Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze343.0ms (2.8%)

Memory

-3.6MiB live, 751.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.1s (17%)

Memory

-89.8MiB live, 2 761.1MiB allocated

Samples

1.7s	8 256×	0	valid
1.0ms	4×	0	invalid

Precisions

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

const: 351.0ms (25.3% of total)

ival-neg: 303.0ms (21.8% of total)

ival-log: 164.0ms (11.8% of total)

ival-mult: 147.0ms (10.6% of total)

ival-<=: 120.0ms (8.6% of total)

ival-cos: 102.0ms (7.4% of total)

ival-sqrt: 54.0ms (3.9% of total)

ival-sub: 51.0ms (3.7% of total)

ival-and: 31.0ms (2.2% of total)

ival-pi: 30.0ms (2.2% of total)

ival->: 24.0ms (1.7% of total)

exact: 9.0ms (0.6% of total)

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

Bogosity

explain154.0ms (1.3%)

Memory

-85.9MiB live, 283.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
201	5	(0.999949038028717 0.006894462276250124 0.05002134293317795)	7	(0.9999649524688721 0.012964394874870777 0.000721806543879211)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	1	(0.9999210834503174 3.70950874639675e-5 0.7680016160011292)	`(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	199	20

Confusion

	Predicted +	Predicted -
+	191	3
-	8	54

Precision

0.9597989949748744

Recall

0.9845360824742269

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	191	3	0
-	8	17	37

Precision?

0.8858447488584474

Recall?

1.0

Freqs

test

number	freq
0	57
1	199

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 120 to 46 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 9.0ms (26.7% of total)

ival-log: 8.0ms (23.8% of total)

ival-cos: 5.0ms (14.9% of total)

ival-sub: 3.0ms (8.9% of total)

ival-sqrt: 3.0ms (8.9% of total)

ival-pi: 2.0ms (5.9% of total)

ival-neg: 2.0ms (5.9% of total)

exact: 1.0ms (3% of total)

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

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

preprocess47.0ms (0.4%)

Memory

20.1MiB live, 61.0MiB allocated

Algorithm

1×	egg-herbie

Rules

340×	`associate-r`
254×	`distribute-lft-in`
228×	`associate-l`
184×	`distribute-rgt-in`
158×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(.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 16 to 14 computations (12.5% saved)

simplify6.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize45.0ms (0.4%)

Memory

-20.3MiB live, 55.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.1328125	(.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	0.40234375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	14.22418395070294	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

33.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-neg: 9.0ms (38.2% of total)

ival-mult: 4.0ms (17% of total)

ival-log: 4.0ms (17% of total)

ival-cos: 3.0ms (12.7% of total)

ival-sqrt: 2.0ms (8.5% of total)

ival-pi: 1.0ms (4.2% of total)

ival-sub: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory

28.0MiB live, 65.1MiB allocated

Counts

5 → 72

Calls

Call 1

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

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

18 calls:

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

simplify288.0ms (2.4%)

Memory

-7.3MiB live, 353.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 270×	`lower-fma.f64`
9 270×	`lower-fma.f32`
5 620×	`lower-*.f64`
5 620×	`lower-*.f32`
3 580×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1737
1	858	1458
2	2728	1335
3	6882	1298
0	8134	1246

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

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

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

rewrite179.0ms (1.5%)

Memory

11.6MiB live, 274.7MiB allocated

Rules

3 444×	`lower-*.f64`
3 438×	`lower-*.f32`
2 098×	`lower-fma.f64`
2 098×	`lower-fma.f32`
2 048×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 228

Calls

Call 1

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

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

eval30.0ms (0.2%)

Memory: -15.6MiB live, 75.6MiB allocated
Compiler: Compiled 7 051 to 1 364 computations (80.7% saved)

prune85.0ms (0.7%)

Memory

-1.7MiB live, 160.6MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	276	23	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	276	24	300

Accuracy

99.7%

Counts

300 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.7%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	74.3%	(.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)))
	74.5%	(.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)))
	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.7%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	90.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.4%	(.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)))
	78.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	92.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.2%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.4%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (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 1 178 to 810 computations (31.2% saved)

simplify313.0ms (2.6%)

Memory

15.4MiB live, 249.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	6144	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	32	(log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
cost-diff	64	(neg.f32 (-.f32 (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 u1)))
cost-diff	160	(*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))
cost-diff	0	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(log1p.f32 (neg.f32 u1))
cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

10 844×	`lower-fma.f64`
10 838×	`lower-fma.f32`
2 766×	`lower--.f64`
2 764×	`lower--.f32`
2 654×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	346
0	77	328
1	130	324
2	221	319
3	336	319
4	455	319
5	709	319
6	1198	319
7	1897	319
8	2543	319
9	2991	319
10	3211	319
11	3297	319
12	3344	319
13	3372	319
14	4364	319
15	5944	319
16	7119	319
17	7887	319
0	8027	314

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (1.7%)

Memory

1.1MiB live, 207.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.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)))
accuracy	0.40234375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.46856062860980974	(PI.f32)
accuracy	0.6035538086106522	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
accuracy	0.3046875	(-.f32 (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 u1))
accuracy	0.40234375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.46856062860980974	(PI.f32)
accuracy	21.84536622100964	(log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
accuracy	0.234375	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
accuracy	0.40234375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.46856062860980974	(PI.f32)
accuracy	2.183048735992935	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
accuracy	0.1328125	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.40234375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.46856062860980974	(PI.f32)
accuracy	30.40861132078783	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.11328125	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy	0.1328125	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.40234375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.46856062860980974	(PI.f32)

Samples

85.0ms	198×	0	valid
28.0ms	54×	1	valid
4.0ms	4×	5	exit

Compiler

Compiled 338 to 44 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 16.0ms (22.2% of total)

ival-log: 9.0ms (12.5% of total)

ival-log1p: 7.0ms (9.7% of total)

ival-sqrt: 6.0ms (8.3% of total)

ival-pow: 5.0ms (6.9% of total)

ival-neg: 5.0ms (6.9% of total)

const: 4.0ms (5.5% of total)

adjust: 4.0ms (5.5% of total)

ival-add: 4.0ms (5.5% of total)

ival-cos: 3.0ms (4.2% of total)

ival-pow2: 3.0ms (4.2% of total)

ival-sub: 2.0ms (2.8% of total)

ival-pi: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series107.0ms (0.9%)

Memory

-19.9MiB live, 92.7MiB allocated

Counts

24 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
48.0ms	u2	@	inf	(* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
24.0ms	u2	@	0	(* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(pow (log (+ 1 u1)) 1/4)
1.0ms	u1	@	inf	(pow (log (+ 1 u1)) 1/4)
1.0ms	u1	@	inf	(* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))

simplify422.0ms (3.5%)

Memory

32.6MiB live, 391.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 148×	`lower-fma.f64`
10 148×	`lower-fma.f32`
7 432×	`lower-*.f64`
7 432×	`lower-*.f32`
3 854×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	770	8657
1	2348	7214
0	8253	6833

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 332

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (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)))))))))
(* (* (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))) (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))))))))))
(* (* (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))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
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(+ (* 1/4 (* (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4) (/ 1 u1))) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32))) #s(literal 1/4 binary32)) u1) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32)))
(+ (* -1 (/ (+ (* -1 (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (/ (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) u1))) (* -1/4 (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4))) u1)) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32))) #s(literal 1/4 binary32)) (/.f32 (*.f32 (neg.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32))) (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))) (/.f32 #s(literal 1/32 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))))) u1)) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (/ (- (+ (* -1/24 (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))) (* 1/32 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/384 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) u1))) (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))))) u1)) (* -1/4 (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4))) u1)) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))) (/.f32 #s(literal 1/32 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32)) (+.f32 (fma.f32 #s(literal -1/24 binary32) (+.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))) (/.f32 #s(literal -1/12 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (fma.f32 #s(literal 1/32 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal -1/384 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))))) (neg.f32 u1))) (neg.f32 u1))) u1))
u1
(* u1 (+ 1 (* -1/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)
(* -1 (log (/ 1 u1)))
(log.f32 u1)
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(+.f32 (log.f32 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 u1))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/3 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 (log.f32 u1) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (neg.f32 u1))) u1))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* -1/3 (pow u1 3))
(.f32 u1 (.f32 (*.f32 u1 u1) #s(literal -1/3 binary32)))
(* -1 (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (*.f32 u1 (neg.f32 u1)) u1))
(* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)))
(* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))
(.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)))
(* -1/3 (pow u1 3))
(.f32 u1 (.f32 (*.f32 u1 u1) #s(literal -1/3 binary32)))
(* -1 (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (*.f32 u1 (neg.f32 u1)) u1))
(* -1 (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))))
(neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))))
(* -1 (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))))
(neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (neg.f32 u1))) u1))
(- (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1))))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -2 (log (/ -1 u1))) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) u1))

rewrite354.0ms (2.9%)

Memory

-20.8MiB live, 292.8MiB allocated

Rules

3 534×	`lower-*.f64`
3 520×	`lower-*.f32`
3 338×	`lower-/.f64`
3 338×	`lower-/.f32`
2 878×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	222
0	77	187
1	248	187
2	1441	164
0	9050	162

Stop Event

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

Counts

24 → 702

Calls

Call 1

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

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

eval234.0ms (1.9%)

Memory: -4.4MiB live, 235.5MiB allocated
Compiler: Compiled 42 205 to 3 703 computations (91.2% saved)

prune339.0ms (2.8%)

Memory

35.3MiB live, 355.2MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1 331	27	1 358
Fresh	14	4	18
Picked	3	2	5
Done	0	1	1
Total	1 348	34	1 382

Accuracy

99.8%

Counts

1 382 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.1%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(literal 0 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.5%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.f32 (sqrt.f32 (.f32 (neg.f32 (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log ( (+ (* u1 (neg u1)) 1) 1)) (.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 (.f32 u1 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) (.f32 u1 (neg.f32 u1))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (log.f32 (PI.f32)))) u2)))
✓	92.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.2%	(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1)))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.5%	(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1)))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.9%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.8%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.3%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 2/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (sqrt.f32 (log1p.f32 u1))))
▶	64.3%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
	91.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
▶	89.0%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
▶	88.7%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))))
	81.0%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))

Compiler

Compiled 1 741 to 1 146 computations (34.2% saved)

simplify468.0ms (3.8%)

Memory

-13.1MiB live, 430.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
cost-diff	0	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32))
cost-diff	0	(fma.f32 #s(literal -2 binary32) (.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
cost-diff	0	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
cost-diff	0	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
cost-diff	0	(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
cost-diff	0	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(sqrt.f32 (log1p.f32 u1))
cost-diff	0	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
cost-diff	3200	(log.f32 (E.f32))

Rules

18 432×	`lower-fma.f64`
18 428×	`lower-fma.f32`
4 480×	`lower-+.f64`
4 480×	`lower-+.f32`
3 902×	`lower--.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	373
0	105	368
1	178	335
2	276	334
3	467	334
4	830	334
5	957	334
6	1099	334
7	1332	334
8	1822	334
9	2407	334
10	3065	334
11	3918	334
12	4350	334
13	4590	334
14	4672	334
0	8273	334

Stop Event

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

Calls

Call 1

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

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

localize243.0ms (2%)

Memory

-10.7MiB live, 346.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(log1p.f32 (*.f32 u1 (neg.f32 u1)))
accuracy	0.1328125	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.3125	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
accuracy	0.40234375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3125	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
accuracy	0.363945019536884	(.f32 (.f32 u2 u2) (PI.f32))
accuracy	0.39681625976844204	(.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32))
accuracy	3.3417362892025704	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
accuracy	0.18359375	(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
accuracy	0.26171875	(.f32 u1 (.f32 u1 u1))
accuracy	0.40234375	(*.f32 u2 (PI.f32))
accuracy	3.417918824935448	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))))
accuracy	0.00390625	(log1p.f32 u1)
accuracy	0.08203125	(sqrt.f32 (log1p.f32 u1))
accuracy	5.993241638685498	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
accuracy	0.1171875	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy	0.1328125	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
accuracy	0.40234375	(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
accuracy	1.0	(log.f32 (E.f32))

Samples

184.0ms

256×

valid

Compiler

Compiled 386 to 57 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 36.0ms (26.6% of total)

ival-pow2: 29.0ms (21.4% of total)

ival-add: 15.0ms (11.1% of total)

ival-sub: 12.0ms (8.9% of total)

ival-cos: 10.0ms (7.4% of total)

ival-sqrt: 9.0ms (6.6% of total)

ival-log: 7.0ms (5.2% of total)

ival-log1p: 6.0ms (4.4% of total)

ival-pow: 4.0ms (3% of total)

ival-neg: 3.0ms (2.2% of total)

ival-e: 2.0ms (1.5% of total)

ival-pi: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series159.0ms (1.3%)

Memory

0.3MiB live, 240.6MiB allocated

Counts

25 → 360

Calls

Call 1

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

Outputs
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E))))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E))))))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (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) (log (E)))))) (* (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) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (- 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) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (log (- 1 u1))) (sqrt -1)) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1)))) (sqrt (log (- 1 u1)))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (* (pow (log (E)) 6) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1))) (sqrt (log (- 1 u1)))))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1)))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2))) #<representation binary32>) () ())) ())
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#s(alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) (taylor -inf u1) (#s(alt (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (patch (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor 0 u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor 0 u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor 0 u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor 0 u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor inf u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor inf u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor inf u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor inf u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor -inf u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor -inf u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor -inf u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (PI)) (taylor -inf u2) (#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor 0 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 0 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 0 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 0 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 (* 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 (* 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 (* -1 (pow u1 2)) (taylor 0 u1) (#s(alt (log1p.f32 (.f32 u1 (neg.f32 u1))) (patch (log1p.f32 (.f32 u1 (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (- (* -1/2 (pow u1 2)) 1)) (taylor 0 u1) (#s(alt (log1p.f32 (.f32 u1 (neg.f32 u1))) (patch (log1p.f32 (.f32 u1 (neg.f32 u1))) #<representation binary32>) () ())) ())
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#s(alt (+ (log -1) (* -2 (log (/ 1 u1)))) (taylor inf u1) (#s(alt (log1p.f32 (.f32 u1 (neg.f32 u1))) (patch (log1p.f32 (.f32 u1 (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (/ 1 (pow u1 2))) (taylor inf u1) (#s(alt (log1p.f32 (.f32 u1 (neg.f32 u1))) (patch (log1p.f32 (.f32 u1 (neg.f32 u1))) #<representation binary32>) () ())) ())
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#s(alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2))) (taylor inf u1) (#s(alt (log1p.f32 (.f32 u1 (neg.f32 u1))) (patch (log1p.f32 (.f32 u1 (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -2 (log (/ -1 u1)))) (taylor -inf u1) (#s(alt (log1p.f32 (.f32 u1 (neg.f32 u1))) (patch (log1p.f32 (.f32 u1 (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (* -2 (log (/ -1 u1)))) (/ 1 (pow u1 2))) (taylor -inf u1) (#s(alt (log1p.f32 (.f32 u1 (neg.f32 u1))) (patch (log1p.f32 (.f32 u1 (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2))))) (taylor -inf u1) (#s(alt (log1p.f32 (.f32 u1 (neg.f32 u1))) (patch (log1p.f32 (.f32 u1 (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2))) (taylor -inf u1) (#s(alt (log1p.f32 (.f32 u1 (neg.f32 u1))) (patch (log1p.f32 (.f32 u1 (neg.f32 u1))) #<representation binary32>) () ())) ())

Calls

90 calls:

Time	Variable		Point	Expression
61.0ms	u2	@	0	(* (* 2 (* (PI) (log (E)))) u2)
32.0ms	u2	@	inf	(* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))))
19.0ms	u2	@	inf	(* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1)))
7.0ms	u2	@	0	(* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))))
3.0ms	u1	@	-inf	(* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))))

simplify360.0ms (2.9%)

Memory

3.6MiB live, 556.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 268×	`lower-fma.f64`
11 268×	`lower-fma.f32`
8 266×	`lower-*.f64`
8 266×	`lower-*.f32`
3 904×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	790	9486
1	2465	7855
0	8626	7344

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 358

Calls

Call 1

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

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

rewrite255.0ms (2.1%)

Memory

39.1MiB live, 506.6MiB allocated

Rules

4 192×	`lower-fma.f64`
4 188×	`lower-fma.f32`
3 354×	`lower-*.f64`
3 326×	`lower-*.f32`
2 984×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	268
0	105	233
1	333	208
2	1816	181
0	9100	180

Stop Event

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

Counts

25 → 797

Calls

Call 1

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

Outputs
#s(literal 1 binary32)
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (.f32 (.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(fabs.f32 (PI.f32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (exp.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))))) (exp.f32 (.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))))
(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(.f32 (cbrt.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (cbrt.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 1/4 binary32) (log.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (log.f32 (log1p.f32 u1)))) #s(literal 1 binary32)))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))
(pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 1 binary32))
(pow.f32 (.f32 (E.f32) (E.f32)) (.f32 #s(literal 1/4 binary32) (log.f32 (log1p.f32 u1))))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 4 binary32)) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 u1)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 (log1p.f32 (.f32 u1 u1)) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (sqrt.f32 (.f32 (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (.f32 u1 u1)) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (.f32 u1 u1))))))))
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(/.f32 (neg.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1)))))) (neg.f32 (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))))))
(/.f32 (neg.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1))) (neg.f32 (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))))
(/.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (-.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))) (.f32 (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)) u1)) (.f32 (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)) (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))))) (neg.f32 (neg.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)))) (neg.f32 (neg.f32 (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)))))
(/.f32 (neg.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)))) (neg.f32 (-.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))) #s(literal 3 binary32)) (pow.f32 (/.f32 u1 (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))) (/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))) (fma.f32 (/.f32 u1 (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))) (.f32 (/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)))))))
(.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)) u1 (sqrt.f32 u1)))
(.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))))))
(.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)) (.f32 #s(literal 1/4 binary32) (*.f32 u1 u1))))))
(.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))))
(.f32 (neg.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))))))
(.f32 (neg.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)))))
(.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))))))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 u2) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 u2) #s(literal 2 binary32) (log.f32 (PI.f32))))
(pow.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))
(pow.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) #s(literal 2 binary32))
(.f32 (PI.f32) (.f32 u2 u2))
(.f32 u2 (.f32 (PI.f32) u2))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 u2 u2)))
(.f32 (.f32 (PI.f32) u2) u2)
(.f32 (.f32 u2 u2) (PI.f32))
(.f32 (.f32 (PI.f32) (*.f32 u2 u2)) #s(literal 1 binary32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 u2)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 u2)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 u2 u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(log1p.f32 (*.f32 u1 u1))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(+.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 u1)))
(+.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal 1 binary32)) (.f32 u1 u1)))))
(+.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (neg.f32 (log.f32 (+.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal 1 binary32)) (.f32 u1 u1)))))
(+.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (neg.f32 (log1p.f32 (.f32 (*.f32 u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(+.f32 (log.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(+.f32 (log.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (neg.f32 (log1p.f32 (.f32 u1 u1))))
(fma.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log1p.f32 (.f32 u1 u1))) #s(literal 0 binary32))
(-.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 0 binary32))
(-.f32 (log1p.f32 (.f32 u1 u1)) (/.f32 #s(literal 0 binary32) (log1p.f32 (.f32 u1 u1))))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log.f32 (+.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal 1 binary32)) (.f32 u1 u1))))
(-.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log1p.f32 (.f32 (*.f32 u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(-.f32 (log.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal -1 binary32))) (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log1p.f32 (.f32 u1 u1)))
(-.f32 (log.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (+.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (*.f32 u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal -1 binary32)))) (log.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 u1))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 (.f32 u1 u1)) (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32))))
(/.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32)))
(/.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32)) (log1p.f32 (.f32 u1 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32))) (neg.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32))) (neg.f32 (log1p.f32 (.f32 u1 u1))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (+.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (fma.f32 (log.f32 (+.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal 1 binary32)) (.f32 u1 u1))) (log.f32 (+.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log.f32 (+.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 (.f32 u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (fma.f32 (log1p.f32 (.f32 (.f32 u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (log1p.f32 (.f32 (.f32 u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log1p.f32 (.f32 (*.f32 u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal -1 binary32))) (log.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (log.f32 (fma.f32 (.f32 u1 u1) (*.f32 u1 u1) #s(literal -1 binary32))) (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log1p.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log1p.f32 (.f32 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32)) #s(literal 0 binary32)) (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32)))
(.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32))))
(.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 u1 u1))))
(log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))

eval160.0ms (1.3%)

Memory: -13.8MiB live, 421.8MiB allocated
Compiler: Compiled 51 978 to 3 670 computations (92.9% saved)

prune319.0ms (2.6%)

Memory

20.4MiB live, 900.0MiB allocated

Pruning

57 alts after pruning (53 fresh and 4 done)

	Pruned	Kept	Total
New	1 553	43	1 596
Fresh	16	10	26
Picked	4	1	5
Done	0	3	3
Total	1 573	57	1 630

Accuracy

99.9%

Counts

1 630 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.3%	(.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (.f32 #s(literal 1/4 binary32) (log.f32 (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.3%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (-.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log1p.f32 (.f32 (.f32 u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	95.0%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 (.f32 u1 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (log.f32 (PI.f32)))) u2)))
✓	92.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.2%	(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.5%	(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.8%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.1%	(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.1%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))))
	36.5%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))
	64.2%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))))
▶	65.8%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
	81.0%	#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
	88.5%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (-.f32 (.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))))
	88.5%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)) u1 (sqrt.f32 u1)))))
▶	88.3%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))))
	88.5%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))))
	88.7%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)) u1 (sqrt.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))
	87.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
	86.5%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 u1 #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
	85.3%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))))))
	82.6%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (neg.f32 (*.f32 u1 u1)))))))
	52.9%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
	85.0%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
▶	83.5%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	80.2%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	84.8%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
	83.2%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))
	80.0%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))))
	82.2%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)))))
	84.5%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1)))))
	80.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))
	70.4%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1))))
	88.8%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	88.4%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)))))
	88.7%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))))
	88.7%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))))
	88.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))))))
	88.3%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)))) (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)))))))
	80.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 #s(approx (cos ( 2 (* u2 (PI)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))))
▶	82.2%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))))
	70.4%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))))
	80.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))
	73.4%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))

Compiler

Compiled 2 899 to 1 908 computations (34.2% saved)

simplify225.0ms (1.8%)

Memory

-7.6MiB live, 429.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	96	(/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))
cost-diff	256	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))))
cost-diff	320	(fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))))
cost-diff	480	(fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))
cost-diff	0	(.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32))
cost-diff	0	(fma.f32 #s(literal -2 binary32) (.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
cost-diff	0	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
cost-diff	0	(*.f32 u1 u1)
cost-diff	0	#s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))))
cost-diff	0	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))))
cost-diff	832	(fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1))
cost-diff	0	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))
cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))))
cost-diff	0	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

10 894×	`lower-fma.f64`
10 876×	`lower-fma.f32`
6 168×	`lower-*.f64`
6 122×	`lower-*.f32`
2 780×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	871
0	158	835
1	293	816
2	681	762
3	2248	762
4	4913	762
0	8899	745

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))))
(-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(log1p.f32 u1)
u1
#s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))
(*.f32 u1 u1)
(fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))
#s(literal -1/2 binary32)
#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
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))))
#s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))))
(fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))
(*.f32 u1 u1)
u1
(.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(.f32 #s(literal -2 binary32) (.f32 u2 u2))
#s(literal -2 binary32)
(*.f32 u2 u2)
u2
#s(literal 1 binary32)
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1/4 binary32)
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(sqrt.f32 u1)
#s(literal 1/6 binary32)
(.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
(.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(fma.f32 #s(literal -2 binary32) (.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
#s(literal -2 binary32)
(.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32))
(.f32 (.f32 u2 u2) (PI.f32))
(*.f32 u2 u2)
u2
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))
(-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))
#s(approx (log (+ 1 u1)) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32))
#s(literal 1/3 binary32)
#s(literal -1/2 binary32)
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
(neg.f32 u1)
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))))
#s(literal 1 binary32)
(/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))
(fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))))
(.f32 u1 (.f32 u1 u1))
u1
(*.f32 u1 u1)
#s(literal 1/16 binary32)
(-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))
(.f32 #s(literal 1/4 binary32) (.f32 u1 u1))
#s(literal 1/4 binary32)
(.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))
(sqrt.f32 u1)
(.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
#s(literal 1/64 binary32)
(.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (sqrt.f32 u1))
(cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(PI.f32)
(*.f32 #s(literal 2 binary32) u2)
#s(literal 2 binary32)
u2

Outputs
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))))
(-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(log1p.f32 u1)
u1
#s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))
(*.f32 u1 u1)
(fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))
#s(literal -1/2 binary32)
#s(literal -1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) #s(literal 1 binary32)) (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)))))
#s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))))
#s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) #s(literal 1 binary32)) (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))))
(fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) #s(literal 1 binary32)) (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)))
(*.f32 u1 u1)
u1
(.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))))
(.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) #s(literal 1 binary32)) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (*.f32 u2 u2))) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(.f32 #s(literal -2 binary32) (.f32 u2 u2))
#s(literal -2 binary32)
(*.f32 u2 u2)
u2
#s(literal 1 binary32)
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))
(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1/4 binary32)
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(sqrt.f32 u1)
#s(literal 1/6 binary32)
(.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
(.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(fma.f32 #s(literal -2 binary32) (.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -2 binary32) (*.f32 u2 u2))) #s(literal 1 binary32))
#s(literal -2 binary32)
(.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32))
(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 u2 u2)))
(.f32 (.f32 u2 u2) (PI.f32))
(.f32 (PI.f32) (.f32 u2 u2))
(*.f32 u2 u2)
u2
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))
(sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))
(-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))
(-.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))
#s(approx (log (+ 1 u1)) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1))
#s(approx (log (+ 1 u1)) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)
(fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32))) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32))
#s(literal 1/3 binary32)
#s(literal -1/2 binary32)
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
(neg.f32 u1)
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 #s(literal 1/64 binary32)) u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/16 binary32) #s(literal -1/4 binary32)) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 #s(literal 1/64 binary32)) u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/16 binary32) #s(literal -1/4 binary32)) u1))
#s(literal 1 binary32)
(/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 u1) (fma.f32 u1 (.f32 (.f32 u1 u1) #s(literal 1/64 binary32)) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 #s(literal 1/16 binary32) #s(literal -1/4 binary32)))))
(fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/16 binary32) #s(literal -1/4 binary32)) u1)
(.f32 u1 (.f32 u1 u1))
u1
(*.f32 u1 u1)
#s(literal 1/16 binary32)
(-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))
(fma.f32 (*.f32 u1 u1) #s(literal -1/4 binary32) u1)
(.f32 #s(literal 1/4 binary32) (.f32 u1 u1))
(.f32 (.f32 u1 u1) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 #s(literal 1/64 binary32)) u1)))
(fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))
(.f32 (sqrt.f32 u1) (fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 #s(literal 1/64 binary32)) u1))
(sqrt.f32 u1)
(.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))
#s(literal 1/64 binary32)
(.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1)))
(.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (sqrt.f32 u1)))
(*.f32 u1 (sqrt.f32 u1))
(cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(PI.f32)
(*.f32 #s(literal 2 binary32) u2)
#s(literal 2 binary32)
u2

localize324.0ms (2.7%)

Memory

0.3MiB live, 593.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.28515625	(/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))
accuracy	0.3514204714573573	(PI.f32)
accuracy	0.39453125	(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
accuracy	3.2743526529850295	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))))
accuracy	0.363945019536884	(.f32 (.f32 u2 u2) (PI.f32))
accuracy	0.39681625976844204	(.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32))
accuracy	2.259417089436682	#s(approx (log (+ 1 u1)) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1))
accuracy	3.3417362892025704	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
accuracy	0.375	(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
accuracy	0.98828125	(*.f32 (PI.f32) (PI.f32))
accuracy	2.537206401651562	#s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))))
accuracy	3.3417362892025704	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))))
accuracy	0	(sqrt.f32 u1)
accuracy	5.9598553322015615	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
accuracy	7.134050740057443	#s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1))
accuracy	0.3125	(-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))
accuracy	0.3514204714573573	(PI.f32)
accuracy	0.39453125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	1.7686217322573532	#s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))

Samples

164.0ms	253×	0	valid
6.0ms	3×	5	exit

Compiler

Compiled 678 to 80 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 78.0ms (55% of total)

ival-add: 11.0ms (7.8% of total)

const: 8.0ms (5.6% of total)

ival-sqrt: 8.0ms (5.6% of total)

ival-cos: 6.0ms (4.2% of total)

ival-div: 5.0ms (3.5% of total)

ival-log1p: 5.0ms (3.5% of total)

ival-pow: 4.0ms (2.8% of total)

ival-log: 4.0ms (2.8% of total)

ival-sub: 3.0ms (2.1% of total)

ival-pow2: 3.0ms (2.1% of total)

ival-neg: 3.0ms (2.1% of total)

adjust: 2.0ms (1.4% of total)

ival-pi: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series59.0ms (0.5%)

Memory

-6.4MiB live, 110.3MiB allocated

Counts

28 → 432

Calls

Call 1

Inputs
#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (patch (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #<representation binary32>) () ())
#s(alt (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))) (patch (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))) #<representation binary32>) () ())
#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())
#s(alt #s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1))) (patch #s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)) (patch #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) (patch (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))))) (patch #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))) (patch #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (.f32 u1 u1) (patch (.f32 u1 u1) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))))) (patch #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))))) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (patch (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) (patch (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #<representation binary32>) () ())
#s(alt (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (patch (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (patch (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) (patch #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) (PI.f32)) (patch (.f32 (PI.f32) (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (patch (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (patch #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 u2 u2) (PI.f32)) (patch (.f32 (.f32 u2 u2) (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))))) (patch #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))))) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)) (patch (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)) #<representation binary32>) () ())

Outputs
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1))))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* (pow u1 3) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* 1/6 (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))) (taylor -inf u1) (#s(alt (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) (patch (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))) (taylor 0 u2) (#s(alt (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) (patch (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))) (taylor 0 u2) (#s(alt (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) (patch (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))))) (taylor 0 u2) (#s(alt (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) (patch (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))))) (taylor inf u2) (#s(alt (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) (patch (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (+ (* (sqrt u1) (/ 1 (pow u2 2))) (/ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (pow u2 2)))))) (taylor inf u2) (#s(alt (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) (patch (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (+ (* (sqrt u1) (/ 1 (pow u2 2))) (/ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (pow u2 2)))))) (taylor inf u2) (#s(alt (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) (patch (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (+ (* -2 (* (pow u1 2) (* (pow (PI) 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))) (+ (* (sqrt u1) (/ 1 (pow u2 2))) (/ (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))) (pow u2 2)))))) (taylor inf u2) (#s(alt (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) (patch (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (+ (* u1 (- (* u1 (- (* -1/4 (* u1 (+ (* -1/16 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/16 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (+ (* -1/16 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/16 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (* -1/4 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI))))))) (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (- (+ (* -1 (/ (+ (* -4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))) (pow u1 2))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))) (* -1 (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))) (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (- (+ (* -4 (/ (+ (* -4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))) (pow u1 3))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))) (+ (* -4 (* (sqrt (/ 1 (pow u1 5))) (cos (* 2 (* u2 (PI)))))) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))) (* 4 (* (sqrt (/ 1 (pow u1 5))) (cos (* 2 (* u2 (PI)))))))))) (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (* -1/4 (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* -1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))) (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))) u1)) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) u1)) (* -1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))) (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (+ (* 4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 4 (/ (+ (* -4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))) u1)))) u1)) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) u1)) (* -1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))) (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (taylor 0 u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (/ (* (pow u2 2) (* (pow (PI) 2) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))))) (+ (* 1/64 (* (sqrt (pow u1 9)) (/ 1 (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))))) (* (sqrt (pow u1 3)) (/ 1 (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))))))) (taylor 0 u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/64 (* (sqrt (pow u1 9)) (/ 1 (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))))) (+ (* (sqrt (pow u1 3)) (/ 1 (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (/ (* (pow (PI) 2) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))))) (* 2/3 (/ (* (pow u2 2) (* (pow (PI) 4) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))))))))) (taylor 0 u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/64 (* (sqrt (pow u1 9)) (/ 1 (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))))) (+ (* (sqrt (pow u1 3)) (/ 1 (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (/ (* (pow (PI) 2) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))))) (* (pow u2 2) (+ (* -4/45 (/ (* (pow u2 2) (* (pow (PI) 6) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))))) (* 2/3 (/ (* (pow (PI) 4) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))))))))))) (taylor 0 u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (taylor inf u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (taylor inf u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (taylor inf u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (taylor inf u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (taylor -inf u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (taylor -inf u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (taylor -inf u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (taylor -inf u2) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI))))))) (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI))))))) (taylor 0 u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (+ (* u1 (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI))))))) (* 1/16 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI))))))))) (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI))))))) (taylor 0 u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (+ (* u1 (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI))))))) (* u1 (+ (* -1/64 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI))))))) (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI))))))))))) (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI))))))) (taylor 0 u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 2 (* u2 (PI))))))) (taylor inf u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI))))))) (* 4 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI)))))))) (pow u1 2)) (taylor inf u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI))))))) (+ (* 4 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI))))))) (* 64 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (taylor inf u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -256 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (cos (* 2 (* u2 (PI))))))) (+ (* -16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI))))))) (+ (* 4 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI))))))) (* 64 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 2 (* u2 (PI)))))))))) (pow u1 2)) (taylor inf u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* -4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 2 (* u2 (PI))))))) (taylor -inf u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -4 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI))))))) (* 16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI)))))))) (pow u1 2)) (taylor -inf u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -4 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI))))))) (* -1 (/ (+ (* -16 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI))))))) (* 64 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI)))))))) u1))) (pow u1 2)) (taylor -inf u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -4 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI))))))) (* -1 (/ (+ (* -16 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI))))))) (* -1 (/ (+ (* -64 (* (sqrt u1) (/ 1 (cos (* 2 (* u2 (PI))))))) (* 256 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 2 (* u2 (PI)))))))) u1))) u1))) (pow u1 2)) (taylor -inf u1) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
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#s(alt (- (+ (* 1/16 (/ (pow u1 3) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (+ (* 2 (/ (* (pow u2 2) (* (pow (PI) 2) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (/ u1 (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))))) (* 1/4 (/ (pow u1 2) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))))) (taylor 0 u2) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* 1/16 (/ (pow u1 3) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -4 (/ (* (pow (PI) 4) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (* 2/3 (/ (* (pow (PI) 4) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))))))) (* -2 (/ (* (pow (PI) 2) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))))) (/ u1 (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))))) (* 1/4 (/ (pow u1 2) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))))) (taylor 0 u2) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* 1/16 (/ (pow u1 3) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -4/45 (/ (* (pow (PI) 6) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (+ (* 4/3 (/ (* (pow (PI) 6) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (* 2 (* (pow (PI) 2) (+ (* -4 (/ (* (pow (PI) 4) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (* 2/3 (/ (* (pow (PI) 4) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))))))))))) (+ (* -4 (/ (* (pow (PI) 4) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (* 2/3 (/ (* (pow (PI) 4) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))))))) (* -2 (/ (* (pow (PI) 2) (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))))) (/ u1 (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))))) (* 1/4 (/ (pow u1 2) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9))))))) (taylor 0 u2) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))) (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (taylor inf u2) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))) (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (taylor inf u2) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))) (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (taylor inf u2) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))) (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (taylor inf u2) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))) (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (taylor -inf u2) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))) (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (taylor -inf u2) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))) (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (taylor -inf u2) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ u1 (* 1/16 (pow u1 3))) (* 1/4 (pow u1 2))) (* (cos (* 2 (* u2 (PI)))) (+ (sqrt (pow u1 3)) (* 1/64 (sqrt (pow u1 9)))))) (taylor -inf u2) (#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 2)) (taylor 0 u1) (#s(alt #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) (patch #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (- (* -1/2 (pow u1 2)) 1)) (taylor 0 u1) (#s(alt #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) (patch #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (- (* (pow u1 2) (- (* -1/3 (pow u1 2)) 1/2)) 1)) (taylor 0 u1) (#s(alt #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) (patch #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (- (* (pow u1 2) (- (* (pow u1 2) (- (* -1/4 (pow u1 2)) 1/3)) 1/2)) 1)) (taylor 0 u1) (#s(alt #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) (patch #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -2 (log (/ 1 u1)))) (taylor inf u1) (#s(alt #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) (patch #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (/ 1 (pow u1 2))) (taylor inf u1) (#s(alt #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) (patch #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 2)))) (pow u1 2))))) (taylor inf u1) (#s(alt #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) (patch #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 2)))) (pow u1 4))))) (/ 1 (pow u1 2))) (taylor inf u1) (#s(alt #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) (patch #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* u2 (PI))) (taylor 0 u2) (#s(alt (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)) (patch (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)) (patch (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)) (patch (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)) #<representation binary32>) () ())) ())
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Calls

108 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	0	(/ 1 (/ (+ (* (* u1 (* u1 u1)) 1/16) (- u1 (* 1/4 (* u1 u1)))) (* (+ (* u1 (sqrt u1)) (* 1/64 (* (* u1 (* u1 u1)) (* u1 (sqrt u1))))) (cos (* (PI) (* 2 u2))))))
2.0ms	u2	@	inf	(/ 1 (/ (+ (* (* u1 (* u1 u1)) 1/16) (- u1 (* 1/4 (* u1 u1)))) (* (+ (* u1 (sqrt u1)) (* 1/64 (* (* u1 (* u1 u1)) (* u1 (sqrt u1))))) (cos (* (PI) (* 2 u2))))))
1.0ms	u2	@	0	(/ 1 (/ (+ (* (* u1 (* u1 u1)) 1/16) (- u1 (* 1/4 (* u1 u1)))) (* (+ (* u1 (sqrt u1)) (* 1/64 (* (* u1 (* u1 u1)) (* u1 (sqrt u1))))) (cos (* (PI) (* 2 u2))))))
1.0ms	u2	@	0	(+ (* (* u1 u1) (* (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1) (+ (* (sqrt (/ 1 u1)) 1/4) (* (sqrt u1) 1/6)))) (* (sqrt u1) (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1)))
1.0ms	u2	@	0	(/ (+ (* (* u1 (* u1 u1)) 1/16) (- u1 (* 1/4 (* u1 u1)))) (* (+ (* u1 (sqrt u1)) (* 1/64 (* (* u1 (* u1 u1)) (* u1 (sqrt u1))))) (cos (* (PI) (* 2 u2)))))

simplify339.0ms (2.8%)

Memory

15.6MiB live, 444.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 214×	`lower-fma.f64`
12 214×	`lower-fma.f32`
9 236×	`lower-*.f64`
9 236×	`lower-*.f32`
4 504×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	862	13325
1	2705	11104
0	8627	10284

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 428

Calls

Call 1

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

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

rewrite331.0ms (2.7%)

Memory

16.9MiB live, 424.1MiB allocated

Rules

5 160×	`lower-*.f64`
5 114×	`lower-*.f32`
4 864×	`lower-fma.f64`
4 846×	`lower-fma.f32`
2 544×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	597
0	158	566
1	550	505
2	3959	497
0	8542	477

Stop Event

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

Counts

28 → 477

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))))
(-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(log1p.f32 u1)
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
(fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))))
#s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))))
(*.f32 u1 u1)
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
(.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(fma.f32 #s(literal -2 binary32) (.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32))
(fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))
(fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))))
(/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))
#s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(PI.f32)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
#s(approx (log (+ 1 u1)) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1))
(.f32 (.f32 u2 u2) (PI.f32))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))

Outputs
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
(exp.f32 (.f32 (log.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) #s(literal 1/2 binary32)))
(pow.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (sqrt.f32 (fma.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (-.f32 (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (.f32 (log1p.f32 u1) (neg.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (neg.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))))) (sqrt.f32 (neg.f32 (fma.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)))))
(.f32 (pow.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/4 binary32)) (pow.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/4 binary32)))
(+.f32 (log1p.f32 u1) (neg.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(+.f32 (neg.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (log1p.f32 u1))
(pow.f32 (/.f32 (fma.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (fma.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (/.f32 (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (fma.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (+.f32 #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 u1 (.f32 u1 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
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(.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(.f32 (cbrt.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (cbrt.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))
(sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (PI.f32) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (PI.f32)) (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
(*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))
#s(approx (log (+ 1 u1)) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 u2) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 u2) #s(literal 2 binary32) (log.f32 (PI.f32))))
(pow.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))
(pow.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) #s(literal 2 binary32))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 u2 u2)))
(.f32 (PI.f32) (.f32 u2 u2))
(.f32 u2 (.f32 (PI.f32) u2))
(.f32 (.f32 u2 u2) (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 u2)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 u2)))
(.f32 (.f32 (PI.f32) u2) u2)
(.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 u2 u2) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 u2 u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 (.f32 (fma.f32 #s(literal 1/64 binary32) (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32)) (.f32 u1 (sqrt.f32 u1))) (fma.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/16 binary32))) (fma.f32 (.f32 u1 u1) #s(literal -1/4 binary32) u1)))))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

eval178.0ms (1.5%)

Memory: 16.0MiB live, 317.1MiB allocated
Compiler: Compiled 60 000 to 3 934 computations (93.4% saved)

prune326.0ms (2.7%)

Memory

-2.9MiB live, 676.5MiB allocated

Pruning

67 alts after pruning (60 fresh and 7 done)

	Pruned	Kept	Total
New	1 412	17	1 429
Fresh	5	43	48
Picked	2	3	5
Done	0	4	4
Total	1 419	67	1 486

Accuracy

99.9%

Counts

1 486 → 67

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.3%	(.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (.f32 #s(literal 1/4 binary32) (log.f32 (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.3%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (-.f32 (log1p.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (log1p.f32 (.f32 (.f32 u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	95.0%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 ( u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.7%	(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 (.f32 u1 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (log.f32 (PI.f32)))) u2)))
✓	92.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.2%	(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.4%	(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.5%	(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.8%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.1%	(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	64.1%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))))
	36.5%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))
	64.2%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))))
	65.7%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
✓	65.8%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
	81.0%	#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
	88.5%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (-.f32 (.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))))
	88.3%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32))))))))
	86.3%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))))
	88.3%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 #s(approx (+ ( u1 (sqrt u1)) (* 1/64 (* (* u1 (* u1 u1)) (* u1 (sqrt u1))))) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))))
	88.2%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/16 binary32))) (fma.f32 (.f32 u1 u1) #s(literal -1/4 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (fma.f32 #s(literal 1/64 binary32) (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 (sqrt.f32 u1))))))))
	89.0%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (* u1 (* u1 u1)) 1/16) (- u1 (* 1/4 (* u1 u1)))) (* (+ (* u1 (sqrt u1)) (* 1/64 (* (* u1 (* u1 u1)) (* u1 (sqrt u1))))) (cos (* (PI) (* 2 u2))))) (.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
	88.7%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)) u1 (sqrt.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))
	83.5%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
	87.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
	86.5%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 u1 #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
	85.3%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))))))
	52.9%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
	85.0%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
✓	83.5%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	84.8%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
	83.2%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))
	80.0%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))))
	82.2%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)))))
	84.5%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1)))))
	80.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))
	70.4%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1))))
	88.8%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) #s(literal -1 binary32)) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) #s(literal -1 binary32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	88.4%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)))))
	88.7%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))))
	88.7%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))))
	88.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))))))
	88.3%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)))) (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)))))))
	76.2%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 #s(approx (+ ( -2 (* (* (* u2 u2) (PI)) (PI))) 1) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	80.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 #s(approx (cos ( 2 (* u2 (PI)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))))
	88.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (/ 1 (/ (+ (* (* u1 (* u1 u1)) 1/16) (- u1 (* 1/4 (* u1 u1)))) (* (+ (* u1 (sqrt u1)) (* 1/64 (* (* u1 (* u1 u1)) (* u1 (sqrt u1))))) (cos (* (PI) (* 2 u2)))))) (.f32 (.f32 u1 u1) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) u1)) (neg.f32 u1))))))
	82.3%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (*.f32 u1 u1))))))
	82.2%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) (sqrt.f32 u1) (+.f32 (sqrt.f32 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (.f32 u1 u1)))))))
	82.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))))
	82.3%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (+.f32 (fma.f32 u1 (.f32 (.f32 u1 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32))) #s(literal 1 binary32))) (.f32 (sqrt.f32 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))))) (sqrt.f32 u1))))
	70.4%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))))
	75.0%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) #s(approx (+ (* (* u1 u1) (* (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1) (+ (* (sqrt (/ 1 u1)) 1/4) (* (sqrt u1) 1/6)))) (* (sqrt u1) (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1))) (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)))))
	82.2%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) #s(approx (+ (* (* u1 u1) (* (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1) (+ (* (sqrt (/ 1 u1)) 1/4) (* (sqrt u1) 1/6)))) (* (sqrt u1) (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1))) (fma.f32 u1 (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))))))
	4.2%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) #s(approx (+ (* (* u1 u1) (* (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1) (+ (* (sqrt (/ 1 u1)) 1/4) (* (sqrt u1) 1/6)))) (* (sqrt u1) (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1))) (.f32 (.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal -1 binary32)) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))))
	80.1%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))
	73.4%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))

Compiler

Compiled 4 621 to 1 717 computations (62.8% saved)

regimes313.0ms (2.6%)

Memory

11.9MiB live, 485.7MiB allocated

Counts

111 → 1

Calls

Call 1

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

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

Calls

10 calls:

36.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
34.0ms	cosTheta_i
31.0ms	u2
31.0ms	u1
31.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	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)))`
99.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes194.0ms (1.6%)

Memory

-0.7MiB live, 319.7MiB allocated

Counts

72 → 2

Calls

Call 1

Inputs
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 #s(approx (cos ( 2 (* u2 (PI)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) #s(approx (+ (* (* u1 u1) (* (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1) (+ (* (sqrt (/ 1 u1)) 1/4) (* (sqrt u1) 1/6)))) (* (sqrt u1) (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1))) (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) #s(approx (+ (* (* u1 u1) (* (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1) (+ (* (sqrt (/ 1 u1)) 1/4) (* (sqrt u1) 1/6)))) (* (sqrt u1) (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1))) (.f32 (.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal -1 binary32)) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) #s(approx (+ (* (* u1 u1) (* (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1) (+ (* (sqrt (/ 1 u1)) 1/4) (* (sqrt u1) 1/6)))) (* (sqrt u1) (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1))) (fma.f32 u1 (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (*.f32 u1 u1))))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (+.f32 (fma.f32 u1 (.f32 (.f32 u1 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32))) #s(literal 1 binary32))) (.f32 (sqrt.f32 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) (sqrt.f32 u1) (+.f32 (sqrt.f32 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 u2 (.f32 u2 #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 (fma.f32 (sqrt.f32 u1) #s(literal 1/6 binary32) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 u1))) (.f32 u1 u1)))))))
(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1)))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 #s(approx (+ ( -2 (* (* (* u2 u2) (PI)) (PI))) 1) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1)))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (neg.f32 (*.f32 u1 u1)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)) u1 (sqrt.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 u1)) u1 (sqrt.f32 u1)))))
(.f32 (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 (.f32 u1 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 u1 #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (* u1 (* u1 u1)) 1/16) (- u1 (* 1/4 (* u1 u1)))) (* (+ (* u1 (sqrt u1)) (* 1/64 (* (* u1 (* u1 u1)) (* u1 (sqrt u1))))) (cos (* (PI) (* 2 u2))))) (.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (-.f32 (.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1))))
(.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 ( u1 (neg u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (*.f32 u1 #s(literal 1/4 binary32))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (neg.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* u1 (neg u1)))) (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 #s(approx (+ ( u1 (sqrt u1)) (* 1/64 (* (* u1 (* u1 u1)) (* u1 (sqrt u1))))) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)))) (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) (.f32 u1 (neg.f32 u1))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/16 binary32))) (fma.f32 (.f32 u1 u1) #s(literal -1/4 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (fma.f32 #s(literal 1/64 binary32) (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 (sqrt.f32 u1))))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))

Outputs

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

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

Calls

10 calls:

21.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
21.0ms	(-.f32 #s(literal 1 binary32) u1)
21.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
19.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
19.0ms	u2

Results

Accuracy	Segments	Branch
94.2%	1	`cosTheta_i`
94.2%	1	`u1`
97.6%	2	`u2`
97.5%	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)))`
94.2%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.2%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.2%	1	`(-.f32 #s(literal 1 binary32) u1)`
97.6%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.6%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes347.0ms (2.8%)

Memory

-41.4MiB live, 156.6MiB allocated

Counts

70 → 1

Calls

Call 1

Inputs
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 #s(approx (cos ( 2 (* u2 (PI)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) #s(approx (+ (* (* u1 u1) (* (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1) (+ (* (sqrt (/ 1 u1)) 1/4) (* (sqrt u1) 1/6)))) (* (sqrt u1) (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1))) (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) #s(approx (+ (* (* u1 u1) (* (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1) (+ (* (sqrt (/ 1 u1)) 1/4) (* (sqrt u1) 1/6)))) (* (sqrt u1) (+ (* (* (PI) (PI)) (* -2 (* u2 u2))) 1))) (.f32 (.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal -1 binary32)) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))))
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#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 #s(approx (+ ( u1 (sqrt u1)) (* 1/64 (* (* u1 (* u1 u1)) (* u1 (sqrt u1))))) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (.f32 u1 #s(literal 1/4 binary32)))) (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32)))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 u2 u2)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (neg.f32 (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) (.f32 u1 (neg.f32 u1))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 (.f32 u1 (.f32 u1 #s(literal 1/16 binary32))) (fma.f32 (.f32 u1 u1) #s(literal -1/4 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (fma.f32 #s(literal 1/64 binary32) (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 u1 (sqrt.f32 u1))))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/16 binary32) (-.f32 u1 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)))) (.f32 (fma.f32 u1 (sqrt.f32 u1) (.f32 #s(literal 1/64 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))))

Outputs

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

Calls

6 calls:

215.0ms	u2
46.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
29.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
18.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
17.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
94.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.2%	1	`(-.f32 #s(literal 1 binary32) u1)`
94.2%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
94.2%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.2%	1	`u2`
94.2%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 50 to 43 computations (14% saved)

regimes123.0ms (1%)

Memory

2.4MiB live, 160.7MiB allocated

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

24.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
11.0ms	cosTheta_i

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes120.0ms (1%)

Memory

-11.2MiB live, 185.8MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

27.0ms	(-.f32 #s(literal 1 binary32) u1)
11.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
11.0ms	u1
11.0ms	u2
10.0ms	cosTheta_i

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes103.0ms (0.8%)

Memory

28.9MiB live, 182.3MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
93.2%	2	`u2`
93.2%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
88.5%	1	`cosTheta_i`
92.1%	2	`u1`
92.7%	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)))`
92.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
92.1%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.2%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
92.1%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
92.1%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes32.0ms (0.3%)

Memory

-12.0MiB live, 40.1MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	u2
8.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
93.1%	2	`u2`
93.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
93.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes84.0ms (0.7%)

Memory

-14.2MiB live, 144.6MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

10.0ms	u1
9.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
8.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
84.8%	1	`cosTheta_i`
88.3%	2	`u1`
88.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
88.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
88.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
88.3%	2	`(-.f32 #s(literal 1 binary32) u1)`
89.5%	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)))`
90.5%	2	`u2`
90.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
90.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes83.0ms (0.7%)

Memory

21.3MiB live, 95.4MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

23.0ms	(-.f32 #s(literal 1 binary32) u1)
15.0ms	u2
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
6.0ms	u1

Results

Accuracy	Segments	Branch
84.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
84.8%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
84.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
84.8%	1	`(-.f32 #s(literal 1 binary32) u1)`
84.8%	1	`u1`
84.8%	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)))`
84.8%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
84.8%	1	`u2`
84.8%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes41.0ms (0.3%)

Memory

-24.8MiB live, 60.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

10.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
6.0ms	(-.f32 #s(literal 1 binary32) u1)
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms	cosTheta_i
3.0ms	u1

Results

Accuracy	Segments	Branch
83.2%	1	`cosTheta_i`
83.2%	1	`u1`
83.2%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
83.2%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
83.2%	1	`u2`
83.2%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
83.2%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
83.2%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
83.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
83.2%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes41.0ms (0.3%)

Memory

20.2MiB live, 58.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

16.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms	cosTheta_i
3.0ms	u2
3.0ms	u1

Results

Accuracy	Segments	Branch
80.0%	1	`u1`
80.0%	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)))`
80.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
80.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
80.0%	1	`cosTheta_i`
80.0%	1	`u2`
80.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
80.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
80.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
80.0%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes42.0ms (0.3%)

Memory

-29.3MiB live, 48.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

12.0ms	(-.f32 #s(literal 1 binary32) u1)
9.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms	u2

Results

Accuracy	Segments	Branch
77.6%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
76.9%	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)))`
73.4%	1	`cosTheta_i`
76.5%	2	`u1`
77.6%	2	`u2`
76.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
76.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
77.6%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
76.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
76.5%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes8.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	u2
2.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
77.6%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
77.6%	2	`u2`
77.6%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes44.0ms (0.4%)

Memory

-0.1MiB live, 43.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
73.4%	1	`cosTheta_i`
73.4%	1	`u1`
73.4%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
73.4%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
73.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
73.4%	1	`(-.f32 #s(literal 1 binary32) u1)`
73.4%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
73.4%	1	`u2`
73.4%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
73.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes37.0ms (0.3%)

Memory

3.3MiB live, 42.9MiB allocated

Accuracy

Total -0.6b remaining (-5.1%)

Threshold costs -0.6b (-5.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

10 calls:

21.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
2.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
2.0ms	u1
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
65.8%	1	`u2`
65.8%	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)))`
65.8%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
65.8%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
65.8%	1	`cosTheta_i`
65.8%	1	`u1`
65.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
65.8%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
65.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
65.8%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001226320629939437	0.0012490472290664911

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9991520643234253	0.999214768409729

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.039631377905607224	0.04118456691503525

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07361242175102234	0.08378169685602188

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004535244312137365	0.005300561897456646

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004535244312137365	0.005300561897456646

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify14.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary32`
12×	`sub-neg_binary32`
12×	`+-commutative_binary32`
10×	`neg-sub0_binary32`
10×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	914
1	180	914
2	191	914
3	198	914
4	200	914

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 10651519/8589934592 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1)))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8381897/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/1073741824 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/1073741824 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 10651519/8589934592 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 10651519/8589934592 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1)))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1)))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1)))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8381897/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8381897/8388608 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1 binary32)) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/1073741824 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/1073741824 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 u2))) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (sqrt.f32 u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/1073741824 binary32)) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))) #s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (+ (* -2 (* (* (* u2 u2) (PI)) (PI))) 1) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1))))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (neg u1)) 1) 1)) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (* (cos (* 2 (* u2 (PI)))) (+ (* 1/4 (sqrt (* u1 (* u1 u1)))) (sqrt u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))

soundness1.2s (10.2%)

Memory

0.9MiB live, 667.0MiB allocated

Rules

11 268×	`lower-fma.f64`
11 268×	`lower-fma.f32`
10 148×	`lower-fma.f64`
10 148×	`lower-fma.f32`
9 270×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1737
1	858	1458
2	2728	1335
3	6882	1298
0	8134	1246
0	770	8657
1	2348	7214
0	8253	6833
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23
0	790	9486
1	2465	7855
0	8626	7344

Stop Event

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

Compiler

Compiled 709 to 321 computations (54.7% saved)

preprocess318.0ms (2.6%)

Memory

1.8MiB live, 188.3MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 272 to 554 computations (56.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze343.0ms (2.8%)

sample2.1s (17%)

explain154.0ms (1.3%)

preprocess47.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize45.0ms (0.4%)

series42.0ms (0.3%)

simplify288.0ms (2.4%)

rewrite179.0ms (1.5%)

eval30.0ms (0.2%)

prune85.0ms (0.7%)

simplify313.0ms (2.6%)

localize211.0ms (1.7%)

series107.0ms (0.9%)

simplify422.0ms (3.5%)

rewrite354.0ms (2.9%)

eval234.0ms (1.9%)

prune339.0ms (2.8%)

simplify468.0ms (3.8%)

localize243.0ms (2%)

series159.0ms (1.3%)

simplify360.0ms (2.9%)

rewrite255.0ms (2.1%)

eval160.0ms (1.3%)

prune319.0ms (2.6%)

simplify225.0ms (1.8%)

localize324.0ms (2.7%)

series59.0ms (0.5%)

simplify339.0ms (2.8%)

rewrite331.0ms (2.7%)

eval178.0ms (1.5%)

prune326.0ms (2.7%)

regimes313.0ms (2.6%)

regimes194.0ms (1.6%)

regimes347.0ms (2.8%)

regimes123.0ms (1%)

regimes120.0ms (1%)

regimes103.0ms (0.8%)

regimes32.0ms (0.3%)

regimes84.0ms (0.7%)

regimes83.0ms (0.7%)

regimes41.0ms (0.3%)

regimes41.0ms (0.3%)

regimes42.0ms (0.3%)

regimes8.0ms (0.1%)

regimes44.0ms (0.4%)

regimes37.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness1.2s (10.2%)

preprocess318.0ms (2.6%)

end0.0ms (0%)

Profiling