Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze444.0ms (3.5%)

Memory

17.1MiB live, 430.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.9s (22.9%)

Memory

-88.1MiB live, 3 696.2MiB allocated

Samples

2.4s	8 256×	0	valid
1.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-sub: 726.0ms (36% of total)

const: 362.0ms (17.9% of total)

ival-log: 248.0ms (12.3% of total)

ival-mult: 214.0ms (10.6% of total)

ival-<=: 128.0ms (6.3% of total)

ival-cos: 114.0ms (5.6% of total)

ival-sqrt: 58.0ms (2.9% of total)

ival-pi: 47.0ms (2.3% of total)

ival-neg: 46.0ms (2.3% of total)

ival-and: 33.0ms (1.6% of total)

ival->: 30.0ms (1.5% of total)

exact: 9.0ms (0.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain166.0ms (1.3%)

Memory

-19.9MiB live, 384.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
210	2	(0.9999092221260071 0.006428652908653021 0.4008499085903168)	3	(0.9999330043792725 0.011836319230496883 2.1542721384548713e-8)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	209	16

Confusion

	Predicted +	Predicted -
+	206	1
-	3	46

Precision

0.9856459330143541

Recall

0.9951690821256038

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	206	1	0
-	3	15	31

Precision?

0.92

Recall?

1.0

Freqs

test

number	freq
0	47
1	209

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 120 to 46 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 17.0ms (40.5% of total)

ival-log: 8.0ms (19.1% of total)

ival-cos: 6.0ms (14.3% of total)

ival-sub: 3.0ms (7.2% of total)

ival-sqrt: 3.0ms (7.2% of total)

ival-pi: 2.0ms (4.8% of total)

ival-neg: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

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

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

preprocess48.0ms (0.4%)

Memory

5.6MiB live, 58.0MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.6%	(.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)

simplify8.0ms (0.1%)

Memory

-29.5MiB live, 17.4MiB 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

localize40.0ms (0.3%)

Memory

0.2MiB live, 92.1MiB 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	0.14453125	(.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	0.33203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	14.876736767620567	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

26.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-log: 5.0ms (28.9% of total)

ival-mult: 4.0ms (23.1% of total)

ival-cos: 3.0ms (17.4% of total)

ival-sqrt: 2.0ms (11.6% of total)

ival-pi: 1.0ms (5.8% of total)

ival-sub: 1.0ms (5.8% of total)

ival-neg: 1.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory

38.4MiB live, 86.3MiB allocated

Counts

5 → 72

Calls

Call 1

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

Outputs
#s(alt (* -1 u1) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* -1/2 u1) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (+ (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
34.0ms	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)))

simplify300.0ms (2.4%)

Memory

13.9MiB live, 487.1MiB 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)))

rewrite206.0ms (1.6%)

Memory

-32.6MiB live, 342.9MiB 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)))

eval66.0ms (0.5%)

Memory: 20.3MiB live, 64.1MiB allocated
Compiler: Compiled 7 051 to 1 364 computations (80.7% saved)

prune78.0ms (0.6%)

Memory

8.9MiB live, 162.4MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	278	21	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	278	22	300

Accuracy

99.8%

Counts

300 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	75.7%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.2%	(.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)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.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)))
	99.0%	(.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)))
	54.0%	(.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)))
	52.4%	(.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)))
	52.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	87.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.2%	(.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)))
▶	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	55.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.3%	(.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)))
▶	92.9%	(.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)))
	89.7%	(.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)))
	78.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.4%	(.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)))
	93.0%	(.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)))
	89.8%	(.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)))
▶	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 1 134 to 750 computations (33.9% saved)

simplify128.0ms (1%)

Memory

-86.0MiB live, 64.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
cost-diff	0	(.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)))
cost-diff	128	(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
cost-diff	3488	(sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	32	(log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
cost-diff	64	(neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))
cost-diff	160	(.f32 (fma.f32 u1 (.f32 u1 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

1 844×	`lower-fma.f64`
1 836×	`lower-fma.f32`
872×	`lower-*.f64`
852×	`lower-*.f32`
424×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	403
0	91	370
1	158	364
2	266	361
3	396	361
4	505	361
5	778	361
6	1186	361
7	1788	361
8	2065	361
9	2177	361
10	2213	361
11	2231	361
12	2237	361
13	2261	361
14	2261	361
0	2261	351

Stop Event

1×	iter limit
1×	saturated
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 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
u1
(*.f32 u1 u1)
#s(literal 1 binary32)
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 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 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(log1p.f32 u1)
u1
#s(literal 2 binary32)
(sqrt.f32 (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))
(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 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 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 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 u1 u1))))))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1)))))
(neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1))))
(-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
(log1p.f32 (.f32 u1 (.f32 u1 u1)))
(.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
u1
(*.f32 u1 u1)
#s(literal 1 binary32)
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 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 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (fabs.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (fabs.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(fabs.f32 (log1p.f32 u1))
(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(log1p.f32 u1)
u1
#s(literal 2 binary32)
(sqrt.f32 (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))
(PI.f32)
u2

localize202.0ms (1.6%)

Memory

29.3MiB live, 313.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	0.42320253907376804	(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
accuracy	0.48828125	(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
accuracy	0.25	(log1p.f32 (fma.f32 u1 u1 u1))
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	24.935159901106335	(log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
accuracy	0.26171875	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	2.0378866255863675	#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	0.14453125	(.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	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	30.52757144406476	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.1171875	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy	0.14453125	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.3514204714573573	(PI.f32)

Samples

69.0ms	122×	1	valid
46.0ms	131×	0	valid
5.0ms	3×	5	exit

Compiler

Compiled 413 to 50 computations (87.9% saved)

Precisions

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

ival-mult: 19.0ms (21.1% of total)

ival-sqrt: 11.0ms (12.2% of total)

ival-log: 11.0ms (12.2% of total)

adjust: 10.0ms (11.1% of total)

ival-log1p: 8.0ms (8.9% of total)

ival-neg: 8.0ms (8.9% of total)

ival-add: 6.0ms (6.7% of total)

const: 4.0ms (4.5% of total)

ival-pow2: 4.0ms (4.5% of total)

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

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

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

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

exact: 1.0ms (1.1% of total)

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

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

series107.0ms (0.9%)

Memory

-15.2MiB live, 168.0MiB allocated

Counts

25 → 348

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

Outputs
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (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>) () ())) ())
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#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1)))))))) (taylor 0 u1) (#s(alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (log (/ 1 u1))) (sqrt -1)) (taylor inf u1) (#s(alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))) (taylor inf u1) (#s(alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))) (taylor inf u1) (#s(alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))) (taylor inf u1) (#s(alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) (taylor -inf u1) (#s(alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1))) (taylor -inf u1) (#s(alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) (taylor -inf u1) (#s(alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (patch (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) #<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 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 u1 (taylor 0 u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* 1/2 u1))) (taylor 0 u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1))))) (taylor 0 u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3)))))) (taylor 0 u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (* -2 (log (/ 1 u1))) (taylor inf u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 u1))) (/ 1 u1)) (taylor inf u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (taylor inf u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3)))) (taylor inf u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (* -2 (log (/ -1 u1))) (taylor -inf u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 u1))) (/ 1 u1)) (taylor -inf u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (taylor -inf u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1))) (taylor -inf u1) (#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (pow u1 2) (taylor 0 u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ 1 (* -1 u1))) (taylor 0 u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1)))) (taylor 0 u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1)))) (taylor 0 u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (log (/ 1 u1)) 2) (taylor inf u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (/ (log (/ 1 u1)) u1)) (pow (log (/ 1 u1)) 2)) (taylor inf u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2)))) (taylor inf u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (* -2/3 (/ (log (/ 1 u1)) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))) (/ 1 (pow u1 3))) (taylor inf u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2) (taylor -inf u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)) (taylor -inf u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)) (taylor -inf u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)) (taylor -inf u1) (#s(alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #<representation binary32>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
32.0ms	u2	@	inf	(* (sqrt (neg (- (log (* (+ (* u1 (* u1 u1)) 1) 1)) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2)))
31.0ms	u2	@	inf	(* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2)))
11.0ms	u1	@	0	(log (* (+ (* u1 (* u1 u1)) 1) 1))
1.0ms	u2	@	0	(* (sqrt (neg (- (log (* (+ (* u1 (* u1 u1)) 1) 1)) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	-inf	(* (sqrt (neg (- (log (* (+ (* u1 (* u1 u1)) 1) 1)) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2)))

simplify398.0ms (3.2%)

Memory

2.6MiB live, 330.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 066×	`lower-fma.f64`
9 066×	`lower-fma.f32`
6 980×	`lower-*.f64`
6 980×	`lower-*.f32`
3 948×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	759	8650
1	2355	7332
2	7396	7243
0	8020	6818

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 343

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (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))))))))
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(+ (* -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)))))
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(* (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))))
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u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
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(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
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(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) 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)))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* -1/3 (pow u1 3))
(* -1 (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))
(* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))
(* -1/3 (pow u1 3))
(* -1 (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))))
(* -1 (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(* -2 (log (/ 1 u1)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(* -2 (log (/ -1 u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(pow (log (/ 1 u1)) 2)
(+ (* -2 (/ (log (/ 1 u1)) u1)) (pow (log (/ 1 u1)) 2))
(+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))
(- (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (* -2/3 (/ (log (/ 1 u1)) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))) (/ 1 (pow u1 3)))
(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))

Outputs
(* (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))))
(fma.f32 #s(literal -1/4 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (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)))) (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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (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)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/6 binary32) (.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))) (.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)))) (.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)))) (neg.f32 (sqrt.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.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)))))
(+ (* -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 (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 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) #s(literal -1/2 binary32))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 (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) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.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))) (.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))))))
(+ (* -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 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.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 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.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 u1 (.f32 u1 u1))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.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))) (.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)))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* -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) (neg.f32 (log.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 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) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.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 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 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) (neg.f32 (log.f32 (neg.f32 u1))))) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal -1/4 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) (/.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) (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) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (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 (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 u2 u2) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 (.f32 #s(literal -4/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 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))))))))
(* (* (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 (.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))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (.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)))) (neg.f32 (sqrt.f32 u1)))
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(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (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))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (.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)))) (sqrt.f32 u1))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1))))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 u1))) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))
(fma.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 u1))) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 u1))) (log.f32 u1)) #s(literal 1/3 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1)))) (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (log.f32 u1))))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))))) (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))
(-.f32 (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))))) (+.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) #s(literal 1/4 binary32)) u1))) u1))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))
(-.f32 (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.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)) (neg.f32 (log.f32 (neg.f32 u1))))) #s(literal 1/4 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))))) u1) (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) #s(literal -1/4 binary32)))) (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 u1 (*.f32 u1 u1)) (neg.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) 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 u1 (*.f32 u1 u1)) (neg.f32 (+.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))))))
(.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 (.f32 u1 (.f32 u1 u1))))
(* -1 (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 (.f32 u1 (.f32 u1 u1))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -2/3 binary32) #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -2/3 binary32)) #s(literal 1/2 binary32)) u1)
(* -2 (log (/ 1 u1)))
(neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1))) (.f32 (log.f32 u1) #s(literal -2 binary32)))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) u1) u1)))
(* -2 (log (/ -1 u1)))
(*.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(fma.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(fma.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(fma.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32) (neg.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) u1)) u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* -1 u1)))
(.f32 u1 (.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 11/12 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -5/6 binary32) #s(literal 11/12 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow (log (/ 1 u1)) 2)
(pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))
(+ (* -2 (/ (log (/ 1 u1)) u1)) (pow (log (/ 1 u1)) 2))
(fma.f32 (neg.f32 (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32)))
(+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))
(+.f32 (-.f32 (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32)) (/.f32 (log.f32 u1) (.f32 u1 u1))) (fma.f32 (neg.f32 (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(- (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (* -2/3 (/ (log (/ 1 u1)) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))) (/ 1 (pow u1 3)))
(+.f32 (+.f32 (-.f32 (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32)) (/.f32 (log.f32 u1) (.f32 u1 u1))) (fma.f32 #s(literal -2/3 binary32) (/.f32 (neg.f32 (log.f32 u1)) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (fma.f32 (neg.f32 (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1) (/.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))
(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)
(pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 2 binary32))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) u1) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 2 binary32)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (neg.f32 u1)))) (neg.f32 u1))) u1))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (-.f32 #s(literal 1 binary32) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (fma.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal -2/3 binary32) #s(literal 1 binary32)) u1)) (neg.f32 u1))) u1))

rewrite338.0ms (2.7%)

Memory

61.9MiB live, 329.2MiB allocated

Rules

3 752×	`lower-fma.f64`
3 744×	`lower-fma.f32`
3 308×	`lower-*.f64`
3 290×	`lower-*.f32`
2 910×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	247
0	91	199
1	300	195
2	1842	176
0	8638	174

Stop Event

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

Counts

25 → 689

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

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

eval242.0ms (1.9%)

Memory: -27.4MiB live, 264.9MiB allocated
Compiler: Compiled 36 754 to 3 855 computations (89.5% saved)

prune325.0ms (2.6%)

Memory

-23.4MiB live, 469.5MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1 236	24	1 260
Fresh	9	7	16
Picked	3	2	5
Done	0	1	1
Total	1 248	34	1 282

Accuracy

100.0%

Counts

1 282 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))))
	75.8%	(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))))
	92.1%	(.f32 (pow.f32 (pow.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 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.5%	(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 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)))) (.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 (+.f32 #s(literal 0 binary32) (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)))) (.f32 #s(literal 0 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)))
	75.6%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))) u2)))
	75.6%	(.f32 (/.f32 #s(approx (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (fma.f32 (.f32 u1 u1) #s(literal -1/2 binary32) u1)) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.7%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1))))
	89.3%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.4%	(.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)))
	52.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	90.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.1%	(.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)))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	55.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) #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)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	94.3%	(.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)))
	92.7%	(.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)))
✓	92.9%	(.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)))
	89.7%	(.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)))
	92.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.7%	(.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)))
	89.8%	(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (* u1 u1)) 1) 1)) (log (+ 1 (+ (* u1 u1) u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	19.1%	(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (* u1 u1)) 1) 1)) (log (+ 1 (+ (* u1 u1) u1))))) (neg.f32 (log.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.4%	(.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)))
	93.0%	(.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)))
	90.4%	(.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)))
	78.0%	(.f32 #s(approx (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	70.5%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (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) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))))
▶	64.6%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
	80.8%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (* u1 u1)) 1) 1)) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1))))) (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 u2 u2)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1)))))))
	89.8%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (* u1 u1)) 1) 1)) (log (+ 1 (+ (* u1 u1) 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))))
	72.4%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (* u1 u1)) 1) 1)) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1))))))

Compiler

Compiled 1 765 to 1 110 computations (37.1% saved)

simplify267.0ms (2.1%)

Memory

41.9MiB live, 277.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.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)))
cost-diff	32	(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
cost-diff	64	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff	64	(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))
cost-diff	0	(*.f32 (PI.f32) u2)
cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
cost-diff	0	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
cost-diff	544	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))))
cost-diff	0	#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))))
cost-diff	0	(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)))))
cost-diff	0	(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))))))
cost-diff	0	(.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)))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(sqrt.f32 (log1p.f32 u1))
cost-diff	0	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (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

10 354×	`lower-fma.f64`
10 348×	`lower-fma.f32`
2 078×	`lower-+.f64`
2 076×	`lower-+.f32`
1 992×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	361
0	104	373
1	180	329
2	327	326
3	556	326
4	914	326
5	1500	326
6	2698	326
7	4432	326
8	5312	326
9	5736	326
10	5956	326
11	6262	326
12	7386	326
13	7960	326
0	8081	320

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

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

localize268.0ms (2.1%)

Memory

23.0MiB live, 525.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.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)))
accuracy	0.2734375	(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
accuracy	0.33203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	22.39446476596153	(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
accuracy	0.11328125	(sqrt.f32 (log1p.f32 u1))
accuracy	0.26171875	(/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))
accuracy	0.32650375976844204	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))))
accuracy	0.33203125	(*.f32 (PI.f32) u2)
accuracy	0.23046875	(fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32))
accuracy	0.2734375	(*.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)))
accuracy	0.33203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	1.7003170959734217	#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))))
accuracy	0.02734375	(log1p.f32 u1)
accuracy	0.11328125	(sqrt.f32 (log1p.f32 u1))
accuracy	6.036031684615721	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
accuracy	0.1171875	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy	0.14453125	(.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	0.33203125	(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
accuracy	1.0	(log.f32 (E.f32))

Samples

119.0ms	209×	0	valid
61.0ms	47×	1	valid

Compiler

Compiled 350 to 59 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-log: 47.0ms (30.4% of total)

ival-mult: 30.0ms (19.4% of total)

ival-neg: 28.0ms (18.1% of total)

ival-sqrt: 9.0ms (5.8% of total)

ival-cos: 8.0ms (5.2% of total)

ival-div: 5.0ms (3.2% of total)

const: 5.0ms (3.2% of total)

ival-add: 5.0ms (3.2% of total)

ival-log1p: 5.0ms (3.2% of total)

adjust: 3.0ms (1.9% of total)

ival-pow2: 3.0ms (1.9% of total)

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

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

ival-pi: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series78.0ms (0.6%)

Memory

-32.7MiB live, 156.0MiB allocated

Counts

25 → 336

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

Calls

84 calls:

Time	Variable		Point	Expression
22.0ms	u2	@	0	(* (* 2 (* (PI) (log (E)))) u2)
16.0ms	u2	@	inf	(* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
5.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))
3.0ms	u2	@	0	(* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	inf	(/ 1 (sqrt (log (+ 1 u1))))

simplify315.0ms (2.5%)

Memory

21.2MiB live, 457.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 148×	`lower-fma.f64`
9 148×	`lower-fma.f32`
6 784×	`lower-*.f64`
6 784×	`lower-*.f32`
3 762×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	889	8275
1	2745	6992
0	8628	6613

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 333

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

Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(.f32 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (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 -1/4 binary32) (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 (sqrt.f32 u1) #s(literal -1 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 (.f32 (sqrt.f32 u1) #s(literal -1 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)))))))) (* 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 #s(literal -1/6 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 (sqrt.f32 u1) (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (.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 (.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (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 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(+ (* -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 (sqrt.f32 #s(literal -1 binary32)) (.f32 (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 (.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)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (.f32 u1 u1))) (.f32 (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(+ (* -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 (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 (.f32 (+.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 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (.f32 u1 (.f32 u1 u1))) (/.f32 (.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)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (.f32 u1 u1))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (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)))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (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 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (.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 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (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 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (/.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 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) u1)))) 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)))))
(fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (/.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 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (.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)) (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 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (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 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (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 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (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 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(neg.f32 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* -1 (* u1 (+ 1/4 (* 1/3 (/ 1 u1)))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* -1/4 u1)
(*.f32 u1 #s(literal -1/4 binary32))
(* -1 (* u1 (+ 1/4 (* 1/3 (/ 1 u1)))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* -1 (* u1 (+ 1/4 (* 1/3 (/ 1 u1)))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(* -1 (* u1 (+ 1/4 (* 1/3 (/ 1 u1)))))
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/ (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))) u1)
(/.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/24 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) u1)
(/.f32 (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 -1/24 binary32))) (sqrt.f32 u1)) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/24 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/24 (* 1/16 (/ 1 u1)))))))))) u1)
(/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/24 binary32) (.f32 (+.f32 #s(literal 1/24 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1)) u1)
(* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))))
(+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (pow (log (/ 1 u1)) 3))))) (* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1))))))
(+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (pow (log (/ 1 u1)) 3))))) (+ (* 1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ 1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ 1 u1)) 3)))) (* (pow u1 2) (sqrt -1))) (sqrt (log (/ 1 u1))))) (* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))) (fma.f32 (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))))) (/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) #s(literal 1/2 binary32)) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))))))
(+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (pow (log (/ 1 u1)) 3))))) (+ (* 1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ 1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ 1 u1)) 3)))) (* (pow u1 2) (sqrt -1))) (sqrt (log (/ 1 u1))))) (+ (* 1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (/ 1 (pow (log (/ 1 u1)) 3))) (log (/ 1 u1)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ 1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ 1 u1)) 3)))) (* (log (/ 1 u1)) (pow (sqrt -1) 2)))) (* 1/3 (/ 1 (pow (log (/ 1 u1)) 2)))))) (* (pow u1 3) (sqrt -1))) (sqrt (log (/ 1 u1))))) (* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1)))))
(fma.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))))) (/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (log.f32 u1)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))))) (/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (log.f32 u1)) (/.f32 #s(literal 1/3 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))))))) (.f32 u1 (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.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)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))
(+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1/2 (* (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) u1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1)))
(-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (/.f32 #s(literal 1/2 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 3/4 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32))))) u1) (.f32 #s(literal 1/2 binary32) (sqrt.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)))))) u1))
(+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))) (+ (log -1) (* -1 (log (/ -1 u1)))))) (* 1/2 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))))) u1)) (* 1/2 (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1)))
(-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.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)))) (/.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/3 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 1/2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 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 3/4 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.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))) (/.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))) u1) (.f32 (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal -1/2 binary32)) (.f32 (+.f32 (/.f32 #s(literal 1/2 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 3/4 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal 1/2 binary32)))) (neg.f32 u1))) 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 (log.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) (*.f32 u1 u1))) (/.f32 #s(literal -1 binary32) 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 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1)))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(-.f32 (neg.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 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))

rewrite260.0ms (2.1%)

Memory

-1.6MiB live, 463.9MiB allocated

Rules

3 254×	`lower-*.f64`
3 236×	`lower-*.f32`
3 206×	`lower-/.f64`
3 202×	`lower-/.f32`
3 112×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	245
0	104	215
1	343	204
2	1978	186
0	8483	184

Stop Event

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

Counts

25 → 864

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

eval154.0ms (1.2%)

Memory: -1.8MiB live, 294.1MiB allocated
Compiler: Compiled 39 874 to 4 245 computations (89.4% saved)

prune312.0ms (2.5%)

Memory

20.7MiB live, 535.5MiB allocated

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	1 498	25	1 523
Fresh	13	13	26
Picked	2	3	5
Done	0	3	3
Total	1 513	44	1 557

Accuracy

100.0%

Counts

1 557 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.7%	(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))))
	77.8%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1))))
	75.7%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (/.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) u1)))
▶	77.8%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
	75.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))))))
	75.8%	(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))))
	75.6%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))) u2)))
	94.1%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) #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))))) (-.f32 #s(literal 0 binary32) (.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)))) #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)))
	89.3%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.4%	(.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)))
	52.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	90.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (neg (+ -1 ( u1 u1)))) (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	99.1%	(.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)))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	55.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (neg (+ -1 ( u1 u1)))) (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)))
	94.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 u1)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 u1))) (.f32 u1 u1)) (-.f32 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 u1)) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) 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)))
	94.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (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)) (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 u1)) #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 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 u1)) (neg.f32 u1)) (-.f32 (.f32 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 u1)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 u1))) (.f32 u1 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	94.3%	(.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)))
	92.7%	(.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)))
✓	92.9%	(.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)))
	94.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 (+ (* u1 -1/4) -1/3)) -1/2)) -1)) (.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.7%	(.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)))
	89.8%	(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (* u1 u1)) 1) 1)) (log (+ 1 (+ (* u1 u1) u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	94.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 u1)))) (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)))
	93.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 u1)))) (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)))
	90.4%	(.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)))
	78.0%	(.f32 #s(approx (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	70.5%	#s(approx (/ (cos (* 2 (* (PI) u2))) (/ 1 (sqrt (log (+ 1 u1))))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (log1p.f32 u1))))
▶	76.0%	#s(approx (/ (cos (* 2 (* (PI) u2))) (/ 1 (sqrt (log (+ 1 u1))))) (fma.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.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)))))))
	36.7%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))
	64.5%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))))
	16.2%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 u1)))))
	64.5%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))))
▶	66.1%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
	89.8%	#s(approx (* (sqrt (neg (- (log (* (+ (* u1 (* u1 u1)) 1) 1)) (log (+ 1 (+ (* u1 u1) 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))))
	91.5%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1)))))))
▶	80.8%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))

Compiler

Compiled 2 246 to 1 385 computations (38.3% saved)

simplify200.0ms (1.6%)

Memory

11.3MiB live, 260.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (/ (cos (* 2 (* (PI) u2))) (/ 1 (sqrt (log (+ 1 u1))))) (fma.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.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)))))))
cost-diff	3680	(fma.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.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))))))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
cost-diff	0	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
cost-diff	0	(*.f32 (PI.f32) u2)
cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
cost-diff	0	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
cost-diff	0	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1))
cost-diff	0	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
cost-diff	0	(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)
cost-diff	0	#s(approx (neg (- (log (neg (+ -1 (* u1 u1)))) (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))
cost-diff	0	(sqrt.f32 #s(approx (neg (- (log (neg (+ -1 (* u1 u1)))) (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)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 u1)))) (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)))

Rules

8 216×	`lower-fma.f64`
8 206×	`lower-fma.f32`
3 194×	`lower-*.f64`
3 174×	`lower-*.f32`
2 188×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	434
0	111	425
1	200	416
2	390	404
3	815	404
4	1409	404
5	1805	404
6	2313	404
7	3596	404
8	6960	404
0	8256	402

Stop Event

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

Calls

Call 1

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

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

localize236.0ms (1.9%)

Memory

-8.8MiB live, 174.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.33203125	(*.f32 u2 (PI.f32))
accuracy	0.3515625	(*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))
accuracy	0.4030075195368841	(.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)))))
accuracy	2.533552145328597	#s(approx (/ (cos (* 2 (* (PI) u2))) (/ 1 (sqrt (log (+ 1 u1))))) (fma.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.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)))))))
accuracy	0.10546875	(log1p.f32 (neg.f32 (*.f32 u1 u1)))
accuracy	0.1171875	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
accuracy	0.2734375	(-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
accuracy	6.041452627179327	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
accuracy	0.1640625	(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
accuracy	0.32650375976844204	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
accuracy	0.33203125	(*.f32 (PI.f32) u2)
accuracy	6.869463705521415	#s(approx (/ 1 (sqrt (log (+ 1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
accuracy	0	(sqrt.f32 u1)
accuracy	6.036031684615721	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
accuracy	6.933692907398135	#s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1))
accuracy	0.14453125	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 u1)))) (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)))
accuracy	0.23046875	(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
accuracy	0.33203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	1.7003170959734217	#s(approx (neg (- (log (neg (+ -1 (* u1 u1)))) (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))

Samples

118.0ms

256×

valid

Compiler

Compiled 379 to 61 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 23.0ms (23.4% of total)

ival-pi: 20.0ms (20.3% of total)

ival-sqrt: 9.0ms (9.1% of total)

ival-cos: 8.0ms (8.1% of total)

ival-add: 7.0ms (7.1% of total)

const: 7.0ms (7.1% of total)

ival-div: 6.0ms (6.1% of total)

ival-log: 5.0ms (5.1% of total)

ival-neg: 5.0ms (5.1% of total)

ival-log1p: 4.0ms (4.1% of total)

ival-sub: 2.0ms (2% of total)

ival-pow2: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series40.0ms (0.3%)

Memory

-0.9MiB live, 43.3MiB allocated

Counts

26 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

simplify445.0ms (3.5%)

Memory

9.7MiB live, 342.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 050×	`lower-fma.f64`
12 050×	`lower-fma.f32`
8 756×	`lower-*.f64`
8 756×	`lower-*.f32`
3 784×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	703	9748
1	2181	8410
2	7357	8401
0	8536	7900

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 392

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

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

rewrite356.0ms (2.8%)

Memory

18.3MiB live, 389.1MiB allocated

Rules

4 824×	`lower-fma.f64`
4 814×	`lower-fma.f32`
4 464×	`lower-*.f64`
4 444×	`lower-*.f32`
3 718×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	340
0	111	330
1	405	292
2	2494	289
0	9302	278

Stop Event

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

Counts

26 → 549

Calls

Call 1

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

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

eval180.0ms (1.4%)

Memory: -8.9MiB live, 221.5MiB allocated
Compiler: Compiled 35 687 to 2 901 computations (91.9% saved)

prune292.0ms (2.3%)

Memory

-20.4MiB live, 377.1MiB allocated

Pruning

52 alts after pruning (44 fresh and 8 done)

	Pruned	Kept	Total
New	1 061	29	1 090
Fresh	18	15	33
Picked	2	3	5
Done	1	5	6
Total	1 082	52	1 134

Accuracy

100.0%

Counts

1 134 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.8%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1))))
	75.7%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (/.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) u1)))
	77.6%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))
✓	77.8%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
	76.6%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (exp.f32 (*.f32 (log.f32 u1) #s(literal -1/2 binary32)))))
	70.7%	(/.f32 #s(approx (cos (* 2 (* (PI) u2))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
	66.0%	(/.f32 #s(approx (cos (* 2 (* (PI) u2))) #s(literal 1 binary32)) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
	77.8%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	77.8%	(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
	89.3%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	90.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (neg (+ -1 ( u1 u1)))) (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	99.1%	(.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)))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	55.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (neg (+ -1 ( u1 u1)))) (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)))
	94.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 u1)) (neg.f32 u1)) (-.f32 (.f32 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 u1)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) (.f32 u1 u1))) (.f32 u1 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	94.3%	(.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)))
	92.7%	(.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)))
	92.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.7%	(.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)))
	89.8%	(.f32 (sqrt.f32 #s(approx (neg (- (log ( (+ (* u1 (* u1 u1)) 1) 1)) (log (+ 1 (+ (* u1 u1) u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	94.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 u1)))) (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)))
	93.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 u1)))) (log (+ 1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(approx (+ ( u1 1/4) 1/3) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.3%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 u1)))) (log (+ 1 u1)))) (/.f32 (fma.f32 (.f32 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) #s(literal -1/4 binary32)) (.f32 u1 u1)) #s(literal 1 binary32) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)) (.f32 (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)))
	94.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (neg (+ -1 ( u1 u1)))) (log (+ 1 u1)))) (/.f32 (-.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (.f32 u1 u1) (.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)))))) (-.f32 u1 (.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))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.4%	(.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)))
	78.0%	(.f32 #s(approx (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 #s(approx (sqrt (neg (- (log (neg (+ -1 ( u1 u1)))) (log (+ 1 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))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.8%	(.f32 #s(approx (sqrt (neg (- (log (neg (+ -1 ( u1 u1)))) (log (+ 1 u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	69.2%	#s(approx (/ (cos (* 2 (* (PI) u2))) (/ 1 (sqrt (log (+ 1 u1))))) #s(approx (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* -1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6))))) (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))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (fma.f32 (sqrt.f32 u1) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.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)))))
	91.5%	#s(approx (/ (cos (* 2 (* (PI) u2))) (/ 1 (sqrt (log (+ 1 u1))))) #s(approx (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (* u1 u1) (* (cos (* 2 (* u2 (PI)))) (+ (* -1/4 (sqrt (/ 1 u1))) (* (sqrt u1) 1/6))))) (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (-.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/6 binary32)) (/.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))) #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))))) u1))))))
	36.7%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))))
	64.5%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) u1))))
	64.5%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32) (sqrt.f32 u1))))
	66.0%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
✓	66.1%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
	77.8%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (neg (* u1 u1)))) (.f32 (.f32 (fma.f32 u1 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)) u1) u1)))))
	79.2%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (neg (* u1 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)))))))
	76.0%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (neg (* u1 u1)))) (neg.f32 (*.f32 u1 u1))))))
	77.7%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (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 (neg.f32 (.f32 u1 u1))))))
	74.5%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) u1)) (log1p.f32 (neg.f32 (.f32 u1 u1))))))
	48.9%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))))
	81.0%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
	46.7%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
	77.5%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))))
	76.5%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))))
	74.2%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
	77.4%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))))
	75.8%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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))) (sqrt.f32 u1))))
	74.2%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1)))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))))

Compiler

Compiled 3 461 to 1 228 computations (64.5% saved)

regimes603.0ms (4.8%)

Memory

50.1MiB live, 643.7MiB allocated

Counts

100 → 1

Calls

Call 1

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

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:

245.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
71.0ms	u1
68.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
46.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
38.0ms	u2

Results

Accuracy	Segments	Branch
99.3%	1	`cosTheta_i`
99.3%	1	`u1`
99.3%	1	`u2`
99.3%	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)))`
99.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.3%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.3%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.3%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes220.0ms (1.8%)

Memory

0.1MiB live, 377.1MiB allocated

Counts

59 → 2

Calls

Call 1

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

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)))

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

Calls

10 calls:

49.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
40.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
19.0ms	cosTheta_i
18.0ms	u2
18.0ms	u1

Results

Accuracy	Segments	Branch
94.4%	1	`cosTheta_i`
94.4%	1	`u1`
97.6%	2	`u2`
97.7%	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)))`
94.4%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.4%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.4%	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)

regimes118.0ms (0.9%)

Memory

20.9MiB live, 217.4MiB allocated

Counts

36 → 2

Calls

Call 1

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

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

Calls

10 calls:

19.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
18.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
10.0ms	u2

Results

Accuracy	Segments	Branch
96.9%	2	`u1`
96.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.9%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.0%	1	`cosTheta_i`
96.9%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.9%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.1%	2	`u2`
97.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
97.3%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes113.0ms (0.9%)

Memory

-4.7MiB live, 141.3MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

(*.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)))

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

Calls

9 calls:

45.0ms	u2
12.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
9.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
95.0%	2	`u1`
95.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
96.0%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.0%	2	`u2`
96.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
96.2%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes81.0ms (0.6%)

Memory

-29.8MiB live, 160.7MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

12.0ms	u2
10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
9.0ms	u1
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
89.3%	2	`u1`
89.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
89.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
89.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
89.3%	2	`(-.f32 #s(literal 1 binary32) u1)`
91.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
91.9%	2	`u2`
91.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
81.0%	1	`cosTheta_i`
91.2%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes54.0ms (0.4%)

Memory

40.3MiB live, 131.5MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
81.0%	1	`u1`
81.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
81.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
81.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
81.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
84.8%	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)))`
84.8%	2	`u2`
84.8%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
84.8%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes52.0ms (0.4%)

Memory

-17.2MiB live, 131.3MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

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

Results

Accuracy	Segments	Branch
77.5%	1	`cosTheta_i`
77.5%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
77.5%	1	`(-.f32 #s(literal 1 binary32) u1)`
77.5%	1	`u1`
77.5%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
77.5%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
81.3%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
81.4%	2	`u2`
81.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
81.4%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes71.0ms (0.6%)

Memory

-11.9MiB live, 86.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

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

7 calls:

48.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
4.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	u2
3.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.0ms	u1

Results

Accuracy	Segments	Branch
77.5%	1	`u1`
77.5%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
77.5%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
77.5%	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)))`
77.5%	1	`u2`
77.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
77.5%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 58 to 50 computations (13.8% saved)

regimes41.0ms (0.3%)

Memory

17.2MiB live, 64.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

18.0ms	cosTheta_i
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms	u2
3.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes41.0ms (0.3%)

Memory

-11.5MiB live, 35.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

10 calls:

24.0ms	(-.f32 #s(literal 1 binary32) u1)
2.0ms	u1
2.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
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)))

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes21.0ms (0.2%)

Memory

-18.8MiB live, 27.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

9.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
1.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
1.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms	(-.f32 #s(literal 1 binary32) u1)
1.0ms	u2

Results

Accuracy	Segments	Branch
66.1%	1	`u2`
66.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
66.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
66.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
66.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
66.1%	1	`cosTheta_i`
66.1%	1	`u1`
66.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
66.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
66.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.14678509533405304	0.1513625979423523

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.14678509533405304	0.1513625979423523

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.051576290279626846	0.05358990654349327

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	0.9999746084213257	0.9999749660491943

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	0.9999746084213257	0.9999749660491943

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	0.9999746084213257	0.9999749660491943

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify11.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary32`
8×	`sub-neg_binary32`
8×	`+-commutative_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	590
1	131	590
2	138	590
3	141	590

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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5033165/33554432 binary32)) (.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))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5033165/33554432 binary32)) (.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))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3489661/67108864 binary32)) (.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))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776793/16777216 binary32)) (.f32 #s(approx (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776793/16777216 binary32)) (/.f32 #s(approx (cos (* 2 (* (PI) u2))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776793/16777216 binary32)) (/.f32 #s(approx (cos (* 2 (* (PI) u2))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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 (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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 (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5033165/33554432 binary32)) (.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))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 5033165/33554432 binary32)) (.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)))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5033165/33554432 binary32)) (.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))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 5033165/33554432 binary32)) (.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)))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3489661/67108864 binary32)) (.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))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3489661/67108864 binary32)) (.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)))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776793/16777216 binary32)) (.f32 #s(approx (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776793/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt.f32 u1))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776793/16777216 binary32)) (/.f32 #s(approx (cos (* 2 (* (PI) u2))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16776793/16777216 binary32)) (/.f32 #s(approx (cos (* 2 (* (PI) u2))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))) #s(approx (/ 1 (sqrt (log (+ 1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(approx ( (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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 (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 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 (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))))
#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (neg (* u1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))

soundness1.6s (12.8%)

Memory

5.0MiB live, 958.2MiB allocated

Rules

12 050×	`lower-fma.f64`
12 050×	`lower-fma.f32`
9 270×	`lower-fma.f64`
9 270×	`lower-fma.f32`
9 148×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	340
0	111	330
1	405	292
2	2494	289
0	9302	278
0	889	8275
1	2745	6992
0	8628	6613
0	289	1737
1	858	1458
2	2728	1335
3	6882	1298
0	8134	1246
0	49	247
0	91	199
1	300	195
2	1842	176
0	8638	174
0	703	9748
1	2181	8410
2	7357	8401
0	8536	7900
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23
0	759	8650
1	2355	7332
2	7396	7243
0	8020	6818

Stop Event

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

Compiler

Compiled 675 to 363 computations (46.2% saved)

preprocess82.0ms (0.7%)

Memory

-21.4MiB live, 127.4MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 638 to 202 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze444.0ms (3.5%)

sample2.9s (22.9%)

explain166.0ms (1.3%)

preprocess48.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize40.0ms (0.3%)

series46.0ms (0.4%)

simplify300.0ms (2.4%)

rewrite206.0ms (1.6%)

eval66.0ms (0.5%)

prune78.0ms (0.6%)

simplify128.0ms (1%)

localize202.0ms (1.6%)

series107.0ms (0.9%)

simplify398.0ms (3.2%)

rewrite338.0ms (2.7%)

eval242.0ms (1.9%)

prune325.0ms (2.6%)

simplify267.0ms (2.1%)

localize268.0ms (2.1%)

series78.0ms (0.6%)

simplify315.0ms (2.5%)

rewrite260.0ms (2.1%)

eval154.0ms (1.2%)

prune312.0ms (2.5%)

simplify200.0ms (1.6%)

localize236.0ms (1.9%)

series40.0ms (0.3%)

simplify445.0ms (3.5%)

rewrite356.0ms (2.8%)

eval180.0ms (1.4%)

prune292.0ms (2.3%)

regimes603.0ms (4.8%)

regimes220.0ms (1.8%)

regimes118.0ms (0.9%)

regimes113.0ms (0.9%)

regimes81.0ms (0.6%)

regimes54.0ms (0.4%)

regimes52.0ms (0.4%)

regimes71.0ms (0.6%)

regimes41.0ms (0.3%)

regimes41.0ms (0.3%)

regimes21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.6s (12.8%)

preprocess82.0ms (0.7%)

end0.0ms (0%)

Profiling