Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze398.0ms (5%)

Memory

-24.5MiB live, 392.8MiB 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)

sample1.9s (23.5%)

Memory

47.1MiB live, 1 297.0MiB allocated

Samples

1.5s	8 256×	0	valid
1.0ms	7×	0	invalid

Precisions

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

const: 346.0ms (27.5% of total)

ival-<=: 242.0ms (19.2% of total)

ival-log: 159.0ms (12.6% of total)

ival-cosu: 123.0ms (9.8% of total)

ival-neg: 100.0ms (7.9% of total)

ival-sub: 90.0ms (7.2% of total)

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

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

ival->: 46.0ms (3.7% of total)

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

exact: 6.0ms (0.5% of total)

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

Bogosity

explain143.0ms (1.8%)

Memory

-15.7MiB live, 423.1MiB 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))`
2	0	-	1	(0.9999988079071045 0.027969209477305412 0.7414436340332031)	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	198	17
`cos.f32`	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	181	2
-	17	56

Precision

0.9141414141414141

Recall

0.9890710382513661

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	181	2	0
-	17	15	41

Precision?

0.8511627906976744

Recall?

1.0

Freqs

test

number	freq
0	58
1	197
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 167 to 60 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 12.0ms (30.3% of total)

ival-cosu: 8.0ms (20.2% of total)

ival-log: 8.0ms (20.2% of total)

ival-sub: 3.0ms (7.6% of total)

ival-sqrt: 3.0ms (7.6% of total)

ival-pi: 2.0ms (5.1% of total)

ival-neg: 2.0ms (5.1% of total)

ival-true: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

preprocess45.0ms (0.6%)

Memory

3.9MiB live, 45.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	122
1	99	120
2	186	120
3	324	120
4	522	120
5	776	120
6	941	120
7	1354	120
8	1500	120
9	1555	120
10	1562	120
11	1566	120
12	1566	120
0	13	13
0	22	13
1	34	13
2	46	13
3	55	13
4	63	13
5	75	13
6	89	13
7	97	13
8	100	13
0	100	12

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 13 to 14 computations (-7.7% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify6.0ms (0.1%)

Memory

-24.4MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.5%)

Memory

25.7MiB live, 104.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1358596497296835	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.162441259768442	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.32421875	(.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: 20.0ms

ival-mult: 6.0ms (30.7% of total)

ival-cosu: 4.0ms (20.5% of total)

ival-log: 4.0ms (20.5% of total)

ival-sqrt: 2.0ms (10.2% of total)

ival-pi: 1.0ms (5.1% of total)

ival-sub: 1.0ms (5.1% of total)

ival-neg: 1.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.7%)

Memory

-3.3MiB live, 156.1MiB allocated

Counts

6 → 84

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	u2	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
9.0ms	u2	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
6.0ms	u1	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms	u2	@	0	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))

simplify164.0ms (2.1%)

Memory

-2.5MiB live, 311.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1849
1	911	1570
2	2923	1447
3	7145	1410
0	8397	1352

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

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

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

rewrite151.0ms (1.9%)

Memory

-25.5MiB live, 361.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	22	39
1	65	39
2	320	39
3	2356	37
0	8647	29

Stop Event

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

Counts

6 → 242

Calls

Call 1

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

Outputs
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eval35.0ms (0.4%)

Memory: -0.2MiB live, 116.0MiB allocated
Compiler: Compiled 7 130 to 1 474 computations (79.3% saved)

prune22.0ms (0.3%)

Memory

9.5MiB live, 92.4MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	307	18	325
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	307	19	326

Accuracy

92.2%

Counts

326 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	45.0%	(.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.2%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	45.6%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	53.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	60.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	26.7%	(.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)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	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)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	51.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	59.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	44.4%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	3.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 661 to 586 computations (11.3% saved)

simplify287.0ms (3.6%)

Memory

-2.0MiB live, 355.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
cost-diff	0	(sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))))
cost-diff	0	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	6464	(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
cost-diff	0	(log.f32 (log1p.f32 u1))
cost-diff	0	(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
cost-diff	0	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	6240	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
cost-diff	0	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	297
0	72	278
1	103	276
2	130	276
3	153	276
4	181	276
5	228	276
6	367	276
7	577	276
8	1055	276
9	1671	276
10	3557	276
11	5261	276
12	5876	276
13	6122	276
14	6292	276
15	6358	276
16	6434	276
17	7496	276
18	7980	276
0	8184	268

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.3%)

Memory

7.5MiB live, 246.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1358596497296835	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.162441259768442	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.32421875	(.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	0.171875	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.32421875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	1.0480895879669638	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
accuracy	29.218961342837442	(log1p.f32 u1)
accuracy	0.2421875	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
accuracy	0.32421875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	20.038274505852733	(log1p.f32 (*.f32 (neg.f32 u1) u1))
accuracy	21.1043225820665	(log1p.f32 u1)
accuracy	0.10546875	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.162441259768442	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	6.380627689635202	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	13.644820974670594	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1358596497296835	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.162441259768442	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.32421875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	8.489481023582673	#s(approx (log (- 1 u1)) (neg.f32 u1))

Samples

77.0ms

256×

valid

Compiler

Compiled 578 to 71 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 12.0ms (21.4% of total)

ival-log: 10.0ms (17.9% of total)

ival-sqrt: 8.0ms (14.3% of total)

ival-pow: 6.0ms (10.7% of total)

ival-cosu: 4.0ms (7.1% of total)

ival-sub: 4.0ms (7.1% of total)

ival-log1p: 4.0ms (7.1% of total)

ival-exp: 3.0ms (5.4% of total)

ival-neg: 2.0ms (3.6% of total)

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

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

exact: 1.0ms (1.8% of total)

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

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

series185.0ms (2.3%)

Memory

-16.2MiB live, 342.0MiB allocated

Counts

24 → 348

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
87.0ms	u2	@	inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))))
31.0ms	u2	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))))
16.0ms	u1	@	inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))))
11.0ms	u1	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))))
8.0ms	u1	@	0	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))))

simplify205.0ms (2.6%)

Memory

-1.8MiB live, 392.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1063	9751
1	3237	8333
0	9061	7901

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 343

Calls

Call 1

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

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

rewrite58.0ms (0.7%)

Memory

23.0MiB live, 106.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	210
0	72	179
1	180	153
0	949	147

Stop Event

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

Counts

24 → 208

Calls

Call 1

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

Outputs
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eval90.0ms (1.1%)

Memory: 3.3MiB live, 160.1MiB allocated
Compiler: Compiled 16 808 to 1 886 computations (88.8% saved)

prune51.0ms (0.6%)

Memory

1.4MiB live, 120.7MiB allocated

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	647	32	679
Fresh	3	10	13
Picked	3	2	5
Done	0	1	1
Total	653	45	698

Accuracy

93.2%

Counts

698 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.3%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.1%	(.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.6%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.2%	(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	63.8%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	45.7%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	49.4%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	22.3%	(.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	31.3%	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	40.9%	(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.0%	(.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
	48.5%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	21.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	27.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	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)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	51.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	60.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	75.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
	64.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	64.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	59.9%	(.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))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	47.2%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	15.9%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	40.1%	(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.4%	(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.6%	(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.2%	#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
▶	53.0%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	46.6%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))
	64.1%	#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 1 488 to 1 319 computations (11.4% saved)

simplify351.0ms (4.4%)

Memory

-15.9MiB live, 213.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	379
0	95	366
1	139	366
2	188	366
3	263	366
4	510	366
5	974	366
6	1597	366
7	3155	366
8	4319	366
9	5244	366
10	5670	366
11	5799	366
12	5867	366
13	5913	366
14	5945	366
15	5962	366
16	5988	366
17	6030	366
18	6063	366
19	6080	366
20	6107	366
21	6153	366
22	6209	366
0	8727	366

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

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

localize160.0ms (2%)

Memory

12.5MiB live, 205.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.171875	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.32421875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	2.022039624656473	(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1)))
accuracy	29.29329914003147	(log1p.f32 u1)
accuracy	0.15234375	(.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
accuracy	0.32421875	(*.f32 (PI.f32) u2)
accuracy	0.34375	(.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
accuracy	15.519253769089843	(log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.162441259768442	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	0.29296875	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1)))))
accuracy	6.380627689635202	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	14.485993381965047	(log1p.f32 (neg.f32 u1))
accuracy	0.10546875	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	0.162441259768442	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	6.380627689635202	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	8.489481023582673	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.289726269536884	(-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
accuracy	0.32421875	(*.f32 u2 (PI.f32))
accuracy	0.5426750488422102	(.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
accuracy	8.489481023582673	#s(approx (log (- 1 u1)) (neg.f32 u1))

Samples

110.0ms

256×

valid

Compiler

Compiled 650 to 97 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 24.0ms (26.8% of total)

ival-log: 14.0ms (15.6% of total)

ival-sqrt: 10.0ms (11.2% of total)

ival-pow: 10.0ms (11.2% of total)

ival-cosu: 9.0ms (10% of total)

ival-sinu: 4.0ms (4.5% of total)

ival-log1p: 4.0ms (4.5% of total)

ival-exp: 3.0ms (3.3% of total)

ival-sub: 3.0ms (3.3% of total)

ival-cos: 3.0ms (3.3% of total)

ival-div: 2.0ms (2.2% of total)

ival-neg: 2.0ms (2.2% of total)

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

ival-add: 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)

series232.0ms (2.9%)

Memory

22.7MiB live, 310.7MiB allocated

Counts

26 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
144.0ms	u2	@	inf	((- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1))))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sqrt 2) (cos (* (* (PI) u2) 2)))) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (* (pow (exp 1/2) (log (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (log (+ 1 u1)))) (exp 1/2) (log (log (+ 1 u1))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (neg u1))) (* (PI) u2) (* (sqrt 2) (cos (* (* (PI) u2) 2))) (log (+ 1 u1)) (* (* 2 (PI)) u2))
47.0ms	u2	@	-inf	((- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1))))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sqrt 2) (cos (* (* (PI) u2) 2)))) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (* (pow (exp 1/2) (log (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (log (+ 1 u1)))) (exp 1/2) (log (log (+ 1 u1))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (neg u1))) (* (PI) u2) (* (sqrt 2) (cos (* (* (PI) u2) 2))) (log (+ 1 u1)) (* (* 2 (PI)) u2))
7.0ms	u1	@	inf	((- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1))))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sqrt 2) (cos (* (* (PI) u2) 2)))) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (* (pow (exp 1/2) (log (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (log (+ 1 u1)))) (exp 1/2) (log (log (+ 1 u1))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (neg u1))) (* (PI) u2) (* (sqrt 2) (cos (* (* (PI) u2) 2))) (log (+ 1 u1)) (* (* 2 (PI)) u2))
7.0ms	u1	@	-inf	((- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1))))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sqrt 2) (cos (* (* (PI) u2) 2)))) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (* (pow (exp 1/2) (log (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (log (+ 1 u1)))) (exp 1/2) (log (log (+ 1 u1))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (neg u1))) (* (PI) u2) (* (sqrt 2) (cos (* (* (PI) u2) 2))) (log (+ 1 u1)) (* (* 2 (PI)) u2))
5.0ms	u2	@	0	((- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (- 1 u1)) (* (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (* (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1)))))) (sqrt 2) (sqrt (* -1/2 (log (+ 1 (neg u1))))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (sqrt 2) (cos (* (* (PI) u2) 2)))) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (* (pow (exp 1/2) (log (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (log (+ 1 u1)))) (exp 1/2) (log (log (+ 1 u1))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI)) (cos (* (* 2 (PI)) u2)) (log (+ 1 (neg u1))) (* (PI) u2) (* (sqrt 2) (cos (* (* (PI) u2) 2))) (log (+ 1 u1)) (* (* 2 (PI)) u2))

simplify215.0ms (2.7%)

Memory

7.1MiB live, 239.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1203	11013
1	3831	9671
0	8542	9289

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 358

Calls

Call 1

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

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

rewrite155.0ms (1.9%)

Memory

-17.3MiB live, 174.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	264
0	95	221
1	265	193
2	1522	172
0	8510	172

Stop Event

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

Counts

26 → 583

Calls

Call 1

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

Outputs
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eval113.0ms (1.4%)

Memory: 17.3MiB live, 203.6MiB allocated
Compiler: Compiled 32 347 to 3 788 computations (88.3% saved)

prune108.0ms (1.4%)

Memory

-17.4MiB live, 229.7MiB allocated

Pruning

80 alts after pruning (75 fresh and 5 done)

	Pruned	Kept	Total
New	1 035	45	1 080
Fresh	7	30	37
Picked	3	2	5
Done	0	3	3
Total	1 045	80	1 125

Accuracy

93.7%

Counts

1 125 → 80

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	21.1%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	41.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	20.3%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) u2)))))
	73.3%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(approx (log (log (+ 1 u1))) (log.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.1%	(.f32 (pow.f32 (E.f32) (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.1%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	-0.0%	(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.2%	(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	31.1%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (pow.f32 (.f32 (log1p.f32 u1) #s(literal -1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.2%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	51.7%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.0%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) #s(approx (log (+ 1 (neg u1))) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.0%	(.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(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	45.7%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	50.1%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	22.7%	(.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	31.6%	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	40.8%	(.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)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.0%	(.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.5%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	21.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	27.1%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	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)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	51.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	60.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) #s(literal 2 binary32)))
	35.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) (+.f32 #s(literal 1/4 binary32) (+.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)))))) (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1/4 binary32) (+.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)))) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))) (.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))) (-.f32 #s(literal 1/4 binary32) (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)))) (+.f32 #s(literal 1/4 binary32) (+.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))) (.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))) (-.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)))))) (.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1/4 binary32) (+.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))) #s(literal 2 binary32))))
	75.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))))))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.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)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.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)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
	69.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2)))))
	75.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))
▶	75.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
	64.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	64.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	60.0%	(.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))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	59.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.2%	(.f32 (neg.f32 (log1p.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	18.0%	(.f32 (neg.f32 (log.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.1%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	63.4%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	40.1%	(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	-0.0%	(.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.4%	(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.4%	(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 #s(literal 13/96 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.4%	(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.6%	(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	52.8%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	53.0%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))))))
✓	53.0%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	46.6%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))
	75.2%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (.f32 #s(literal 1/2 binary32) u1))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	75.0%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 #s(approx (sqrt (log (sqrt (/ 1 (- 1 u1))))) (.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 u1))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	64.1%	#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 3 497 to 2 623 computations (25% saved)

simplify9.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	0	(.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
cost-diff	0	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
cost-diff	0	(fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1)))
cost-diff	0	(fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))
cost-diff	0	#s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
cost-diff	0	(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	519
0	121	515

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #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
(+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)))
(.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))
(sin.f32 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))
#s(literal -1/2 binary32)
u1
#s(literal -1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))
(fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1)))
(fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 #s(literal 13/96 binary32) (sqrt.f32 u1)))
#s(literal -35/384 binary32)
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(pow.f32 u1 #s(literal 3 binary32))
u1
#s(literal 3 binary32)
(*.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))
#s(literal 13/96 binary32)
(sqrt.f32 u1)
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))
#s(literal -1/4 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32))
#s(literal 2 binary32)
#s(literal 1/4 binary32)
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (PI.f32) u2)
(PI.f32)
u2

Outputs
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #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
(+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)))
(.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))
(sin.f32 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))
#s(literal -1/2 binary32)
u1
#s(literal -1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))
(fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1)))
(fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 #s(literal 13/96 binary32) (sqrt.f32 u1)))
#s(literal -35/384 binary32)
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(pow.f32 u1 #s(literal 3 binary32))
u1
#s(literal 3 binary32)
(*.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))
#s(literal 13/96 binary32)
(sqrt.f32 u1)
(*.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))
#s(literal -1/4 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32))
#s(literal 2 binary32)
#s(literal 1/4 binary32)
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (PI.f32) u2)
(PI.f32)
u2

localize233.0ms (2.9%)

Memory

-3.6MiB live, 271.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
accuracy	0	(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
accuracy	0	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	(sqrt.f32 u1)
accuracy	0	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0	#s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1)))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
accuracy	0	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0	#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
accuracy	0	(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	0	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	0	(neg.f32 u1)
accuracy	0	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	29.98788023102775	(PI.f32)

Samples

147.0ms

256×

invalid

Compiler

Compiled 859 to 129 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 29.0ms (24.7% of total)

ival-pow: 16.0ms (13.6% of total)

ival-log: 15.0ms (12.8% of total)

ival-sqrt: 11.0ms (9.4% of total)

const: 8.0ms (6.8% of total)

ival-add: 7.0ms (6% of total)

ival-pow2: 5.0ms (4.3% of total)

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

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

ival-div: 3.0ms (2.6% of total)

ival-exp: 3.0ms (2.6% of total)

ival-sub: 3.0ms (2.6% of total)

ival-cos: 3.0ms (2.6% of total)

ival-log1p: 2.0ms (1.7% of total)

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

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

exact: 1.0ms (0.9% of total)

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

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

series143.0ms (1.8%)

Memory

14.0MiB live, 214.2MiB allocated

Counts

24 → 312

Calls

Call 1

Inputs
#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #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 #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 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (patch (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))) #<representation binary32>) () ())
#s(alt #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)) (patch #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (patch #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1)) (patch (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) (patch (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))) (patch #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))) (patch (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (patch (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) #<representation binary32>) () ())
#s(alt (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (patch (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())
#s(alt (neg.f32 u1) (patch (neg.f32 u1) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (patch (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #<representation binary32>) () ())

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

6 calls:

Time	Variable		Point	Expression
64.0ms	u2	@	inf	((* (sqrt (neg (log (- 1 u1)))) (+ 1/2 (- (* (cos (* (* 2 (PI)) u2)) 1/2) (pow (sin (* (PI) u2)) 2)))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (/ 0 0) (cos (* (* 2 (PI)) u2))) (/ 0 0) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (pow (exp 1/2) (log (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (log (+ 1 u1)))) (+ (* (+ (* (+ (* -35/384 (sqrt (pow u1 3))) (* 13/96 (sqrt u1))) u1) (* -1/4 (sqrt u1))) u1) (sqrt u1)) (+ (* (+ (* -35/384 (sqrt (pow u1 3))) (* 13/96 (sqrt u1))) u1) (* -1/4 (sqrt u1))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (pow (pow 2 1/4) 2) (cos (* (* (PI) u2) 2)))) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (PI) (cos (* (* 2 (PI)) u2)) (neg u1) (sqrt u1) (cos (* (* (PI) u2) 2)))
50.0ms	u2	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (+ 1/2 (- (* (cos (* (* 2 (PI)) u2)) 1/2) (pow (sin (* (PI) u2)) 2)))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (/ 0 0) (cos (* (* 2 (PI)) u2))) (/ 0 0) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (pow (exp 1/2) (log (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (log (+ 1 u1)))) (+ (* (+ (* (+ (* -35/384 (sqrt (pow u1 3))) (* 13/96 (sqrt u1))) u1) (* -1/4 (sqrt u1))) u1) (sqrt u1)) (+ (* (+ (* -35/384 (sqrt (pow u1 3))) (* 13/96 (sqrt u1))) u1) (* -1/4 (sqrt u1))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (pow (pow 2 1/4) 2) (cos (* (* (PI) u2) 2)))) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (PI) (cos (* (* 2 (PI)) u2)) (neg u1) (sqrt u1) (cos (* (* (PI) u2) 2)))
4.0ms	u1	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (+ 1/2 (- (* (cos (* (* 2 (PI)) u2)) 1/2) (pow (sin (* (PI) u2)) 2)))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (/ 0 0) (cos (* (* 2 (PI)) u2))) (/ 0 0) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (pow (exp 1/2) (log (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (log (+ 1 u1)))) (+ (* (+ (* (+ (* -35/384 (sqrt (pow u1 3))) (* 13/96 (sqrt u1))) u1) (* -1/4 (sqrt u1))) u1) (sqrt u1)) (+ (* (+ (* -35/384 (sqrt (pow u1 3))) (* 13/96 (sqrt u1))) u1) (* -1/4 (sqrt u1))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (pow (pow 2 1/4) 2) (cos (* (* (PI) u2) 2)))) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (PI) (cos (* (* 2 (PI)) u2)) (neg u1) (sqrt u1) (cos (* (* (PI) u2) 2)))
3.0ms	u1	@	inf	((* (sqrt (neg (log (- 1 u1)))) (+ 1/2 (- (* (cos (* (* 2 (PI)) u2)) 1/2) (pow (sin (* (PI) u2)) 2)))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (/ 0 0) (cos (* (* 2 (PI)) u2))) (/ 0 0) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (pow (exp 1/2) (log (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (log (+ 1 u1)))) (+ (* (+ (* (+ (* -35/384 (sqrt (pow u1 3))) (* 13/96 (sqrt u1))) u1) (* -1/4 (sqrt u1))) u1) (sqrt u1)) (+ (* (+ (* -35/384 (sqrt (pow u1 3))) (* 13/96 (sqrt u1))) u1) (* -1/4 (sqrt u1))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (pow (pow 2 1/4) 2) (cos (* (* (PI) u2) 2)))) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (PI) (cos (* (* 2 (PI)) u2)) (neg u1) (sqrt u1) (cos (* (* (PI) u2) 2)))
2.0ms	u1	@	0	((* (sqrt (neg (log (- 1 u1)))) (+ 1/2 (- (* (cos (* (* 2 (PI)) u2)) 1/2) (pow (sin (* (PI) u2)) 2)))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (/ 0 0) (cos (* (* 2 (PI)) u2))) (/ 0 0) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (pow (exp 1/2) (log (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (pow (exp 1/2) (log (log (+ 1 u1)))) (+ (* (+ (* (+ (* -35/384 (sqrt (pow u1 3))) (* 13/96 (sqrt u1))) u1) (* -1/4 (sqrt u1))) u1) (sqrt u1)) (+ (* (+ (* -35/384 (sqrt (pow u1 3))) (* 13/96 (sqrt u1))) u1) (* -1/4 (sqrt u1))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (* (pow (pow 2 1/4) 2) (cos (* (* (PI) u2) 2)))) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (PI) (cos (* (* 2 (PI)) u2)) (neg u1) (sqrt u1) (cos (* (* (PI) u2) 2)))

simplify182.0ms (2.3%)

Memory

19.1MiB live, 246.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	894	9174
1	2761	7895
0	8305	7515

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 310

Calls

Call 1

Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
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(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* -1/6 (* (sqrt u1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
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(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
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u1
(* u1 (+ 1 (* 1/2 u1)))
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(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 u1) (* -1/24 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (/ 1/2 u1)))
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (sqrt (log (- 1 u1)))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (* (pow u2 2) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 1/3 (pow (PI) 4)) (* -1/3 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (* -2/45 (pow (PI) 6)) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (sqrt (log (- 1 u1)))))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(sqrt (log (+ 1 u1)))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)))
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))))))
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))))))))
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)))
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))))))
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sin (* u2 (PI))) 2))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))

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

rewrite48.0ms (0.6%)

Memory

-16.9MiB live, 21.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	327
0	121	323

Stop Event

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

Counts

24 → 26

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #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))
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))
(fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(PI.f32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(neg.f32 u1)
(sqrt.f32 u1)
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))

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

eval58.0ms (0.7%)

Memory: -1.2MiB live, 82.3MiB allocated
Compiler: Compiled 12 528 to 1 156 computations (90.8% saved)

prune74.0ms (0.9%)

Memory

18.8MiB live, 140.1MiB allocated

Pruning

82 alts after pruning (72 fresh and 10 done)

	Pruned	Kept	Total
New	389	3	392
Fresh	1	69	70
Picked	0	5	5
Done	0	5	5
Total	390	82	472

Accuracy

93.7%

Counts

472 → 82

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	20.6%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	41.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	20.7%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) u2)))))
	73.3%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(approx (log (log (+ 1 u1))) (log.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.4%	(.f32 (pow.f32 (E.f32) (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	43.8%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	-0.0%	(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.2%	(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	30.4%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (pow.f32 (.f32 (log1p.f32 u1) #s(literal -1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	63.9%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	51.7%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.0%	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) #s(approx (log (+ 1 (neg u1))) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.0%	(.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(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	45.0%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	49.8%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	22.3%	(.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	30.9%	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	41.1%	(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.0%	(.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.5%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	21.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	27.0%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	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)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	59.3%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	51.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	60.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) #s(literal 2 binary32)))
	35.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) (+.f32 #s(literal 1/4 binary32) (+.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)))))) (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1/4 binary32) (+.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)))) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))) (.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))) (-.f32 #s(literal 1/4 binary32) (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)))) (+.f32 #s(literal 1/4 binary32) (+.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))) (.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))) (-.f32 #s(literal 1/8 binary32) (.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)))))) (.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1/4 binary32) (+.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))) #s(literal 2 binary32))))
	75.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))))))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.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)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.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)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
	69.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2)))))
	75.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
	75.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))
✓	75.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
	64.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
	64.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	64.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	59.0%	(.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))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	59.8%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	64.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.2%	(.f32 (neg.f32 (log1p.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	18.0%	(.f32 (neg.f32 (log.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.1%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	63.4%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	40.1%	(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	-0.0%	(.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	75.4%	(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.4%	(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.6%	(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	52.8%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	46.5%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)))))
	53.0%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))))))
✓	53.0%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	46.6%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))
	75.2%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (.f32 #s(literal 1/2 binary32) u1))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	75.0%	#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 #s(approx (sqrt (log (sqrt (/ 1 (- 1 u1))))) (.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 u1))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))
	64.1%	#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 3 913 to 1 850 computations (52.7% saved)

regimes320.0ms (4%)

Memory

-0.5MiB live, 417.3MiB allocated

Counts

99 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

53.0ms	cosTheta_i
41.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
35.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
29.0ms	u2
28.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
75.5%	1	`cosTheta_i`
91.7%	2	`u1`
75.5%	1	`u2`
90.7%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
91.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
91.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
75.5%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
75.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes147.0ms (1.9%)

Memory

-21.8MiB live, 241.4MiB allocated

Counts

85 → 2

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) #s(approx (log (+ 1 (neg u1))) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (neg.f32 (log1p.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (neg.f32 (log.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (.f32 #s(literal 1/2 binary32) u1))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 #s(approx (sqrt (log (sqrt (/ 1 (- 1 u1))))) (.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 u1))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) #s(literal 2 binary32)))
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 #s(literal 13/96 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))))))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (pow.f32 (.f32 (log1p.f32 u1) #s(literal -1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(approx (log (log (+ 1 u1))) (log.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (E.f32) (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
(.f32 (sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

5 calls:

46.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
27.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
24.0ms	u1
23.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
23.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
91.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
91.7%	2	`u1`
91.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes138.0ms (1.7%)

Memory

23.0MiB live, 181.0MiB allocated

Counts

78 → 2

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) #s(approx (log (+ 1 (neg u1))) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (neg.f32 (log1p.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (neg.f32 (log.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (.f32 #s(literal 1/2 binary32) u1))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 #s(approx (sqrt (log (sqrt (/ 1 (- 1 u1))))) (.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 u1))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) #s(literal 2 binary32)))
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 #s(literal 13/96 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))))))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (pow.f32 (.f32 (log1p.f32 u1) #s(literal -1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(approx (log (log (+ 1 u1))) (log.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (E.f32) (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

5 calls:

52.0ms	u1
23.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
20.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
20.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
19.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
91.6%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
91.6%	2	`(-.f32 #s(literal 1 binary32) u1)`
91.6%	2	`u1`
91.6%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
91.6%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes88.0ms (1.1%)

Memory

-26.0MiB live, 134.7MiB allocated

Counts

60 → 2

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) #s(approx (log (+ 1 (neg u1))) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (neg.f32 (log1p.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (neg.f32 (log.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.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))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (.f32 #s(literal 1/2 binary32) u1))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 #s(approx (sqrt (log (sqrt (/ 1 (- 1 u1))))) (.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 u1))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( (neg u1) u1))) (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))))
(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) #s(literal 2 binary32)))
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 #s(literal 13/96 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))))
(.f32 #s(approx (pow (exp 1/2) (log (log (+ 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal -35/384 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (.f32 #s(literal 13/96 binary32) (sqrt.f32 u1))) u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))))))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (pow.f32 (.f32 (log1p.f32 u1) #s(literal -1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 #s(literal 1 binary32) u1)) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)))))

Outputs

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

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

Calls

5 calls:

19.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
19.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
19.0ms	(-.f32 #s(literal 1 binary32) u1)
16.0ms	u1
14.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
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 19 to 29 computations (-52.6% saved)

regimes60.0ms (0.8%)

Memory

33.8MiB live, 111.6MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

12.0ms	u1
11.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms	(-.f32 #s(literal 1 binary32) u1)
9.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
9.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
86.5%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
85.2%	2	`u1`
85.2%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
85.2%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
85.2%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
85.2%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 32 to 43 computations (-34.4% saved)

regimes13.0ms (0.2%)

Memory

-32.6MiB live, 16.6MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
86.5%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes57.0ms (0.7%)

Memory

27.9MiB live, 104.7MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
64.1%	1	`cosTheta_i`
64.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
64.1%	1	`u2`
64.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
75.9%	2	`u1`
75.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
75.9%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
75.9%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
75.9%	2	`(-.f32 #s(literal 1 binary32) u1)`
75.9%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes249.0ms (3.1%)

Memory

-17.9MiB live, 63.4MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

7 calls:

216.0ms	(-.f32 #s(literal 1 binary32) u1)
7.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
5.0ms	cosTheta_i
5.0ms	u1
5.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
64.1%	1	`cosTheta_i`
64.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
64.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
64.1%	1	`u1`
64.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
64.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
64.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 33 to 46 computations (-39.4% saved)

regimes34.0ms (0.4%)

Memory

-11.9MiB live, 26.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Calls

10 calls:

22.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
1.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
1.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms	u1
1.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
-0.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
-0.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
-0.0%	1	`u1`
-0.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
-0.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
-0.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
-0.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
-0.0%	1	`u2`
-0.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
-0.0%	1	`cosTheta_i`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00017125881277024746	0.00022020380129106343

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00017125881277024746	0.00022020380129106343

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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

0.7MiB live, 0.7MiB 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

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.014998634345829487	0.01625981368124485

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.014998634345829487	0.01625981368124485

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.013086589053273201	0.014839265495538712

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify12.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Stop Event

1×	iter limit
1×	unsound

Calls

Call 1

Inputs
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13743895/68719476736 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13743895/68719476736 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13743895/68719476736 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 16106127/1073741824 binary32)) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 16106127/1073741824 binary32)) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7516193/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13743895/68719476736 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13743895/68719476736 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13743895/68719476736 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(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)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 16106127/1073741824 binary32)) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (.f32 #s(literal -1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 16106127/1073741824 binary32)) (.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 7516193/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

soundness758.0ms (9.5%)

Memory

-18.8MiB live, 654.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1063	9751
1	3237	8333
0	9061	7901
0	56	264
0	95	221
1	265	193
2	1522	172
0	8510	172
0	13	39
0	22	39
1	65	39
2	320	39
3	2356	37
0	8647	29
0	42	210
0	72	179
1	180	153
0	949	147
0	306	1849
1	911	1570
2	2923	1447
3	7145	1410
0	8397	1352

Stop Event

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

Compiler

Compiled 712 to 414 computations (41.9% saved)

preprocess85.0ms (1.1%)

Memory

18.2MiB live, 97.5MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 858 to 302 computations (64.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze398.0ms (5%)

sample1.9s (23.5%)

explain143.0ms (1.8%)

preprocess45.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize39.0ms (0.5%)

series55.0ms (0.7%)

simplify164.0ms (2.1%)

rewrite151.0ms (1.9%)

eval35.0ms (0.4%)

prune22.0ms (0.3%)

simplify287.0ms (3.6%)

localize107.0ms (1.3%)

series185.0ms (2.3%)

simplify205.0ms (2.6%)

rewrite58.0ms (0.7%)

eval90.0ms (1.1%)

prune51.0ms (0.6%)

simplify351.0ms (4.4%)

localize160.0ms (2%)

series232.0ms (2.9%)

simplify215.0ms (2.7%)

rewrite155.0ms (1.9%)

eval113.0ms (1.4%)

prune108.0ms (1.4%)

simplify9.0ms (0.1%)

localize233.0ms (2.9%)

series143.0ms (1.8%)

simplify182.0ms (2.3%)

rewrite48.0ms (0.6%)

eval58.0ms (0.7%)

prune74.0ms (0.9%)

regimes320.0ms (4%)

regimes147.0ms (1.9%)

regimes138.0ms (1.7%)

regimes88.0ms (1.1%)

regimes60.0ms (0.8%)

regimes13.0ms (0.2%)

regimes57.0ms (0.7%)

regimes249.0ms (3.1%)

regimes34.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.2%)

soundness758.0ms (9.5%)

preprocess85.0ms (1.1%)

end0.0ms (0%)

Profiling