Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze273.0ms (2.7%)

Memory

-22.0MiB live, 590.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample2.0s (19.6%)

Memory

-4.4MiB live, 2 070.1MiB allocated

Samples

1.4s	8 256×	0	valid
5.0ms	5×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

const: 314.0ms (27.5% of total)

ival-<=: 178.0ms (15.6% of total)

ival-cosu: 170.0ms (14.9% of total)

ival-log: 156.0ms (13.6% of total)

ival-mult: 86.0ms (7.5% of total)

ival-sub: 72.0ms (6.3% of total)

ival-sqrt: 53.0ms (4.6% of total)

ival-neg: 40.0ms (3.5% of total)

ival-and: 35.0ms (3.1% of total)

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

exact: 6.0ms (0.5% of total)

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

Bogosity

explain137.0ms (1.4%)

Memory

-25.3MiB live, 233.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
196	-	196	(0.9999482035636902 2.369945650571026e-5 1.2479878932936117e-5)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	-	0	-	`u2`
0	-	0	-	`(PI.f32)`
0	-	0	-	`#s(literal 2 binary32)`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	-	0	-	`u1`
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	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Confusion

	Predicted +	Predicted -
+	0	194
-	0	62

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	194
-	0	0	62

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

61.0ms

512×

valid

Compiler

Compiled 167 to 89 computations (46.7% saved)

Precisions

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

ival-mult: 16.0ms (36.9% of total)

ival-cosu: 8.0ms (18.4% of total)

ival-log: 8.0ms (18.4% of total)

ival-sub: 3.0ms (6.9% of total)

ival-sqrt: 3.0ms (6.9% of total)

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

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

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

exact: 1.0ms (2.3% of total)

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

preprocess48.0ms (0.5%)

Memory

-8.7MiB live, 69.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 13 to 14 computations (-7.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.5%)

Memory

-16.5MiB live, 96.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.140625	(.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	0.34765625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	14.355710758651133	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

37.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-log: 11.0ms (40.2% of total)

ival-mult: 5.0ms (18.3% of total)

ival-cosu: 4.0ms (14.6% of total)

ival-sqrt: 4.0ms (14.6% of total)

ival-pi: 1.0ms (3.7% of total)

ival-sub: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.6%)

Memory

-7.3MiB live, 115.4MiB allocated

Counts

5 → 72

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
31.0ms	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))
7.0ms	u2	@	-inf	((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
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))
3.0ms	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))
3.0ms	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))

simplify181.0ms (1.8%)

Memory

9.0MiB live, 241.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1737
1	858	1458
2	2729	1335
3	6880	1298
0	8135	1246

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (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)))
(* (* (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)))) (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)))

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

rewrite134.0ms (1.3%)

Memory

21.7MiB live, 175.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 228

Calls

Call 1

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

Outputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))
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(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 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32))
(exp.f32 (fma.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32) (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))))
(exp.f32 (fma.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)))
(log.f32 (exp.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (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 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (exp.f32 (log.f32 (log1p.f32 u1))))
(/.f32 (exp.f32 (log.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)))) (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1))))))
(/.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))))))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))
(-.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (log1p.f32 u1)) (log1p.f32 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (fabs.f32 (log1p.f32 u1)))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (log.f32 (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) (neg.f32 (log1p.f32 u1)))
(-.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 0 binary32))
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) #s(literal 0 binary32))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32))
(pow.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) #s(literal -1 binary32))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (*.f32 u1 u1)))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log1p.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))
(+.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))))) (log1p.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) (log1p.f32 u1))
(+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(+.f32 (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(exp.f32 (log.f32 (neg.f32 (log1p.f32 u1))))
(neg.f32 (log1p.f32 u1))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 u2 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 u2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 u2 #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 u2 (PI.f32)) #s(literal 2 binary32))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) u2))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(.f32 (PI.f32) (.f32 #s(literal 1 binary32) (*.f32 u2 #s(literal 2 binary32))))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))

eval44.0ms (0.4%)

Memory: -18.4MiB live, 103.7MiB allocated
Compiler: Compiled 6 566 to 1 408 computations (78.6% saved)

prune43.0ms (0.4%)

Memory

29.3MiB live, 106.9MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	292	7	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	292	8	300

Accuracy

92.2%

Counts

300 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.5%	(.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) (PI.f32)) u2)))
▶	43.9%	(.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)))
	51.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
✓	57.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	61.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	3.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 233 to 220 computations (5.6% saved)

simplify39.0ms (0.4%)

Memory

-23.9MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
cost-diff	0	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	128	(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
cost-diff	3488	(sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
cost-diff	0	(log1p.f32 u1)
cost-diff	0	(pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	6144	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
cost-diff	0	#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

452×	`lower-*.f64`
436×	`lower-*.f32`
384×	`lower-fma.f64`
382×	`lower-fma.f32`
144×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	314
0	70	309
1	106	297
2	162	294
3	226	294
4	282	294
5	355	294
6	508	294
7	649	294
8	768	294
9	787	294
10	862	294
11	877	294
12	882	294
13	893	294
14	893	294
0	893	284

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize152.0ms (1.5%)

Memory

-7.2MiB live, 155.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34765625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.4287300293053261	(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
accuracy	0.4342575195368841	(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
accuracy	16.835968252641695	(log1p.f32 u1)
accuracy	0.15625	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.34765625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	0.49351503907376804	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
accuracy	28.99816619274889	(log1p.f32 u1)
accuracy	0.3046875	(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
accuracy	0.34765625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	3.9984443068438567	#s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))
accuracy	7.675546056677096	(fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))
accuracy	0.10702634254663358	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy	0.140625	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.34765625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	30.89326945304244	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.1171875	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	0.140625	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.34765625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	8.120607331507085	#s(approx (log (- 1 u1)) (neg.f32 u1))

Samples

70.0ms

256×

valid

Compiler

Compiled 298 to 36 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 11.0ms (21.5% of total)

ival-sqrt: 6.0ms (11.7% of total)

ival-log1p: 5.0ms (9.8% of total)

ival-neg: 5.0ms (9.8% of total)

ival-pow2: 5.0ms (9.8% of total)

ival-cosu: 4.0ms (7.8% of total)

ival-log: 4.0ms (7.8% of total)

ival-pow: 4.0ms (7.8% of total)

ival-div: 2.0ms (3.9% of total)

ival-pi: 1.0ms (2% of total)

ival-add: 1.0ms (2% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

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

series86.0ms (0.9%)

Memory

40.0MiB live, 146.2MiB allocated

Counts

25 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	u2	@	inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (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))) (log (- 1 u1)) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (log (+ 1 u1)) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (+ (* -1/2 u1) -1) u1) (pow (log (+ 1 u1)) 2))
20.0ms	u1	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (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))) (log (- 1 u1)) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (log (+ 1 u1)) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (+ (* -1/2 u1) -1) u1) (pow (log (+ 1 u1)) 2))
19.0ms	u2	@	-inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (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))) (log (- 1 u1)) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (log (+ 1 u1)) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (+ (* -1/2 u1) -1) u1) (pow (log (+ 1 u1)) 2))
5.0ms	u1	@	inf	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (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))) (log (- 1 u1)) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (log (+ 1 u1)) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (+ (* -1/2 u1) -1) u1) (pow (log (+ 1 u1)) 2))
3.0ms	u1	@	0	((* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (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))) (log (- 1 u1)) (pow (pow (log (+ 1 u1)) 1/4) 2) (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (pow (log (+ 1 u1)) 1/4) (log (+ 1 u1)) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (neg (neg (pow (log (+ 1 u1)) 2))) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (+ (* -1/2 u1) -1) (* (+ (* -1/2 u1) -1) u1) (pow (log (+ 1 u1)) 2))

simplify227.0ms (2.3%)

Memory

-27.6MiB live, 244.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 046×	`lower-fma.f64`
9 046×	`lower-fma.f32`
6 936×	`lower-*.f64`
6 936×	`lower-*.f32`
3 252×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	663	9052
1	2014	7661
2	6981	7576
0	8112	7183

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 356

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))
(* (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)
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(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)))))))
(* -1 u1)
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(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(sqrt u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt 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))))))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(pow (* 1 u1) 1/4)
(+ (* -1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* 23/384 (pow (* 1 (pow u1 5)) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* -39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
u1
(* u1 (+ 1 (* -1/2 u1)))
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u1
(* u1 (+ 1 (* -1/2 u1)))
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(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
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(+ (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))))))))
-1
(- (* -1/2 u1) 1)
(- (* -1/2 u1) 1)
(- (* -1/2 u1) 1)
(* -1 u1)
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* -1 (sqrt u1))
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(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))
(* -1/2 u1)
(* -1 (* u1 (+ 1/2 (/ 1 u1))))
(* -1 (* u1 (+ 1/2 (/ 1 u1))))
(* -1 (* u1 (+ 1/2 (/ 1 u1))))
(* -1/2 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(* -1 (* (pow u1 2) (+ 1/2 (/ 1 u1))))
(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
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(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(sqrt (log (+ 1 u1)))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
(sqrt (log (+ 1 u1)))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
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(+ 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))))
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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 -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(* 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))))
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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 -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))))
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(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (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))))
(* 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
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) #s(literal -1/4 binary32) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
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(fma.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
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(* (sqrt u1) (pow (sqrt -1) 2))
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(-.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1)) (sqrt.f32 u1))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(-.f32 (.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1)) (sqrt.f32 u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* -1 u1)
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(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal -1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
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(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
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(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1)) (.f32 u1 u1) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
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(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32)))

rewrite211.0ms (2.1%)

Memory

-0.8MiB live, 290.0MiB allocated

Rules

4 174×	`lower-fma.f64`
4 172×	`lower-fma.f32`
3 966×	`lower-*.f64`
3 952×	`lower-*.f32`
2 712×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	220
0	70	191
1	189	191
2	887	191
3	7419	191
0	8388	181

Stop Event

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

Counts

25 → 1 026

Calls

Call 1

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

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

eval223.0ms (2.2%)

Memory: 23.2MiB live, 402.4MiB allocated
Compiler: Compiled 43 961 to 5 924 computations (86.5% saved)

prune315.0ms (3.2%)

Memory

-15.7MiB live, 516.1MiB allocated

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	1 900	28	1 928
Fresh	0	2	2
Picked	5	0	5
Done	0	1	1
Total	1 905	31	1 936

Accuracy

98.3%

Counts

1 936 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.1%	(/.f32 (neg.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (log1p.f32 u1))))
	42.1%	(/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal -1/2 binary32)))
▶	76.3%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	76.3%	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	28.0%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.4%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.3%	(.f32 (/.f32 (log1p.f32 (neg.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	30.7%	(.f32 (/.f32 #s(approx (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
✓	57.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	17.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1 binary32) u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32))) (.f32 u1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	87.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))) (/.f32 (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	87.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	6.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (.f32 (/.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/4 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) #s(literal 1 binary32))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	76.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	65.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
	76.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	65.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	45.5%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	61.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	65.8%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 1 085 to 972 computations (10.4% saved)

simplify148.0ms (1.5%)

Memory

9.0MiB live, 80.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff	0	(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))
cost-diff	6432	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
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 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))
cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	64	(-.f32 (*.f32 #s(literal -1/2 binary32) u1) #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	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))))))
cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff	64	(-.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) u1))
cost-diff	64	(-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)))

Rules

1 596×	`lower-fma.f64`
1 596×	`lower-fma.f32`
1 090×	`lower-*.f64`
1 060×	`lower-*.f32`
774×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	424
0	87	424
1	143	413
2	207	412
3	297	400
4	513	400
5	1026	400
6	2190	400
7	2690	400
8	2769	400
9	2790	400
10	2794	400
11	2794	400
12	2886	400
13	2920	400
14	2920	400
15	2920	400
16	2922	400
0	2922	366

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize119.0ms (1.2%)

Memory

18.7MiB live, 207.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	0.34765625	(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
accuracy	0.36556625976844204	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
accuracy	8.120607331507085	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.10702634254663358	(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	0.34765625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	17.080308380465286	(log1p.f32 u1)
accuracy	0.140625	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.3046875	(.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)
accuracy	0.34765625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	3.9984443068438567	#s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1))
accuracy	0	(neg.f32 (sqrt.f32 u1))
accuracy	0.140625	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	5.992651404400621	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	30.89326945304244	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.140625	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy	0.18978500976844204	(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))
accuracy	0.34765625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	3.9984443068438567	#s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))))

Samples

84.0ms

256×

valid

Compiler

Compiled 306 to 40 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 18.0ms (28.5% of total)

ival-log: 9.0ms (14.3% of total)

ival-sub: 8.0ms (12.7% of total)

ival-cos: 5.0ms (7.9% of total)

ival-sqrt: 5.0ms (7.9% of total)

ival-cosu: 4.0ms (6.3% of total)

ival-pow: 4.0ms (6.3% of total)

ival-neg: 3.0ms (4.8% of total)

ival-div: 2.0ms (3.2% of total)

ival-log1p: 2.0ms (3.2% of total)

ival-pi: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series99.0ms (1%)

Memory

-32.7MiB live, 184.9MiB allocated

Counts

28 → 408

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	u2	@	inf	((- 1 (* (* u1 u1) 1/4)) (- -1 (* -1/2 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (log (+ 1 u1)) (cos (* (* 2 (PI)) u2)) (* (pow (neg (log (- 1 u1))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2))))) (pow (neg (log (- 1 u1))) 1/4) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (* 2 (PI)) u2) (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- -1 (* -1/2 u1))) (cos (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (- (* -1/2 u1) 1) u1) (* u2 (* (PI) 2)) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2)))))
22.0ms	u2	@	-inf	((- 1 (* (* u1 u1) 1/4)) (- -1 (* -1/2 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (log (+ 1 u1)) (cos (* (* 2 (PI)) u2)) (* (pow (neg (log (- 1 u1))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2))))) (pow (neg (log (- 1 u1))) 1/4) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (* 2 (PI)) u2) (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- -1 (* -1/2 u1))) (cos (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (- (* -1/2 u1) 1) u1) (* u2 (* (PI) 2)) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2)))))
11.0ms	u1	@	-inf	((- 1 (* (* u1 u1) 1/4)) (- -1 (* -1/2 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (log (+ 1 u1)) (cos (* (* 2 (PI)) u2)) (* (pow (neg (log (- 1 u1))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2))))) (pow (neg (log (- 1 u1))) 1/4) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (* 2 (PI)) u2) (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- -1 (* -1/2 u1))) (cos (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (- (* -1/2 u1) 1) u1) (* u2 (* (PI) 2)) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2)))))
6.0ms	u1	@	inf	((- 1 (* (* u1 u1) 1/4)) (- -1 (* -1/2 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (log (+ 1 u1)) (cos (* (* 2 (PI)) u2)) (* (pow (neg (log (- 1 u1))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2))))) (pow (neg (log (- 1 u1))) 1/4) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (* 2 (PI)) u2) (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- -1 (* -1/2 u1))) (cos (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (- (* -1/2 u1) 1) u1) (* u2 (* (PI) 2)) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2)))))
3.0ms	u1	@	0	((- 1 (* (* u1 u1) 1/4)) (- -1 (* -1/2 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (log (+ 1 u1))) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (log (+ 1 u1)) (cos (* (* 2 (PI)) u2)) (* (pow (neg (log (- 1 u1))) 1/4) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2))))) (pow (neg (log (- 1 u1))) 1/4) (neg (log (- 1 u1))) (log (- 1 u1)) (log (- 1 u1)) (* (* 2 (PI)) u2) (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- -1 (* -1/2 u1))) (cos (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (- (* -1/2 u1) 1) u1) (* u2 (* (PI) 2)) (* (pow (neg (log (- 1 u1))) 1/4) (cos (* u2 (* (PI) 2)))))

simplify286.0ms (2.9%)

Memory

16.0MiB live, 208.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 408×	`lower-fma.f64`
10 408×	`lower-fma.f32`
8 242×	`lower-*.f64`
8 242×	`lower-*.f32`
3 424×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	771	9652
1	2378	8206
0	8352	7789

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 405

Calls

Call 1

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

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

rewrite226.0ms (2.3%)

Memory

0.9MiB live, 194.1MiB allocated

Rules

7 440×	`lower-fma.f64`
7 440×	`lower-fma.f32`
5 450×	`lower-*.f64`
5 422×	`lower-*.f32`
3 124×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	313
0	87	345
1	225	270
2	1199	269
0	9050	243

Stop Event

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

Counts

28 → 897

Calls

Call 1

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

Outputs
(.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/4 binary32) (*.f32 u1 u1) #s(literal -1 binary32))))
(.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal 1 binary32))))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))
(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 4 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (*.f32 u1 u1) #s(literal -1 binary32))))
(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal 1 binary32)))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)))
(.f32 #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)))
(.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)))) (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))))) (+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 #s(literal -1/4 binary32) (*.f32 u1 u1) #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal 1 binary32))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 #s(literal -1/4 binary32) (*.f32 u1 u1) #s(literal -1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))) (fma.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal 1 binary32))))))))
(/.f32 (fma.f32 #s(literal -1/64 binary32) (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 4 binary32)))) (neg.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) #s(literal -1 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) #s(literal 4 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 4 binary32))) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) #s(literal 6 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 4 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) #s(literal 6 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) #s(literal 9 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32)) (fma.f32 #s(literal 1/64 binary32) (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))) (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 4 binary32)))) (.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32)))) (.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))))
(/.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) #s(literal -1 binary32)) (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 u1 u1)) #s(literal 1 binary32)))
(/.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal -1/4 binary32) (*.f32 u1 u1) #s(literal -1 binary32)))
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32)) (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 4 binary32))) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32)))) (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 4 binary32))) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 6 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))))
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(+.f32 (.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)))))) (.f32 (.f32 u1 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)))))))
(+.f32 (.f32 (.f32 #s(literal -1/4 binary32) (*.f32 u1 u1)) (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))))
(+.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))) (.f32 #s(literal -1/2 binary32) u1)) (.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (fma.f32 #s(literal -1/4 binary32) (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)))
(+.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))) (*.f32 #s(literal -1/2 binary32) u1)))
(+.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))) (.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (.f32 #s(literal 1/2 binary32) u1)))
(+.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (.f32 u1 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/2 binary32)))) (.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal 1 binary32)) (.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 u1 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/2 binary32)))))
(+.f32 (.f32 (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1))) (.f32 (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1))))
(+.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))) u1) (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))) (*.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(+.f32 (.f32 (.f32 #s(literal -1/2 binary32) u1) u1) (neg.f32 u1))
(+.f32 (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) (.f32 (.f32 #s(literal -1/4 binary32) (*.f32 u1 u1)) (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32)))))
(+.f32 (/.f32 u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))) (.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(+.f32 (neg.f32 u1) (.f32 (.f32 #s(literal -1/2 binary32) u1) u1))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))) u1)) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))) u1)))
(neg.f32 (.f32 #s(literal 1 binary32) (neg.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1))))
(neg.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (.f32 u2 (PI.f32)) #s(literal 2 binary32))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) u2))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32))
(.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)
(.f32 (PI.f32) (.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32))) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32))) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)))
(.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32))) (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32))) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/8 binary32)))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 #s(literal -1 binary32) #s(literal 1/4 binary32))) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/4 binary32)))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32))) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/16 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/8 binary32)) (.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/8 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/4 binary32)) (.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)))

eval279.0ms (2.8%)

Memory: 3.1MiB live, 238.5MiB allocated
Compiler: Compiled 43 229 to 5 003 computations (88.4% saved)

prune348.0ms (3.5%)

Memory

16.0MiB live, 410.6MiB allocated

Pruning

44 alts after pruning (40 fresh and 4 done)

	Pruned	Kept	Total
New	1 484	20	1 504
Fresh	5	20	25
Picked	2	3	5
Done	0	1	1
Total	1 491	44	1 535

Accuracy

98.7%

Counts

1 535 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.1%	(/.f32 (neg.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (log1p.f32 u1))))
	42.1%	(/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal -1/2 binary32)))
	76.1%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	76.1%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))))
	74.9%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	76.3%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 #s(approx (pow (neg (log (- 1 u1))) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	76.3%	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	45.0%	(.f32 (/.f32 (sqrt.f32 #s(approx (neg (neg (pow (log (+ 1 u1)) 2))) (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	44.7%	(.f32 (/.f32 (log1p.f32 (neg.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	30.2%	(.f32 (/.f32 #s(approx (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
✓	57.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	0.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 (/.f32 u1 (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) (.f32 (.f32 #s(literal -1/4 binary32) (.f32 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)))
	61.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) (.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	17.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1 binary32) u1 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	5.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 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)))
	71.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (.f32 u1 u1) #s(literal -1/4 binary32) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (fma.f32 #s(literal -1/2 binary32) (neg.f32 u1) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	73.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	89.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	69.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) u1) u1 #s(literal 0 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
▶	87.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	87.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
✓	87.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	73.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	6.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (.f32 (/.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/4 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) #s(literal 1 binary32))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	65.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
	76.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
▶	65.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	44.7%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	60.5%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	65.8%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 1 635 to 1 415 computations (13.5% saved)

simplify546.0ms (5.5%)

Memory

0.7MiB live, 154.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

26 288×	`lower-fma.f64`
26 284×	`lower-fma.f32`
4 164×	`lower-+.f64`
4 164×	`lower-+.f32`
3 596×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	511
0	104	505
1	164	499
2	267	499
3	408	499
4	639	499
5	957	499
6	1790	499
7	2941	499
8	4279	499
9	5286	499
10	6076	499
11	6345	499
12	6567	499
13	6616	499
14	6619	499
15	6627	499
16	6737	499
17	6737	499
0	8701	465

Stop Event

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

Calls

Call 1

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

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

localize274.0ms (2.7%)

Memory

18.1MiB live, 178.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)
accuracy	0.34765625	(*.f32 u2 (PI.f32))
accuracy	0.47103500976844204	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))
accuracy	3.9984443068438567	#s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1))
accuracy	0.4342575195368841	(/.f32 #s(approx (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (sqrt.f32 (log1p.f32 u1)))
accuracy	3.9510634067792463	#s(approx (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))
accuracy	11.780795059774743	(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))
accuracy	19.25637097489995	(log1p.f32 u1)
accuracy	0.3046875	(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
accuracy	0.34765625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	3.9984443068438567	#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))
accuracy	7.675546056677096	(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
accuracy	0.1171875	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy	0.140625	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy	5.992651404400621	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy	8.120607331507085	#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy	0.18978500976844204	(/.f32 (.f32 #s(approx (- 1 ( (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) u1)))
accuracy	0.34765625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy	3.975367870468451	#s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32))
accuracy	3.9984443068438567	#s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 ( (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) u1))))

Samples

206.0ms

256×

valid

Compiler

Compiled 363 to 50 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-cosu: 95.0ms (51.4% of total)

ival-mult: 30.0ms (16.2% of total)

ival-log: 24.0ms (13% of total)

ival-pow2: 7.0ms (3.8% of total)

ival-sub: 6.0ms (3.2% of total)

ival-sqrt: 5.0ms (2.7% of total)

ival-sinu: 4.0ms (2.2% of total)

ival-neg: 4.0ms (2.2% of total)

ival-div: 3.0ms (1.6% of total)

ival-add: 2.0ms (1.1% of total)

ival-log1p: 2.0ms (1.1% of total)

ival-pi: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series91.0ms (0.9%)

Memory

0.8MiB live, 157.7MiB allocated

Counts

32 → 444

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	u1	@	0	((- -1 (* -1/2 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* 1/2 u1) 1) u1) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (* (+ (* -1/2 u1) 1) u1) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (- 1 (* (* u1 u1) 1/4)) (* (* 2 (PI)) u2) (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- -1 (* -1/2 u1))) (cos (* (* 2 (PI)) u2)) (+ (* 1/2 u1) 1) (log (+ 1 u1)) (+ (* -1/2 u1) 1) (log (- 1 u1)) (pow (sin (* u2 (PI))) 2) (* u2 (PI)) (* (- (* -1/2 u1) 1) u1))
20.0ms	u2	@	inf	((- -1 (* -1/2 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* 1/2 u1) 1) u1) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (* (+ (* -1/2 u1) 1) u1) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (- 1 (* (* u1 u1) 1/4)) (* (* 2 (PI)) u2) (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- -1 (* -1/2 u1))) (cos (* (* 2 (PI)) u2)) (+ (* 1/2 u1) 1) (log (+ 1 u1)) (+ (* -1/2 u1) 1) (log (- 1 u1)) (pow (sin (* u2 (PI))) 2) (* u2 (PI)) (* (- (* -1/2 u1) 1) u1))
17.0ms	u2	@	-inf	((- -1 (* -1/2 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* 1/2 u1) 1) u1) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (* (+ (* -1/2 u1) 1) u1) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (- 1 (* (* u1 u1) 1/4)) (* (* 2 (PI)) u2) (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- -1 (* -1/2 u1))) (cos (* (* 2 (PI)) u2)) (+ (* 1/2 u1) 1) (log (+ 1 u1)) (+ (* -1/2 u1) 1) (log (- 1 u1)) (pow (sin (* u2 (PI))) 2) (* u2 (PI)) (* (- (* -1/2 u1) 1) u1))
5.0ms	u1	@	-inf	((- -1 (* -1/2 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* 1/2 u1) 1) u1) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (* (+ (* -1/2 u1) 1) u1) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (- 1 (* (* u1 u1) 1/4)) (* (* 2 (PI)) u2) (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- -1 (* -1/2 u1))) (cos (* (* 2 (PI)) u2)) (+ (* 1/2 u1) 1) (log (+ 1 u1)) (+ (* -1/2 u1) 1) (log (- 1 u1)) (pow (sin (* u2 (PI))) 2) (* u2 (PI)) (* (- (* -1/2 u1) 1) u1))
3.0ms	u1	@	inf	((- -1 (* -1/2 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (+ (* 1/2 u1) 1) u1) (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (* (+ (* -1/2 u1) 1) u1) (- (* -1/2 u1) 1) (* (sqrt (neg (log (- 1 u1)))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (log (- 1 u1)) (- 1 (* (* u1 u1) 1/4)) (* (* 2 (PI)) u2) (/ (* (- 1 (* (* u1 u1) 1/4)) u1) (- -1 (* -1/2 u1))) (cos (* (* 2 (PI)) u2)) (+ (* 1/2 u1) 1) (log (+ 1 u1)) (+ (* -1/2 u1) 1) (log (- 1 u1)) (pow (sin (* u2 (PI))) 2) (* u2 (PI)) (* (- (* -1/2 u1) 1) u1))

simplify228.0ms (2.3%)

Memory

2.5MiB live, 283.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 294×	`lower-fma.f64`
10 294×	`lower-fma.f32`
7 750×	`lower-*.f64`
7 750×	`lower-*.f32`
3 616×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	648	9303
1	1988	7961
2	6544	7501
0	8088	7073

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 436

Calls

Call 1

Inputs
-1
(- (* 1/2 u1) 1)
(- (* 1/2 u1) 1)
(- (* 1/2 u1) 1)
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
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(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(sqrt (log (+ 1 u1)))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (sqrt (log (- 1 u1)))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (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)))))))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (+ (* 1/36 (pow (PI) 6)) (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))))))) (pow (PI) 2)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 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))))
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 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))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 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))))
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(pow (sin (* u2 (PI))) 2)
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))

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

rewrite335.0ms (3.4%)

Memory

-2.0MiB live, 228.7MiB allocated

Rules

4 338×	`lower-*.f64`
4 314×	`lower-*.f32`
3 992×	`lower-/.f64`
3 988×	`lower-/.f32`
2 304×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	398
0	104	392
1	290	376
2	1734	376
0	8753	343

Stop Event

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

Counts

32 → 975

Calls

Call 1

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

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

eval268.0ms (2.7%)

Memory: 0.6MiB live, 276.0MiB allocated
Compiler: Compiled 43 869 to 5 432 computations (87.6% saved)

prune587.0ms (5.9%)

Memory

9.2MiB live, 580.7MiB allocated

Pruning

53 alts after pruning (46 fresh and 7 done)

	Pruned	Kept	Total
New	1 453	16	1 469
Fresh	5	30	35
Picked	1	4	5
Done	1	3	4
Total	1 460	53	1 513

Accuracy

98.8%

Counts

1 513 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(/.f32 (.f32 #s(approx (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
	42.1%	(/.f32 (neg.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (log1p.f32 u1))))
	42.1%	(/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal -1/2 binary32)))
	42.0%	(/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) #s(approx (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
	65.8%	(.f32 (pow.f32 (.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	76.1%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))))
	76.3%	(.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (.f32 #s(approx (pow (neg (log (- 1 u1))) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	76.3%	(.f32 (pow.f32 #s(approx (pow (log (+ 1 u1)) 1/4) (pow.f32 u1 #s(literal 1/4 binary32))) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	42.9%	(.f32 (/.f32 (log1p.f32 (neg.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.8%	(.f32 (/.f32 #s(approx (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (sqrt.f32 #s(approx (log (+ 1 u1)) (fma.f32 (.f32 #s(literal -1/2 binary32) u1) u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.5%	(.f32 (/.f32 #s(approx (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (sqrt.f32 #s(approx (log (+ 1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.8%	(.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
✓	57.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	0.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 (/.f32 u1 (fma.f32 #s(literal -1/4 binary32) (.f32 u1 u1) #s(literal 1 binary32))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) (.f32 (.f32 #s(literal -1/4 binary32) (.f32 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)))
	61.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) (.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	5.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 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)))
	70.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (.f32 u1 u1) #s(literal -1/4 binary32) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (fma.f32 #s(literal -1/2 binary32) (neg.f32 u1) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))))
	73.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	61.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (fma.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	61.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (fma.f32 #s(literal -1/2 binary32) (neg.f32 u1) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 #s(literal 1/2 binary32) u1))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) (.f32 #s(literal 1/2 binary32) u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	89.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	70.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (-.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) u1) u1 #s(literal 0 binary32)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))
	87.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u2))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32))))
✓	87.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	87.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
	80.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) #s(approx (pow (sin (* u2 (PI))) 2) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2))))
	87.2%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	73.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	73.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	10.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(literal 1/4 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))))) u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))
	6.5%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (.f32 (/.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/4 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) #s(literal 1 binary32))) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))
	65.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (fma.f32 u2 (PI.f32) (.f32 u2 (PI.f32)))))
	76.4%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
✓	65.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	45.4%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	1.0%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 #s(literal 1 binary32) u1 (.f32 (.f32 u1 #s(literal -1/2 binary32)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.9%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	61.9%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.8%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.5%	(.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	4.9%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	65.8%	#s(approx (* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
	65.8%	#s(approx (* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 2 502 to 1 279 computations (48.9% saved)

regimes268.0ms (2.7%)

Memory

-31.2MiB live, 528.3MiB allocated

Counts

72 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

51.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
44.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
23.0ms	u1
23.0ms	(-.f32 #s(literal 1 binary32) u1)
21.0ms	u2

Results

Accuracy	Segments	Branch
89.7%	1	`cosTheta_i`
98.0%	2	`u1`
89.7%	1	`u2`
97.8%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
89.7%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
89.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes103.0ms (1%)

Memory

7.6MiB live, 290.5MiB allocated

Counts

67 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

22.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
21.0ms	u1
20.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
19.0ms	(-.f32 #s(literal 1 binary32) u1)
17.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
98.0%	2	`u1`
98.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.0%	2	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes111.0ms (1.1%)

Memory

-0.3MiB live, 237.5MiB allocated

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

21.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
20.0ms	u2
12.0ms	u1
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
12.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
89.7%	1	`u2`
89.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
89.7%	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)))`
89.7%	1	`u1`
89.7%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
89.7%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
89.7%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
89.7%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 38 to 53 computations (-39.5% saved)

regimes87.0ms (0.9%)

Memory

16.4MiB live, 171.5MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

10 calls:

11.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms	cosTheta_i
10.0ms	u2
9.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
87.9%	1	`cosTheta_i`
87.9%	1	`u1`
87.9%	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)))`
87.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
87.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
87.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
87.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
87.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
87.9%	1	`u2`
87.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes63.0ms (0.6%)

Memory

0.6MiB live, 122.7MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

10 calls:

9.0ms	(-.f32 #s(literal 1 binary32) u1)
8.0ms	u1
7.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	cosTheta_i
6.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
87.8%	1	`cosTheta_i`
87.8%	1	`u1`
87.8%	1	`u2`
87.8%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
87.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
87.8%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
87.8%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
87.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
87.8%	1	`(-.f32 #s(literal 1 binary32) u1)`
87.8%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes66.0ms (0.7%)

Memory

0.9MiB live, 135.0MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

15.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
7.0ms	(-.f32 #s(literal 1 binary32) u1)
6.0ms	u1
5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
83.5%	2	`u2`
83.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
81.3%	2	`u1`
82.3%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
81.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
81.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
76.5%	1	`cosTheta_i`
81.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
81.3%	2	`(-.f32 #s(literal 1 binary32) u1)`
83.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes46.0ms (0.5%)

Memory

-0.9MiB live, 120.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

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

Results

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

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes32.0ms (0.3%)

Memory

-10.9MiB live, 67.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
73.3%	1	`u2`
73.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
73.3%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
73.3%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
73.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
73.3%	1	`u1`
73.3%	1	`cosTheta_i`
73.3%	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)))`
73.3%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
73.3%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes21.0ms (0.2%)

Memory

11.9MiB live, 50.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

10 calls:

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

Results

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

Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes17.0ms (0.2%)

Memory

-4.5MiB live, 36.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

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)))
1.0ms	u2
1.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms	cosTheta_i
1.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
4.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
4.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
4.9%	1	`cosTheta_i`
4.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
4.9%	1	`u1`
4.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
4.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
4.9%	1	`u2`
4.9%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
4.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 45 to 64 computations (-42.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.994271457195282	0.9943984746932983

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.994271457195282	0.9943984746932983

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999858736991882	0.9999939799308777

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify53.0ms (0.5%)

Memory

-30.1MiB live, 86.2MiB allocated

Algorithm

1×	egg-herbie

Rules

72×	`-commutative-binary32-.f32`
38×	`+-commutative-binary32-+.f32`
36×	`sub-neg-binary32-neg.f32-+.f32--.f32`
26×	`neg-mul-1-binary32-*.f32-neg.f32`
26×	`neg-sub0-binary32--.f32-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	328
1	153	328
2	193	328
3	215	328
4	221	328
5	222	328

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8340793/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #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 8340793/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 ( (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #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 (.f32 #s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #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))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 #s(literal -1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 2097131/2097152 binary32)) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #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 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #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 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8340793/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #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 8340793/8388608 binary32)) (.f32 (cos.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) u2)) (cbrt.f32 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) u1))))))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8340793/8388608 binary32)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 ( (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #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 8340793/8388608 binary32)) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 ( (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) u1))))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 #s(approx (- 1 (* (* u1 u1) 1/4)) #s(literal 1 binary32)) u1) (-.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) u1)))))))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) u1))) (cos.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (.f32 (-.f32 #s(literal 1 binary32) (.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))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) u1)) u1))) (cos.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 2097131/2097152 binary32)) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2)) #s(literal 2097131/2097152 binary32)) (.f32 #s(approx (pow (pow (log (+ 1 u1)) 1/4) 2) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u2))) (.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1))))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #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 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 1/4 binary32))) u1) (-.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) u1)))))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))

soundness984.0ms (9.9%)

Memory

24.8MiB live, 1 129.7MiB allocated

Rules

10 408×	`lower-fma.f64`
10 408×	`lower-fma.f32`
9 270×	`lower-fma.f64`
9 270×	`lower-fma.f32`
9 046×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	220
0	70	191
1	189	191
2	887	191
3	7419	191
0	8388	181
0	289	1737
1	858	1458
2	2729	1335
3	6880	1298
0	8135	1246
0	663	9052
1	2014	7661
2	6981	7576
0	8112	7183
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23
0	67	398
0	104	392
1	290	376
2	1734	376
0	8753	343
0	771	9652
1	2378	8206
0	8352	7789

Stop Event

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

Compiler

Compiled 675 to 523 computations (22.5% saved)

preprocess98.0ms (1%)

Memory

10.8MiB live, 276.6MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 376 to 866 computations (37.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	41	314
0	70	309
1	106	297
2	162	294
3	226	294
4	282	294
5	355	294
6	508	294
7	649	294
8	768	294
9	787	294
10	862	294
11	877	294
12	882	294
13	893	294
14	893	294
0	893	284

Iter	Nodes	Cost
0	41	314
0	70	309
1	106	297
2	162	294
3	226	294
4	282	294
5	355	294
6	508	294
7	649	294
8	768	294
9	787	294
10	862	294
11	877	294
12	882	294
13	893	294
14	893	294
0	893	284

start0.0ms (0%)

analyze273.0ms (2.7%)

sample2.0s (19.6%)

explain137.0ms (1.4%)

preprocess48.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize47.0ms (0.5%)

series56.0ms (0.6%)

simplify181.0ms (1.8%)

rewrite134.0ms (1.3%)

eval44.0ms (0.4%)

prune43.0ms (0.4%)

simplify39.0ms (0.4%)

localize152.0ms (1.5%)

series86.0ms (0.9%)

simplify227.0ms (2.3%)

rewrite211.0ms (2.1%)

eval223.0ms (2.2%)

prune315.0ms (3.2%)

simplify148.0ms (1.5%)

localize119.0ms (1.2%)

series99.0ms (1%)

simplify286.0ms (2.9%)

rewrite226.0ms (2.3%)

eval279.0ms (2.8%)

prune348.0ms (3.5%)

simplify546.0ms (5.5%)

localize274.0ms (2.7%)

series91.0ms (0.9%)

simplify228.0ms (2.3%)

rewrite335.0ms (3.4%)

eval268.0ms (2.7%)

prune587.0ms (5.9%)

regimes268.0ms (2.7%)

regimes103.0ms (1%)

regimes111.0ms (1.1%)

regimes87.0ms (0.9%)

regimes63.0ms (0.6%)

regimes66.0ms (0.7%)

regimes46.0ms (0.5%)

regimes32.0ms (0.3%)

regimes21.0ms (0.2%)

regimes17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify53.0ms (0.5%)

soundness984.0ms (9.9%)

preprocess98.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	41	314
0	70	309
1	106	297
2	162	294
3	226	294
4	282	294
5	355	294
6	508	294
7	649	294
8	768	294
9	787	294
10	862	294
11	877	294
12	882	294
13	893	294
14	893	294
0	893	284