Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze388.0ms (4%)

Memory

-5.1MiB live, 475.5MiB 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)

sample2.1s (21.4%)

Memory

-42.2MiB live, 2 857.9MiB allocated

Samples

1.7s	8 256×	0	valid
1.0ms	7×	0	invalid

Precisions

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

ival-log: 410.0ms (30.4% of total)

const: 328.0ms (24.3% of total)

ival-sinu: 140.0ms (10.4% of total)

ival-<=: 102.0ms (7.6% of total)

ival-mult: 90.0ms (6.7% of total)

ival-sub: 73.0ms (5.4% of total)

ival-sqrt: 63.0ms (4.7% of total)

ival-neg: 63.0ms (4.7% of total)

ival-and: 36.0ms (2.7% of total)

ival->: 36.0ms (2.7% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain438.0ms (4.5%)

Memory

14.5MiB live, 290.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
194	8	(0.999925434589386 0.004775821231305599 2.0810189127473677e-9)	4	(0.9999802708625793 0.012382240034639835 0.2285495549440384)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	198	17

Confusion

	Predicted +	Predicted -
+	183	1
-	15	57

Precision

0.9242424242424242

Recall

0.9945652173913043

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	183	1	0
-	15	16	41

Precision?

0.8558139534883721

Recall?

1.0

Freqs

test

number	freq
0	58
1	198

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

213.0ms

512×

valid

Compiler

Compiled 167 to 60 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-log: 116.0ms (77.6% of total)

ival-mult: 13.0ms (8.7% of total)

ival-sinu: 8.0ms (5.4% of total)

ival-sub: 3.0ms (2% of total)

ival-sqrt: 3.0ms (2% of total)

ival-neg: 3.0ms (2% of total)

ival-pi: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

preprocess54.0ms (0.5%)

Memory

-38.6MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	122
1	99	117
2	190	117
3	353	117
4	638	117
5	1063	117
6	1361	117
7	1703	117
8	2007	117
9	2064	117
10	2089	117
11	2097	117
0	13	13
0	22	13
1	34	13
2	46	13
3	55	13
4	63	13
5	75	13
6	89	13
7	97	13
8	100	13
0	100	12

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs cosTheta_i)

(negabs u2)

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)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB 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)))) (sin.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)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

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

localize41.0ms (0.4%)

Memory

-9.2MiB live, 68.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.17505383277819153	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.32421875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.36556625976844204	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	13.644820974670594	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

30.0ms

256×

valid

Compiler

Compiled 102 to 30 computations (70.6% saved)

Precisions

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

ival-log: 7.0ms (32.2% of total)

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

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series71.0ms (0.7%)

Memory

19.6MiB live, 100.7MiB allocated

Counts

6 → 84

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	u2	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)))
7.0ms	u2	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)))
3.0ms	u2	@	0	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)))
3.0ms	u1	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)))

simplify217.0ms (2.2%)

Memory

-1.0MiB live, 224.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	318	1889
1	971	1610
2	3155	1483
3	7437	1469
0	8014	1412

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

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

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

rewrite143.0ms (1.5%)

Memory

8.0MiB live, 201.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	22	39
1	65	39
2	319	39
3	2338	37
0	8627	29

Stop Event

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

Counts

6 → 234

Calls

Call 1

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

Outputs
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eval96.0ms (1%)

Memory: -29.1MiB live, 100.5MiB allocated
Compiler: Compiled 6 925 to 1 461 computations (78.9% saved)

prune20.0ms (0.2%)

Memory

26.6MiB live, 65.2MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	301	16	317
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	301	17	318

Accuracy

92.3%

Counts

318 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	36.0%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.2%	(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
▶	35.3%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.9%	(.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))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	60.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	21.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)))
▶	59.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
	39.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	15.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	4.0%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 537 to 508 computations (5.4% saved)

simplify348.0ms (3.6%)

Memory

6.5MiB live, 317.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	9792	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	6144	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
cost-diff	0	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	#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)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	299
0	76	287
1	113	283
2	170	275
3	246	275
4	278	275
5	328	275
6	470	275
7	668	275
8	1153	275
9	1774	275
10	3605	275
11	5294	275
12	5904	275
13	6158	275
14	6328	275
15	6394	275
16	6470	275
17	7532	275
0	8012	265

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

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

localize170.0ms (1.7%)

Memory

0.8MiB live, 330.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.17578125	(*.f32 (cbrt.f32 (PI.f32)) u2)
accuracy	0.36556625976844204	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
accuracy	0.583358789073768	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
accuracy	13.644820974670594	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.32421875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.36328125	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.4638862793053261	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
accuracy	29.30094156168738	(log1p.f32 u1)
accuracy	0.32421875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.36556625976844204	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	16.91904291185103	(log1p.f32 (*.f32 (neg.f32 u1) u1))
accuracy	19.63564513018818	(log1p.f32 u1)
accuracy	0.17505383277819153	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.32421875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.36556625976844204	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	30.897071883898587	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.17505383277819153	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.32421875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.36556625976844204	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	8.489481023582673	#s(approx (log (- 1 u1)) (neg.f32 u1))

Samples

137.0ms

256×

valid

Compiler

Compiled 576 to 75 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 71.0ms (63.8% of total)

ival-sin: 5.0ms (4.5% of total)

ival-sinu: 5.0ms (4.5% of total)

ival-sqrt: 5.0ms (4.5% of total)

ival-pow2: 5.0ms (4.5% of total)

ival-log: 4.0ms (3.6% of total)

ival-log1p: 4.0ms (3.6% of total)

ival-pow: 4.0ms (3.6% of total)

ival-sub: 3.0ms (2.7% of total)

ival-neg: 3.0ms (2.7% of total)

ival-cbrt: 2.0ms (1.8% of total)

ival-pi: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series112.0ms (1.1%)

Memory

-2.7MiB live, 233.4MiB allocated

Counts

23 → 336

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	u2	@	inf	((* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sin (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (cbrt (PI)) u2))
26.0ms	u2	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sin (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (cbrt (PI)) u2))
13.0ms	u1	@	inf	((* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sin (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (cbrt (PI)) u2))
7.0ms	u1	@	0	((* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sin (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (cbrt (PI)) u2))
6.0ms	u2	@	0	((* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sin (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (pow (cbrt (PI)) 2) (* (* (cbrt (PI)) u2) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (cbrt (PI)) u2))

simplify239.0ms (2.4%)

Memory

-14.7MiB live, 309.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	834	9018
1	2566	7523
0	8936	7138

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 333

Calls

Call 1

Inputs
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (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) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (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) (sin (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(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) (sin (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
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(+ (* -1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
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(+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* -39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
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(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (/ (- (+ (* -1/24 (+ (* 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)))))) (* 1/32 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/384 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) u1))) (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))))) u1)) (* -1/4 (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4))) u1)) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* (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) (* -2 (log (/ -1 u1))))
(- (+ (log -1) (* -2 (log (/ -1 u1)))) (/ 1 (pow u1 2)))
(+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2)))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* u2 (PI)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))))))))))
(* 2 (* (* u2 (PI)) (sqrt (log (+ 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (+ 1 u1))))) (* 2 (* (PI) (sqrt (log (+ 1 u1)))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (+ 1 u1))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (log (+ 1 u1)))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (log (+ 1 u1))))) (* 4/15 (* (pow (PI) 5) (sqrt (log (+ 1 u1)))))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sin (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))
(* u2 (cbrt (PI)))

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

rewrite166.0ms (1.7%)

Memory

34.7MiB live, 214.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	190
0	76	180
1	194	163
2	914	163
0	8338	151

Stop Event

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

Counts

23 → 492

Calls

Call 1

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

Outputs
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eval143.0ms (1.5%)

Memory: -28.8MiB live, 212.6MiB allocated
Compiler: Compiled 26 300 to 2 962 computations (88.7% saved)

prune149.0ms (1.5%)

Memory

13.1MiB live, 181.9MiB allocated

Pruning

45 alts after pruning (43 fresh and 2 done)

	Pruned	Kept	Total
New	998	37	1 035
Fresh	5	6	11
Picked	4	1	5
Done	0	1	1
Total	1 007	45	1 052

Accuracy

93.3%

Counts

1 052 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.4%	(.f32 (pow.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	15.1%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.4%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.2%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	75.1%	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	2.6%	(.f32 (/.f32 (sqrt.f32 (.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	35.1%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	37.7%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.3%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
	75.3%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	28.7%	(.f32 (sqrt.f32 (-.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 (neg.f32 u1))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	23.6%	(.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	27.6%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.8%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
	37.3%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	18.8%	(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	53.9%	(.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))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	21.7%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	35.4%	(.f32 (sqrt.f32 (.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (/.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	10.9%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 0 binary32)))))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	20.7%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2)) #s(literal 2 binary32)))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (*.f32 u2 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32)))) #s(literal 2 binary32)))))
✓	59.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32))))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
	74.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	75.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32))))))
	74.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
	75.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	65.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
	57.0%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	39.6%	(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	8.2%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	74.1%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (sqrt.f32 u1))) u1 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	4.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))

Compiler

Compiled 1 792 to 1 517 computations (15.3% saved)

simplify13.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB 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))))) (sin.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	(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)))) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) 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(literal 2 binary32))
cost-diff	0	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(pow.f32 (*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	128	(*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	396
0	82	375
1	124	375
2	191	375
3	293	375
4	332	375
5	352	375
6	367	375
7	370	375
0	370	356

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize258.0ms (2.6%)

Memory

-10.4MiB live, 291.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.17505383277819153	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.32421875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.36556625976844204	(.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))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	15.519253769089843	(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
accuracy	0.13671875	(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
accuracy	0.32421875	(*.f32 u2 (PI.f32))
accuracy	0.36556625976844204	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)))
accuracy	13.644820974670594	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.13671875	(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
accuracy	0.32421875	(*.f32 u2 (PI.f32))
accuracy	0.36556625976844204	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
accuracy	8.489481023582673	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.32421875	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
accuracy	0.36556625976844204	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
accuracy	5.628802877632065	#s(approx (sin (* (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))
accuracy	30.897071883898587	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.32421875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.36556625976844204	(.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)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.40853500976844204	(*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	8.489481023582673	#s(approx (log (- 1 u1)) (neg.f32 u1))

Samples

108.0ms

256×

valid

Compiler

Compiled 659 to 81 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 39.0ms (44.5% of total)

ival-log: 14.0ms (16% of total)

ival-pow: 12.0ms (13.7% of total)

ival-sinu: 7.0ms (8% of total)

ival-sqrt: 5.0ms (5.7% of total)

ival-cosu: 3.0ms (3.4% of total)

ival-neg: 3.0ms (3.4% of total)

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

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

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

exact: 1.0ms (1.1% of total)

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

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

series272.0ms (2.8%)

Memory

11.3MiB live, 206.7MiB allocated

Counts

26 → 372

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
48.0ms	u1	@	0	((* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (sqrt (neg (log (- 1 u1)))) 2) (* (cos (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) 2) (sqrt (neg (log (- 1 u1)))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) 2)) (sqrt (neg (log (- 1 u1)))) (neg (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)))) (sin (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (log (- 1 u1)) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (* (* (PI) 2) u2) (* u2 (PI)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sin (* (* 2 (PI)) u2)))
47.0ms	u1	@	inf	((* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (sqrt (neg (log (- 1 u1)))) 2) (* (cos (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) 2) (sqrt (neg (log (- 1 u1)))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) 2)) (sqrt (neg (log (- 1 u1)))) (neg (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)))) (sin (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (log (- 1 u1)) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (* (* (PI) 2) u2) (* u2 (PI)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sin (* (* 2 (PI)) u2)))
46.0ms	u2	@	inf	((* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (sqrt (neg (log (- 1 u1)))) 2) (* (cos (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) 2) (sqrt (neg (log (- 1 u1)))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) 2)) (sqrt (neg (log (- 1 u1)))) (neg (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)))) (sin (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (log (- 1 u1)) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (* (* (PI) 2) u2) (* u2 (PI)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sin (* (* 2 (PI)) u2)))
46.0ms	u2	@	-inf	((* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (sqrt (neg (log (- 1 u1)))) 2) (* (cos (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) 2) (sqrt (neg (log (- 1 u1)))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) 2)) (sqrt (neg (log (- 1 u1)))) (neg (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)))) (sin (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (log (- 1 u1)) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (* (* (PI) 2) u2) (* u2 (PI)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sin (* (* 2 (PI)) u2)))
43.0ms	u2	@	0	((* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (sqrt (neg (log (- 1 u1)))) 2) (* (cos (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) 2) (sqrt (neg (log (- 1 u1)))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) 2)) (sqrt (neg (log (- 1 u1)))) (neg (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)))) (sin (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (log (- 1 u1)) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (* (* (PI) 2) u2) (* u2 (PI)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sin (* (* 2 (PI)) u2)))

simplify211.0ms (2.2%)

Memory

-12.5MiB live, 196.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	999	10125
1	3207	8537
2	7895	8537
0	8032	8194

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 369

Calls

Call 1

Inputs
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
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) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
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(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* u2 (* (PI) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2 (* (* (PI) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 4/15 (* (* (pow (PI) 5) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow u2 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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 (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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 (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))

Outputs
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 u1))
(fma.f32 u1 u1 (pow.f32 u1 #s(literal 3 binary32)))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 5/6 binary32) u1 #s(literal 11/12 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))
(fma.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/4 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))))))
(fma.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))))))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 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)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))))) u1)) (.f32 u1 u1) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1)))
(* (sqrt u1) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(fma.f32 (/.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/4 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1)))))))
(fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 #s(literal -1 binary32))))) u1 (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/4 binary32))) (.f32 u1 u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) #s(literal -1 binary32))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) #s(literal -1 binary32)))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) #s(literal -1 binary32)))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1)) (.f32 u1 u1) (.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) #s(literal -1 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)))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal -1 binary32)) (cos.f32 (.f32 (PI.f32) u2))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(fma.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal -1 binary32)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
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(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
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(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32)) u2)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32))) (*.f32 u2 u2))))) u2)
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
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(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
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(* 2 (* (* u2 (* (PI) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))
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(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2 (* (* (PI) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))
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(* u2 (+ (* 2 (* (* (PI) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))))
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(* u2 (+ (* 2 (* (* (PI) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 4/15 (* (* (pow (PI) 5) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))))))
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(* 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))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (PI.f32) #s(literal 2 binary32))) u2)
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal 4/15 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (.f32 u2 u2) (.f32 (PI.f32) #s(literal 2 binary32))) u2)
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* 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))
(* u2 (PI))
(*.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)
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))
(.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) (*.f32 u2 u2) (PI.f32)) u2)
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(.f32 (fma.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 2/15 binary32)) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32))) (*.f32 u2 u2) (PI.f32)) u2)
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow u2 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))
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(* 2 (* u2 (PI)))
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(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
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(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
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(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
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(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.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))
(* u2 (PI))
(*.f32 (PI.f32) u2)
(* u2 (PI))
(*.f32 (PI.f32) u2)
(* u2 (PI))
(*.f32 (PI.f32) u2)
(* u2 (PI))
(*.f32 (PI.f32) u2)
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(.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)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(.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)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(.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)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sin (* 2 (* u2 (PI)))) (sqrt 2)))
(.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)) (sin.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))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.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))
(* u2 (PI))
(*.f32 (PI.f32) u2)
(* u2 (PI))
(*.f32 (PI.f32) u2)
(* u2 (PI))
(*.f32 (PI.f32) u2)
(* u2 (PI))
(*.f32 (PI.f32) u2)
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))

rewrite123.0ms (1.3%)

Memory

24.2MiB live, 140.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	283
0	82	244
1	185	205
0	734	195

Stop Event

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

Counts

26 → 214

Calls

Call 1

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

Outputs
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eval74.0ms (0.8%)

Memory: -7.1MiB live, 147.6MiB allocated
Compiler: Compiled 19 486 to 2 022 computations (89.6% saved)

prune101.0ms (1%)

Memory

-14.1MiB live, 187.4MiB allocated

Pruning

56 alts after pruning (51 fresh and 5 done)

	Pruned	Kept	Total
New	753	23	776
Fresh	10	28	38
Picked	2	3	5
Done	0	2	2
Total	765	56	821

Accuracy

93.7%

Counts

821 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.9%	(.f32 (pow.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	15.1%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.2%	(.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 (sin (* (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
	46.8%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.2%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
▶	75.1%	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	46.8%	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.4%	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	34.9%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	38.0%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 (.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (sin.f32 (.f32 u2 (PI.f32)))) (cos.f32 (*.f32 u2 (PI.f32))))
	75.3%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32))))) (sin.f32 (*.f32 u2 (PI.f32))))
	75.3%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))))
	74.8%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))))
	75.1%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓	75.3%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
▶	65.2%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	74.1%	(.f32 (.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
	75.3%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	32.5%	(.f32 (sqrt.f32 (-.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 (neg.f32 u1))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	23.6%	(.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	28.8%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	18.4%	(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.1%	(.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))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.9%	(.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))))) (sin.f32 (.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 u2 #s(literal 2 binary32))))))
	48.4%	(.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)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	21.7%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (.f32 u1 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	21.3%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))) #s(literal 2 binary32)))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)))
	52.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2)) #s(literal 2 binary32)))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (*.f32 u2 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32)))) #s(literal 2 binary32)))))
✓	59.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32))))))
▶	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32))))))
	75.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	57.0%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	40.7%	(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.8%	(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	8.4%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	74.1%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (sqrt.f32 u1))) u1 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
✓	4.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
	12.2%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (sin (* (* 2 (PI)) u2))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 #s(literal 4/15 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 #s(literal -8/315 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 u2 u2))))) (.f32 u2 u2))) (.f32 u2 u2) (.f32 (.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))) u2))
	74.9%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (sin (* (* 2 (PI)) u2))) (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))
	47.3%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (sin (* (* 2 (PI)) u2))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) u2)) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))))
	53.2%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (sin (* (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))

Compiler

Compiled 2 256 to 1 904 computations (15.6% saved)

simplify124.0ms (1.3%)

Memory

-7.5MiB live, 117.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	9792	(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
cost-diff	0	(pow.f32 u1 #s(literal 1/4 binary32))
cost-diff	0	#s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32)))
cost-diff	0	(pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32))
cost-diff	0	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))
cost-diff	0	#s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1)))
cost-diff	0	(pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32))
cost-diff	0	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(literal 2 binary32))
cost-diff	0	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
cost-diff	0	(*.f32 u1 u1)
cost-diff	0	#s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1))
cost-diff	0	(pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1)) #s(literal 1/4 binary32))
cost-diff	0	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	430
0	90	406
1	136	406
2	219	400
3	384	400
4	563	400
5	755	400
6	871	400
7	1091	400
8	1292	400
9	1635	400
10	2392	400
11	2851	400
12	2860	400
13	2860	400
14	2916	400
15	2940	400
16	2940	400
0	2940	373

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1)) #s(literal 1/4 binary32))
#s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1))
(*.f32 u1 u1)
u1
#s(literal 1/4 binary32)
(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 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(literal 2 binary32)
#s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32))
#s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1)))
(.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))
(fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32))
#s(literal 11/12 binary32)
u1
#s(literal 1 binary32)
(*.f32 u1 u1)
#s(literal 1/4 binary32)
(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32))
#s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32)))
(pow.f32 u1 #s(literal 1/4 binary32))
u1
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2)
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))
(cbrt.f32 (PI.f32))
(PI.f32)
#s(literal 2 binary32)
u2
(*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))

Outputs
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1)) #s(literal 1/4 binary32)))
(pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1)) #s(literal 1/4 binary32))
#s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1))
(*.f32 u1 u1)
u1
#s(literal 1/4 binary32)
(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.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 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 (.f32 #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (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)))) #s(literal 2 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(literal 2 binary32)
#s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2))
#s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(PI.f32)
u2
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1) u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32))
(pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1) u1)) #s(literal 1/4 binary32))
#s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1)))
#s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1) u1))
(.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))
(.f32 (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1) u1)
(fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32))
#s(literal 11/12 binary32)
u1
#s(literal 1 binary32)
(*.f32 u1 u1)
#s(literal 1/4 binary32)
(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32))
#s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32)))
(pow.f32 u1 #s(literal 1/4 binary32))
u1
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(sin.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.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
(sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2)
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))
(cbrt.f32 (PI.f32))
(PI.f32)
#s(literal 2 binary32)
u2
(*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))

localize153.0ms (1.6%)

Memory

30.2MiB live, 334.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3515625	(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
accuracy	0.36556625976844204	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
accuracy	0.51171875	(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2)
accuracy	13.644820974670594	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.36328125	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.4599800293053261	(pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32))
accuracy	6.963747479567015	#s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32)))
accuracy	0.36556625976844204	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	2.968601370095705	#s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1)))
accuracy	27.610403266616668	(fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
accuracy	28.818154281446613	(fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32))
accuracy	0.3203125	(*.f32 (PI.f32) u2)
accuracy	0.36556625976844204	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
accuracy	5.628404380959516	#s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2))
accuracy	8.404477066307042	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.17505383277819153	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.3203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.36556625976844204	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	9.135725817752027	#s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1))

Samples

104.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 662 to 89 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 25.0ms (29.6% of total)

ival-pow: 14.0ms (16.6% of total)

ival-add: 7.0ms (8.3% of total)

ival-sinu: 7.0ms (8.3% of total)

ival-pow2: 5.0ms (5.9% of total)

const: 4.0ms (4.7% of total)

ival-log: 4.0ms (4.7% of total)

ival-cosu: 3.0ms (3.5% of total)

ival-sin: 3.0ms (3.5% of total)

ival-sub: 2.0ms (2.4% of total)

ival-sqrt: 2.0ms (2.4% of total)

ival-cbrt: 2.0ms (2.4% of total)

ival-log1p: 2.0ms (2.4% of total)

ival-neg: 2.0ms (2.4% of total)

ival-pi: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series472.0ms (4.8%)

Memory

-11.0MiB live, 599.4MiB allocated

Counts

28 → 396

Calls

Call 1

Inputs
#s(alt (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (patch (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) (patch #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1)) #<representation binary32>) () ())
#s(alt (.f32 u1 u1) (patch (.f32 u1 u1) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (.f32 (PI.f32) u2))) (patch (.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 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 (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (patch (pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) (patch #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1)) (patch (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1)) #<representation binary32>) () ())
#s(alt (.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (patch (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) (patch #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #<representation binary32>) () ())
#s(alt (pow.f32 u1 #s(literal 1/4 binary32)) (patch (pow.f32 u1 #s(literal 1/4 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (patch (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #<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)))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (patch (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<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 #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (.f32 (PI.f32) u2)) (patch #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) u2) (patch (.f32 (PI.f32) u2) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) (patch (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #<representation binary32>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
97.0ms	u1	@	-inf	((* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* u1 u1) (* (* (sqrt (neg (log (- 1 u1)))) 2) (* (cos (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) 2) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (+ (* (+ (* 11/12 u1) 1) u1) 1) (* u1 u1)) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (pow (log (+ 1 u1)) 1/4) (pow u1 1/4) (* (* (pow (cbrt (PI)) 2) u2) (* (cbrt (PI)) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* (pow (cbrt (PI)) 2) u2) (* (cbrt (PI)) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (* (PI) u2) (+ (* 11/12 u1) 1) (+ (* (+ (* 11/12 u1) 1) u1) 1) (* (pow (cbrt (PI)) 2) u2))
34.0ms	u2	@	inf	((* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* u1 u1) (* (* (sqrt (neg (log (- 1 u1)))) 2) (* (cos (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) 2) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (+ (* (+ (* 11/12 u1) 1) u1) 1) (* u1 u1)) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (pow (log (+ 1 u1)) 1/4) (pow u1 1/4) (* (* (pow (cbrt (PI)) 2) u2) (* (cbrt (PI)) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* (pow (cbrt (PI)) 2) u2) (* (cbrt (PI)) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (* (PI) u2) (+ (* 11/12 u1) 1) (+ (* (+ (* 11/12 u1) 1) u1) 1) (* (pow (cbrt (PI)) 2) u2))
29.0ms	u2	@	-inf	((* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* u1 u1) (* (* (sqrt (neg (log (- 1 u1)))) 2) (* (cos (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) 2) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (+ (* (+ (* 11/12 u1) 1) u1) 1) (* u1 u1)) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (pow (log (+ 1 u1)) 1/4) (pow u1 1/4) (* (* (pow (cbrt (PI)) 2) u2) (* (cbrt (PI)) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* (pow (cbrt (PI)) 2) u2) (* (cbrt (PI)) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (* (PI) u2) (+ (* 11/12 u1) 1) (+ (* (+ (* 11/12 u1) 1) u1) 1) (* (pow (cbrt (PI)) 2) u2))
23.0ms	u1	@	inf	((* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* u1 u1) (* (* (sqrt (neg (log (- 1 u1)))) 2) (* (cos (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) 2) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (+ (* (+ (* 11/12 u1) 1) u1) 1) (* u1 u1)) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (pow (log (+ 1 u1)) 1/4) (pow u1 1/4) (* (* (pow (cbrt (PI)) 2) u2) (* (cbrt (PI)) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* (pow (cbrt (PI)) 2) u2) (* (cbrt (PI)) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (* (PI) u2) (+ (* 11/12 u1) 1) (+ (* (+ (* 11/12 u1) 1) u1) 1) (* (pow (cbrt (PI)) 2) u2))
23.0ms	u1	@	0	((* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* u1 u1) (* (* (sqrt (neg (log (- 1 u1)))) 2) (* (cos (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) 2) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (sin (* (* 2 (PI)) u2))) (pow (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) 1/4) (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (* (+ (* (+ (* 11/12 u1) 1) u1) 1) (* u1 u1)) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (sin (* (* 2 (PI)) u2))) (pow (pow (log (+ 1 u1)) 1/4) 2) (pow (log (+ 1 u1)) 1/4) (pow u1 1/4) (* (* (pow (cbrt (PI)) 2) u2) (* (cbrt (PI)) 2)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (sin (* (* (pow (cbrt (PI)) 2) u2) (* (cbrt (PI)) 2)))) (sqrt (neg (log (- 1 u1)))) (* (* 2 (PI)) u2) (sin (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (* (PI) u2) (+ (* 11/12 u1) 1) (+ (* (+ (* 11/12 u1) 1) u1) 1) (* (pow (cbrt (PI)) 2) u2))

simplify214.0ms (2.2%)

Memory

-5.2MiB live, 363.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1014	9909
1	3240	8431
0	8382	8058

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 395

Calls

Call 1

Inputs
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))
(+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))
(* 2 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (pow u1 3))) (* 2 (* (sqrt u1) (pow (sqrt -1) 2))))
(+ (* 2 (* (sqrt u1) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/3 (sqrt u1)))))
(+ (* 2 (* (sqrt u1) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/3 (sqrt (/ 1 u1))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
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) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1)))))))
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1)))))
(* (sqrt u1) (sin (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(pow (* 1 u1) 1/4)
(+ (* -1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* 23/384 (pow (* 1 (pow u1 5)) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* -39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(pow (* 1 u1) 1/4)
(pow (* 1 u1) 1/4)
(pow (* 1 u1) 1/4)
(pow (* 1 u1) 1/4)
(* -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))
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (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 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 (* 11/12 u1))
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(+ 1 (* 11/12 u1))
1
(+ 1 u1)
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(* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sin (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))) (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(+ (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))))
(+ (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (+ 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 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))))
(pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))))))
(pow u1 2)
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(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
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(* 2 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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(+ (* -1 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (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 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))
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(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* (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)))
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(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* 11/12 u1)
(* u1 (+ 11/12 (/ 1 u1)))
(* u1 (+ 11/12 (/ 1 u1)))
(* u1 (+ 11/12 (/ 1 u1)))
(* 11/12 (pow u1 2))
(* (pow u1 2) (+ 11/12 (/ 1 u1)))
(* (pow u1 2) (+ 11/12 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 11/12 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* 2 (* (* u2 (PI)) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (- 1 u1))))) (* 2 (* (PI) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (log (- 1 u1))))) (* 4/15 (* (pow (PI) 5) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* u2 (PI)) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (- 1 u1))))) (* 2 (* (PI) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (log (- 1 u1))))) (* 4/15 (* (pow (PI) 5) (sqrt (log (- 1 u1)))))))))))
(* 2 (* (* u2 (PI)) (sqrt (log (+ 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (+ 1 u1))))) (* 2 (* (PI) (sqrt (log (+ 1 u1)))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (+ 1 u1))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (log (+ 1 u1)))))))))
(* u2 (+ (* 2 (* (PI) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (log (+ 1 u1))))) (* 4/15 (* (pow (PI) 5) (sqrt (log (+ 1 u1)))))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* u2 (PI))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow u2 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
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(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
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(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (cbrt (pow (PI) 2)))
(* u2 (cbrt (pow (PI) 2)))
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(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))
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(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
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(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
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(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
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(* u2 (cbrt (pow (PI) 2)))

Outputs
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))))
(fma.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/4 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))))))
(fma.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (sin (* 2 (* u2 (PI)))) (sqrt -1)))))))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (/.f32 (.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) u1)) (.f32 u1 u1) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1)))
(* (sqrt u1) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
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(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 u1))))))
(pow.f32 (exp.f32 #s(literal 1/4 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 u1))))))
(pow.f32 (exp.f32 #s(literal 1/4 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 u1))))))
(pow.f32 (exp.f32 #s(literal 1/4 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 u1))))))
(pow.f32 (exp.f32 #s(literal 1/4 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32) (/.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)))
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(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
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(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32))
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(+ (* -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)))
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(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) u1) u1)) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* 11/12 u1)
(*.f32 #s(literal 11/12 binary32) u1)
(* u1 (+ 11/12 (/ 1 u1)))
(fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32))
(* u1 (+ 11/12 (/ 1 u1)))
(fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32))
(* u1 (+ 11/12 (/ 1 u1)))
(fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32))
(* 11/12 (pow u1 2))
(.f32 #s(literal 11/12 binary32) (.f32 u1 u1))
(* (pow u1 2) (+ 11/12 (/ 1 u1)))
(.f32 (+.f32 #s(literal 11/12 binary32) (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))
(* (pow u1 2) (+ 11/12 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(.f32 (+.f32 (+.f32 #s(literal 11/12 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))
(* (pow u1 2) (+ 11/12 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
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(* 2 (* (* u2 (PI)) (sqrt (log (- 1 u1)))))
(.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (- 1 u1))))) (* 2 (* (PI) (sqrt (log (- 1 u1)))))))
(.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))) u2)
(* u2 (+ (* 2 (* (PI) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (log (- 1 u1)))))))))
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(* u2 (+ (* 2 (* (PI) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (log (- 1 u1))))) (* 4/15 (* (pow (PI) 5) (sqrt (log (- 1 u1)))))))))))
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(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32)) u2)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32))) (*.f32 u2 u2))))) u2)
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))
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(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))
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(* 2 (* (* u2 (PI)) (sqrt (log (- 1 u1)))))
(.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (pow (PI) 3)) (sqrt (log (- 1 u1))))) (* 2 (* (PI) (sqrt (log (- 1 u1)))))))
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(* (sqrt (log (- 1 u1))) (sin (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.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))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.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))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(* (cos (* u2 (PI))) (sin (* u2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.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)
(* u2 (cbrt (pow (PI) 2)))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) u2)
(* u2 (cbrt (pow (PI) 2)))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) u2)
(* u2 (cbrt (pow (PI) 2)))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) u2)
(* u2 (cbrt (pow (PI) 2)))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) u2)

rewrite140.0ms (1.4%)

Memory

33.9MiB live, 219.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	338
0	90	308
1	226	296
2	969	296
0	8010	275

Stop Event

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

Counts

28 → 642

Calls

Call 1

Inputs
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1)) #s(literal 1/4 binary32))
#s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 u1 u1))
(*.f32 u1 u1)
(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32))
#s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1)))
(.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))
(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32))
#s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32)))
(pow.f32 u1 #s(literal 1/4 binary32))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
#s(approx (log (- 1 u1)) (neg.f32 u1))
#s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2)

Outputs
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eval180.0ms (1.8%)

Memory: 9.2MiB live, 280.1MiB allocated
Compiler: Compiled 33 439 to 4 359 computations (87% saved)

prune155.0ms (1.6%)

Memory

-27.7MiB live, 216.4MiB allocated

Pruning

51 alts after pruning (47 fresh and 4 done)

	Pruned	Kept	Total
New	1 259	23	1 282
Fresh	22	24	46
Picked	4	1	5
Done	2	3	5
Total	1 287	51	1 338

Accuracy

99.2%

Counts

1 338 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	65.1%	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
	91.1%	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 11/12 binary32) u1) u1)) u1) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.9%	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 #s(approx (+ ( (+ (* 11/12 u1) 1) u1) 1) (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.9%	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 #s(approx (+ ( (+ (* 11/12 u1) 1) u1) 1) (.f32 (+.f32 (+.f32 #s(literal 11/12 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.4%	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	65.2%	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
	91.0%	(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) #s(approx (* (+ (* (+ (* 11/12 u1) 1) u1) 1) (* u1 u1)) (.f32 (+.f32 (+.f32 #s(literal 11/12 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (/.f32 #s(literal 1 binary32) u1)) (pow.f32 u1 #s(literal 4 binary32))))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	36.7%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.2%	(.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)))))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	65.1%	(.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	65.2%	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)))))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	65.2%	(.f32 (.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	65.2%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (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(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	65.2%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	65.2%	(.f32 (.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(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	75.3%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32))))) (sin.f32 (*.f32 u2 (PI.f32))))
	75.3%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))))
	65.1%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (sqrt.f32 (PI.f32)))))
✓	65.2%	(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	65.2%	(.f32 (.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(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	65.2%	(.f32 (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	64.5%	(.f32 (.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
	17.4%	(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.1%	(.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))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	31.7%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))) #s(literal 2 binary32)))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) #s(literal 2 binary32)))
	52.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) u2)) #s(literal 2 binary32)))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (*.f32 u2 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32)))) #s(literal 2 binary32)))))
✓	59.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32))))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) #s(literal 2 binary32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	59.2%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(approx (* (pow (cbrt (PI)) 2) u2) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) u2)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
	75.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	57.0%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	40.3%	(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.2%	(.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	8.4%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	74.1%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32)))) #s(literal 2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
✓	4.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
	12.3%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (sin (* (* 2 (PI)) u2))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 #s(literal 4/15 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 #s(literal -8/315 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 u2 u2))))) (.f32 u2 u2))) (.f32 u2 u2) (.f32 (.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))) u2))
	74.9%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (sin (* (* 2 (PI)) u2))) (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))
	47.3%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (sin (* (* 2 (PI)) u2))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) u2)) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))))
	53.2%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (sin (* (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))

Compiler

Compiled 3 025 to 1 377 computations (54.5% saved)

regimes300.0ms (3.1%)

Memory

15.3MiB live, 533.2MiB allocated

Counts

100 → 2

Calls

Call 1

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

Outputs

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

(*.f32 (pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 11/12 binary32) u1) u1)) u1) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

10 calls:

42.0ms	cosTheta_i
35.0ms	u2
30.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
29.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
29.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
91.1%	1	`cosTheta_i`
98.0%	2	`u1`
91.1%	1	`u2`
91.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
91.1%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
91.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes62.0ms (0.6%)

Memory

9.6MiB live, 208.5MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 (.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(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 (.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(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (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(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (sqrt.f32 (PI.f32)))))
(.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)))))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (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 (sin (* (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))
(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (sin.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)))) (sin.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 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (.f32 (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) (neg.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)))))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (sin (* (* 2 (PI)) u2))) (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (-.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))) (sin.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)))) (sin (* (* 2 (PI)) u2))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) u2)) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))))
(.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) #s(literal 2 binary32)) #s(approx (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (sqrt.f32 u1))) u1 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 #s(approx (+ ( (+ (* 11/12 u1) 1) u1) 1) (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) #s(approx (sin (* (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (cos.f32 (.f32 u2 (PI.f32))))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (.f32 (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)) (sin.f32 (.f32 u2 (PI.f32)))) (cos.f32 (*.f32 u2 (PI.f32))))

Outputs

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

(*.f32 (pow.f32 #s(approx (* (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (*.f32 #s(approx (+ (* (+ (* 11/12 u1) 1) u1) 1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

5 calls:

13.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
13.0ms	(-.f32 #s(literal 1 binary32) u1)
12.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
11.0ms	u1
11.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
96.9%	2	`u1`
96.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.9%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.9%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.9%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes97.0ms (1%)

Memory

-9.7MiB live, 187.6MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

11.0ms	u1
10.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
10.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
9.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
75.4%	1	`u2`
75.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
81.3%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
75.4%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
75.4%	1	`cosTheta_i`
91.5%	2	`u1`
91.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.5%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes105.0ms (1.1%)

Memory

-20.3MiB live, 61.2MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

42.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
37.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
9.0ms	u1
8.0ms	(-.f32 #s(literal 1 binary32) u1)
8.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
85.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
85.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
85.8%	2	`u1`
85.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
85.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes63.0ms (0.6%)

Memory

15.5MiB live, 54.3MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

30.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
8.0ms	u1
8.0ms	(-.f32 #s(literal 1 binary32) u1)
8.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
8.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
85.8%	2	`u1`
85.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
85.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
85.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
85.8%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes73.0ms (0.7%)

Memory

-9.0MiB live, 69.6MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

10 calls:

25.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
8.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms	cosTheta_i
5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
75.3%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
75.3%	1	`u2`
75.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
75.3%	1	`cosTheta_i`
75.3%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
75.3%	1	`u1`
75.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
75.3%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
75.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
75.3%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes75.0ms (0.8%)

Memory

0.0MiB live, 60.2MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
65.2%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
65.2%	1	`u1`
65.2%	1	`u2`
65.2%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
65.2%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
65.2%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
65.2%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
65.2%	1	`cosTheta_i`
65.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
65.2%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes39.0ms (0.4%)

Memory

10.8MiB live, 49.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

10 calls:

9.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
3.0ms	u2
3.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
65.2%	1	`u1`
65.2%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
65.2%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
65.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
65.2%	1	`(-.f32 #s(literal 1 binary32) u1)`
65.2%	1	`u2`
65.2%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
65.2%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
65.2%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
65.2%	1	`cosTheta_i`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes28.0ms (0.3%)

Memory

-12.7MiB live, 26.2MiB 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 (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))

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

Calls

10 calls:

16.0ms	cosTheta_i
1.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
1.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
1.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
4.7%	1	`u1`
4.7%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
4.7%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
4.7%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
4.7%	1	`(-.f32 #s(literal 1 binary32) u1)`
4.7%	1	`u2`
4.7%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
4.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
4.7%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
4.7%	1	`cosTheta_i`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9847896099090576	0.986071765422821

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9976823925971985	0.9981330037117004

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00017125881277024746	0.00022020380129106343

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9997798204421997	0.9998287558555603

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9997798204421997	0.9998287558555603

Compiler

Compiled 16 to 16 computations (0% saved)

simplify109.0ms (1.1%)

Memory

-23.3MiB live, 56.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	345
1	164	343
2	237	343
3	343	343
4	533	343
5	642	343
6	984	343
7	1342	343
8	1738	343
9	1962	343
10	2069	343
11	2171	343
12	2281	343
13	2394	343
14	2470	343
15	2517	343
16	2535	343
17	2537	343

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8262779/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 11/12 binary32) u1) u1)) u1) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8371831/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 #s(approx (+ ( (+ (* 11/12 u1) 1) u1) 1) (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13743895/68719476736 binary32)) (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773861/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))) (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773861/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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)))))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))

Outputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8262779/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 11/12 binary32) u1) u1)) u1) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8262779/8388608 binary32)) (.f32 (sin.f32 (.f32 (+.f32 u2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 (.f32 u1 u1) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 11/12 binary32) u1) u1)) u1))) #s(literal 1/4 binary32))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8371831/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 #s(approx (+ ( (+ (* 11/12 u1) 1) u1) 1) (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8371831/8388608 binary32)) (.f32 (sin.f32 (.f32 (+.f32 u2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 #s(approx (+ ( (+ (* 11/12 u1) 1) u1) 1) (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13743895/68719476736 binary32)) (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13743895/68719476736 binary32)) (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (+.f32 u2 u2) (PI.f32)))) (.f32 (sin.f32 (.f32 (+.f32 u2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773861/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))) (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773861/16777216 binary32)) (.f32 #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 #s(approx ( (neg (log (- 1 u1))) (neg (log (- 1 u1)))) (.f32 u1 u1)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (+.f32 u2 u2) (PI.f32)))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773861/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16773861/16777216 binary32)) (.f32 #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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)))))) #s(literal 2 binary32)) #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (PI.f32) u2)))
(.f32 #s(approx ( (cos (* u2 (PI))) (sin (* u2 (PI)))) (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (/.f32 (*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (sin ( (* 2 (PI)) u2)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

soundness1.3s (13.3%)

Memory

35.0MiB live, 453.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	22	39
1	65	39
2	319	39
3	2338	37
0	8627	29
0	834	9018
1	2566	7523
0	8936	7138
0	999	10125
1	3207	8537
2	7895	8537
0	8032	8194
0	55	338
0	90	308
1	226	296
2	969	296
0	8010	275
0	318	1889
1	971	1610
2	3155	1483
3	7437	1469
0	8014	1412
0	42	190
0	76	180
1	194	163
2	914	163
0	8338	151
0	1014	9909
1	3240	8431
0	8382	8058

Stop Event

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

Compiler

Compiled 911 to 620 computations (31.9% saved)

preprocess143.0ms (1.5%)

Memory

10.5MiB live, 206.0MiB allocated

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 152 to 664 computations (42.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	49	396
0	82	375
1	124	375
2	191	375
3	293	375
4	332	375
5	352	375
6	367	375
7	370	375
0	370	356

Iter	Nodes	Cost
0	49	396
0	82	375
1	124	375
2	191	375
3	293	375
4	332	375
5	352	375
6	367	375
7	370	375
0	370	356

start0.0ms (0%)

analyze388.0ms (4%)

sample2.1s (21.4%)

explain438.0ms (4.5%)

preprocess54.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize41.0ms (0.4%)

series71.0ms (0.7%)

simplify217.0ms (2.2%)

rewrite143.0ms (1.5%)

eval96.0ms (1%)

prune20.0ms (0.2%)

simplify348.0ms (3.6%)

localize170.0ms (1.7%)

series112.0ms (1.1%)

simplify239.0ms (2.4%)

rewrite166.0ms (1.7%)

eval143.0ms (1.5%)

prune149.0ms (1.5%)

simplify13.0ms (0.1%)

localize258.0ms (2.6%)

series272.0ms (2.8%)

simplify211.0ms (2.2%)

rewrite123.0ms (1.3%)

eval74.0ms (0.8%)

prune101.0ms (1%)

simplify124.0ms (1.3%)

localize153.0ms (1.6%)

series472.0ms (4.8%)

simplify214.0ms (2.2%)

rewrite140.0ms (1.4%)

eval180.0ms (1.8%)

prune155.0ms (1.6%)

regimes300.0ms (3.1%)

regimes62.0ms (0.6%)

regimes97.0ms (1%)

regimes105.0ms (1.1%)

regimes63.0ms (0.6%)

regimes73.0ms (0.7%)

regimes75.0ms (0.8%)

regimes39.0ms (0.4%)

regimes28.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify109.0ms (1.1%)

soundness1.3s (13.3%)

preprocess143.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	49	396
0	82	375
1	124	375
2	191	375
3	293	375
4	332	375
5	352	375
6	367	375
7	370	375
0	370	356