3.0ms (4.5% of total)

ival-neg: 3.0ms (4.5% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series63.0ms (0.7%)

Memory

19.7MiB live, 138.0MiB allocated

Counts

28 → 396

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
13.0ms	u2	@	-inf	((/ (- (* (* (* -1/2 u1) u1) (* (* -1/2 u1) u1)) (* u1 u1)) (- (* (* -1/2 u1) u1) (neg u1))) (- (* (* -1/2 u1) u1) (neg u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (- 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (- 1 u1))))) (sqrt 2) (* (+ (sin (* (PI) u2)) (cos (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (sqrt (neg (log (- 1 u1)))))) (+ (sin (* (PI) u2)) (cos (* (PI) u2))) (sin (* (PI) u2)) (* (PI) u2) (log (- 1 u1)) (* (* (* -1/2 u1) u1) (* (* -1/2 u1) u1)) (* (* 2 (PI)) u2) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (log (- 1 u1)) (* (- (* -1/2 u1) 1) u1) (sqrt (* -1/2 (log (- 1 u1)))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (sqrt (neg (log (- 1 u1))))))
10.0ms	u2	@	inf	((/ (- (* (* (* -1/2 u1) u1) (* (* -1/2 u1) u1)) (* u1 u1)) (- (* (* -1/2 u1) u1) (neg u1))) (- (* (* -1/2 u1) u1) (neg u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (- 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (- 1 u1))))) (sqrt 2) (* (+ (sin (* (PI) u2)) (cos (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (sqrt (neg (log (- 1 u1)))))) (+ (sin (* (PI) u2)) (cos (* (PI) u2))) (sin (* (PI) u2)) (* (PI) u2) (log (- 1 u1)) (* (* (* -1/2 u1) u1) (* (* -1/2 u1) u1)) (* (* 2 (PI)) u2) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (log (- 1 u1)) (* (- (* -1/2 u1) 1) u1) (sqrt (* -1/2 (log (- 1 u1)))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (sqrt (neg (log (- 1 u1))))))
7.0ms	u1	@	-inf	((/ (- (* (* (* -1/2 u1) u1) (* (* -1/2 u1) u1)) (* u1 u1)) (- (* (* -1/2 u1) u1) (neg u1))) (- (* (* -1/2 u1) u1) (neg u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (- 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (- 1 u1))))) (sqrt 2) (* (+ (sin (* (PI) u2)) (cos (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (sqrt (neg (log (- 1 u1)))))) (+ (sin (* (PI) u2)) (cos (* (PI) u2))) (sin (* (PI) u2)) (* (PI) u2) (log (- 1 u1)) (* (* (* -1/2 u1) u1) (* (* -1/2 u1) u1)) (* (* 2 (PI)) u2) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (log (- 1 u1)) (* (- (* -1/2 u1) 1) u1) (sqrt (* -1/2 (log (- 1 u1)))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (sqrt (neg (log (- 1 u1))))))
4.0ms	u1	@	inf	((/ (- (* (* (* -1/2 u1) u1) (* (* -1/2 u1) u1)) (* u1 u1)) (- (* (* -1/2 u1) u1) (neg u1))) (- (* (* -1/2 u1) u1) (neg u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (- 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (- 1 u1))))) (sqrt 2) (* (+ (sin (* (PI) u2)) (cos (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (sqrt (neg (log (- 1 u1)))))) (+ (sin (* (PI) u2)) (cos (* (PI) u2))) (sin (* (PI) u2)) (* (PI) u2) (log (- 1 u1)) (* (* (* -1/2 u1) u1) (* (* -1/2 u1) u1)) (* (* 2 (PI)) u2) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (log (- 1 u1)) (* (- (* -1/2 u1) 1) u1) (sqrt (* -1/2 (log (- 1 u1)))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (sqrt (neg (log (- 1 u1))))))
3.0ms	u1	@	0	((/ (- (* (* (* -1/2 u1) u1) (* (* -1/2 u1) u1)) (* u1 u1)) (- (* (* -1/2 u1) u1) (neg u1))) (- (* (* -1/2 u1) u1) (neg u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (- 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (- 1 u1))))) (sqrt 2) (* (+ (sin (* (PI) u2)) (cos (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (sqrt (neg (log (- 1 u1)))))) (+ (sin (* (PI) u2)) (cos (* (PI) u2))) (sin (* (PI) u2)) (* (PI) u2) (log (- 1 u1)) (* (* (* -1/2 u1) u1) (* (* -1/2 u1) u1)) (* (* 2 (PI)) u2) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (log (- 1 u1)) (* (- (* -1/2 u1) 1) u1) (sqrt (* -1/2 (log (- 1 u1)))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (sqrt (neg (log (- 1 u1))))))

simplify492.0ms (5.2%)

Memory

-237.8MiB live, 292.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	902	10793
1	2911	9220
2	7361	9128
0	8124	8737

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 393

Calls

Call 1

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

rewrite221.0ms (2.3%)

Memory

4.8MiB live, 357.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	398
0	93	389
1	299	278
2	1905	278
0	9028	250

Stop Event

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

Counts

28 → 801

Calls

Call 1

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

Outputs
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eval180.0ms (1.9%)

Memory: 36.7MiB live, 429.7MiB allocated
Compiler: Compiled 49 746 to 4 568 computations (90.8% saved)

prune142.0ms (1.5%)

Memory

-12.5MiB live, 228.3MiB allocated

Pruning

65 alts after pruning (61 fresh and 4 done)

	Pruned	Kept	Total
New	1 364	34	1 398
Fresh	5	27	32
Picked	4	1	5
Done	1	3	4
Total	1 374	65	1 439

Accuracy

98.4%

Counts

1 439 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.0%	(.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 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	63.9%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) #s(literal 1 binary32)))
	74.0%	(.f32 (+.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2))) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))))
	74.0%	(.f32 (+.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (-.f32 (cos.f32 (.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sin.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))))
	73.2%	(.f32 (+.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (exp.f32 (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32)))))
	68.6%	(.f32 (+.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(approx (sin ( (PI) u2)) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))))
	62.2%	(.f32 (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.0%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	17.9%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (fma.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 u2 (PI.f32)))))
	54.5%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (fma.f32 (PI.f32) u2 (.f32 u2 (PI.f32)))))
	62.3%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	74.1%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) #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)))
	74.1%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (- ( (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) #s(literal 1 binary32)))
	74.1%	(.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)))))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	56.4%	(.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 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)))
	56.8%	(.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))))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
✓	56.8%	(.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)))
	62.4%	(.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)))))
✓	62.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) (.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	17.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1 binary32) u1 (.f32 (.f32 u1 #s(literal -1/2 binary32)) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) u1) u1) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (.f32 (.f32 #s(literal -1/2 binary32) u1) u1)) (.f32 u1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (neg.f32 u1)))))) (cos.f32 (fma.f32 (PI.f32) u2 (.f32 u2 (PI.f32)))))
	87.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (.f32 (.f32 #s(literal -1/2 binary32) u1) u1)) (.f32 u1 u1)) #s(approx (- ( (* -1/2 u1) u1) (neg u1)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	6.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	7.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1))) (.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	66.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 0 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 #s(literal -1/2 binary32)) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) #s(literal 1 binary32)))
	66.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	6.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) u1)))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	9.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 8 binary32))) (pow.f32 u1 #s(literal 4 binary32))) u1) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)) (.f32 u1 u1))) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	68.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 u1 u1) (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) u1 (neg.f32 u1)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (fma.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 u2 (PI.f32)))))
	72.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (fma.f32 (.f32 u2 #s(literal 1 binary32)) (PI.f32) (*.f32 u2 (PI.f32)))))
	72.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))))
	72.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
	87.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	87.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	69.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2))))
	64.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 (PI.f32) u2 (.f32 (PI.f32) u2))))
	74.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))
	74.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 #s(approx (* (* u2 2) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) u2) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))))
	64.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (- ( (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
✓	64.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (- ( (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) #s(literal 1 binary32)))
	64.0%	(.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))))
	86.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx (/ (- ( (* (* -1/2 u1) u1) (* (* -1/2 u1) u1)) (* u1 u1)) (- (* (* -1/2 u1) u1) (neg u1))) (.f32 (.f32 (neg.f32 u1) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.3%	(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.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)))
	64.0%	(.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 (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) #s(literal 1 binary32)))
	64.0%	(.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 (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) #s(literal 1 binary32)))
	56.9%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.2%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	73.3%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	73.2%	(.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)))
	73.4%	(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.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))))
✓	4.4%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.2%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.6%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	49.3%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))

Compiler

Compiled 3 240 to 1 623 computations (49.9% saved)

regimes288.0ms (3%)

Memory

-7.4MiB live, 503.6MiB allocated

Counts

92 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

38.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
29.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
28.0ms	u2
27.0ms	cosTheta_i
26.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
89.0%	1	`cosTheta_i`
97.5%	2	`u1`
89.0%	1	`u2`
97.3%	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)))`
97.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
89.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
89.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes119.0ms (1.3%)

Memory

8.3MiB live, 239.8MiB allocated

Counts

77 → 2

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
22.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
22.0ms	u1
22.0ms	(-.f32 #s(literal 1 binary32) u1)
21.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

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

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes94.0ms (1%)

Memory

10.1MiB live, 209.2MiB allocated

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

19.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
16.0ms	u1
15.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
14.0ms	(-.f32 #s(literal 1 binary32) u1)
14.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
94.2%	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)))`
93.9%	2	`u1`
93.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
93.9%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.9%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
93.9%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 32 to 43 computations (-34.4% saved)

regimes17.0ms (0.2%)

Memory

-11.6MiB live, 31.1MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

(*.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
94.1%	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)))`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes78.0ms (0.8%)

Memory

27.2MiB live, 102.8MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

23.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
12.0ms	(-.f32 #s(literal 1 binary32) u1)
11.0ms	u1
10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms	(.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
93.1%	2	`u1`
93.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
93.1%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.1%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
93.1%	2	`(-.f32 #s(literal 1 binary32) u1)`
93.3%	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 32 to 43 computations (-34.4% saved)

regimes97.0ms (1%)

Memory

-6.9MiB live, 191.1MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

10 calls:

11.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
11.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms	u1
10.0ms	u2
9.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
87.1%	1	`cosTheta_i`
87.1%	1	`u2`
87.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
87.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
87.1%	1	`u1`
87.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
87.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
87.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
87.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
87.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes77.0ms (0.8%)

Memory

-0.1MiB live, 125.2MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

10 calls:

13.0ms	u2
9.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
8.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
7.0ms	u1
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
87.1%	1	`cosTheta_i`
87.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
87.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
87.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
87.1%	1	`u1`
87.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
87.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
87.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
87.1%	1	`u2`
87.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes88.0ms (0.9%)

Memory

4.2MiB live, 84.2MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

10 calls:

20.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
20.0ms	(-.f32 #s(literal 1 binary32) u1)
6.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	u2
6.0ms	u1

Results

Accuracy	Segments	Branch
74.2%	1	`cosTheta_i`
74.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
74.2%	1	`(-.f32 #s(literal 1 binary32) u1)`
74.2%	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)))`
74.2%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
74.2%	1	`u1`
74.2%	1	`u2`
74.2%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
74.2%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
74.2%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes46.0ms (0.5%)

Memory

4.3MiB live, 79.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

10 calls:

7.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	u2
4.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.0ms	cosTheta_i
4.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
64.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
64.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
64.0%	1	`u2`
64.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
64.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
64.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
64.0%	1	`u1`
64.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
64.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
64.0%	1	`cosTheta_i`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes16.0ms (0.2%)

Memory

-0.1MiB live, 37.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

3.0ms	u1
2.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
1.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
1.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
4.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
4.4%	1	`(-.f32 #s(literal 1 binary32) u1)`
4.4%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
4.4%	1	`cosTheta_i`
4.4%	1	`u2`
4.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
4.4%	1	`u1`
4.4%	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)))`
4.4%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
4.4%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9936640858650208	0.9939036965370178

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9936640858650208	0.9939036965370178

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.16163168847560883	0.1731196641921997

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.16163168847560883	0.1731196641921997

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0943184420466423	0.09629328548908234

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify53.0ms (0.6%)

Memory

-6.8MiB live, 38.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	436
1	155	436
2	179	436
3	193	436
4	194	436

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16673197/16777216 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 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 u1 u1) (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) u1 (neg.f32 u1)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16673197/16777216 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 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 u1 u1) (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) u1 (neg.f32 u1)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (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 11408507/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 u1 u1) (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) u1 (neg.f32 u1)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 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 11408507/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 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 3187671/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16673197/16777216 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 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 u1 u1) (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) u1 (neg.f32 u1)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16673197/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 (.f32 u2 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u1 (neg.f32 u1)) (-.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal -1 binary32))) (/.f32 u1 u1)))))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16673197/16777216 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 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 u1 u1) (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) u1 (neg.f32 u1)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16673197/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u1 (neg.f32 u1)) (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal -1 binary32))) (/.f32 u1 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 11408507/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 u1 u1) (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) u1 (neg.f32 u1)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 11408507/67108864 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u1 (neg.f32 u1)) (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal -1 binary32))) (/.f32 u1 u1)))))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.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 11408507/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 11408507/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)) (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal -1 binary32))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.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 3187671/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3187671/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (cos.f32 (.f32 (+.f32 u2 u2) (PI.f32))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

soundness937.0ms (9.9%)

Memory

14.7MiB live, 921.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	398
0	93	389
1	299	278
2	1905	278
0	9028	250
0	289	1737
1	858	1458
2	2729	1335
3	6880	1298
0	8135	1246
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23
0	869	9281
1	2637	7838
0	8233	7466
0	53	274
0	90	220
1	238	214
2	1291	196
0	8663	180

Stop Event

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

Compiler

Compiled 895 to 573 computations (36% saved)

preprocess354.0ms (3.7%)

Memory

-21.3MiB live, 143.8MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 196 to 588 computations (50.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	43	310
0	76	283
1	110	277
2	143	277
3	163	277
4	177	277
5	196	277
6	220	277
7	224	277
0	224	267

Iter	Nodes	Cost
0	43	310
0	76	283
1	110	277
2	143	277
3	163	277
4	177	277
5	196	277
6	220	277
7	224	277
0	224	267

start0.0ms (0%)

analyze345.0ms (3.6%)

sample2.4s (24.9%)

explain251.0ms (2.7%)

preprocess97.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize56.0ms (0.6%)

series92.0ms (1%)

simplify390.0ms (4.1%)

rewrite408.0ms (4.3%)

eval38.0ms (0.4%)

prune17.0ms (0.2%)

simplify10.0ms (0.1%)

localize118.0ms (1.2%)

series112.0ms (1.2%)

simplify192.0ms (2%)

rewrite64.0ms (0.7%)

eval57.0ms (0.6%)

prune55.0ms (0.6%)

simplify339.0ms (3.6%)

localize136.0ms (1.4%)

series108.0ms (1.1%)

simplify197.0ms (2.1%)

rewrite170.0ms (1.8%)

eval126.0ms (1.3%)

prune75.0ms (0.8%)

simplify162.0ms (1.7%)

localize126.0ms (1.3%)

series63.0ms (0.7%)

simplify492.0ms (5.2%)

rewrite221.0ms (2.3%)

eval180.0ms (1.9%)

prune142.0ms (1.5%)

regimes288.0ms (3%)

regimes119.0ms (1.3%)

regimes94.0ms (1%)

regimes17.0ms (0.2%)

regimes78.0ms (0.8%)

regimes97.0ms (1%)

regimes77.0ms (0.8%)

regimes88.0ms (0.9%)

regimes46.0ms (0.5%)

regimes16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify53.0ms (0.6%)

soundness937.0ms (9.9%)

preprocess354.0ms (3.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	43	310
0	76	283
1	110	277
2	143	277
3	163	277
4	177	277
5	196	277
6	220	277
7	224	277
0	224	267