Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze450.0ms (3.6%)

Memory

33.4MiB live, 425.4MiB 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)

sample2.0s (15.7%)

Memory

44.5MiB live, 2 436.6MiB allocated

Samples

1.4s	8 256×	0	valid
1.0ms	5×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

const: 239.0ms (20.7% of total)

ival-<=: 211.0ms (18.3% of total)

ival-mult: 151.0ms (13.1% of total)

ival-log: 137.0ms (11.9% of total)

ival-cos: 118.0ms (10.2% of total)

ival-neg: 67.0ms (5.8% of total)

ival-sqrt: 56.0ms (4.8% of total)

ival-pi: 55.0ms (4.8% of total)

ival-sub: 44.0ms (3.8% of total)

ival->: 37.0ms (3.2% of total)

ival-and: 30.0ms (2.6% of total)

exact: 8.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain201.0ms (1.6%)

Memory

-7.8MiB live, 190.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
202	4	(0.9999871253967285 0.0024134551640599966 0.0033852087799459696)	6	(0.9999027252197266 0.01857885718345642 1.3376483032345732e-8)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	0	-	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	200	17
`cos.f32`	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	188	0
-	12	56

Precision

0.94

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	188	0	0
-	12	17	39

Precision?

0.8663594470046083

Recall?

1.0

Freqs

test

number	freq
0	56
1	199
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms

512×

valid

Compiler

Compiled 120 to 46 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-cos: 29.0ms (52.4% of total)

ival-mult: 8.0ms (14.5% of total)

ival-log: 8.0ms (14.5% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

preprocess59.0ms (0.5%)

Memory

-46.2MiB live, 45.5MiB 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 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify6.0ms (0%)

Memory

11.5MiB live, 11.5MiB 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 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize82.0ms (0.7%)

Memory

12.3MiB live, 82.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.14074187792047724	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.17578125	(.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	0.28515625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	13.862648457441328	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

74.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-cos: 29.0ms (67.1% of total)

ival-mult: 5.0ms (11.6% of total)

ival-log: 4.0ms (9.3% of total)

ival-sqrt: 2.0ms (4.6% of total)

ival-pi: 1.0ms (2.3% of total)

ival-sub: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series238.0ms (1.9%)

Memory

-34.2MiB live, 91.3MiB allocated

Counts

6 → 84

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
56.0ms	u2	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
16.0ms	u1	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
7.0ms	u2	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms	u2	@	0	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))

simplify213.0ms (1.7%)

Memory

37.4MiB live, 229.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 722×	`lower-fma.f64`
9 722×	`lower-fma.f32`
5 844×	`lower-*.f64`
5 844×	`lower-*.f32`
3 726×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1849
1	911	1570
2	2914	1447
3	7134	1410
0	8388	1352

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

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

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

rewrite198.0ms (1.6%)

Memory

0.4MiB live, 250.0MiB 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	39
0	22	39
1	65	39
2	320	39
3	2355	37
0	8649	29

Stop Event

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

Counts

6 → 242

Calls

Call 1

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

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

eval35.0ms (0.3%)

Memory: -2.2MiB live, 70.5MiB allocated
Compiler: Compiled 7 659 to 1 411 computations (81.6% saved)

prune72.0ms (0.6%)

Memory

-29.2MiB live, 131.5MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	305	20	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	306	20	326

Accuracy

99.6%

Counts

326 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.6%	(.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)))
	73.5%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	84.3%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 (.f32 u1 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 (neg.f32 u1) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.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 (neg.f32 u1) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	84.2%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 (.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	78.3%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (.f32 u1 u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	56.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
▶	54.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	51.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.8%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.2%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.6%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	3.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 900 to 642 computations (28.7% saved)

simplify369.0ms (3%)

Memory

42.5MiB live, 316.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

22 492×	`lower-fma.f64`
22 482×	`lower-fma.f32`
3 276×	`lower-+.f64`
3 274×	`lower-+.f32`
3 178×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	531
0	100	519
1	172	512
2	333	512
3	740	512
4	1409	512
5	3183	512
6	4340	512
7	5058	512
8	5522	512
9	6199	512
10	6743	512
11	6972	512
12	6980	512
13	7118	512
14	7178	512
15	7429	512
16	7632	512
17	7660	512
18	7662	512
19	7662	512
0	8649	506

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (1.3%)

Memory

-40.5MiB live, 403.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.359375	(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
accuracy	0.819981100067167	(PI.f32)
accuracy	21.372086269434106	(log.f32 (/.f32 (fma.f32 (.f32 u1 u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
accuracy	0.97265625	(*.f32 (PI.f32) (PI.f32))
accuracy	1.5416236823420566	(pow.f32 (PI.f32) #s(literal 4 binary32))
accuracy	2.481925786006808	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)))
accuracy	13.862648457441328	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.819981100067167	(PI.f32)
accuracy	0.97265625	(*.f32 (PI.f32) (PI.f32))
accuracy	3.574525902928964	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	13.862648457441328	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.125	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.17578125	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	6.442845815866974	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	13.862648457441328	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.14074187792047724	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.17578125	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.28125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.819981100067167	(PI.f32)

Samples

76.0ms	200×	0	valid
39.0ms	49×	1	valid
3.0ms	7×	0	invalid

Compiler

Compiled 519 to 51 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 26.0ms (27.8% of total)

ival-neg: 14.0ms (15% of total)

adjust: 10.0ms (10.7% of total)

ival-log: 9.0ms (9.6% of total)

ival-add: 8.0ms (8.6% of total)

ival-sqrt: 5.0ms (5.3% of total)

ival-log1p: 5.0ms (5.3% of total)

const: 4.0ms (4.3% of total)

ival-sub: 3.0ms (3.2% of total)

ival-cos: 3.0ms (3.2% of total)

ival-pow: 3.0ms (3.2% of total)

ival-div: 2.0ms (2.1% of total)

ival-pi: 2.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series144.0ms (1.2%)

Memory

16.9MiB live, 248.1MiB allocated

Counts

24 → 312

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

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

6 calls:

Time	Variable		Point	Expression
67.0ms	u2	@	inf	((* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (PI) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (cos (* (* 2 (PI)) u2)) (pow (PI) 4) (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))
39.0ms	u2	@	-inf	((* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (PI) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (cos (* (* 2 (PI)) u2)) (pow (PI) 4) (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))
10.0ms	u2	@	0	((* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (PI) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (cos (* (* 2 (PI)) u2)) (pow (PI) 4) (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))
4.0ms	u1	@	-inf	((* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (PI) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (cos (* (* 2 (PI)) u2)) (pow (PI) 4) (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))
4.0ms	u1	@	inf	((* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (PI) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (cos (* (* 2 (PI)) u2)) (pow (PI) 4) (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))

simplify189.0ms (1.5%)

Memory

17.6MiB live, 302.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 054×	`lower-fma.f64`
11 054×	`lower-fma.f32`
7 118×	`lower-*.f64`
7 118×	`lower-*.f32`
5 196×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	581	8418
1	1785	7042
2	5700	6951
0	8623	6571

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 309

Calls

Call 1

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

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

rewrite201.0ms (1.6%)

Memory

2.6MiB live, 280.5MiB allocated

Rules

5 296×	`lower-fma.f64`
5 286×	`lower-fma.f32`
3 838×	`lower-*.f64`
3 810×	`lower-*.f32`
2 938×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	324
0	100	219
1	318	219
2	2234	217
0	9615	198

Stop Event

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

Counts

24 → 652

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

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

eval289.0ms (2.3%)

Memory: 12.1MiB live, 394.4MiB allocated
Compiler: Compiled 65 530 to 4 601 computations (93% saved)

prune276.0ms (2.2%)

Memory

-32.6MiB live, 580.1MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1 555	27	1 582
Fresh	6	9	15
Picked	2	3	5
Done	0	0	0
Total	1 563	39	1 602

Accuracy

99.8%

Counts

1 602 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.6%	(.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)))
	73.5%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.3%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 (neg.f32 u1) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.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 (neg.f32 u1) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	84.2%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 (.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	88.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	78.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (.f32 u1 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) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	70.3%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (.f32 u1 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)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	83.8%	(.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (.f32 (.f32 (fma.f32 #s(literal 3 binary32) u1 #s(literal 1 binary32)) u1) u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	84.6%	(.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	56.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u2 u2) #s(literal 1 binary32))))
✓	54.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	51.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	70.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
	68.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	63.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	73.8%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	84.0%	(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.2%	(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	75.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	91.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	81.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	74.2%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	77.8%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	71.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	72.6%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	3.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	3.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Compiler

Compiled 1 706 to 1 169 computations (31.5% saved)

simplify145.0ms (1.2%)

Memory

3.9MiB live, 159.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
cost-diff	0	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
cost-diff	64	(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
cost-diff	0	(*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
cost-diff	0	#s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
cost-diff	0	(sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
cost-diff	0	#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
cost-diff	0	(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
cost-diff	64	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
cost-diff	64	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
cost-diff	4000	(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))

Rules

12 984×	`lower-fma.f64`
12 974×	`lower-fma.f32`
2 976×	`lower-*.f64`
2 944×	`lower-*.f32`
2 598×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	573
0	123	595
1	219	581
2	448	570
3	1056	534
4	2281	526
5	5351	526
6	7496	526
0	8120	512

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)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(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
(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
#s(literal 1/2 binary32)
(.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
u2
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
u1
#s(literal 1/2 binary32)
#s(literal 1 binary32)
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 u2 u2) #s(literal -2 binary32))
(*.f32 u2 u2)
u2
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal -5/3 binary32)
u1
#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 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
u1
(log1p.f32 u1)
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 u2 u2) #s(literal -2 binary32))
(*.f32 u2 u2)
u2
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(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
(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
u2
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI.f32)
#s(literal 2 binary32)
(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 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))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
u1
#s(literal 1/2 binary32)
#s(literal 1 binary32)
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#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)))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))
(.f32 (.f32 u2 u2) #s(literal -2 binary32))
(.f32 #s(literal -2 binary32) (.f32 u2 u2))
(*.f32 u2 u2)
u2
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal -5/3 binary32)
u1
#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 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) #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))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
u1
(log1p.f32 u1)
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#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)))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))
(.f32 (.f32 u2 u2) #s(literal -2 binary32))
(.f32 #s(literal -2 binary32) (.f32 u2 u2))
(*.f32 u2 u2)
u2
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)

localize259.0ms (2.1%)

Memory

5.7MiB live, 328.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.265625	(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
accuracy	0.95703125	(*.f32 (PI.f32) (PI.f32))
accuracy	1.2885417286769767	(PI.f32)
accuracy	3.532710401993954	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	0.2265625	(*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
accuracy	0.27734375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	1.2885417286769767	(PI.f32)
accuracy	1.9617675793335636	#s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
accuracy	0.95703125	(*.f32 (PI.f32) (PI.f32))
accuracy	1.2885417286769767	(PI.f32)
accuracy	1.9415609734549149	#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
accuracy	3.532710401993954	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	0	(neg.f32 (sqrt.f32 u1))
accuracy	0.17578125	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	6.366128385405166	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	29.564523815431443	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.24963629138909577	(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
accuracy	0.27734375	(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
accuracy	1.2885417286769767	(PI.f32)
accuracy	18.49436500860019	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))

Samples

118.0ms	178×	0	valid
56.0ms	67×	1	valid
8.0ms	4×	5	exit
3.0ms	7×	0	invalid

Compiler

Compiled 499 to 70 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-sqrt: 46.0ms (29% of total)

ival-mult: 36.0ms (22.7% of total)

adjust: 13.0ms (8.2% of total)

ival-add: 11.0ms (6.9% of total)

ival-log: 11.0ms (6.9% of total)

ival-log1p: 9.0ms (5.7% of total)

ival-cos: 8.0ms (5% of total)

const: 7.0ms (4.4% of total)

ival-neg: 7.0ms (4.4% of total)

ival-sub: 6.0ms (3.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series151.0ms (1.2%)

Memory

35.0MiB live, 266.6MiB allocated

Counts

26 → 348

Calls

Call 1

Inputs
#s(alt (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))) (patch (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (patch (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (patch (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))) (patch (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (patch (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (patch (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())
#s(alt #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (patch #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1) (patch (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (patch (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())
#s(alt #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (patch #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1) (patch (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())
#s(alt (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))) (patch (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (patch (.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (patch (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #<representation binary32>) () ())
#s(alt (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (patch (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) (patch (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (patch #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) (PI.f32)) (patch (.f32 (PI.f32) (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>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
74.0ms	u2	@	inf	((- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (* (+ (* (+ (* -5/3 u1) 1/2) u1) 1) u1) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (PI) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (* (* 2 (PI)) u2))
43.0ms	u2	@	-inf	((- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (* (+ (* (+ (* -5/3 u1) 1/2) u1) 1) u1) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (PI) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (* (* 2 (PI)) u2))
4.0ms	u1	@	-inf	((- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (* (+ (* (+ (* -5/3 u1) 1/2) u1) 1) u1) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (PI) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (* (* 2 (PI)) u2))
4.0ms	u1	@	inf	((- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (* (+ (* (+ (* -5/3 u1) 1/2) u1) 1) u1) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (PI) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (* (* 2 (PI)) u2))
3.0ms	u2	@	0	((- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (* (+ (* (+ (* -5/3 u1) 1/2) u1) 1) u1) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (PI) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (* (* 2 (PI)) u2))

simplify224.0ms (1.8%)

Memory

-5.6MiB live, 262.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 904×	`lower-fma.f64`
9 904×	`lower-fma.f32`
7 210×	`lower-*.f64`
7 210×	`lower-*.f32`
4 004×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	743	9092
1	2307	7370
2	7596	7350
0	8020	6937

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

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

rewrite286.0ms (2.3%)

Memory

15.3MiB live, 210.5MiB allocated

Rules

5 174×	`lower-*.f64`
5 142×	`lower-*.f32`
4 360×	`lower-fma.f64`
4 350×	`lower-fma.f32`
2 600×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	417
0	123	388
1	439	364
2	3333	251
0	9743	248

Stop Event

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

Counts

26 → 474

Calls

Call 1

Inputs
(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(PI.f32)
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

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

eval192.0ms (1.5%)

Memory: -9.2MiB live, 225.4MiB allocated
Compiler: Compiled 39 273 to 3 395 computations (91.4% saved)

prune348.0ms (2.8%)

Memory

-6.6MiB live, 364.1MiB allocated

Pruning

57 alts after pruning (52 fresh and 5 done)

	Pruned	Kept	Total
New	1 074	35	1 109
Fresh	14	17	31
Picked	3	2	5
Done	0	3	3
Total	1 091	57	1 148

Accuracy

99.9%

Counts

1 148 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.1%	(.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.3%	(.f32 (pow.f32 (.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	64.3%	(.f32 (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	74.3%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	98.7%	(.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 (neg.f32 u1) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (.f32 u1 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) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	84.6%	(.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (fma.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))) (fma.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))))
	89.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 #s(approx (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) u2) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) #s(literal 1 binary32)))
	56.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u2 u2) #s(literal 1 binary32))))
✓	54.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	51.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	70.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
▶	63.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	73.8%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.3%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	77.8%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.0%	(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.8%	(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	87.2%	(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.8%	(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) #s(approx (* (+ (* (+ (* -5/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal 5/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) (.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	81.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal -1 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1) (-.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	93.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	91.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	81.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	74.2%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	71.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	81.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	19.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.9%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.2%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	80.6%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	78.1%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.1%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	3.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	3.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	90.1%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
	87.5%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))))
	75.9%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
	79.5%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))

Compiler

Compiled 2 934 to 1 893 computations (35.5% saved)

simplify215.0ms (1.7%)

Memory

16.3MiB live, 167.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (log1p.f32 (*.f32 u1 u1)))
cost-diff	0	(sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))
cost-diff	0	(.f32 (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
cost-diff	64	(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
cost-diff	0	(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
cost-diff	0	#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
cost-diff	0	(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	#s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (*.f32 u1 u1))))
cost-diff	0	(sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (*.f32 u1 u1)))))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
cost-diff	416	(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1)
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
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)))) (+.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
cost-diff	192	(+.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) #s(literal 1/2 binary32))
cost-diff	3872	(-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))

Rules

22 110×	`lower-fma.f64`
22 102×	`lower-fma.f32`
3 694×	`lower-*.f64`
3 664×	`lower-*.f32`
2 568×	`lower--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	561
0	109	582
1	175	521
2	301	503
3	596	503
4	1521	492
5	4306	492
6	7549	492
0	8165	492

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

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

localize255.0ms (2%)

Memory

-15.9MiB live, 181.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.277223463370954	(+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
accuracy	0.35142047145735733	(PI.f32)
accuracy	0.98828125	(*.f32 (PI.f32) (PI.f32))
accuracy	3.5995844321197406	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	0.2578125	(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
accuracy	0.28125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.35142047145735733	(PI.f32)
accuracy	2.5401669444211836	#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
accuracy	0.98828125	(*.f32 (PI.f32) (PI.f32))
accuracy	2.5401669444211836	#s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (*.f32 u1 u1))))
accuracy	3.5995844321197406	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	26.410921618275633	#s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (*.f32 u1 u1)))
accuracy	0.12890625	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	0.17578125	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	6.557148817022775	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	8.127387621529355	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.23590748993272953	(-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))
accuracy	0.28125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.35142047145735733	(PI.f32)
accuracy	19.095757219022758	(fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))

Samples

98.0ms	208×	0	valid
72.0ms	45×	1	valid
4.0ms	3×	5	exit

Compiler

Compiled 434 to 51 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

adjust: 51.0ms (38% of total)

ival-mult: 43.0ms (32.1% of total)

ival-add: 8.0ms (6% of total)

ival-log1p: 6.0ms (4.5% of total)

ival-sqrt: 5.0ms (3.7% of total)

const: 4.0ms (3% of total)

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

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

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

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

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

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

exact: 1.0ms (0.7% of total)

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

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

series108.0ms (0.9%)

Memory

19.9MiB live, 137.1MiB allocated

Counts

27 → 360

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
38.0ms	u2	@	inf	((- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (+ (- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) 1/2) (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) 1/2)) (sqrt (neg (log (+ 1 (neg u1))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (+ (/ 1/2 u1) 1/3) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1))) (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (neg (log (+ 1 (* u1 u1)))) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2) (PI) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)))
30.0ms	u2	@	-inf	((- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (+ (- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) 1/2) (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) 1/2)) (sqrt (neg (log (+ 1 (neg u1))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (+ (/ 1/2 u1) 1/3) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1))) (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (neg (log (+ 1 (* u1 u1)))) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2) (PI) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)))
6.0ms	u1	@	inf	((- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (+ (- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) 1/2) (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) 1/2)) (sqrt (neg (log (+ 1 (neg u1))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (+ (/ 1/2 u1) 1/3) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1))) (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (neg (log (+ 1 (* u1 u1)))) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2) (PI) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)))
4.0ms	u1	@	-inf	((- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (+ (- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) 1/2) (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) 1/2)) (sqrt (neg (log (+ 1 (neg u1))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (+ (/ 1/2 u1) 1/3) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1))) (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (neg (log (+ 1 (* u1 u1)))) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2) (PI) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)))
3.0ms	u1	@	0	((- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (+ (- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) 1/2) (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (- (* (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) 1/2)) (sqrt (neg (log (+ 1 (neg u1))))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (+ (/ 1/2 u1) 1/3) u1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1))) (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (neg (log (+ 1 (* u1 u1)))) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2) (PI) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)))

simplify206.0ms (1.7%)

Memory

-11.4MiB live, 298.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 600×	`lower-fma.f64`
9 600×	`lower-fma.f32`
7 424×	`lower-*.f64`
7 424×	`lower-*.f32`
3 116×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	696	9576
1	2123	7463
2	6755	7451
0	8004	7039

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 354

Calls

Call 1

Inputs
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* -1/6 (* (sqrt u1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
1/2
(+ 1/2 (* 1/3 u1))
(+ 1/2 (* 1/3 u1))
(+ 1/2 (* 1/3 u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
u1
(* u1 (+ 1 (* -3/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 3/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* 1/4 u1))) 3/2))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -3/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -3/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -3/4 (* (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 (* 9/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* -3/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -3/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -3/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 9/16 (/ 1 u1))))))))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* 1/2 (pow u1 2)) 1))
(* (pow u1 2) (- (* (pow u1 2) (+ 1/2 (* -1/3 (pow u1 2)))) 1))
(* (pow u1 2) (- (* (pow u1 2) (+ 1/2 (* (pow u1 2) (- (* 1/4 (pow u1 2)) 1/3)))) 1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (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))))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (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))))))) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (* 1/2 (cos (* 2 (* u2 (PI))))) (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1)))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))

rewrite584.0ms (4.7%)

Memory

-87.0MiB live, 288.7MiB allocated

Rules

5 070×	`lower-fma.f64`
5 062×	`lower-fma.f32`
4 332×	`lower-*.f64`
4 302×	`lower-*.f32`
3 450×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	395
0	109	385
1	335	346
2	2245	331
0	9018	327

Stop Event

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

Counts

27 → 386

Calls

Call 1

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

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

eval336.0ms (2.7%)

Memory: 15.3MiB live, 249.1MiB allocated
Compiler: Compiled 33 047 to 3 022 computations (90.9% saved)

prune620.0ms (5%)

Memory

-7.0MiB live, 476.9MiB allocated

Pruning

59 alts after pruning (51 fresh and 8 done)

	Pruned	Kept	Total
New	1 033	17	1 050
Fresh	13	34	47
Picked	2	3	5
Done	0	5	5
Total	1 048	59	1 107

Accuracy

99.9%

Counts

1 107 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.4%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	91.6%	(.f32 (pow.f32 (.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.3%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	98.7%	(.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 (neg.f32 u1) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (.f32 u1 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) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	84.6%	(.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))) (fma.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))))
	89.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 #s(approx (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) u2) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (.f32 (fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))) #s(literal 1/4 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(approx (- ( (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(approx (- ( (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
	42.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (pow.f32 (fma.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32) #s(literal -1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	79.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) #s(literal 1 binary32)))
	56.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u2 u2) #s(literal 1 binary32))))
✓	54.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	51.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	70.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
✓	63.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	63.7%	(.f32 (sqrt.f32 #s(approx (+ (neg (log (+ 1 ( u1 u1)))) (log (+ 1 u1))) (.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	83.3%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	77.8%	(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	84.0%	(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.2%	(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	81.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal -1 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1) (-.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	93.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	91.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	91.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	81.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	74.2%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	71.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	81.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	19.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	91.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1))) (.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	81.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1))) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	19.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 #s(approx ( (+ (/ 1/2 u1) 1/3) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	19.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 #s(approx ( (+ (/ 1/2 u1) 1/3) u1) #s(literal 1/2 binary32)) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	89.4%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	68.1%	(.f32 #s(approx (sqrt (+ (neg (log (+ 1 ( u1 u1)))) (log (+ 1 u1)))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	83.2%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	80.6%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	78.1%	(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	3.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	3.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	71.5%	#s(approx (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -3/4 binary32) (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))))
	75.9%	#s(approx (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
	90.1%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
	87.5%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))))
	79.5%	#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))

Compiler

Compiled 3 752 to 1 396 computations (62.8% saved)

regimes633.0ms (5.1%)

Memory

3.9MiB live, 441.6MiB allocated

Counts

100 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (+ (neg (log (+ 1 ( u1 u1)))) (log (+ 1 u1)))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 #s(approx ( (+ (/ 1/2 u1) 1/3) u1) #s(literal 1/2 binary32)) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (+ (neg (log (+ 1 ( u1 u1)))) (log (+ 1 u1))) (.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 #s(approx ( (+ (/ 1/2 u1) 1/3) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1))) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal -1 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.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)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1) (-.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(approx (- ( (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -3/4 binary32) (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1))) (.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) #s(approx (* (+ (* (+ (* -5/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal 5/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) (.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.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 (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)))) (+.f32 #s(approx (- ( (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (.f32 u1 u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (.f32 (.f32 (fma.f32 #s(literal 3 binary32) u1 #s(literal 1 binary32)) u1) u1)) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 #s(approx (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) u2) u2))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (.f32 u1 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)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))))
(.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 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 (neg.f32 u1) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 (.f32 u1 u1) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (fma.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (.f32 u1 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)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #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 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (pow.f32 (fma.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32) #s(literal -1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (.f32 u1 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) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))) (fma.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (.f32 (fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))) #s(literal 1/4 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))))
(.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 (neg.f32 u1) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 (neg.f32 u1) u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))))))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 (.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

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

Calls

10 calls:

227.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
54.0ms	cosTheta_i
53.0ms	(-.f32 #s(literal 1 binary32) u1)
51.0ms	u1
50.0ms	(.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
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
99.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes217.0ms (1.7%)

Memory

-14.1MiB live, 354.5MiB allocated

Counts

59 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (+ (neg (log (+ 1 ( u1 u1)))) (log (+ 1 u1)))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 #s(approx ( (+ (/ 1/2 u1) 1/3) u1) #s(literal 1/2 binary32)) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (+ (neg (log (+ 1 ( u1 u1)))) (log (+ 1 u1))) (.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 #s(approx ( (+ (/ 1/2 u1) 1/3) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1))) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal -1 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.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)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1) (-.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(approx (- ( (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -3/4 binary32) (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1))) (.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) #s(approx (* (+ (* (+ (* -5/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal 5/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) (.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs

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

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

Calls

10 calls:

35.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
32.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
23.0ms	u1
21.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
21.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
93.5%	1	`cosTheta_i`
98.7%	2	`u1`
98.1%	2	`u2`
98.7%	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)))`
98.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
98.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes95.0ms (0.8%)

Memory

15.0MiB live, 256.4MiB allocated

Counts

54 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (+ (neg (log (+ 1 ( u1 u1)))) (log (+ 1 u1)))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 #s(approx ( (+ (/ 1/2 u1) 1/3) u1) #s(literal 1/2 binary32)) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (+ (neg (log (+ 1 ( u1 u1)))) (log (+ 1 u1))) (.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 #s(approx ( (+ (/ 1/2 u1) 1/3) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1))) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal -1 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.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)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1) (-.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(approx (- ( (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -3/4 binary32) (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1))) (.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) #s(approx (* (+ (* (+ (* -5/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal 5/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) (.f32 (.f32 u1 u1) u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Calls

6 calls:

17.0ms	(-.f32 #s(literal 1 binary32) u1)
16.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
16.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
15.0ms	u1
14.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
98.5%	2	`u1`
98.5%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.5%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 50 to 43 computations (14% saved)

regimes129.0ms (1%)

Memory

1.9MiB live, 236.6MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (+ (neg (log (+ 1 ( u1 u1)))) (log (+ 1 u1)))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 #s(approx ( (+ (/ 1/2 u1) 1/3) u1) #s(literal 1/2 binary32)) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (+ (neg (log (+ 1 ( u1 u1)))) (log (+ 1 u1))) (.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 #s(approx ( (+ (/ 1/2 u1) 1/3) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/3 binary32)) u1) (.f32 u1 u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (neg.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1))) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx ( (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (.f32 u1 u1) u1))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal -1 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (+ (neg (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.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)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1) (-.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (neg (- (log (+ 1 ( (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ ( (* u1 u1) u1) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1)))))) (fma.f32 (.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(approx (- ( (cos (* (* 2 (PI)) u2)) 1/2) (+ (* -1/2 (cos (* (* 2 (PI)) u2))) 1/2)) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))

Outputs

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

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

Calls

6 calls:

51.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
20.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
14.0ms	u1
14.0ms	(-.f32 #s(literal 1 binary32) u1)
14.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
98.2%	2	`u1`
98.2%	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)))`
98.2%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.2%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.2%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.2%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 50 to 43 computations (14% saved)

regimes122.0ms (1%)

Memory

2.2MiB live, 371.4MiB allocated

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

17.0ms	(-.f32 #s(literal 1 binary32) u1)
15.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
13.0ms	u2
13.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms	u1

Results

Accuracy	Segments	Branch
97.1%	2	`u2`
97.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
96.5%	2	`u1`
96.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.1%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes125.0ms (1%)

Memory

-32.8MiB live, 325.8MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

13.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
13.0ms	u2
13.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
12.0ms	cosTheta_i
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
93.9%	2	`u1`
93.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
93.9%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.9%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
93.9%	2	`(-.f32 #s(literal 1 binary32) u1)`
87.2%	1	`cosTheta_i`
94.3%	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)))`
94.7%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.7%	2	`u2`
94.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes119.0ms (1%)

Memory

30.3MiB live, 265.2MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

32.0ms	u1
12.0ms	u2
11.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
11.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
92.3%	3	`u1`
92.3%	3	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
92.3%	3	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
92.3%	3	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
92.3%	3	`(-.f32 #s(literal 1 binary32) u1)`
93.5%	3	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
94.4%	3	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.4%	3	`u2`
94.4%	3	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes129.0ms (1%)

Memory

0.2MiB live, 276.2MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

37.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms	u1
11.0ms	cosTheta_i
10.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
87.0%	2	`u1`
87.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
87.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
87.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
87.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
83.3%	1	`cosTheta_i`
87.0%	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)))`
87.1%	2	`u2`
87.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
87.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes106.0ms (0.9%)

Memory

-5.8MiB live, 192.0MiB allocated

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

19.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
14.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
11.0ms	(-.f32 #s(literal 1 binary32) u1)
10.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
83.3%	1	`cosTheta_i`
83.3%	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)))`
83.3%	1	`u1`
83.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
83.3%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
83.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
83.3%	1	`(-.f32 #s(literal 1 binary32) u1)`
83.3%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
83.3%	1	`u2`
83.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes81.0ms (0.6%)

Memory

-8.6MiB live, 107.1MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

23.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
9.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
6.0ms	cosTheta_i
6.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
81.6%	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)))`
81.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
81.6%	1	`u1`
81.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
81.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
81.6%	1	`u2`
81.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
81.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
81.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
81.6%	1	`cosTheta_i`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes61.0ms (0.5%)

Memory

-3.8MiB live, 121.2MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
7.0ms	u1
6.0ms	cosTheta_i
6.0ms	u2

Results

Accuracy	Segments	Branch
81.6%	1	`u1`
81.6%	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)))`
81.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
81.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
81.6%	1	`cosTheta_i`
81.6%	1	`u2`
81.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
81.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
81.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
81.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes59.0ms (0.5%)

Memory

2.3MiB live, 159.4MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

9.0ms	u2
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
6.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
81.2%	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)))`
81.0%	2	`u1`
81.4%	2	`u2`
81.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
81.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
81.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
77.8%	1	`cosTheta_i`
81.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
81.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
81.4%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes46.0ms (0.4%)

Memory

15.4MiB live, 90.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
75.5%	1	`cosTheta_i`
79.0%	2	`u1`
79.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
79.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
79.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
79.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
79.4%	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)))`
79.0%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
79.0%	2	`u2`
79.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes50.0ms (0.4%)

Memory

-13.7MiB live, 69.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

19.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
5.0ms	cosTheta_i
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
3.0ms	u1

Results

Accuracy	Segments	Branch
74.2%	1	`cosTheta_i`
77.8%	2	`u2`
77.8%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
77.8%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
77.7%	2	`u1`
77.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
77.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
77.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
77.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
78.1%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes27.0ms (0.2%)

Memory

20.0MiB live, 57.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

4.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	(-.f32 #s(literal 1 binary32) u1)
2.0ms	cosTheta_i
2.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

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

regimes28.0ms (0.2%)

Memory

-20.1MiB live, 59.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

10 calls:

4.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	u1
2.0ms	cosTheta_i
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
71.4%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
71.4%	1	`u1`
71.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
71.4%	1	`(-.f32 #s(literal 1 binary32) u1)`
71.4%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
71.4%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
71.4%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
71.4%	1	`u2`
71.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
71.4%	1	`cosTheta_i`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes18.0ms (0.1%)

Memory

20.5MiB live, 59.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
63.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
63.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
63.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
63.6%	1	`cosTheta_i`
63.6%	1	`u1`
63.6%	1	`u2`
63.6%	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)))`
63.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
63.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
63.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes14.0ms (0.1%)

Memory

8.8MiB live, 47.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
4.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
4.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
4.6%	1	`cosTheta_i`
4.6%	1	`u2`
4.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
4.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
4.6%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
4.6%	1	`u1`
4.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
4.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9640343189239502	0.9660211205482483

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9660211205482483	0.9708446860313416

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1169227734208107	0.1169973835349083

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.15597249567508698	0.1640980988740921

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0003966354706790298	0.00043591600842773914

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.15597249567508698	0.1640980988740921
0.0ms	0.0003966354706790298	0.00043591600842773914

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0003966354706790298	0.00043591600842773914

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	0.0003966354706790298	0.00043591600842773914

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	0.0010710470378398895	0.00129187130369246

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	0.0010710470378398895	0.00129187130369246

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify12.0ms (0.1%)

Memory

-14.1MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	859
1	173	859
2	184	859
3	189	859

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 #s(literal 1 binary32) u1) #s(literal 16190013/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u2 u2) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 4068475/4194304 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (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 15696763/134217728 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/33554432 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5153961/4294967296 binary32)) (.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5153961/4294967296 binary32)) (.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16190013/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 u2 u2) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16190013/16777216 binary32)) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 2/3 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) u2) u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 4068475/4194304 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 4068475/4194304 binary32)) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 15696763/134217728 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 15696763/134217728 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 5368709/33554432 binary32)) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 13743895/34359738368 binary32)) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/33554432 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx ( (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 13743895/34359738368 binary32)) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 5368709/33554432 binary32)) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 13743895/34359738368 binary32)) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 13743895/34359738368 binary32)) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5153961/4294967296 binary32)) (.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 5153961/4294967296 binary32)) (.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))))
(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 5153961/4294967296 binary32)) (.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 5153961/4294967296 binary32)) (.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

soundness1.2s (9.8%)

Memory

-19.2MiB live, 1 178.7MiB allocated

Rules

11 054×	`lower-fma.f64`
11 054×	`lower-fma.f32`
9 904×	`lower-fma.f64`
9 904×	`lower-fma.f32`
9 722×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	324
0	100	219
1	318	219
2	2234	217
0	9615	198
0	13	39
0	22	39
1	65	39
2	320	39
3	2355	37
0	8649	29
0	74	417
0	123	388
1	439	364
2	3333	251
0	9743	248
0	306	1849
1	911	1570
2	2914	1447
3	7134	1410
0	8388	1352
0	743	9092
1	2307	7370
2	7596	7350
0	8020	6937
0	581	8418
1	1785	7042
2	5700	6951
0	8623	6571

Stop Event

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

Compiler

Compiled 1 594 to 833 computations (47.7% saved)

preprocess80.0ms (0.6%)

Memory

9.6MiB live, 165.3MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 514 to 482 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze450.0ms (3.6%)

sample2.0s (15.7%)

explain201.0ms (1.6%)

preprocess59.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize82.0ms (0.7%)

series238.0ms (1.9%)

simplify213.0ms (1.7%)

rewrite198.0ms (1.6%)

eval35.0ms (0.3%)

prune72.0ms (0.6%)

simplify369.0ms (3%)

localize165.0ms (1.3%)

series144.0ms (1.2%)

simplify189.0ms (1.5%)

rewrite201.0ms (1.6%)

eval289.0ms (2.3%)

prune276.0ms (2.2%)

simplify145.0ms (1.2%)

localize259.0ms (2.1%)

series151.0ms (1.2%)

simplify224.0ms (1.8%)

rewrite286.0ms (2.3%)

eval192.0ms (1.5%)

prune348.0ms (2.8%)

simplify215.0ms (1.7%)

localize255.0ms (2%)

series108.0ms (0.9%)

simplify206.0ms (1.7%)

rewrite584.0ms (4.7%)

eval336.0ms (2.7%)

prune620.0ms (5%)

regimes633.0ms (5.1%)

regimes217.0ms (1.7%)

regimes95.0ms (0.8%)

regimes129.0ms (1%)

regimes122.0ms (1%)

regimes125.0ms (1%)

regimes119.0ms (1%)

regimes129.0ms (1%)

regimes106.0ms (0.9%)

regimes81.0ms (0.6%)

regimes61.0ms (0.5%)

regimes59.0ms (0.5%)

regimes46.0ms (0.4%)

regimes50.0ms (0.4%)

regimes27.0ms (0.2%)

regimes28.0ms (0.2%)

regimes18.0ms (0.1%)

regimes14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.2s (9.8%)

preprocess80.0ms (0.6%)

end0.0ms (0%)

Profiling