Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze337.0ms (2.7%)

Memory

22.7MiB live, 740.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.2s (17.6%)

Memory

-107.2MiB live, 2 754.2MiB allocated

Samples

1.5s	8 256×	0	valid
0.0ms	3×	0	invalid

Precisions

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

const: 277.0ms (23.2% of total)

ival-mult: 180.0ms (15.1% of total)

ival-<=: 168.0ms (14.1% of total)

ival-log: 165.0ms (13.8% of total)

ival-cos: 114.0ms (9.5% of total)

ival-neg: 68.0ms (5.7% of total)

ival-sqrt: 61.0ms (5.1% of total)

ival-sub: 55.0ms (4.6% of total)

ival-pi: 37.0ms (3.1% of total)

ival-and: 32.0ms (2.7% of total)

ival->: 26.0ms (2.2% of total)

exact: 10.0ms (0.8% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

preprocess58.0ms (0.5%)

Memory

-13.0MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

explain206.0ms (1.7%)

Memory

6.1MiB live, 275.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
204	6	(0.999913215637207 0.003920201677829027 9.197227655022289e-7)	1	(0.9999904036521912 0.010117131285369396 3.1478503359494425e-8)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	1	(0.9999369382858276 1.608032289368566e-5 0.24522098898887634)	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	209	7

Confusion

	Predicted +	Predicted -
+	200	0
-	9	47

Precision

0.9569377990430622

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	200	0	0
-	9	7	40

Precision?

0.9259259259259259

Recall?

1.0

Freqs

test

number	freq
0	47
1	209

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions

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

ival-mult: 9.0ms (26% of total)

ival-log: 8.0ms (23.1% of total)

ival-cos: 6.0ms (17.3% of total)

ival-sub: 3.0ms (8.7% of total)

ival-sqrt: 3.0ms (8.7% of total)

ival-pi: 2.0ms (5.8% of total)

ival-neg: 2.0ms (5.8% of total)

ival-true: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify7.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (0.4%)

Memory

-10.2MiB live, 75.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	55.1%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

39.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-log: 16.0ms (53.1% of total)

ival-mult: 4.0ms (13.3% of total)

ival-cos: 4.0ms (13.3% of total)

ival-sqrt: 2.0ms (6.6% of total)

ival-pi: 1.0ms (3.3% of total)

ival-sub: 1.0ms (3.3% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series71.0ms (0.6%)

Memory

-9.8MiB live, 64.0MiB allocated

Counts

5 → 72

Calls

Call 1

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

Outputs
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<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)))))))))>
#<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)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<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)))))))>
#<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))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<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))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

simplify346.0ms (2.8%)

Memory

-10.1MiB live, 364.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

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

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

rewrite232.0ms (1.9%)

Memory

26.4MiB live, 215.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 228

Calls

Call 1

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

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

eval38.0ms (0.3%)

Memory: 19.5MiB live, 55.7MiB allocated
Compiler: Compiled 7 051 to 1 364 computations (80.7% saved)

prune115.0ms (0.9%)

Memory

-36.7MiB live, 133.2MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	277	22	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	277	23	300

Accuracy

99.7%

Counts

300 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.3%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.3%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	54.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	57.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.7%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	74.4%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	3.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 1 114 to 782 computations (29.8% saved)

simplify486.0ms (3.9%)

Memory

15.9MiB live, 371.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 (log1p.f32 u1))
✓	cost-diff	0	(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
✓	cost-diff	0	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	6240	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
✓	cost-diff	64	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓	cost-diff	64	(.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))
✓	cost-diff	64	(neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	96	(-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))
✓	cost-diff	0	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	cost-diff	0	(neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
✓	cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(neg.f32 (sqrt.f32 u1))
✓	cost-diff	0	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
✓	cost-diff	0	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

16 736×	`lower-fma.f64`
16 732×	`lower-fma.f32`
4 368×	`lower-+.f64`
4 366×	`lower-+.f32`
2 888×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	417
0	85	407
1	149	405
2	279	390
3	553	390
4	1007	390
5	1771	390
6	2681	390
7	3239	390
8	3569	390
9	3779	390
10	3884	390
11	4404	390
12	5039	390
13	5220	390
14	5367	390
15	5457	390
16	5461	390
17	5475	390
18	5517	390
19	5531	390
20	5537	390
21	5541	390
22	7710	390
23	7712	390
24	7718	390
25	7718	390
0	8285	372

Stop Event

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

Calls

Call 1

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

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

localize229.0ms (1.9%)

Memory

-9.8MiB live, 311.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.3%	(PI.f32)
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	96.5%	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
✓	accuracy	98.9%	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	98.6%	(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
✓	accuracy	54.9%	(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	52.1%	(log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))))
✓	accuracy	99.3%	(PI.f32)
✓	accuracy	99.0%	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	92.4%	#s(approx (log (- 1 u1)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	accuracy	99.7%	(.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	99.3%	(PI.f32)
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	4.2%	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
✓	accuracy	99.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.3%	(PI.f32)
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Samples

97.0ms	254×	0	valid
2.0ms	2×	5	exit

Compiler

Compiled 394 to 48 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 24.0ms (32.2% of total)

ival-log: 14.0ms (18.8% of total)

ival-sqrt: 6.0ms (8% of total)

ival-neg: 6.0ms (8% of total)

ival-log1p: 5.0ms (6.7% of total)

const: 4.0ms (5.4% of total)

ival-sub: 4.0ms (5.4% of total)

ival-add: 4.0ms (5.4% of total)

ival-exp: 3.0ms (4% of total)

ival-cos: 3.0ms (4% of total)

adjust: 1.0ms (1.3% of total)

ival-pi: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series61.0ms (0.5%)

Memory

-11.8MiB live, 109.2MiB allocated

Counts

27 → 360

Calls

Call 1

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

Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<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)))))))))>
#<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)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<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)))))))>
#<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))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<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))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<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)))))))))>
#<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)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<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)))))))>
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#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* -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)))))))>
#<alt (sqrt (log (+ 1 u1)))>
#<alt (+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))>
#<alt (+ (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))))))))>
#<alt (+ (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))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* 1/2 (log u1))>
#<alt (+ (* -1/4 u1) (* 1/2 (log u1)))>
#<alt (+ (* 1/2 (log u1)) (* u1 (- (* 5/48 u1) 1/4)))>
#<alt (+ (* 1/2 (log u1)) (* u1 (- (* u1 (+ 5/48 (* -1/16 u1))) 1/4)))>
#<alt (* 1/2 (log (* -1 (log (/ 1 u1)))))>
#<alt (- (* 1/2 (log (* -1 (log (/ 1 u1))))) (* 1/2 (/ 1 (* u1 (log (/ 1 u1))))))>
#<alt (- (+ (* 1/4 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))) (* 1/2 (log (* -1 (log (/ 1 u1)))))) (/ 1/2 (* u1 (log (/ 1 u1)))))>
#<alt (- (+ (* 1/12 (/ (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))) (pow u1 3))) (+ (* 1/4 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))) (* 1/2 (log (* -1 (log (/ 1 u1))))))) (/ 1/2 (* u1 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))) (* 1/2 (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ (* -1 (/ (- (* 1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/12 (/ (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (log u1)>
#<alt (+ (log u1) (* -1/2 u1))>
#<alt (+ (log u1) (* u1 (- (* 5/24 u1) 1/2)))>
#<alt (+ (log u1) (* u1 (- (* u1 (+ 5/24 (* -1/8 u1))) 1/2)))>
#<alt (log (* -1 (log (/ 1 u1))))>
#<alt (- (log (* -1 (log (/ 1 u1)))) (/ 1 (* u1 (log (/ 1 u1)))))>
#<alt (- (+ (log (* -1 (log (/ 1 u1)))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2)))) (/ 1 (* u1 (log (/ 1 u1)))))>
#<alt (- (+ (log (* -1 (log (/ 1 u1)))) (+ (* 1/6 (/ (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))) (pow u1 3))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))))) (/ 1 (* u1 (log (/ 1 u1)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* 1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))>
#<alt (+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* -1/3 (pow u1 3))>
#<alt (* -1 (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))>
#<alt (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))>
#<alt (* -1/3 (pow u1 3))>
#<alt (* -1 (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))))>
#<alt (* -1 (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))))>
#<alt u1>
#<alt (* u1 (+ 1 (* -3/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 3/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -3/4 u1))) 3/2))))>
#<alt (+ (log -1) (* -3 (log (/ 1 u1))))>
#<alt (+ (log -1) (+ (* -3 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (/ 1 u1))) (/ 3/2 (pow u1 2)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (/ 3/2 (pow u1 2)))>
#<alt (* -3 (log (/ -1 u1)))>
#<alt (+ (* -3 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 3/2) u1)) 1) u1)))>
#<alt (* 2 u1)>
#<alt (* u1 (+ 2 (* -1 u1)))>
#<alt (* u1 (+ 2 (* u1 (- (* 2/3 u1) 1))))>
#<alt (* u1 (+ 2 (* u1 (- (* u1 (+ 2/3 (* -1/2 u1))) 1))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1))) (/ 1 (pow u1 2)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (* 2 (/ 1 u1)) (* 2/3 (/ 1 (pow u1 3))))) (/ 1 (pow u1 2)))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* 2 (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (/ 1 u1) 2) u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 u1)) 1) u1)) 2) u1)))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (* -3 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (* -3 (log (/ -1 u1))) (+ (* -2 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -2 (log (/ -1 u1))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>

Calls

90 calls:

Time	Variable		Point	Expression
23.0ms	u2	@	0	(* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2)))
15.0ms	u2	@	inf	(* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2)))
1.0ms	u2	@	-inf	(* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	-inf	(* (log (log (+ 1 u1))) 1/2)
1.0ms	u1	@	inf	(* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2)))

simplify313.0ms (2.5%)

Memory

45.6MiB live, 552.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 474×	`lower-fma.f64`
9 474×	`lower-fma.f32`
6 818×	`lower-*.f64`
6 818×	`lower-*.f32`
3 826×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	737	7969
1	2267	6801
2	6872	6692
0	8112	6341

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

rewrite314.0ms (2.6%)

Memory

-16.0MiB live, 670.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 384×	`lower-fma.f64`
4 380×	`lower-fma.f32`
3 614×	`lower-/.f64`
3 614×	`lower-/.f32`
3 480×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	260
0	81	209
1	246	206
2	1598	194
0	8779	189

Stop Event

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

Counts

27 → 854

Calls

Call 1

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

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

eval325.0ms (2.6%)

Memory: 22.5MiB live, 369.2MiB allocated
Compiler: Compiled 57 320 to 5 858 computations (89.8% saved)

prune354.0ms (2.9%)

Memory

-15.2MiB live, 357.8MiB allocated

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	1 464	34	1 498
Fresh	14	3	17
Picked	4	1	5
Done	0	1	1
Total	1 482	39	1 521

Accuracy

99.9%

Counts

1 521 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.2%	(.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.4%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 2 binary32) (log1p.f32 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 #s(literal 2 binary32) (log1p.f32 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (neg.f32 (.f32 #s(literal 2 binary32) (log1p.f32 u1))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.4%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (.f32 (pow.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) #s(literal 2 binary32)) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (pow.f32 (.f32 #s(literal 2 binary32) (log1p.f32 u1)) #s(literal 2 binary32)))) (.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	48.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	53.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 #s(approx ( (+ 1 u1) (+ 1 u1)) (fma.f32 u1 (+.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	90.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -3/4 binary32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) u1)) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
	84.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	57.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 (.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32)) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 3 binary32))) (fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (fma.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))
	92.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	91.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (log.f32 (PI.f32)))) u2)))
	85.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
	78.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	91.8%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (.f32 u1 (.f32 u1 u1)) (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) #s(approx ( u1 (+ (* u1 (+ (* u1 -1/3) -1/2)) -1)) (.f32 (neg.f32 u1) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.7%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	92.3%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.6%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	3.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
▶	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	77.6%	(.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.9%	#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (.f32 u2 u2))))) (sqrt.f32 (log1p.f32 u1))))

Compiler

Compiled 2 427 to 1 397 computations (42.4% saved)

simplify272.0ms (2.2%)

Memory

7.9MiB live, 203.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	32	(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
✓	cost-diff	64	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
✓	cost-diff	64	(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))
✓	cost-diff	64	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓	cost-diff	64	(.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))
✓	cost-diff	64	(neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	96	(-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))
✓	cost-diff	0	(fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)
✓	cost-diff	0	#s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
✓	cost-diff	0	(sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
✓	cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	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 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
✓	cost-diff	3200	(log.f32 (E.f32))

Rules

16 118×	`lower-fma.f64`
16 114×	`lower-fma.f32`
2 696×	`lower-*.f64`
2 672×	`lower-*.f32`
2 192×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	504
0	114	514
1	187	480
2	347	453
3	656	453
4	1110	453
5	2131	453
6	3665	453
7	5219	453
8	6594	453
9	7515	453
10	7864	453
11	7992	453
0	8006	420

Stop Event

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

Calls

Call 1

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

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

localize295.0ms (2.4%)

Memory

3.8MiB live, 239.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(PI.f32)
✓	accuracy	99.0%	(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	30.5%	(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
✓	accuracy	98.6%	(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
✓	accuracy	84.4%	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
✓	accuracy	54.9%	(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	52.1%	(log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))))
✓	accuracy	99.3%	(PI.f32)
✓	accuracy	99.1%	(*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	92.4%	#s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
✓	accuracy	100.0%	(neg.f32 (sqrt.f32 u1))
✓	accuracy	99.7%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	accuracy	84.4%	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
✓	accuracy	4.2%	#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
✓	accuracy	99.3%	(PI.f32)
✓	accuracy	99.3%	(E.f32)
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
✓	accuracy	96.9%	(log.f32 (E.f32))

Samples

103.0ms	206×	0	valid
42.0ms	48×	1	valid
11.0ms	2×	5	exit

Compiler

Compiled 482 to 56 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-sqrt: 26.0ms (19.8% of total)

ival-mult: 24.0ms (18.3% of total)

ival-log: 21.0ms (16% of total)

ival-add: 16.0ms (12.2% of total)

ival-sub: 12.0ms (9.1% of total)

ival-neg: 8.0ms (6.1% of total)

ival-cos: 6.0ms (4.6% of total)

adjust: 5.0ms (3.8% of total)

ival-log1p: 5.0ms (3.8% of total)

const: 4.0ms (3% of total)

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

ival-pi: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series182.0ms (1.5%)

Memory

-7.7MiB live, 148.3MiB allocated

Counts

30 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
77.0ms	u2	@	inf	(* (sqrt (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (cos (* (* 2 (PI)) u2)))
35.0ms	u2	@	0	(* (* 2 (* (PI) (log (E)))) u2)
21.0ms	u2	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (* (PI) (log (E)))) u2)))
15.0ms	u2	@	inf	(* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))
4.0ms	u2	@	-inf	(* (sqrt (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (cos (* (* 2 (PI)) u2)))

simplify272.0ms (2.2%)

Memory

22.7MiB live, 364.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 928×	`lower-fma.f64`
8 928×	`lower-fma.f32`
6 126×	`lower-*.f64`
6 126×	`lower-*.f32`
3 866×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	868	8109
1	2740	6522
0	8695	6194

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 355

Calls

Call 1

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

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

rewrite323.0ms (2.6%)

Memory

0.8MiB live, 636.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 248×	`lower-fma.f64`
5 244×	`lower-fma.f32`
4 090×	`lower-*.f64`
4 070×	`lower-*.f32`
3 528×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	343
0	109	320
1	322	311
2	1976	201
0	9303	194

Stop Event

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

Counts

30 → 1 119

Calls

Call 1

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

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

eval244.0ms (2%)

Memory: -2.8MiB live, 470.6MiB allocated
Compiler: Compiled 57 576 to 7 271 computations (87.4% saved)

prune258.0ms (2.1%)

Memory

-11.5MiB live, 631.8MiB allocated

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	1 560	25	1 585
Fresh	15	17	32
Picked	3	2	5
Done	0	2	2
Total	1 578	46	1 624

Accuracy

99.9%

Counts

1 624 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.2%	(.f32 (pow.f32 (pow.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.4%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.2%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (.f32 (pow.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) #s(literal 2 binary32)) (log.f32 (.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (.f32 (log.f32 (.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (pow.f32 (.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 2 binary32)))) (.f32 (log.f32 (.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (log.f32 (.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 u1 #s(literal 1 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	78.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32))) (log1p.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	46.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -3/4 binary32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) u1)) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	54.4%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	49.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
▶	84.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	57.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	49.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	93.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	80.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	78.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	88.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
▶	67.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32)) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 3 binary32))) (fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (fma.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))
	92.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	85.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
▶	93.7%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	80.1%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	78.8%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	92.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	92.3%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	92.1%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (.f32 (.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	92.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) #s(approx (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.6%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.1%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.3%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.6%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	3.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
✓	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	84.1%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
	71.9%	#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (.f32 u2 u2))))) (sqrt.f32 (log1p.f32 u1))))

Compiler

Compiled 2 488 to 1 441 computations (42.1% saved)

simplify346.0ms (2.8%)

Memory

36.5MiB live, 503.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
✓	cost-diff	128	(neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
✓	cost-diff	0	#s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) #s(approx (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))
✓	cost-diff	0	(sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) #s(approx (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))))
✓	cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) #s(approx (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	992	(.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	cost-diff	0	#s(approx (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1))
✓	cost-diff	0	(neg.f32 #s(approx (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	cost-diff	0	(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
✓	cost-diff	0	#s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
✓	cost-diff	0	(sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
✓	cost-diff	0	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

21 122×	`lower-fma.f64`
21 116×	`lower-fma.f32`
4 888×	`lower-*.f64`
4 868×	`lower-*.f32`
1 508×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	694
0	102	672
1	202	672
2	442	630
3	884	630
4	2996	630
5	6424	630
0	8445	576

Stop Event

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

Calls

Call 1

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

localize245.0ms (2%)

Memory

10.8MiB live, 480.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	52.7%	(log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
✓	accuracy	99.2%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
✓	accuracy	92.3%	#s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) #s(approx (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))
✓	accuracy	100.0%	(log1p.f32 (neg.f32 u1))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	accuracy	84.0%	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1))))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	accuracy	84.0%	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
✓	accuracy	75.6%	#s(approx (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1))
✓	accuracy	99.6%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.3%	(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	93.9%	#s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))

Samples

156.0ms

256×

valid

Compiler

Compiled 543 to 55 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 43.0ms (33.5% of total)

ival-log1p: 32.0ms (25% of total)

ival-add: 13.0ms (10.1% of total)

ival-log: 12.0ms (9.4% of total)

ival-div: 5.0ms (3.9% of total)

ival-sqrt: 5.0ms (3.9% of total)

ival-neg: 5.0ms (3.9% of total)

ival-sub: 4.0ms (3.1% of total)

const: 4.0ms (3.1% of total)

ival-cos: 3.0ms (2.3% of total)

ival-pi: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series85.0ms (0.7%)

Memory

-14.1MiB live, 151.4MiB allocated

Counts

25 → 360

Calls

Call 1

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

Outputs
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))>
#<alt (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1))))))>
#<alt (+ (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))))>
#<alt (+ (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))))))>
#<alt (+ (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (pow (+ 1 u1) 2)) (log (- (+ 1 u1) (* (pow u1 2) (+ 1 u1)))))))))))))>
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#<alt (/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)>
#<alt (/ -1 u1)>
#<alt (* -1 (/ (+ 1 (/ 1 u1)) u1))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
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#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1)))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))>
#<alt (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2)))))>
#<alt (+ (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))>
#<alt (+ (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))))>
#<alt (+ (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ (+ 1 u1) (- 1 (pow u1 2))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (+ (log -1) (log (/ 1 u1))))>
#<alt (+ (sqrt (+ (log -1) (log (/ 1 u1)))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))>
#<alt (+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1)))))))))>
#<alt (+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1)))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))))>
#<alt (sqrt (log (/ -1 u1)))>
#<alt (+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))>
#<alt (+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))>
#<alt (+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (+ 1/3 (* 1/4 u1))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* 1/4 u1)>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (+ (log -1) (log (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))>
#<alt (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))>
#<alt (log (/ -1 u1))>
#<alt (+ (log (/ -1 u1)) (/ 1 u1))>
#<alt (+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)))>

Calls

90 calls:

Time	Variable		Point	Expression
40.0ms	u1	@	-inf	(sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1)))))))
23.0ms	u2	@	inf	(* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	0	(* u1 (* u1 u1))
1.0ms	u2	@	0	(* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2)))

simplify302.0ms (2.4%)

Memory

36.0MiB live, 493.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 932×	`lower-fma.f64`
9 932×	`lower-fma.f32`
6 748×	`lower-*.f64`
6 748×	`lower-*.f32`
3 928×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	672	9776
1	2095	8055
2	6701	7052
0	8523	6746

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 352

Calls

Call 1

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

rewrite534.0ms (4.3%)

Memory

-45.5MiB live, 412.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 748×	`lower-/.f64`
3 742×	`lower-/.f32`
3 112×	`lower-fma.f64`
3 106×	`lower-fma.f32`
3 094×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	530
0	102	466
1	398	448
2	3275	440
0	8874	381

Stop Event

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

Counts

25 → 458

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
(exp.f32 (.f32 (log.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(literal 1/2 binary32)))
(pow.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))) #s(literal 1/2 binary32))
(sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(.f32 (pow.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)) (pow.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1/4 binary32)))
#s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(+.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(+.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)
(+.f32 (.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))
(+.f32 (+.f32 u1 (.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))))) (.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 (fma.f32 u1 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) (fma.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 u1)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)) (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) u1 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(fma.f32 u1 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(fma.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)
(fma.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(fma.f32 u1 (.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(fma.f32 (.f32 u1 u1) (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(fma.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(fma.f32 (.f32 u1 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)) (.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(fma.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 u1 u1) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1 u1)
(fma.f32 (.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) u1) u1 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(fma.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) u1 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(-.f32 (/.f32 (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))) (/.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))))
(-.f32 (/.f32 (.f32 u1 u1) (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) (/.f32 (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) (fma.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)) (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u1 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) (fma.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 u1))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)) (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))))))
(/.f32 (fma.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 u1))) (fma.f32 u1 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
(/.f32 (fma.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (.f32 u1 (.f32 u1 u1))) (fma.f32 u1 u1 (-.f32 (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 (*.f32 u1 u1))))))
(/.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)))
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(.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/16 binary32) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -1/3 binary32))))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(neg.f32 (.f32 u1 (.f32 u1 u1)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 u1)) #s(literal 3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 3/2 binary32)))
(pow.f32 u1 #s(literal 3 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/2 binary32))
(pow.f32 (neg.f32 u1) #s(literal 3 binary32))
(pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (neg.f32 u1) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 u1))) #s(literal 3 binary32))
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 3 binary32))
(/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (*.f32 u1 u1))) (pow.f32 (+.f32 #s(literal 0 binary32) u1) #s(literal 3 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u1 u1 (*.f32 #s(literal 0 binary32) u1))) #s(literal 3 binary32)))
(.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))
(.f32 u1 (.f32 u1 u1))
(.f32 (.f32 u1 u1) u1)
(.f32 (.f32 u1 u1) (neg.f32 u1))
(.f32 (neg.f32 u1) (.f32 u1 u1))
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32))
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))
(.f32 (.f32 u1 (*.f32 u1 u1)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)))
(.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 (/.f32 u1 #s(literal 1 binary32)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (neg.f32 u1) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 u1) #s(literal 3/2 binary32)))
(.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (.f32 u1 (*.f32 u1 u1)))
(.f32 (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 (.f32 u1 u1)) #s(literal 3/2 binary32)))
(.f32 (pow.f32 (.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
(neg.f32 (log1p.f32 u1))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal 1 binary32)))))
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(+.f32 (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 (neg.f32 u1))))
(+.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(fma.f32 #s(literal 1 binary32) (log1p.f32 u1) (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(fma.f32 (neg.f32 (log1p.f32 u1)) #s(literal -1 binary32) (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))) (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(-.f32 (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1)))) (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(-.f32 (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (log1p.f32 u1))
(-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (log1p.f32 (fma.f32 u1 u1 (neg.f32 u1))))
(-.f32 (log.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (log.f32 (+.f32 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)) (.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))))) (/.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)) (.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 #s(literal 0 binary32) (log1p.f32 u1))))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (/.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
(-.f32 (/.f32 #s(literal 0 binary32) (log1p.f32 u1)) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)) (.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)) (.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)))) (neg.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 u1)))
(*.f32 #s(literal 1 binary32) (neg.f32 (log1p.f32 u1)))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))

eval74.0ms (0.6%)

Memory: 35.0MiB live, 153.5MiB allocated
Compiler: Compiled 22 477 to 2 546 computations (88.7% saved)

prune229.0ms (1.9%)

Memory

-22.9MiB live, 301.2MiB allocated

Pruning

58 alts after pruning (51 fresh and 7 done)

	Pruned	Kept	Total
New	840	19	859
Fresh	5	32	37
Picked	2	3	5
Done	0	4	4
Total	847	58	905

Accuracy

99.9%

Counts

905 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.2%	(.f32 (pow.f32 (pow.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 #s(literal 0 binary32) (.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.2%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (.f32 (pow.f32 (log1p.f32 (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))) #s(literal 2 binary32)) (log.f32 (.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (.f32 (log.f32 (.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (pow.f32 (.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 2 binary32)))) (.f32 (log.f32 (.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (log.f32 (.f32 (+.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	48.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 u1 #s(literal 1 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	78.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	46.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -3/4 binary32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) u1)) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	49.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	47.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 #s(approx (/ (+ u1 1) (- 1 ( u1 u1))) (+.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
✓	84.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	51.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal 1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	57.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.6%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	80.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	78.7%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	88.9%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	72.3%	(.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32)) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 3 binary32))) (fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (fma.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))
	92.0%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	92.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	85.1%	(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
	93.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	93.7%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	80.1%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	78.8%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
✓	92.3%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	93.6%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)) (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.6%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.1%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (.f32 (.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) #s(approx (+ (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) u1) (.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) #s(approx (+ (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) u1) (.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) #s(approx (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 u1))) (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	92.0%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) #s(approx (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.4%	(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) #s(approx (+ (* u1 (* u1 (+ (* u1 1/3) 1/2))) u1) (.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 1/3 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.6%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 (exp.f32 (.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.3%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) u1)) (.f32 (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (.f32 u1 #s(literal 1/2 binary32)))) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.7%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/6 binary32) u1)) (.f32 (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (.f32 u1 #s(literal 1/2 binary32)))) (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	91.1%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.0%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	89.0%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	77.6%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	67.9%	(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	3.5%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
✓	4.6%	(.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
	84.1%	#s(approx (* (sqrt (neg (- (log (neg (+ -1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
	51.5%	#s(approx (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
	54.4%	#s(approx (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
	49.1%	#s(approx (* (sqrt (neg (neg (log (/ (+ u1 1) (- 1 (* u1 u1))))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
	71.9%	#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 #s(literal 2/3 binary32) (.f32 u2 u2))))) (sqrt.f32 (log1p.f32 u1))))

Compiler

Compiled 4 195 to 1 489 computations (64.5% saved)

regimes295.0ms (2.4%)

Memory

22.9MiB live, 454.5MiB allocated

Counts

101 → 1

Calls

Call 1

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

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

Calls

10 calls:

55.0ms	u2
30.0ms	(-.f32 #s(literal 1 binary32) u1)
27.0ms	cosTheta_i
26.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
26.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
99.2%	1	`cosTheta_i`
99.2%	1	`u1`
99.2%	1	`u2`
99.2%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
99.2%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.2%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.2%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.2%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.2%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.2%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes162.0ms (1.3%)

Memory

-12.1MiB live, 310.4MiB allocated

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

20.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
18.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
16.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
16.0ms	u1
16.0ms	u2

Results

Accuracy	Segments	Branch
93.7%	1	`cosTheta_i`
98.4%	2	`u1`
98.3%	2	`u2`
98.4%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.4%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.4%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.4%	2	`(-.f32 #s(literal 1 binary32) u1)`
98.3%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes130.0ms (1.1%)

Memory

1.8MiB live, 164.1MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

53.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
10.0ms	(-.f32 #s(literal 1 binary32) u1)
10.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
9.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms	u2

Results

Accuracy	Segments	Branch
98.2%	2	`u2`
98.2%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.2%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
98.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.3%	2	`(-.f32 #s(literal 1 binary32) u1)`
98.3%	2	`u1`
98.3%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes163.0ms (1.3%)

Memory

-3.8MiB live, 113.7MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

52.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
38.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
21.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
9.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms	u1

Results

Accuracy	Segments	Branch
97.8%	2	`u2`
97.8%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.8%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) 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)))`
97.1%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.1%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.1%	2	`u1`
97.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.1%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes109.0ms (0.9%)

Memory

-16.8MiB live, 107.2MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

25.0ms	cosTheta_i
16.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	u2

Results

Accuracy	Segments	Branch
89.0%	1	`cosTheta_i`
95.7%	2	`u1`
95.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.7%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.7%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.7%	2	`(-.f32 #s(literal 1 binary32) u1)`
96.5%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
96.3%	2	`u2`
96.3%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes76.0ms (0.6%)

Memory

23.6MiB live, 101.7MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

15.0ms	u2
12.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
7.0ms	u1
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
90.6%	2	`u1`
90.6%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
90.6%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
90.6%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
90.6%	2	`(-.f32 #s(literal 1 binary32) u1)`
93.4%	2	`u2`
93.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
93.4%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
92.2%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes125.0ms (1%)

Memory

-5.3MiB live, 75.2MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

43.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
36.0ms	u1
6.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms	u2
6.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
90.2%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
90.2%	2	`(-.f32 #s(literal 1 binary32) u1)`
90.2%	2	`u1`
90.2%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
90.2%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
85.1%	1	`cosTheta_i`
90.2%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
90.1%	2	`u2`
90.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
90.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes112.0ms (0.9%)

Memory

-6.6MiB live, 70.3MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

38.0ms	u2
35.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms	u1
5.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
85.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
85.1%	1	`u2`
85.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
85.1%	1	`u1`
85.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
85.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
85.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
85.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
85.1%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes75.0ms (0.6%)

Memory

21.1MiB live, 61.8MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

33.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms	u2
5.0ms	cosTheta_i
5.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
5.0ms	u1

Results

Accuracy	Segments	Branch
80.1%	1	`u1`
83.3%	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)))`
80.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
80.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
80.1%	1	`cosTheta_i`
84.2%	2	`u2`
84.2%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
80.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
80.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
84.2%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes33.0ms (0.3%)

Memory

-21.4MiB live, 18.2MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

20.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	u2
4.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
80.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
80.1%	1	`u2`
80.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
80.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes69.0ms (0.6%)

Memory

4.0MiB live, 43.5MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

35.0ms	u1
4.0ms	cosTheta_i
4.0ms	u2
4.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
78.8%	1	`cosTheta_i`
78.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
78.8%	1	`(-.f32 #s(literal 1 binary32) u1)`
78.8%	1	`u1`
78.8%	1	`u2`
78.8%	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)))`
78.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
78.8%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
78.8%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
78.8%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes38.0ms (0.3%)

Memory

6.8MiB live, 45.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

15.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	(.f32 (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
2.0ms	u1

Results

Accuracy	Segments	Branch
76.4%	1	`cosTheta_i`
76.4%	1	`u1`
76.4%	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)))`
76.4%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
76.4%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
76.4%	1	`u2`
76.4%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
76.4%	1	`(-.f32 #s(literal 1 binary32) u1)`
76.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
76.4%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes42.0ms (0.3%)

Memory

-6.4MiB live, 33.5MiB allocated

Accuracy

Total -20.6b remaining (-200.6%)

Threshold costs -20.6b (-200.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
67.9%	1	`u2`
67.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
67.9%	1	`cosTheta_i`
67.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
67.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
67.9%	1	`u1`
67.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
67.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
67.9%	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)))`
67.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.035955607891082764	0.03706919401884079

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.015596143901348114	0.016648607328534126

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1241091638803482	0.15964321792125702

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04701700434088707	0.04768644645810127

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999964833259583	0.9999969601631165

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.11167795211076736	0.12902948260307312

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999964833259583	0.9999969601631165

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify12.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	622
1	156	622
2	167	622
3	172	622

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 8589935/536870912 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5033165/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3187671/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777157/16777216 binary32)) (.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 16106127/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777157/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2415919/67108864 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 8589935/536870912 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 8589935/536870912 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5033165/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5033165/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3187671/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3187671/67108864 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777157/16777216 binary32)) (.f32 #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777157/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (exp ( (log (log (+ 1 u1))) 1/2)) (sqrt.f32 u1))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 16106127/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 16106127/134217728 binary32)) (.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777157/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777157/16777216 binary32)) (.f32 (sqrt.f32 (neg.f32 #s(approx (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))) (.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))))
(.f32 (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
(.f32 #s(approx (sqrt (neg (- (log (- (+ 1 u1) ( (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(.f32 #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (sqrt.f32 u1)))

soundness1.4s (11.6%)

Memory

-17.1MiB live, 1 010.6MiB allocated

Rules

9 932×	`lower-fma.f64`
9 932×	`lower-fma.f32`
9 474×	`lower-fma.f64`
9 474×	`lower-fma.f32`
9 270×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1737
1	858	1458
2	2728	1335
3	6882	1298
0	8134	1246
0	672	9776
1	2095	8055
2	6701	7052
0	8523	6746
0	737	7969
1	2267	6801
2	6872	6692
0	8112	6341
0	868	8109
1	2740	6522
0	8695	6194
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23

Stop Event

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

Compiler

Compiled 1 121 to 601 computations (46.4% saved)

preprocess67.0ms (0.5%)

Memory

35.1MiB live, 232.7MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 138 to 508 computations (55.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze337.0ms (2.7%)

sample2.2s (17.6%)

preprocess58.0ms (0.5%)

explain206.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize53.0ms (0.4%)

series71.0ms (0.6%)

simplify346.0ms (2.8%)

rewrite232.0ms (1.9%)

eval38.0ms (0.3%)

prune115.0ms (0.9%)

simplify486.0ms (3.9%)

localize229.0ms (1.9%)

series61.0ms (0.5%)

simplify313.0ms (2.5%)

rewrite314.0ms (2.6%)

eval325.0ms (2.6%)

prune354.0ms (2.9%)

simplify272.0ms (2.2%)

localize295.0ms (2.4%)

series182.0ms (1.5%)

simplify272.0ms (2.2%)

rewrite323.0ms (2.6%)

eval244.0ms (2%)

prune258.0ms (2.1%)

simplify346.0ms (2.8%)

localize245.0ms (2%)

series85.0ms (0.7%)

simplify302.0ms (2.4%)

rewrite534.0ms (4.3%)

eval74.0ms (0.6%)

prune229.0ms (1.9%)

regimes295.0ms (2.4%)

regimes162.0ms (1.3%)

regimes130.0ms (1.1%)

regimes163.0ms (1.3%)

regimes109.0ms (0.9%)

regimes76.0ms (0.6%)

regimes125.0ms (1%)

regimes112.0ms (0.9%)

regimes75.0ms (0.6%)

regimes33.0ms (0.3%)

regimes69.0ms (0.6%)

regimes38.0ms (0.3%)

regimes42.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.4s (11.6%)

preprocess67.0ms (0.5%)

end0.0ms (0%)

Profiling