Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze315.0ms (2.2%)

Memory

-25.3MiB live, 552.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.1s (14.6%)

Memory

43.7MiB live, 2 589.6MiB allocated

Samples

1.5s	8 256×	0	valid
1.0ms	5×	0	invalid

Precisions

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

const: 308.0ms (23.9% of total)

ival-mult: 219.0ms (17% of total)

ival-log: 187.0ms (14.5% of total)

ival-<=: 145.0ms (11.3% of total)

ival-cos: 118.0ms (9.2% of total)

ival-sqrt: 94.0ms (7.3% of total)

ival-sub: 56.0ms (4.3% of total)

ival-and: 46.0ms (3.6% of total)

ival-pi: 43.0ms (3.3% of total)

ival-neg: 35.0ms (2.7% of total)

ival->: 24.0ms (1.9% of total)

exact: 9.0ms (0.7% of total)

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

Bogosity

explain135.0ms (0.9%)

Memory

-10.0MiB live, 364.8MiB 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

52.0ms

512×

valid

Compiler

Compiled 120 to 46 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 9.0ms (25.8% of total)

ival-log: 8.0ms (23% of total)

ival-cos: 6.0ms (17.2% of total)

ival-sub: 3.0ms (8.6% of total)

ival-sqrt: 3.0ms (8.6% of total)

ival-neg: 3.0ms (8.6% of total)

ival-pi: 2.0ms (5.7% of total)

exact: 1.0ms (2.9% of total)

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

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

preprocess46.0ms (0.3%)

Memory

19.3MiB live, 61.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

simplify8.0ms (0.1%)

Memory

-25.1MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.3%)

Memory

23.9MiB live, 100.2MiB 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

26.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 4.0ms (22.6% of total)

ival-log: 4.0ms (22.6% of total)

ival-cos: 3.0ms (16.9% of total)

ival-pi: 2.0ms (11.3% of total)

ival-sub: 2.0ms (11.3% of total)

ival-sqrt: 2.0ms (11.3% of total)

ival-neg: 1.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory

-4.0MiB live, 149.7MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (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
29.0ms	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)))
8.0ms	u2	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
6.0ms	u1	@	inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
4.0ms	u1	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms	u2	@	0	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))

simplify253.0ms (1.7%)

Memory

28.8MiB live, 568.4MiB 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 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32) (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (fma.f32 #s(literal -1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)) (neg.f32 (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 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 #s(literal -1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1)) (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (.f32 u1 u1) #s(literal -1 binary32))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1/6 binary32) u1 #s(literal -1/4 binary32)))) (neg.f32 (sqrt.f32 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))

rewrite218.0ms (1.5%)

Memory

-3.9MiB live, 567.1MiB 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
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 (neg.f32 u1)))
(neg.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (log.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(-.f32 (log1p.f32 u1) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 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 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (log.f32 (.f32 #s(literal 1 binary32) (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(-.f32 (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (log.f32 (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 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 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (.f32 u1 (.f32 u1 u1)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 u1)))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (.f32 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.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) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 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 u1 (.f32 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 (neg.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (log.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))))
(-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.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 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
(-.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 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.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 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 u1))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1)))
(/.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 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (log1p.f32 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 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) 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)))))
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(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 u1)))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (exp.f32 (log.f32 (log1p.f32 u1))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 4 binary32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 (PI.f32) (.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) #s(literal 1 binary32))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (*.f32 u2 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) u2))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 u2 (cbrt.f32 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 (PI.f32))))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(.f32 (.f32 u2 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))))
(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(cos.f32 (fma.f32 (PI.f32) u2 (*.f32 (PI.f32) u2)))
(+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32))
(/.f32 (-.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32))
(.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))

eval31.0ms (0.2%)

Memory: 5.7MiB live, 86.7MiB allocated
Compiler: Compiled 7 659 to 1 420 computations (81.5% saved)

prune86.0ms (0.6%)

Memory

-39.6MiB live, 221.4MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	302	23	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	303	23	326

Accuracy

99.6%

Counts

326 → 23

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 u1 (.f32 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 u1 (neg.f32 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 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.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 u1 (neg.f32 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 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	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 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)))) #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 u2 (.f32 u2 (.f32 #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)))
	93.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	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))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.2%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	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 1 032 to 736 computations (28.7% saved)

simplify448.0ms (3.1%)

Memory

31.2MiB live, 456.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

22 236×	`lower-fma.f64`
22 230×	`lower-fma.f32`
3 248×	`lower-+.f64`
3 246×	`lower-+.f32`
2 976×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	425
0	87	410
1	149	410
2	281	410
3	634	410
4	1232	410
5	2995	410
6	4166	410
7	4879	410
8	5341	410
9	6018	410
10	6573	410
11	6802	410
12	6810	410
13	6948	410
14	7008	410
15	7259	410
16	7455	410
17	7483	410
18	7485	410
19	7485	410
0	8472	404

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

localize185.0ms (1.3%)

Memory

-10.1MiB live, 359.2MiB 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 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
accuracy	0.1407418779204773	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.15625	(.f32 (sqrt.f32 (log1p.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)
accuracy	0.819981100067167	(PI.f32)
accuracy	0.97265625	(*.f32 (PI.f32) (PI.f32))
accuracy	3.574525902928964	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
accuracy	13.862648457441317	(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	13.862648457441317	(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1407418779204773	(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

94.0ms	200×	0	valid
28.0ms	49×	1	valid
2.0ms	7×	0	invalid

Compiler

Compiled 456 to 44 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-log: 36.0ms (35.9% of total)

ival-mult: 22.0ms (21.9% of total)

ival-neg: 13.0ms (13% of total)

ival-sqrt: 6.0ms (6% of total)

ival-log1p: 6.0ms (6% of total)

ival-add: 5.0ms (5% of total)

adjust: 3.0ms (3% of total)

ival-cos: 3.0ms (3% of total)

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

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

ival-pi: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series156.0ms (1.1%)

Memory

-8.9MiB live, 302.0MiB allocated

Counts

24 → 324

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

Calls

6 calls:

Time	Variable		Point	Expression
80.0ms	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 (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (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)) (* (PI) (PI)) (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))
33.0ms	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 (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (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)) (* (PI) (PI)) (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))
11.0ms	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 (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (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)) (* (PI) (PI)) (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))
6.0ms	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 (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (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)) (* (PI) (PI)) (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))
5.0ms	u1	@	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 (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (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)) (* (PI) (PI)) (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)))

simplify336.0ms (2.3%)

Memory

5.6MiB live, 471.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 284×	`lower-fma.f64`
10 284×	`lower-fma.f32`
7 182×	`lower-*.f64`
7 182×	`lower-*.f32`
4 686×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	769	8775
1	2420	7336
2	7420	7252
0	8231	6848

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 320

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)
(* 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)))))))
(* (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))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (* (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))))

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

rewrite416.0ms (2.9%)

Memory

16.8MiB live, 776.1MiB allocated

Rules

4 368×	`lower-fma.f64`
4 362×	`lower-fma.f32`
3 256×	`lower-*.f64`
3 234×	`lower-*.f32`
2 880×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	277
0	87	174
1	272	174
2	1861	158
0	9321	153

Stop Event

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

Counts

24 → 739

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

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

eval154.0ms (1.1%)

Memory: 2.2MiB live, 307.8MiB allocated
Compiler: Compiled 60 450 to 4 383 computations (92.7% saved)

prune258.0ms (1.8%)

Memory

15.9MiB live, 580.2MiB allocated

Pruning

51 alts after pruning (48 fresh and 3 done)

	Pruned	Kept	Total
New	1 413	40	1 453
Fresh	10	8	18
Picked	2	3	5
Done	0	0	0
Total	1 425	51	1 476

Accuracy

99.8%

Counts

1 476 → 51

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)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.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 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	79.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 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 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	70.3%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2) #s(literal 1 binary32))))
	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)))
▶	48.3%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(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 (PI.f32) u2))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (fma.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (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 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
	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)))
	91.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))) #s(literal 1 binary32))))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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)))
✓	54.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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)))
	87.2%	(.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))))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	75.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	91.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	81.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	74.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	77.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	71.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) 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 u2 (.f32 u2 (.f32 #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)) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
▶	73.8%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	68.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))) #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 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 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)))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	75.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	81.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	74.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	91.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.8%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	71.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	73.8%	(.f32 (sqrt.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	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 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u2 (.f32 u2 (.f32 #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)))
	75.9%	(.f32 #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	68.6%	#s(approx (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (.f32 u2 u2))))) (sqrt.f32 (log1p.f32 u1))))
	62.0%	#s(approx (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 2 370 to 1 539 computations (35.1% saved)

simplify271.0ms (1.9%)

Memory

12.7MiB live, 367.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (log1p.f32 u1))
cost-diff	0	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
cost-diff	3200	(log.f32 (E.f32))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff	128	(neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
cost-diff	256	(/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff	320	(log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
cost-diff	0	(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
cost-diff	0	#s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
cost-diff	0	(sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
cost-diff	64	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
cost-diff	64	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
cost-diff	4000	(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))

Rules

17 468×	`lower-fma.f64`
17 462×	`lower-fma.f32`
3 360×	`lower-*.f64`
3 330×	`lower-*.f32`
2 088×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	433
0	108	414
1	190	402
2	346	394
3	642	358
4	1126	350
5	2705	350
6	4327	342
7	5775	340
8	6683	340
9	7662	340
0	8010	338

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

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

localize352.0ms (2.4%)

Memory

-13.5MiB live, 267.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28125	(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	0.3514486398446024	(E.f32)
accuracy	0.98828125	(log.f32 (E.f32))
accuracy	0.12890625	(sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
accuracy	0.17578125	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	6.557148817022772	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	14.813853419996422	(log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
accuracy	0.3514204714573573	(PI.f32)
accuracy	0.98828125	(*.f32 (PI.f32) (PI.f32))
accuracy	2.5401669444211836	#s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
accuracy	3.5995844321197406	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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	6.557148817022772	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	30.53280394169724	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.25354254138909577	(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
accuracy	0.28125	(*.f32 (PI.f32) u2)
accuracy	0.3514204714573573	(PI.f32)
accuracy	19.095757219022758	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))

Samples

158.0ms	68×	1	valid
98.0ms	185×	0	valid
4.0ms	3×	5	exit

Compiler

Compiled 385 to 60 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-mult: 76.0ms (32.3% of total)

ival-sqrt: 56.0ms (23.8% of total)

ival-add: 30.0ms (12.8% of total)

ival-neg: 24.0ms (10.2% of total)

ival-log: 13.0ms (5.5% of total)

ival-cos: 10.0ms (4.3% of total)

adjust: 7.0ms (3% of total)

ival-sub: 5.0ms (2.1% of total)

const: 4.0ms (1.7% of total)

ival-log1p: 4.0ms (1.7% of total)

ival-div: 2.0ms (0.9% of total)

ival-e: 2.0ms (0.9% of total)

ival-pi: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series176.0ms (1.2%)

Memory

15.8MiB live, 172.9MiB allocated

Counts

28 → 336

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
70.0ms	u2	@	0	((- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))) (* (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))) (+ (* (* u1 u1) (+ (* u1 1/3) 1/2)) u1) (log (/ (+ u1 1) (- 1 (* u1 u1)))) (/ (+ u1 1) (- 1 (* u1 u1))) (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))) (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (log (E)) (* (PI) (log (E))) (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (* (PI) (log (E)))) u2))) (sqrt (log (+ 1 u1))) (PI) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (E) (* (* 2 (* (PI) (log (E)))) u2))
41.0ms	u2	@	-inf	((- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))) (* (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))) (+ (* (* u1 u1) (+ (* u1 1/3) 1/2)) u1) (log (/ (+ u1 1) (- 1 (* u1 u1)))) (/ (+ u1 1) (- 1 (* u1 u1))) (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))) (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (log (E)) (* (PI) (log (E))) (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (* (PI) (log (E)))) u2))) (sqrt (log (+ 1 u1))) (PI) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (E) (* (* 2 (* (PI) (log (E)))) u2))
40.0ms	u2	@	inf	((- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))) (* (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))) (+ (* (* u1 u1) (+ (* u1 1/3) 1/2)) u1) (log (/ (+ u1 1) (- 1 (* u1 u1)))) (/ (+ u1 1) (- 1 (* u1 u1))) (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))) (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (log (E)) (* (PI) (log (E))) (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (* (PI) (log (E)))) u2))) (sqrt (log (+ 1 u1))) (PI) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (E) (* (* 2 (* (PI) (log (E)))) u2))
4.0ms	u1	@	inf	((- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))) (* (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))) (+ (* (* u1 u1) (+ (* u1 1/3) 1/2)) u1) (log (/ (+ u1 1) (- 1 (* u1 u1)))) (/ (+ u1 1) (- 1 (* u1 u1))) (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))) (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (log (E)) (* (PI) (log (E))) (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (* (PI) (log (E)))) u2))) (sqrt (log (+ 1 u1))) (PI) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (E) (* (* 2 (* (PI) (log (E)))) u2))
4.0ms	u1	@	-inf	((- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))) (* (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))) (+ (* (* u1 u1) (+ (* u1 1/3) 1/2)) u1) (log (/ (+ u1 1) (- 1 (* u1 u1)))) (/ (+ u1 1) (- 1 (* u1 u1))) (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))) (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (log (E)) (* (PI) (log (E))) (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (* (PI) (log (E)))) u2))) (sqrt (log (+ 1 u1))) (PI) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (E) (* (* 2 (* (PI) (log (E)))) u2))

simplify386.0ms (2.6%)

Memory

0.5MiB live, 357.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 436×	`lower-fma.f64`
9 436×	`lower-fma.f32`
7 214×	`lower-*.f64`
7 214×	`lower-*.f32`
3 228×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	712	7824
1	2191	6609
2	7207	6556
0	8100	6232

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 333

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

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

rewrite512.0ms (3.5%)

Memory

-33.3MiB live, 855.0MiB allocated

Rules

4 312×	`lower-*.f64`
4 284×	`lower-*.f32`
3 288×	`lower-/.f64`
3 286×	`lower-/.f32`
2 828×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	304
0	108	276
1	355	221
2	2213	199
0	8640	197

Stop Event

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

Counts

28 → 775

Calls

Call 1

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

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

eval179.0ms (1.2%)

Memory: 16.6MiB live, 319.4MiB allocated
Compiler: Compiled 46 660 to 5 025 computations (89.2% saved)

prune319.0ms (2.2%)

Memory

29.6MiB live, 590.5MiB allocated

Pruning

71 alts after pruning (66 fresh and 5 done)

	Pruned	Kept	Total
New	1 260	39	1 299
Fresh	16	27	43
Picked	3	2	5
Done	0	3	3
Total	1 279	71	1 350

Accuracy

99.9%

Counts

1 350 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.8%	(fma.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (sqrt.f32 (log1p.f32 u1)) (.f32 (neg.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (sqrt.f32 (log1p.f32 u1))))
	73.5%	(.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) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	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)))
	81.1%	(.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	81.6%	(.f32 (pow.f32 (.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #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 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 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 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.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)))
✓	48.3%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	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)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))))) #s(literal 2 binary32) (.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	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 #s(literal 2 binary32) (*.f32 (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 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) u2)))))))
	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 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	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)))
▶	91.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))) #s(literal 1 binary32))))
	88.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 u2 u2) (.f32 #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 (- (+ 1/2 ( 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) 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 u2 (.f32 u2 (.f32 #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)))
▶	87.2%	(.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))))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	71.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	93.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	91.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	81.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	77.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #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 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	73.8%	(.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (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)))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 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)))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 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 (.f32 u1 u1) #s(literal 1/3 binary32)) u1 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	93.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	83.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	75.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	84.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))) #s(literal 1 binary32))))
	81.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
	91.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
	74.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	81.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	77.8%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	71.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	81.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (fma.f32 u1 (.f32 u1 u1) (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (fma.f32 u1 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))) (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 (+ ( (* u1 u1) (+ (* u1 1/3) 1/2)) u1) (.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1))))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 (+ ( (* u1 u1) (+ (* u1 1/3) 1/2)) u1) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 (+ ( (* u1 u1) (+ (* u1 1/3) 1/2)) u1) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	73.8%	(.f32 (sqrt.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	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)))
	73.4%	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	71.6%	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	63.6%	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	3.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u2 u2) (.f32 #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 u2 (.f32 u2 (.f32 #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)))
	75.8%	(.f32 #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	75.9%	(.f32 #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.1%	#s(approx (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
	87.5%	#s(approx (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
	48.3%	#s(approx (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
	62.0%	#s(approx (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (* (PI) (log (E)))) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 3 423 to 2 225 computations (35% saved)

simplify238.0ms (1.6%)

Memory

-20.5MiB live, 467.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))) #s(literal 1 binary32))))
cost-diff	0	#s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))
cost-diff	0	(neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))
cost-diff	0	(.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))))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
cost-diff	0	#s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
cost-diff	0	(sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
cost-diff	0	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt.f32 u1))
cost-diff	0	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (sqrt.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 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
cost-diff	192	(+.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) #s(literal 1/2 binary32))
cost-diff	3872	(-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))

Rules

17 052×	`lower-fma.f64`
17 036×	`lower-fma.f32`
3 550×	`lower-*.f64`
3 512×	`lower-*.f32`
2 652×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	681
0	145	688
1	292	620
2	620	594
3	1363	594
4	3035	594
5	5788	594
0	8197	576

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

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

localize343.0ms (2.3%)

Memory

17.1MiB live, 734.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.8081412910902674	(fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (.f32 u2 u2))))
accuracy	0.819981100067167	(PI.f32)
accuracy	1.5416236823420566	(pow.f32 (PI.f32) #s(literal 4 binary32))
accuracy	2.481925786006808	#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)))) #s(literal 1 binary32)))
accuracy	0.25	(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
accuracy	0.28125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.819981100067167	(PI.f32)
accuracy	4.443013608302572	#s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))
accuracy	0.819981100067167	(PI.f32)
accuracy	0.97265625	(*.f32 (PI.f32) (PI.f32))
accuracy	1.3633723441881114	#s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
accuracy	3.574525902928964	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
accuracy	0	(sqrt.f32 u1)
accuracy	0.17578125	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (sqrt.f32 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	7.031084005862703	#s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt.f32 u1))
accuracy	0.23590748993272953	(-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))
accuracy	0.28125	(*.f32 (PI.f32) u2)
accuracy	0.819981100067167	(PI.f32)
accuracy	18.81537153693844	(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))

Samples

146.0ms	202×	0	valid
57.0ms	47×	1	valid
4.0ms	7×	0	invalid

Compiler

Compiled 576 to 87 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 76.0ms (43.8% of total)

ival-add: 18.0ms (10.4% of total)

ival-neg: 15.0ms (8.6% of total)

ival-log: 13.0ms (7.5% of total)

adjust: 8.0ms (4.6% of total)

ival-sqrt: 8.0ms (4.6% of total)

ival-sub: 7.0ms (4% of total)

const: 7.0ms (4% of total)

ival-cos: 6.0ms (3.5% of total)

ival-div: 5.0ms (2.9% of total)

ival-log1p: 5.0ms (2.9% of total)

ival-pow: 3.0ms (1.7% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series219.0ms (1.5%)

Memory

-25.2MiB live, 224.0MiB allocated

Counts

29 → 372

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
76.0ms	u2	@	inf	((- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) (+ (- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) 1/2) (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) 1/2)) (sqrt (neg (log (+ 1 (neg u1))))) (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt u1) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 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)))))) (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2) (PI) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (* (* 2 (PI)) u2) (* u1 (+ (* u1 -1/2) -1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (pow (PI) 4) (+ (* (PI) (* (PI) -2)) (* (pow (PI) 4) (* 2/3 (* u2 u2)))))
73.0ms	u2	@	-inf	((- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) (+ (- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) 1/2) (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) 1/2)) (sqrt (neg (log (+ 1 (neg u1))))) (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt u1) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 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)))))) (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2) (PI) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (* (* 2 (PI)) u2) (* u1 (+ (* u1 -1/2) -1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (pow (PI) 4) (+ (* (PI) (* (PI) -2)) (* (pow (PI) 4) (* 2/3 (* u2 u2)))))
3.0ms	u2	@	0	((- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) (+ (- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) 1/2) (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) 1/2)) (sqrt (neg (log (+ 1 (neg u1))))) (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt u1) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 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)))))) (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2) (PI) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (* (* 2 (PI)) u2) (* u1 (+ (* u1 -1/2) -1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (pow (PI) 4) (+ (* (PI) (* (PI) -2)) (* (pow (PI) 4) (* 2/3 (* u2 u2)))))
3.0ms	u1	@	-inf	((- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) (+ (- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) 1/2) (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) 1/2)) (sqrt (neg (log (+ 1 (neg u1))))) (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt u1) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 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)))))) (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2) (PI) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (* (* 2 (PI)) u2) (* u1 (+ (* u1 -1/2) -1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (pow (PI) 4) (+ (* (PI) (* (PI) -2)) (* (pow (PI) 4) (* 2/3 (* u2 u2)))))
3.0ms	u1	@	inf	((- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) (+ (- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) 1/2) (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (- (* 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) 1/2)) (sqrt (neg (log (+ 1 (neg u1))))) (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt u1) (cos (* (* 2 (PI)) u2)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 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)))))) (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2) (PI) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (* (* 2 (PI)) u2) (* u1 (+ (* u1 -1/2) -1)) (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (pow (PI) 4) (+ (* (PI) (* (PI) -2)) (* (pow (PI) 4) (* 2/3 (* u2 u2)))))

simplify437.0ms (3%)

Memory

4.5MiB live, 438.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 748×	`lower-fma.f64`
10 748×	`lower-fma.f32`
7 590×	`lower-*.f64`
7 590×	`lower-*.f32`
3 816×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	847	9591
1	2632	7652
0	8553	7284

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 368

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

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

rewrite468.0ms (3.2%)

Memory

14.9MiB live, 489.7MiB allocated

Rules

5 528×	`lower-fma.f64`
5 512×	`lower-fma.f32`
4 382×	`lower-*.f64`
4 344×	`lower-*.f32`
2 156×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	530
0	145	498
1	582	431
2	4505	324
0	8470	303

Stop Event

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

Counts

29 → 538

Calls

Call 1

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

Outputs
(+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (neg.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(+.f32 (neg.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(+.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(+.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))) (-.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (neg.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (neg.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32) #s(literal -1/2 binary32))
(fma.f32 #s(literal -1 binary32) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))
(-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32))
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(fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(fma.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) #s(literal 2/3 binary32))) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (PI.f32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 u2 u2) #s(literal 2/3 binary32)) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 #s(literal 2/3 binary32) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal 2/3 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(fma.f32 (.f32 u2 #s(literal 2/3 binary32)) (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)) (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 u2 u2)) #s(literal 2/3 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 u2 #s(literal 2/3 binary32))) u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal 2/3 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)) u2) u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))
(fma.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) #s(literal 1 binary32)) (PI.f32) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(fma.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(fma.f32 (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))
(-.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 u2 u2) #s(literal 2/3 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))) (-.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) (.f32 (.f32 u2 u2) u2)) #s(literal 8/27 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (-.f32 (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 u2 u2) #s(literal 2/3 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) (.f32 (.f32 u2 u2) u2)) #s(literal 8/27 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32)))) (fma.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))) (-.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) (.f32 (.f32 u2 u2) u2)) #s(literal 8/27 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32)))) (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 u2 u2) #s(literal 2/3 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))) (-.f32 (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))))))
(/.f32 (-.f32 (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 u2 u2) #s(literal 2/3 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) (.f32 (.f32 u2 u2) u2)) #s(literal 8/27 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32))))) (neg.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))) (-.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 u2 u2) #s(literal 2/3 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))) (neg.f32 (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 u2 u2) #s(literal 2/3 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))) (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (-.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))
(.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) (.f32 (.f32 u2 u2) u2)) #s(literal 8/27 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -8 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))) (-.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))
(.f32 (-.f32 (.f32 #s(literal 4 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 u2 u2) #s(literal 2/3 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))))))

eval194.0ms (1.3%)

Memory: 18.2MiB live, 200.2MiB allocated
Compiler: Compiled 45 665 to 4 333 computations (90.5% saved)

prune534.0ms (3.7%)

Memory

-17.4MiB live, 706.6MiB allocated

Pruning

73 alts after pruning (66 fresh and 7 done)

	Pruned	Kept	Total
New	1 293	21	1 314
Fresh	16	45	61
Picked	2	3	5
Done	1	4	5
Total	1 312	73	1 385

Accuracy

99.9%

Counts

1 385 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.8%	(fma.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (sqrt.f32 (log1p.f32 u1)) (.f32 (neg.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (sqrt.f32 (log1p.f32 u1))))
	86.7%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (+ (log (/ (+ ( u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.5%	(.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) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	87.2%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))))) (neg.f32 #s(approx (+ (log (/ (+ ( u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	81.6%	(.f32 (pow.f32 (.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	87.1%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 #s(approx (+ (log (/ (+ ( u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))) #s(approx (+ (log (/ (+ ( u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))))) #s(approx (+ (log (/ (+ ( u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))))) (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (+ (log (/ (+ ( u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))) #s(approx (+ (log (/ (+ ( u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))))))))) (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 u1 (neg.f32 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 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.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)))) (/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))))) #s(literal 2 binary32) (.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1 binary32)))) (.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (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)))) (+.f32 (/.f32 (-.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32))) (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) (.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #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 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (.f32 (fma.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 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 (- ( 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 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 (- ( 1/2 (cos (* 2 (* (PI) u2)))) (+ (* (cos (* 2 (* (PI) u2))) -1/2) 1/2)) (-.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #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 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) #s(literal 1 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 (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
	91.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)) u2) u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))))
	79.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) 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 u2 (.f32 u2 (.f32 #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)))
	87.2%	(.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))))) (/.f32 (.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	87.2%	(.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))))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.0%	(.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))))) #s(approx (* u1 (+ (* u1 -1/2) -1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	74.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	71.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	93.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	91.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	81.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	77.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #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 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	73.8%	(.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (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)))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 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)))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 (.f32 u1 u1)) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	81.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/3 binary32)) u1 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	93.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	83.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	75.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	81.6%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
	91.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
	74.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	81.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	77.8%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	71.4%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	83.1%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (+ ( (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) u1) (.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 (+ ( (* u1 u1) (+ (* u1 1/3) 1/2)) u1) (.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1))))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 (+ ( (* u1 u1) (+ (* u1 1/3) 1/2)) u1) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 (+ ( (* u1 u1) (+ (* u1 1/3) 1/2)) u1) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	93.4%	(.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (+.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))
	73.8%	(.f32 (sqrt.f32 #s(approx (log (+ 1 u1)) (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.1%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))) (.f32 u1 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.4%	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	75.4%	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	71.6%	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	68.1%	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (sqrt.f32 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))))
	75.9%	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
✓	63.6%	(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	3.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u2 u2) (.f32 #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 u2 (.f32 u2 (.f32 #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)))
	75.8%	(.f32 #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	90.1%	#s(approx (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
	87.5%	#s(approx (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
	48.3%	#s(approx (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
	62.0%	#s(approx (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (* (PI) (log (E)))) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 4 720 to 1 686 computations (64.3% saved)

regimes375.0ms (2.6%)

Memory

24.1MiB live, 620.1MiB allocated

Counts

124 → 1

Calls

Call 1

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

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

Calls

10 calls:

54.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
38.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
38.0ms	u1
35.0ms	(-.f32 #s(literal 1 binary32) u1)
34.0ms	(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)

regimes242.0ms (1.7%)

Memory

-28.4MiB live, 337.3MiB allocated

Counts

73 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

47.0ms	cosTheta_i
27.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
22.0ms	u2
21.0ms	(-.f32 #s(literal 1 binary32) 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)))

Results

Accuracy	Segments	Branch
93.5%	1	`cosTheta_i`
99.0%	2	`u1`
99.0%	2	`u2`
99.0%	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)))`
99.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
99.0%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes195.0ms (1.3%)

Memory

20.7MiB live, 292.8MiB allocated

Counts

68 → 2

Calls

Call 1

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

Outputs

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

Calls

9 calls:

39.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
22.0ms	u1
20.0ms	u2
20.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
19.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
98.5%	2	`u1`
98.1%	2	`u2`
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)`
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 71 to 61 computations (14.1% saved)

regimes399.0ms (2.7%)

Memory

-132.9MiB live, 207.5MiB allocated

Counts

61 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

280.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
33.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
33.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
19.0ms	(-.f32 #s(literal 1 binary32) u1)
18.0ms	u1

Results

Accuracy	Segments	Branch
98.2%	2	`u1`
98.3%	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)))`
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)

regimes157.0ms (1.1%)

Memory

-13.8MiB live, 342.8MiB allocated

Counts

56 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

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

regimes155.0ms (1.1%)

Memory

24.0MiB live, 378.2MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

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

Calls

10 calls:

19.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
15.0ms	cosTheta_i
15.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
15.0ms	u1
15.0ms	u2

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`
94.7%	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)`
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)))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes129.0ms (0.9%)

Memory

9.9MiB live, 324.5MiB allocated

Counts

47 → 3

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

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

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	`u2`
94.4%	3	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.4%	3	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes121.0ms (0.8%)

Memory

-7.5MiB live, 233.6MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

17.0ms	u2
13.0ms	cosTheta_i
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms	(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)

regimes113.0ms (0.8%)

Memory

2.3MiB live, 239.7MiB allocated

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

13.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms	u1
12.0ms	cosTheta_i
11.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
11.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

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)

regimes75.0ms (0.5%)

Memory

2.2MiB live, 159.6MiB allocated

Counts

23 → 1

Calls

Call 1

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

Calls

10 calls:

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

Results

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

regimes81.0ms (0.6%)

Memory

-14.6MiB live, 145.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

Calls

10 calls:

22.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
7.0ms	cosTheta_i
7.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
7.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
6.0ms	u2

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`
81.5%	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)))`
81.5%	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)`
81.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes20.0ms (0.1%)

Memory

3.3MiB live, 42.1MiB allocated

Counts

19 → 2

Calls

Call 1

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

Calls

3 calls:

7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	u2
6.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
81.5%	2	`u2`
81.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
81.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes60.0ms (0.4%)

Memory

18.6MiB live, 138.4MiB allocated

Counts

18 → 2

Calls

Call 1

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
75.6%	1	`cosTheta_i`
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	`u1`
79.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
79.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
79.5%	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)))`
79.0%	2	`u2`
79.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
79.0%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes6.0ms (0%)

Memory

-25.7MiB live, 13.2MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
79.5%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes48.0ms (0.3%)

Memory

-9.0MiB live, 110.5MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

Calls

10 calls:

6.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
5.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms	u1
5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	u2

Results

Accuracy	Segments	Branch
74.3%	1	`cosTheta_i`
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)`
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)`
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)

regimes41.0ms (0.3%)

Memory

17.0MiB live, 96.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

9 calls:

9.0ms	u2
4.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	(-.f32 #s(literal 1 binary32) u1)
4.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.0ms	u1

Results

Accuracy	Segments	Branch
74.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
74.3%	1	`(-.f32 #s(literal 1 binary32) u1)`
74.3%	1	`u1`
74.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
74.3%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
74.3%	1	`u2`
74.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
74.3%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
74.3%	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)))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes36.0ms (0.2%)

Memory

-2.8MiB live, 78.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

Calls

10 calls:

8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms	(-.f32 #s(literal 1 binary32) u1)
3.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.0ms	u1
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
71.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
71.4%	1	`(-.f32 #s(literal 1 binary32) u1)`
71.4%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
71.4%	1	`cosTheta_i`
71.4%	1	`u2`
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	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
71.4%	1	`u1`
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)))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes21.0ms (0.1%)

Memory

14.4MiB live, 53.3MiB allocated

Accuracy

Total -19.2b remaining (-165%)

Threshold costs -19.2b (-165%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt.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)))

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

Calls

10 calls:

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

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22109980881214142	0.29119500517845154

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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

0.8MiB live, 0.8MiB 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

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.020987773314118385	0.022086288779973984

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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

1.0MiB live, 1.0MiB 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

0.7MiB live, 0.7MiB 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

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999998807907104	0.9999999403953552

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	0.9999998807907104	0.9999999403953552

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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

0.5MiB 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

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0010710470378398895	0.00129187130369246

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify17.0ms (0.1%)

Memory

1.2MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Rules

84×	`*-commutative_binary32`
14×	`sub-neg_binary32`
14×	`+-commutative_binary32`
12×	`neg-sub0_binary32`
12×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	974
1	208	974
2	221	974
3	227	974

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)) u2) u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(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 u2 (.f32 u2 (.f32 #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 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (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))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 u2 u2) (.f32 #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 1476395/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 (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))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 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 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))) (.f32 #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 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 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388607/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388607/8388608 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (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 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (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 (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt.f32 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 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (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 (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt.f32 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 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (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)))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32)) u2) u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1/4 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 ( 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 2/3 binary32))) u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
(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 u2 (.f32 u2 (.f32 #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 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (-.f32 #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 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
(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))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 15696763/134217728 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2)))))) (fma.f32 (.f32 u2 u2) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) #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 1476395/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 1476395/67108864 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 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))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)))))
(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 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))) (.f32 #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 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 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (sqrt (log (+ 1 u1))) (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 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388607/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388607/8388608 binary32)) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388607/8388608 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388607/8388608 binary32)) (.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #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 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #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 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 5153961/4294967296 binary32)) (.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #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 (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt.f32 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 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 5153961/4294967296 binary32)) (.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #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 (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt.f32 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 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 5153961/4294967296 binary32)) (.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32)))) (.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #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))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (neg (log (/ (+ u1 1) (- 1 ( u1 u1))))))) (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 (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (sqrt.f32 u1)))

soundness2.0s (13.7%)

Memory

2.9MiB live, 1 362.2MiB allocated

Rules

10 748×	`lower-fma.f64`
10 748×	`lower-fma.f32`
10 284×	`lower-fma.f64`
10 284×	`lower-fma.f32`
9 722×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	712	7824
1	2191	6609
2	7207	6556
0	8100	6232
0	847	9591
1	2632	7652
0	8553	7284
0	769	8775
1	2420	7336
2	7420	7252
0	8231	6848
0	306	1849
1	911	1570
2	2914	1447
3	7134	1410
0	8388	1352
0	13	39
0	22	39
1	65	39
2	320	39
3	2355	37
0	8649	29
0	92	530
0	145	498
1	582	431
2	4505	324
0	8470	303
0	46	277
0	87	174
1	272	174
2	1861	158
0	9321	153

Stop Event

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

Compiler

Compiled 1 863 to 976 computations (47.6% saved)

preprocess394.0ms (2.7%)

Memory

-9.7MiB live, 150.6MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 668 to 524 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze315.0ms (2.2%)

sample2.1s (14.6%)

explain135.0ms (0.9%)

preprocess46.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize38.0ms (0.3%)

series55.0ms (0.4%)

simplify253.0ms (1.7%)

rewrite218.0ms (1.5%)

eval31.0ms (0.2%)

prune86.0ms (0.6%)

simplify448.0ms (3.1%)

localize185.0ms (1.3%)

series156.0ms (1.1%)

simplify336.0ms (2.3%)

rewrite416.0ms (2.9%)

eval154.0ms (1.1%)

prune258.0ms (1.8%)

simplify271.0ms (1.9%)

localize352.0ms (2.4%)

series176.0ms (1.2%)

simplify386.0ms (2.6%)

rewrite512.0ms (3.5%)

eval179.0ms (1.2%)

prune319.0ms (2.2%)

simplify238.0ms (1.6%)

localize343.0ms (2.3%)

series219.0ms (1.5%)

simplify437.0ms (3%)

rewrite468.0ms (3.2%)

eval194.0ms (1.3%)

prune534.0ms (3.7%)

regimes375.0ms (2.6%)

regimes242.0ms (1.7%)

regimes195.0ms (1.3%)

regimes399.0ms (2.7%)

regimes157.0ms (1.1%)

regimes155.0ms (1.1%)

regimes129.0ms (0.9%)

regimes121.0ms (0.8%)

regimes113.0ms (0.8%)

regimes75.0ms (0.5%)

regimes81.0ms (0.6%)

regimes20.0ms (0.1%)

regimes60.0ms (0.4%)

regimes6.0ms (0%)

regimes48.0ms (0.3%)

regimes41.0ms (0.3%)

regimes36.0ms (0.2%)

regimes21.0ms (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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

soundness2.0s (13.7%)

preprocess394.0ms (2.7%)

end0.0ms (0%)

Profiling