Metrics for Beckmann Sample, near normal, slope

analyze435.0ms (3.1%)

Memory

9.8MiB live, 568.4MiB 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)

sample1.9s (13.6%)

Memory

33.2MiB live, 3 101.9MiB 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: 345.0ms (29.1% of total)

ival-mult: 142.0ms (12% of total)

ival-<=: 135.0ms (11.4% of total)

ival-log: 129.0ms (10.9% of total)

ival-cos: 117.0ms (9.9% of total)

ival-sub: 106.0ms (8.9% of total)

ival-sqrt: 75.0ms (6.3% of total)

ival-neg: 35.0ms (3% of total)

ival-pi: 34.0ms (2.9% of total)

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

ival->: 27.0ms (2.3% of total)

exact: 9.0ms (0.8% of total)

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

Bogosity

preprocess49.0ms (0.3%)

Memory

4.2MiB live, 53.5MiB allocated

Algorithm

2×	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	135
1	99	133
2	186	133
3	324	133
4	515	133
5	747	133
6	912	133
7	1252	133
8	1367	133
9	1553	133
10	1562	133
11	1566	133
12	1566	133
0	13	13
1	25	13
2	37	13
3	46	13
4	54	13
5	66	13
6	80	13
7	88	13
8	91	13
0	91	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))))
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))))
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2)))
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i)))
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1)))

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

Symmetry

(abs cosTheta_i)

(abs u2)

explain139.0ms (1%)

Memory

11.4MiB live, 327.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
200	7	(0.9999772906303406 0.004638788755983114 0.41492825746536255)	1	(0.9999887943267822 0.010670800693333149 4.871761660751872e-8)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	206	15

Confusion

	Predicted +	Predicted -
+	196	0
-	10	50

Precision

0.9514563106796117

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	196	0	0
-	10	15	35

Precision?

0.8868778280542986

Recall?

1.0

Freqs

test

number	freq
0	50
1	206

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: 36.0ms

ival-mult: 9.0ms (25.1% of total)

ival-log: 9.0ms (25.1% of total)

ival-cos: 7.0ms (19.5% of total)

ival-sub: 3.0ms (8.4% of total)

ival-sqrt: 3.0ms (8.4% of total)

ival-pi: 2.0ms (5.6% of total)

ival-neg: 2.0ms (5.6% of total)

exact: 1.0ms (2.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify8.0ms (0.1%)

Memory

-27.1MiB live, 11.4MiB 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×	`-lowering-.f32`
40×	`-lowering-.f64`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
24×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	25	50
2	37	50
3	46	50
4	54	50
5	66	50
6	80	50
7	88	50
8	91	50
0	91	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize44.0ms (0.3%)

Memory

22.2MiB live, 95.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.5%	(.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	54.5%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

27.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

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

ival-log: 6.0ms (32.6% of total)

ival-mult: 4.0ms (21.7% of total)

ival-cos: 3.0ms (16.3% of total)

ival-sqrt: 2.0ms (10.9% of total)

ival-pi: 1.0ms (5.4% of total)

ival-sub: 1.0ms (5.4% of total)

ival-neg: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory

14.4MiB live, 97.0MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (cos (* (* 2 (PI)) 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)))>
#<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

21 calls:

Time	Variable		Point	Expression
35.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite313.0ms (2.2%)

Memory

-18.9MiB live, 522.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 444×	`-lowering-.f32`
3 444×	`-lowering-.f64`
2 098×	`accelerator-lowering-fma.f32`
2 098×	`accelerator-lowering-fma.f64`
2 048×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	56	39
2	311	39
3	2333	37
0	8636	29

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 242

Calls

Call 1

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

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

simplify423.0ms (3%)

Memory

14.5MiB live, 719.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 722×	`accelerator-lowering-fma.f32`
9 722×	`accelerator-lowering-fma.f64`
5 844×	`-lowering-.f32`
5 844×	`-lowering-.f64`
3 726×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1849
1	911	1570
2	2918	1447
3	7135	1410
0	8388	1352

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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)))
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))))

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

eval59.0ms (0.4%)

Memory: 1.2MiB live, 77.5MiB allocated
Compiler: Compiled 7 692 to 1 420 computations (81.5% saved)

prune98.0ms (0.7%)

Memory

-35.5MiB live, 97.3MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	304	22	326
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	304	23	327

Accuracy

99.6%

Counts

327 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.4%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.1%	(.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)))
	76.3%	(.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)))
	87.1%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.0%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	94.6%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.9%	(.f32 (sqrt.f32 (.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 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.8%	(.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 #s(literal 0 binary32) (.f32 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 #s(literal 0 binary32) (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))) (log1p.f32 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	52.5%	(.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)))
▶	53.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (.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)))
	53.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.8%	(.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)))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	51.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
	56.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
✓	56.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	48.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	78.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.2%	(.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)))

Compiler

Compiled 1 222 to 794 computations (35% saved)

simplify343.0ms (2.4%)

Memory

-1.9MiB live, 638.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	224	(.f32 (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	416	(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	544	(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	672	(-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
✓	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 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
✓	cost-diff	0	(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
✓	cost-diff	0	(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(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	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	160	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
✓	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

12 052×	`accelerator-lowering-fma.f32`
12 052×	`accelerator-lowering-fma.f64`
2 982×	`-lowering-.f32`
2 982×	`-lowering-.f64`
1 896×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	672
1	142	658
2	350	626
3	962	612
4	2208	588
5	3993	552
6	5870	552
7	7710	552
0	8171	497

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize226.0ms (1.6%)

Memory

43.8MiB live, 428.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
✓	accuracy	98.3%	(.f32 (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	56.6%	(log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
✓	accuracy	54.3%	(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))
✓	accuracy	98.6%	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	98.5%	(-.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	54.3%	(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	51.3%	(log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (.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)))
✓	accuracy	99.2%	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
✓	accuracy	99.1%	(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	100.0%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
✓	accuracy	100.0%	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	accuracy	54.5%	(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.7%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Samples

132.0ms

256×

valid

Compiler

Compiled 657 to 56 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 28.0ms (25.8% of total)

ival-log: 24.0ms (22.1% of total)

ival-add: 22.0ms (20.3% of total)

ival-sqrt: 9.0ms (8.3% of total)

ival-sub: 6.0ms (5.5% of total)

ival-neg: 6.0ms (5.5% of total)

const: 4.0ms (3.7% of total)

ival-div: 3.0ms (2.8% of total)

ival-cos: 3.0ms (2.8% of total)

ival-log1p: 2.0ms (1.8% of total)

ival-pi: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series35.0ms (0.2%)

Memory

-18.4MiB live, 60.1MiB allocated

Counts

30 → 384

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (sqrt (neg (log (- 1 u1)))) 1)>
#<alt (log (- 1 u1))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (* (sqrt (* u1 (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 1))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (* u1 (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 1)))>
#<alt (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 1)>
#<alt (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)>
#<alt (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))>
#<alt (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))>
#<alt (* (+ 1 u1) (* u1 u1))>
#<alt (* (+ 1 u1) (+ 1 u1))>
#<alt (- (* (/ 1 (+ 1 u1)) (/ 1 (+ 1 u1))) (* (/ (* u1 u1) (+ 1 u1)) (/ (* u1 u1) (+ 1 u1))))>
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Outputs
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#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
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#<alt u1>
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#<alt (* -1 u1)>
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#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
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#<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))))))))>
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#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
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#<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 (* -1 u1)>
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#<alt u1>
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#<alt (+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 4))))))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<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 (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))>
#<alt (* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))>
#<alt (* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4))))>
#<alt 1>
#<alt (+ 1 (* 1/2 u1))>
#<alt (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))>
#<alt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))>
#<alt (* 1/4 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/3 u1))>
#<alt (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))>
#<alt (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt 1>
#<alt (+ 1 u1)>
#<alt (+ 1 (* u1 (+ 1 (* -1 u1))))>
#<alt (+ 1 (* u1 (+ 1 (* u1 (- (* -1 u1) 1)))))>
#<alt (* -1 (pow u1 3))>
#<alt (* -1 (* (pow u1 3) (+ 1 (/ 1 u1))))>
#<alt (* (pow u1 3) (- (/ 1 (pow u1 2)) (+ 1 (/ 1 u1))))>
#<alt (* (pow u1 3) (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))) (+ 1 (/ 1 u1))))>
#<alt (* -1 (pow u1 3))>
#<alt (* -1 (* (pow u1 3) (+ 1 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- (/ 1 u1) 1) u1)))))>
#<alt (* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1) u1)))))>
#<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 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -3 (log (/ 1 u1)))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -3 (log (/ 1 u1)))))>
#<alt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (/ 1 u1)) (* -3 (log (/ -1 u1))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -3 (log (/ -1 u1))))>
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -3 (log (/ -1 u1))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 u1))>
#<alt (* (pow u1 2) (+ 1 u1))>
#<alt (* (pow u1 2) (+ 1 u1))>
#<alt (pow u1 3)>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (pow u1 3)>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt 1>
#<alt (+ 1 (* 2 u1))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt 1>
#<alt (+ 1 (* -2 u1))>
#<alt (+ 1 (* u1 (- (* 3 u1) 2)))>
#<alt (+ 1 (* u1 (- (* u1 (+ 3 (* -4 u1))) 2)))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (* 2 (/ 1 u1)) 1))>
#<alt (* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 3 (pow u1 2)))))>
#<alt (* (pow u1 2) (- (+ (* 2 (/ 1 u1)) (* 4 (/ 1 (pow u1 3)))) (+ 1 (/ 3 (pow u1 2)))))>
#<alt (* -1 (pow u1 2))>
#<alt (* (pow u1 2) (- (* 2 (/ 1 u1)) 1))>
#<alt (* (pow u1 2) (- (* -1 (/ (- (* 3 (/ 1 u1)) 2) u1)) 1))>
#<alt (* (pow u1 2) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 u1)) 3) u1)) 2) u1)) 1))>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* u1 (- (* 2 u1) 1)))>
#<alt (+ 1 (* u1 (- (* u1 (+ 2 (* -2 u1))) 1)))>
#<alt u1>
#<alt (* u1 (- 1 (/ 1 u1)))>
#<alt (* u1 (- (+ 1 (/ 2 (pow u1 2))) (/ 1 u1)))>
#<alt (* u1 (- (+ 1 (/ 2 (pow u1 2))) (+ (/ 1 u1) (* 2 (/ 1 (pow u1 3))))))>
#<alt u1>
#<alt (* -1 (* u1 (- (/ 1 u1) 1)))>
#<alt (* -1 (* u1 (- (* -1 (/ (- (* 2 (/ 1 u1)) 1) u1)) 1)))>
#<alt (* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u1)) 2) u1)) 1) u1)) 1)))>
#<alt 1>
#<alt (+ 1 (* -2 u1))>
#<alt (+ 1 (* u1 (- (* 3 u1) 2)))>
#<alt (+ 1 (* u1 (- (* u1 (+ 3 (* -4 u1))) 2)))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ (- 1 (* 2 (/ 1 u1))) (pow u1 2))>
#<alt (/ (- (+ 1 (/ 3 (pow u1 2))) (* 2 (/ 1 u1))) (pow u1 2))>
#<alt (/ (- (+ 1 (/ 3 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 4 (/ 1 (pow u1 3))))) (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ (- 1 (* 2 (/ 1 u1))) (pow u1 2))>
#<alt (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 u1))) u1))) (pow u1 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 u1))) u1))) u1))) (pow u1 2))>
#<alt (pow u1 4)>
#<alt (* (pow u1 4) (+ 1 (* -2 u1)))>
#<alt (* (pow u1 4) (+ 1 (* u1 (- (* 3 u1) 2))))>
#<alt (* (pow u1 4) (+ 1 (* u1 (- (* u1 (+ 3 (* -4 u1))) 2))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (- (+ 1 (/ 3 (pow u1 2))) (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (- (+ 1 (/ 3 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 4 (/ 1 (pow u1 3))))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 u1))) u1))))>
#<alt (* (pow u1 2) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 u1))) 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>
#<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 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 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 (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) 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))))>
#<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 u1)>
#<alt (* u1 (- (* 3/2 u1) 1))>
#<alt (* u1 (- (* u1 (+ 3/2 (* -1/3 u1))) 1))>
#<alt (* u1 (- (* u1 (+ 3/2 (* u1 (- (* -1/4 u1) 1/3)))) 1))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (- (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))>
#<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 (* 3/2 (/ 1 u1))) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- 3/2 (* 1/3 (/ 1 u1))) u1))) u1))))>
#<alt (* -2 u1)>
#<alt (* u1 (- u1 2))>
#<alt (* u1 (- (* u1 (+ 1 (* -2/3 u1))) 2))>
#<alt (* u1 (- (* u1 (+ 1 (* u1 (- (* -1/2 u1) 2/3)))) 2))>
#<alt (+ (log -1) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (* 2 (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2)))) (+ (* 2 (/ 1 u1)) (* 2/3 (/ 1 (pow u1 3)))))>
#<alt (+ (log -1) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ -1 u1)))) (* 2 (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- 2 (/ 1 u1)) u1))))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 u1))) u1))) 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) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))>
#<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

96 calls:

Time	Variable		Point	Expression
6.0ms	u1	@	0	(neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))
5.0ms	u1	@	inf	(* (sqrt (* u1 (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 1))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	inf	(- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))
1.0ms	u2	@	inf	(* (sqrt (* u1 (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 1))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	-inf	(* (sqrt (* u1 (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) 1))) (cos (* (* 2 (PI)) u2)))

rewrite533.0ms (3.8%)

Memory

3.9MiB live, 966.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 496×	`accelerator-lowering-fma.f32`
5 496×	`accelerator-lowering-fma.f64`
3 732×	`/-lowering-/.f32`
3 732×	`/-lowering-/.f64`
3 652×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	273
1	299	255
2	2748	255
0	9898	204

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 1 368

Calls

Call 1

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

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

simplify458.0ms (3.2%)

Memory

24.2MiB live, 725.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 332×	`accelerator-lowering-fma.f32`
9 332×	`accelerator-lowering-fma.f64`
6 912×	`-lowering-.f32`
6 912×	`-lowering-.f64`
4 564×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	827	6425
1	2646	5680
0	8139	5361

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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))))
(* (* (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))))
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(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
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)))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) 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 (- (* 3/2 u1) 1))
(* u1 (- (* u1 (+ 3/2 (* -1/3 u1))) 1))
(* u1 (- (* u1 (+ 3/2 (* u1 (- (* -1/4 u1) 1/3)))) 1))
(* -1 (log (/ 1 u1)))
(- (* -1 (log (/ 1 u1))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(- (+ (log -1) (* -1 (log (/ -1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- 1 (* 3/2 (/ 1 u1))) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- 3/2 (* 1/3 (/ 1 u1))) u1))) u1))))
(* -2 u1)
(* u1 (- u1 2))
(* u1 (- (* u1 (+ 1 (* -2/3 u1))) 2))
(* u1 (- (* u1 (+ 1 (* u1 (- (* -1/2 u1) 2/3)))) 2))
(+ (log -1) (* -2 (log (/ 1 u1))))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (* 2 (/ 1 u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2)))) (+ (* 2 (/ 1 u1)) (* 2/3 (/ 1 (pow u1 3)))))
(+ (log -1) (* -2 (log (/ -1 u1))))
(- (+ (log -1) (* -2 (log (/ -1 u1)))) (* 2 (/ 1 u1)))
(+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- 2 (/ 1 u1)) u1))))
(+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 u1))) u1))) 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)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (.f32 #s(literal -1/4 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 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)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 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 (sqrt.f32 u1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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 (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 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 u1 u1)))) (.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.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 u1 (.f32 u1 u1))) (.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 u1 u1)))) (fma.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))
(+ (* -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 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) 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 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (fma.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.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))))) u1)))) u1)) (neg.f32 u1)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
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(fma.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) 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 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) 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)) u1)) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(- (+ (log -1) (* -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 (log.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -2 (log (/ 1 u1))) (/ 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))
(- (* -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)))
(fma.f32 #s(literal -1 binary32) (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 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -2 (log (/ -1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* 3/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal 3/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (+ 3/2 (* -1/3 u1))) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 3/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (+ 3/2 (* u1 (- (* -1/4 u1) 1/3)))) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal 3/2 binary32)) #s(literal -1 binary32)))
(* -1 (log (/ 1 u1)))
(log.f32 u1)
(- (* -1 (log (/ 1 u1))) (/ 1 u1))
(+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (/ 1 u1))
(+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) u1)) u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))
(+.f32 (log.f32 u1) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) u1)) u1) (/.f32 #s(literal 1/3 binary32) (.f32 u1 (.f32 u1 u1)))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (log -1) (* -1 (log (/ -1 u1)))) (/ 1 u1))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- 1 (* 3/2 (/ 1 u1))) u1))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -3/2 binary32) u1)) u1))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- 3/2 (* 1/3 (/ 1 u1))) u1))) u1))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(* -2 u1)
(*.f32 u1 #s(literal -2 binary32))
(* u1 (- u1 2))
(*.f32 u1 (+.f32 u1 #s(literal -2 binary32)))
(* u1 (- (* u1 (+ 1 (* -2/3 u1))) 2))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -2/3 binary32) #s(literal 1 binary32)) #s(literal -2 binary32)))
(* u1 (- (* u1 (+ 1 (* u1 (- (* -1/2 u1) 2/3)))) 2))
(*.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)))
(+ (log -1) (* -2 (log (/ 1 u1))))
(fma.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (* 2 (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)) #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (/ 1 (pow u1 2)))) (+ (* 2 (/ 1 u1)) (* 2/3 (/ 1 (pow u1 3)))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) u1)) (/.f32 #s(literal 2/3 binary32) (.f32 u1 (.f32 u1 u1)))))
(+ (log -1) (* -2 (log (/ -1 u1))))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -2 (log (/ -1 u1)))) (* 2 (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) u1)))
(+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- 2 (/ 1 u1)) u1))))
(-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(+ (log -1) (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 u1))) u1))) u1))))
(-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2/3 binary32) u1)) u1)) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (+.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))
(- (* -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)))
(fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) u1))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -1 (log (/ -1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -1 (log (/ -1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) u1))

eval218.0ms (1.5%)

Memory: 6.9MiB live, 473.0MiB allocated
Compiler: Compiled 81 339 to 6 971 computations (91.4% saved)

prune279.0ms (2%)

Memory

-10.3MiB live, 608.1MiB allocated

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	1 815	33	1 848
Fresh	13	4	17
Picked	3	2	5
Done	0	1	1
Total	1 831	40	1 871

Accuracy

99.7%

Counts

1 871 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.2%	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (.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)))))
	5.6%	(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))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
	91.7%	(fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) #s(literal 2 binary32))))))
	5.6%	(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
	89.5%	(.f32 (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)))
	93.8%	(.f32 (pow.f32 (pow.f32 (.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(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.6%	(.f32 (pow.f32 (.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	94.2%	(.f32 (/.f32 (sqrt.f32 (.f32 (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))) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))) #s(literal 1 binary32)) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (.f32 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)))
	94.1%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	94.7%	(.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.7%	(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.7%	(.f32 (sqrt.f32 (-.f32 (/.f32 (.f32 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))) (-.f32 (.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)) (/.f32 (.f32 u1 u1) (-.f32 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.5%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) #s(literal 1 binary32))
	94.3%	(.f32 (sqrt.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.4%	(.f32 (sqrt.f32 (.f32 (+.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))) (pow.f32 u1 #s(literal 4 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.6%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 u1) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.8%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.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)))
	84.2%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
	94.5%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (-.f32 (+.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)))))))
	92.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.5%	(.f32 (sqrt.f32 (.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 binary32))
	89.4%	(.f32 (sqrt.f32 (.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)))
	72.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32))
▶	94.4%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 u1)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
	53.1%	(.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 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (-.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 u1))) (/.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (-.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	79.5%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	56.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
✓	56.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	48.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	78.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.0%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
▶	5.5%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	92.0%	(.f32 (exp.f32 (.f32 (log.f32 (.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(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.9%	(sqrt.f32 (*.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))))

Compiler

Compiled 2 106 to 1 330 computations (36.8% saved)

simplify428.0ms (3%)

Memory

10.6MiB live, 436.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (sqrt.f32 (.f32 (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))) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))) #s(literal 1 binary32)) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
✓	cost-diff	0	(.f32 (/.f32 (sqrt.f32 (.f32 (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))) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))) #s(literal 1 binary32)) u1)) (sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (.f32 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)))
✓	cost-diff	64	(-.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
✓	cost-diff	576	(fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (neg.f32 (.f32 u1 (*.f32 u1 u1))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	96	(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
✓	cost-diff	480	(.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (neg.f32 (.f32 u1 (.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	160	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	64	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	cost-diff	0	(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
✓	cost-diff	0	(sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))
✓	cost-diff	0	(.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	32	(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)

Rules

11 086×	`accelerator-lowering-fma.f32`
11 086×	`accelerator-lowering-fma.f64`
3 348×	`--lowering--.f32`
3 348×	`--lowering--.f64`
3 050×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	766
1	139	758
2	407	608
3	1775	598
4	4339	598
5	7830	598
0	8013	526

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize328.0ms (2.3%)

Memory

12.5MiB live, 289.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
✓	accuracy	99.0%	(.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))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.8%	(.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)))
✓	accuracy	99.2%	(.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1))))
✓	accuracy	99.2%	(.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (neg.f32 (.f32 u1 (*.f32 u1 u1)))))
✓	accuracy	99.0%	(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	100.0%	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	accuracy	100.0%	(neg.f32 u1)
✓	accuracy	100.0%	(log1p.f32 (neg.f32 u1))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	100.0%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.6%	(sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.1%	(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)

Samples

136.0ms

256×

valid

Compiler

Compiled 690 to 56 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-sqrt: 30.0ms (26.4% of total)

ival-mult: 28.0ms (24.7% of total)

ival-neg: 28.0ms (24.7% of total)

ival-add: 9.0ms (7.9% of total)

ival-div: 6.0ms (5.3% of total)

const: 4.0ms (3.5% of total)

ival-cos: 3.0ms (2.6% of total)

ival-log1p: 2.0ms (1.8% of total)

ival-pi: 1.0ms (0.9% of total)

ival-sub: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series38.0ms (0.3%)

Memory

10.6MiB live, 48.1MiB allocated

Counts

25 → 336

Calls

Call 1

Inputs
#<alt (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)) u1)>
#<alt (* (sqrt (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)) u1)) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)) u1))>
#<alt (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)>
#<alt (* (sqrt u1) -1)>
#<alt (sqrt u1)>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) 1)>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (+ -1/4 (/ (+ (* -1 (+ 1/3 (/ 1/2 u1))) (/ -1 (* u1 u1))) u1)) (neg (* u1 (* u1 u1))))>
#<alt (+ (* -1 (+ 1/3 (/ 1/2 u1))) (/ -1 (* u1 u1)))>
#<alt (* (sqrt (* u1 (* (+ -1/4 (/ (+ (* -1 (+ 1/3 (/ 1/2 u1))) (/ -1 (* u1 u1))) u1)) (neg (* u1 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (* u1 (* (+ -1/4 (/ (+ (* -1 (+ 1/3 (/ 1/2 u1))) (/ -1 (* u1 u1))) u1)) (neg (* u1 (* u1 u1))))))>
#<alt (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))) (- 1 (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))>
#<alt (- 1 (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)))>
#<alt (* (/ (sqrt (* (+ (* (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))) 1) u1)) (sqrt (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))) (- 1 (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)))))) (cos (* (* 2 (PI)) u2)))>
#<alt (/ (sqrt (* (+ (* (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))) 1) u1)) (sqrt (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))) (- 1 (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))))>
#<alt (* (* 2 (PI)) u2)>
#<alt (+ (* u1 1/4) 1/3)>
#<alt (neg u1)>
#<alt (+ 1/3 (/ 1/2 u1))>
#<alt (* u1 (* (+ -1/4 (/ (+ (* -1 (+ 1/3 (/ 1/2 u1))) (/ -1 (* u1 u1))) u1)) (neg (* u1 (* u1 u1)))))>
#<alt (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))>
#<alt (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))>

Outputs
#<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 (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) 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) (+ (* 1/6 (* (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 (* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))>
#<alt (* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -7/18 (/ (cos (* 2 (* u2 (PI)))) u1)) (* -1/3 (cos (* 2 (* u2 (PI)))))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 7/18 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) u1))) u1)) (* -1/3 (cos (* 2 (* u2 (PI)))))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<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 (* 1/2 (pow u1 2))>
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#<alt (* -1 (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))>
#<alt (* (pow u1 3) (- (/ 1 (pow u1 3)) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))))>
#<alt (* -1/4 (pow u1 3))>
#<alt (* -1 (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))))>
#<alt (* -1 (* (pow u1 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (- 1/2 (/ 1 u1)) u1)) 1/3) 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) (+ (* 1/6 (* (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 (* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))>
#<alt (+ (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* 2/3 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 4))))))))>
#<alt (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))>
#<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 (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))>
#<alt (* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))>
#<alt (* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4))))>
#<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 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (* -1 u1)>
#<alt (/ 1/2 u1)>
#<alt (/ (+ 1/2 (* 1/3 u1)) u1)>
#<alt (/ (+ 1/2 (* 1/3 u1)) u1)>
#<alt (/ (+ 1/2 (* 1/3 u1)) u1)>
#<alt 1/3>
#<alt (+ 1/3 (* 1/2 (/ 1 u1)))>
#<alt (+ 1/3 (* 1/2 (/ 1 u1)))>
#<alt (+ 1/3 (* 1/2 (/ 1 u1)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/2 (/ 1 u1)))>
#<alt (+ 1/3 (* 1/2 (/ 1 u1)))>
#<alt (+ 1/3 (* 1/2 (/ 1 u1)))>
#<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 (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 u1)))>
#<alt (* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))>
#<alt (* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))>
#<alt (* 1/16 (pow u1 6))>
#<alt (* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))>
#<alt (* 1/16 (pow u1 6))>
#<alt (* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>

Calls

84 calls:

Time	Variable		Point	Expression
10.0ms	u1	@	-inf	(+ (* -1 (+ 1/3 (/ 1/2 u1))) (/ -1 (* u1 u1)))
2.0ms	u2	@	inf	(* (/ (sqrt (* (+ (* (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))) 1) u1)) (sqrt (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))) (- 1 (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)))))) (cos (* (* 2 (PI)) u2)))
2.0ms	u2	@	inf	(* (sqrt (* u1 (* (+ -1/4 (/ (+ (* -1 (+ 1/3 (/ 1/2 u1))) (/ -1 (* u1 u1))) u1)) (neg (* u1 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))
2.0ms	u2	@	0	(* (/ (sqrt (* (+ (* (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))) 1) u1)) (sqrt (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))) (- 1 (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)))))) (cos (* (* 2 (PI)) u2)))
1.0ms	u2	@	0	(* (sqrt (* u1 (* (+ -1/4 (/ (+ (* -1 (+ 1/3 (/ 1/2 u1))) (/ -1 (* u1 u1))) u1)) (neg (* u1 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))

rewrite852.0ms (6%)

Memory

4.8MiB live, 557.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 116×	`-lowering-.f32`
5 116×	`-lowering-.f64`
4 262×	`accelerator-lowering-fma.f32`
4 262×	`accelerator-lowering-fma.f64`
3 026×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	467
1	310	372
2	2677	368
0	8356	330

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 653

Calls

Call 1

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

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

simplify777.0ms (5.5%)

Memory

-139.2MiB live, 956.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 704×	`accelerator-lowering-fma.f32`
10 704×	`accelerator-lowering-fma.f64`
8 230×	`-lowering-.f32`
8 230×	`-lowering-.f64`
3 402×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	6707
1	2014	5995
2	6548	5918
0	8159	5522

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
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)))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -7/18 (/ (cos (* 2 (* u2 (PI)))) u1)) (* -1/3 (cos (* 2 (* u2 (PI)))))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 7/18 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) u1))) u1)) (* -1/3 (cos (* 2 (* u2 (PI)))))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))))))
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1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/3 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)))
(* -1/4 (pow u1 3))
(* -1 (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(* (pow u1 3) (- (/ 1 (pow u1 3)) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))))
(* -1/4 (pow u1 3))
(* -1 (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* -1 (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))))
(* -1 (* (pow u1 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (- 1/2 (/ 1 u1)) u1)) 1/3) u1)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))
(+ (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* 2/3 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 4))))))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(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))))))))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))
(* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))
(* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4))))
(* 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)))
1/3
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(* -1 u1)
(/ 1/2 u1)
(/ (+ 1/2 (* 1/3 u1)) u1)
(/ (+ 1/2 (* 1/3 u1)) u1)
(/ (+ 1/2 (* 1/3 u1)) u1)
1/3
(+ 1/3 (* 1/2 (/ 1 u1)))
(+ 1/3 (* 1/2 (/ 1 u1)))
(+ 1/3 (* 1/2 (/ 1 u1)))
1/3
(+ 1/3 (* 1/2 (/ 1 u1)))
(+ 1/3 (* 1/2 (/ 1 u1)))
(+ 1/3 (* 1/2 (/ 1 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
(* 1/4 (pow u1 2))
(* (pow u1 2) (+ 1/4 (* 1/3 u1)))
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))
(* 1/16 (pow u1 6))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))
(* 1/16 (pow u1 6))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 u1)))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))

Outputs
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 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)))
(* 1/4 (pow u1 4))
(.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) u1))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
(* 1/4 (pow u1 4))
(.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) u1))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (*.f32 u1 u1)) #s(literal -1/3 binary32)) u1)))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/6 binary32)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/3 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/3 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 (.f32 u1 u1))) #s(literal 20/27 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1)))))))
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/3 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -7/18 (/ (cos (* 2 (* u2 (PI)))) u1)) (* -1/3 (cos (* 2 (* u2 (PI)))))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
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1
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(fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32)))))) (.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))))) (.f32 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal -4/45 binary32))))) (.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))))))
(* (sqrt (/ (* u1 (+ 1 (* (pow u1 3) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 3)))) (- (+ 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal 1 binary32))))))
(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 u1 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))
(* 1/2 (pow u1 2))
(.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) (.f32 u1 #s(literal 1/3 binary32)))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (*.f32 u1 #s(literal 1/3 binary32)))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))
(.f32 (.f32 u1 u1) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))
(* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))
(.f32 (.f32 u1 u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))))
(* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))
(.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4))))
(.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (.f32 #s(literal 7/36 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))) (neg.f32 u1))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4))))
(.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 7/18 binary32) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32)))))) u1) (/.f32 (*.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1/4 binary32)))) (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)))
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 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(* -1 u1)
(neg.f32 u1)
(/ 1/2 u1)
(/.f32 #s(literal 1/2 binary32) u1)
(/ (+ 1/2 (* 1/3 u1)) u1)
(/.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(/ (+ 1/2 (* 1/3 u1)) u1)
(/.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(/ (+ 1/2 (* 1/3 u1)) u1)
(/.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/2 (/ 1 u1)))
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))
(+ 1/3 (* 1/2 (/ 1 u1)))
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))
(+ 1/3 (* 1/2 (/ 1 u1)))
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/2 (/ 1 u1)))
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))
(+ 1/3 (* 1/2 (/ 1 u1)))
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))
(+ 1/3 (* 1/2 (/ 1 u1)))
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 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)))
(* 1/4 (pow u1 4))
(.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) u1))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
(* 1/4 (pow u1 4))
(.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) u1))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (*.f32 u1 u1)) #s(literal -1/3 binary32)) u1)))
(* 1/4 (pow u1 2))
(.f32 #s(literal 1/4 binary32) (.f32 u1 u1))
(* (pow u1 2) (+ 1/4 (* 1/3 u1)))
(.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/4 binary32))))
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))
(.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 13/36 binary32) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)))
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))
(.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/6 binary32) #s(literal 13/36 binary32)) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)))
(* 1/16 (pow u1 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/6 binary32) u1)))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) u1) (/.f32 #s(literal 13/36 binary32) (.f32 u1 u1)))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))
(.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1/16 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) u1) (/.f32 #s(literal 13/36 binary32) (.f32 u1 u1)))) (/.f32 #s(literal 1/3 binary32) (.f32 u1 (.f32 u1 u1)))))
(* 1/16 (pow u1 6))
(*.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/6 binary32) u1)))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1/16 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) u1) (/.f32 #s(literal 13/36 binary32) (.f32 u1 u1)))))
(* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))
(*.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 13/36 binary32)) u1)) u1)))
(* 1/2 (pow u1 2))
(.f32 u1 (.f32 u1 #s(literal 1/2 binary32)))
(* (pow u1 2) (+ 1/2 (* 1/3 u1)))
(.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))
(* 1/4 (pow u1 4))
(.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) u1))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
(* 1/4 (pow u1 4))
(.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) u1))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))

eval216.0ms (1.5%)

Memory: -14.8MiB live, 622.9MiB allocated
Compiler: Compiled 90 378 to 6 265 computations (93.1% saved)

prune246.0ms (1.7%)

Memory

-13.3MiB live, 717.1MiB allocated

Pruning

51 alts after pruning (47 fresh and 4 done)

	Pruned	Kept	Total
New	1 411	26	1 437
Fresh	11	21	32
Picked	4	1	5
Done	0	3	3
Total	1 426	51	1 477

Accuracy

99.7%

Counts

1 477 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.2%	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (.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)))))
	5.6%	(fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))) (neg.f32 (sqrt.f32 u1)))
	5.6%	(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))
	86.8%	(fma.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 u2 u2))))) (sqrt.f32 (.f32 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)))))
	94.4%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 (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))) (.f32 u1 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)))) #s(literal 1 binary32))))))
	84.2%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.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)))))
	89.5%	(.f32 (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)))
▶	94.3%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))))) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.1%	(.f32 (/.f32 (sqrt.f32 (.f32 (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))) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))) #s(literal 1 binary32)) u1)) (sqrt.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (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))) (neg.f32 u1)) (.f32 (.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) 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))) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.7%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 (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))))) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 u1 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))) #s(literal 1 binary32))))) #s(literal -1 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.1%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (.f32 (sqrt.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1))) (neg.f32 u1))) (sqrt.f32 (.f32 u1 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.0%	(.f32 (.f32 (sqrt.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1))) #s(literal -1 binary32))) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	94.7%	(.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.9%	(.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.5%	(.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	94.7%	(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.5%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) #s(literal 1 binary32))
	94.5%	(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1))) (neg.f32 u1)) (.f32 u1 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.5%	(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.6%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 u1) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.8%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.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)))
	94.5%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (-.f32 (+.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)))))))
	75.5%	(.f32 (sqrt.f32 (.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 binary32))
	94.1%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))) #s(literal 1 binary32)))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 (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))))))
	89.4%	(.f32 (sqrt.f32 (.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)))
	72.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) u1) (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1))) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.5%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	89.3%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.4%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 u1)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
	53.1%	(.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 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (-.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 u1))) (/.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (-.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
✓	56.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	48.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
▶	46.8%	(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	78.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.0%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
	92.0%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 (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))) (.f32 u1 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))) #s(literal 1 binary32)))))) #s(literal -1 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.8%	(sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal 1 binary32)))))
	76.9%	(sqrt.f32 (*.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))))
	79.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
▶	5.5%	(neg.f32 (sqrt.f32 u1))

Compiler

Compiled 3 173 to 1 857 computations (41.5% saved)

simplify400.0ms (2.8%)

Memory

1.6MiB live, 761.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))))) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))))
✓	cost-diff	0	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))))) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))
✓	cost-diff	224	(-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (*.f32 u1 u1))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	160	(/.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (*.f32 u1 u1)) u1)
✓	cost-diff	768	(.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	0	(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	160	(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
✓	cost-diff	320	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(neg.f32 (sqrt.f32 u1))
✓	cost-diff	0	(fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32))
✓	cost-diff	0	(sqrt.f32 (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
✓	cost-diff	0	(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	1536	(/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))

Rules

12 794×	`accelerator-lowering-fma.f32`
12 794×	`accelerator-lowering-fma.f64`
3 920×	`+-lowering-+.f64`
3 920×	`+-lowering-+.f32`
2 938×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	726
1	133	718
2	369	700
3	1646	688
4	3827	622
5	7399	616
0	8393	530

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize236.0ms (1.7%)

Memory

25.9MiB live, 493.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.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))
✓	accuracy	99.0%	(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))))) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.8%	(.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)))
✓	accuracy	99.2%	(.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (*.f32 u1 u1)))))
✓	accuracy	99.1%	(.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1))))
✓	accuracy	99.0%	(/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (*.f32 u1 u1))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	100.0%	(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
✓	accuracy	99.7%	(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.4%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	51.7%	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	100.0%	(neg.f32 (sqrt.f32 u1))
✓	accuracy	99.4%	(/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
✓	accuracy	99.1%	(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
✓	accuracy	99.0%	(.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))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Samples

98.0ms

256×

valid

Compiler

Compiled 670 to 56 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 28.0ms (37.8% of total)

ival-div: 10.0ms (13.5% of total)

ival-sqrt: 10.0ms (13.5% of total)

ival-add: 7.0ms (9.4% of total)

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

const: 4.0ms (5.4% of total)

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

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

ival-neg: 2.0ms (2.7% 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)

series32.0ms (0.2%)

Memory

5.3MiB live, 82.8MiB allocated

Counts

24 → 324

Calls

Call 1

Inputs
#<alt (/ (* (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))) -1) u1) (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) -1))>
#<alt (* (sqrt (/ (* (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))) -1) u1) (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) -1))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (/ (* (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))) -1) u1) (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) -1)))>
#<alt (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))) -1)>
#<alt (neg (sqrt u1))>
#<alt (sqrt u1)>
#<alt (log (/ 1 (- 1 u1)))>
#<alt (* (sqrt (log (/ 1 (- 1 u1)))) 1)>
#<alt (sqrt (log (/ 1 (- 1 u1))))>
#<alt (/ 1 (- 1 u1))>
#<alt (* (+ -1/4 (/ (/ (+ (* u1 -1/2) -1) (* u1 u1)) u1)) (neg (* u1 (* u1 u1))))>
#<alt (/ (/ (+ (* u1 -1/2) -1) (* u1 u1)) u1)>
#<alt (* (sqrt (* u1 (* (+ -1/4 (/ (/ (+ (* u1 -1/2) -1) (* u1 u1)) u1)) (neg (* u1 (* u1 u1)))))) (cos (* (* 2 (PI)) u2)))>
#<alt (sqrt (* u1 (* (+ -1/4 (/ (/ (+ (* u1 -1/2) -1) (* u1 u1)) u1)) (neg (* u1 (* u1 u1))))))>
#<alt (- (* u1 u1) (* (* u1 u1) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))))>
#<alt (- u1 (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))>
#<alt (* (/ (sqrt (- (* u1 u1) (* (* u1 u1) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))))) (sqrt (- u1 (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))))) (cos (* (* 2 (PI)) u2)))>
#<alt (/ (sqrt (- (* u1 u1) (* (* u1 u1) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))))) (sqrt (- u1 (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))>
#<alt (+ (* u1 1/4) 1/3)>
#<alt (/ (+ (* u1 -1/2) -1) (* u1 u1))>
#<alt (* u1 (* (+ -1/4 (/ (/ (+ (* u1 -1/2) -1) (* u1 u1)) u1)) (neg (* u1 (* u1 u1)))))>
#<alt (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))>

Outputs
#<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 (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) 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) (+ (* 1/6 (* (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 (* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))>
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))>
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))>
#<alt (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1)))>
#<alt (+ (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* -2 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (pow (PI) 2)))))>
#<alt (+ (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (+ (* -2 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (pow (PI) 2))) (* 2/3 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (+ (* -2 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (pow (PI) 4))))))))>
#<alt (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))>
#<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 (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))>
#<alt (* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))>
#<alt (* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4))))>
#<alt -1>
#<alt (- (* 1/4 (pow u1 2)) 1)>
#<alt (- (* (pow u1 2) (+ 1/4 (* 1/3 u1))) 1)>
#<alt (- (* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1))))) 1)>
#<alt (* 1/16 (pow u1 6))>
#<alt (* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))>
#<alt (* 1/16 (pow u1 6))>
#<alt (* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt 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 (+ (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)))>
#<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 (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))))))))>
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#<alt (* (pow u1 2) (- (/ (sqrt -1/4) (sqrt -1)) (* 1/6 (/ 1 (* u1 (* (sqrt -1) (sqrt -1/4)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (* u1 (* (sqrt -1) (sqrt -1/4))))) (* 1/6 (/ 1 (* (sqrt -1) (sqrt -1/4))))) u1)) (/ (sqrt -1/4) (sqrt -1))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (* (sqrt -1) (sqrt -1/4)))) (* -1/2 (/ (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))) (* u1 (* (sqrt -1) (sqrt -1/4)))))) u1)) (* 1/6 (/ 1 (* (sqrt -1) (sqrt -1/4))))) u1)) (/ (sqrt -1/4) (sqrt -1))))>
#<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 (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))>
#<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 (pow u1 2))>
#<alt (/ (- (* -1/2 u1) 1) (pow u1 2))>
#<alt (/ (- (* -1/2 u1) 1) (pow u1 2))>
#<alt (/ (- (* -1/2 u1) 1) (pow u1 2))>
#<alt (/ -1/2 u1)>
#<alt (* -1 (/ (+ 1/2 (/ 1 u1)) u1))>
#<alt (* -1 (/ (+ 1/2 (/ 1 u1)) u1))>
#<alt (* -1 (/ (+ 1/2 (/ 1 u1)) u1))>
#<alt (/ -1/2 u1)>
#<alt (* -1 (/ (+ 1/2 (/ 1 u1)) u1))>
#<alt (* -1 (/ (+ 1/2 (/ 1 u1)) u1))>
#<alt (* -1 (/ (+ 1/2 (/ 1 u1)) u1))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/4 (pow u1 2))))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/4 (pow u1 2))))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/2 (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))>
#<alt (* 1/4 (pow u1 4))>
#<alt (* (pow u1 4) (+ 1/4 (* 1/2 (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))>
#<alt (* (pow u1 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))>
#<alt (* 1/4 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 u1)))>
#<alt (* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))>
#<alt (* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))>
#<alt (* 1/16 (pow u1 6))>
#<alt (* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))>
#<alt (* 1/16 (pow u1 6))>
#<alt (* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))>
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))>
#<alt (* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))>

Calls

81 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	inf	(* (sqrt (log (/ 1 (- 1 u1)))) 1)
3.0ms	u2	@	inf	(* (/ (sqrt (- (* u1 u1) (* (* u1 u1) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))))) (sqrt (- u1 (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))))) (cos (* (* 2 (PI)) u2)))
1.0ms	u2	@	0	(* (sqrt (/ (* (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))) -1) u1) (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) -1))) (cos (* (* 2 (PI)) u2)))
1.0ms	u2	@	0	(* (/ (sqrt (- (* u1 u1) (* (* u1 u1) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1)))))) (sqrt (- u1 (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))))) (cos (* (* 2 (PI)) u2)))
1.0ms	u2	@	inf	(* (sqrt (/ (* (+ (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2) (* u1 u1))) -1) u1) (+ (* u1 (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) -1))) (cos (* (* 2 (PI)) u2)))

rewrite442.0ms (3.1%)

Memory

3.9MiB live, 676.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 424×	`/-lowering-/.f32`
4 424×	`/-lowering-/.f64`
4 310×	`-lowering-.f32`
4 310×	`-lowering-.f64`
2 582×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	476
1	302	302
2	2394	302
0	8217	263

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 677

Calls

Call 1

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

Outputs
(neg.f32 (*.f32 (/.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(neg.f32 (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (*.f32 (/.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))))
(/.f32 (.f32 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 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) #s(literal -1 binary32))) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))))
(/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) #s(literal -1 binary32)) (neg.f32 u1)) (neg.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (.f32 (.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)))) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal -1 binary32)) u1) (.f32 (fma.f32 (.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)))) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (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 (.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)))) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.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)))) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal -1 binary32)) u1) (.f32 (fma.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) #s(literal -1 binary32)) (neg.f32 u1))) (neg.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))))
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(/.f32 (.f32 (.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)))) (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) #s(literal -1/4 binary32))) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) #s(literal 1/8 binary32)) (.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))))) (-.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) #s(literal 1/4 binary32)) (.f32 (*.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) #s(literal 1/2 binary32))))
(/.f32 (.f32 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) #s(literal -1/4 binary32)) (.f32 u1 (*.f32 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 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (.f32 (.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)))) (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) #s(literal 1/8 binary32)))) (neg.f32 (-.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) #s(literal 1/4 binary32)) (.f32 (*.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (.f32 (.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)))) (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) #s(literal -1/4 binary32)))) (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) #s(literal 1/8 binary32)) (.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)))))) (neg.f32 (-.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) #s(literal 1/4 binary32)) (.f32 (*.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (.f32 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) #s(literal -1/4 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (neg.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 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 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 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 u1) (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(.f32 (.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)))) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 u1 u1))
(.f32 (.f32 (*.f32 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 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)
(.f32 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) u1)
(.f32 (.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1) u1)

simplify459.0ms (3.3%)

Memory

-22.7MiB live, 902.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 606×	`accelerator-lowering-fma.f32`
8 606×	`accelerator-lowering-fma.f64`
7 676×	`-lowering-.f32`
7 676×	`-lowering-.f64`
3 472×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	695	6702
1	2243	6073
2	7578	6045
0	8046	5693

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
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)))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1)))
(+ (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* -2 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (+ (* -2 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (pow (PI) 2))) (* 2/3 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (+ (* -2 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (pow (PI) 4))))))))
(* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))
(* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (cos (* 2 (* u2 (PI)))))
(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))))))))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))
(* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))
(* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4))))
-1
(- (* 1/4 (pow u1 2)) 1)
(- (* (pow u1 2) (+ 1/4 (* 1/3 u1))) 1)
(- (* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1))))) 1)
(* 1/16 (pow u1 6))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))
(* 1/16 (pow u1 6))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* (sqrt u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 2))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt 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)))))))
(+ (log -1) (log (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(log (/ -1 u1))
(+ (log (/ -1 u1)) (/ 1 u1))
(+ (log (/ -1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 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 (+ (log -1) (log (/ 1 u1))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 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)))))))))
(+ (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))))))))))
(sqrt (log (/ -1 u1)))
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 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)))
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u1
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(* 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 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 u1)))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
1/3
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(/ -1 (pow u1 2))
(/ (- (* -1/2 u1) 1) (pow u1 2))
(/ (- (* -1/2 u1) 1) (pow u1 2))
(/ (- (* -1/2 u1) 1) (pow u1 2))
(/ -1/2 u1)
(* -1 (/ (+ 1/2 (/ 1 u1)) u1))
(* -1 (/ (+ 1/2 (/ 1 u1)) u1))
(* -1 (/ (+ 1/2 (/ 1 u1)) u1))
(/ -1/2 u1)
(* -1 (/ (+ 1/2 (/ 1 u1)) u1))
(* -1 (/ (+ 1/2 (/ 1 u1)) u1))
(* -1 (/ (+ 1/2 (/ 1 u1)) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/4 (pow u1 2))))))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/4 (pow u1 2))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/2 (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))
(* (pow u1 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/2 (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))
(* (pow u1 4) (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))
(* 1/4 (pow u1 2))
(* (pow u1 2) (+ 1/4 (* 1/3 u1)))
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))
(* 1/16 (pow u1 6))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))
(* 1/16 (pow u1 6))
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))

Outputs
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 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)))
(* 1/4 (pow u1 4))
(*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))
(* 1/4 (pow u1 4))
(*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))) (.f32 #s(literal 1/4 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))
(.f32 #s(literal 1/2 binary32) (.f32 (.f32 u1 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/3 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/3 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (fma.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 u1)) #s(literal 7/18 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/3 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (fma.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 u1)) #s(literal 7/18 binary32) (fma.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 (.f32 u1 u1))) #s(literal 20/27 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))))
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))
(.f32 (.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1/4 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(.f32 (.f32 u1 u1) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (.f32 #s(literal -1/6 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1/4 binary32))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(.f32 (.f32 u1 u1) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (.f32 (.f32 #s(literal 7/36 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (*.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))) (neg.f32 u1))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))
(.f32 (.f32 u1 u1) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (.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)) (+.f32 (/.f32 #s(literal 7/18 binary32) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 #s(literal 20/27 binary32) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32)))))))) u1)) (neg.f32 u1))))
(sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1)))
(sqrt.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))))
(+ (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* -2 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (pow (PI) 2)))))
(fma.f32 (sqrt.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))) (.f32 (.f32 u2 (.f32 u2 (.f32 (PI.f32) (PI.f32)))) #s(literal -2 binary32)) (sqrt.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))))
(+ (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (+ (* -2 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (pow (PI) 2))) (* 2/3 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)) 1)) (- (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) 1))) (* (pow u2 2) (pow (PI) 4)))))))
(fma.f32 (.f32 u2 u2) (fma.f32 (sqrt.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (.f32 (sqrt.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))) (.f32 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) #s(literal 4 binary32)))) #s(literal 2/3 binary32)))) (sqrt.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) (/.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))))))
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(* (pow u1 2) (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* (pow u1 3) (sqrt -1/4)))) (+ (* -1/4 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* (pow u1 2) (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))))
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(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))
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(* (pow u1 2) (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* (pow u1 3) (sqrt -1/4)))) (+ (* -1/4 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* (pow u1 2) (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))))
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(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (pow (sqrt -1/4) 3)))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) (pow u1 3))) (+ (* -1/4 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* (pow u1 2) (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))))
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(* (* (pow u1 2) (pow (sqrt -1) 2)) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))
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(+ (* -2 (* (* (pow u1 2) (* (pow u2 2) (* (pow (PI) 2) (pow (sqrt -1) 2)))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))) (* (* (pow u1 2) (pow (sqrt -1) 2)) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))))
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(+ (* (* (pow u1 2) (pow (sqrt -1) 2)) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3)))))) (* (pow u2 2) (+ (* -2 (* (* (pow u1 2) (* (pow (PI) 2) (pow (sqrt -1) 2))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u1 2) (* (pow u2 2) (* (pow (PI) 6) (pow (sqrt -1) 2)))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))) (* 2/3 (* (* (pow u1 2) (* (pow (PI) 4) (pow (sqrt -1) 2))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))))))))
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(* (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))
(* (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))
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(* (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))
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(* (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))
(* (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))
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(* (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))
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(* (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))
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(* (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (sqrt (+ 1/4 (+ (* 1/2 (/ 1 (pow u1 2))) (/ 1 (pow u1 3))))))
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(* (sqrt u1) (pow (sqrt -1) 2))
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (pow u1 3)) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/4 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 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 -1/4 binary32))) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/8 (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))))))))
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(* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))
(.f32 (.f32 u1 u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))))
(* (pow u1 2) (+ (* -1/4 (/ (sqrt -1) (* (pow u1 2) (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))
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(* (pow u1 2) (+ (* -1/2 (/ (sqrt -1) (* (pow u1 3) (sqrt -1/4)))) (+ (* -1/4 (/ (sqrt -1) (* (pow u1 2) (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4)))))
(.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 u1 u1) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))))))
(* (pow u1 2) (+ (* -1/2 (/ (sqrt -1) (* (pow u1 3) (sqrt -1/4)))) (+ (* -1/4 (/ (sqrt -1) (* (pow u1 2) (sqrt -1/4)))) (+ (* -1/32 (/ (sqrt -1) (* (pow u1 4) (pow (sqrt -1/4) 3)))) (* (sqrt -1) (sqrt -1/4))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 u1 u1) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)) (/.f32 (.f32 #s(literal -1/32 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 #s(literal -1/4 binary32) (sqrt.f32 #s(literal -1/4 binary32)))))))))
(* (pow u1 2) (* (sqrt -1) (sqrt -1/4)))
(.f32 (.f32 u1 u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))))
(* (pow u1 2) (+ (* -1/4 (/ (sqrt -1) (* (pow u1 2) (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4))))
(.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)) (/.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1/4 binary32)))))))
(* (pow u1 2) (+ (* -1/2 (/ (sqrt -1) (* (pow u1 3) (sqrt -1/4)))) (+ (* -1/4 (/ (sqrt -1) (* (pow u1 2) (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4)))))
(.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 u1 u1) (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (/ (sqrt -1) (* u1 (pow (sqrt -1/4) 3)))) (* 1/2 (/ (sqrt -1) (sqrt -1/4)))) (pow u1 3))) (+ (* -1/4 (/ (sqrt -1) (* (pow u1 2) (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4)))))
(.f32 (.f32 u1 u1) (-.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32)) (/.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1/4 binary32)))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/4 binary32))) (/.f32 (.f32 #s(literal 1/32 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 (.f32 #s(literal -1/4 binary32) (sqrt.f32 #s(literal -1/4 binary32)))))) (.f32 u1 (.f32 u1 u1)))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* -1/4 (pow u1 2))))
(.f32 (.f32 (fma.f32 u1 (*.f32 u1 #s(literal -1/4 binary32)) #s(literal 1 binary32)) u1) u1)
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (* -1/3 u1) 1/4))))
(.f32 (.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) u1) u1)
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (* u1 (- (* -13/36 u1) 1/3)) 1/4))))
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eval176.0ms (1.2%)

Memory: 50.4MiB live, 473.1MiB allocated
Compiler: Compiled 60 063 to 5 247 computations (91.3% saved)

prune255.0ms (1.8%)

Memory

-49.7MiB live, 692.6MiB allocated

Pruning

64 alts after pruning (57 fresh and 7 done)

	Pruned	Kept	Total
New	1 259	27	1 286
Fresh	12	30	42
Picked	2	3	5
Done	0	4	4
Total	1 273	64	1 337

Accuracy

99.8%

Counts

1 337 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.2%	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (.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)))))
	5.6%	(fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))) (neg.f32 (sqrt.f32 u1)))
	74.6%	(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))
	5.6%	(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))
	72.9%	(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
	5.5%	(/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
	5.5%	(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
	94.5%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u1))))
	94.4%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 (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))) (.f32 u1 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)))) #s(literal 1 binary32))))))
	94.5%	(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u1)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u1)))))
	84.2%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.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)))))
	89.5%	(.f32 (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)))
	90.3%	(.f32 (/.f32 (sqrt.f32 (fma.f32 (exp.f32 (log.f32 u1)) (exp.f32 (log.f32 u1)) (.f32 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	70.3%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (pow.f32 (.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)))) #s(literal 6 binary32)))) (sqrt.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) u1) (fma.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (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 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (.f32 u1 u1)) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.1%	(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1)))))) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	71.0%	(.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (pow.f32 (.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)))) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (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 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (.f32 u1 u1)) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 u1)) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.7%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 (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))))) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 u1 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))) #s(literal 1 binary32))))) #s(literal -1 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.1%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.1%	(.f32 (.f32 (sqrt.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))))) (neg.f32 u1))) u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.8%	(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1)) (.f32 (sqrt.f32 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1)))) (neg.f32 u1))) u1))
✓	94.7%	(.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.9%	(.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.5%	(.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	95.5%	(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.9%	(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 13/36 binary32) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.7%	(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.7%	(.f32 (sqrt.f32 (/.f32 (.f32 #s(literal -1 binary32) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	4.0%	(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 u2 u2) (.f32 u1 (.f32 u1 (.f32 (neg.f32 (PI.f32)) (PI.f32))))) (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))
	5.6%	(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
	73.5%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (log1p.f32 u1))) #s(literal 1 binary32))
	89.4%	(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))))) (neg.f32 u1)) (.f32 u1 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	94.6%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 u1) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.8%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.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)))
	94.5%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (-.f32 (+.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)))))))
	75.5%	(.f32 (sqrt.f32 (.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 binary32))
	94.1%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))) #s(literal 1 binary32)))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 (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))))))
	89.4%	(.f32 (sqrt.f32 (.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)))
	72.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32))
	94.5%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	89.3%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.4%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)) (.f32 u1 u1)) (/.f32 (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32)) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.9%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
	53.1%	(.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 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (-.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 u1))) (/.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (-.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
✓	56.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	48.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
✓	46.8%	(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	36.4%	(*.f32 (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1 binary32))
	78.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u1)))) #s(literal -1 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u1)) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.8%	(sqrt.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32)) (/.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)))))
	76.9%	(sqrt.f32 (*.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))))
	79.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	65.0%	(sqrt.f32 u1)
✓	5.5%	(neg.f32 (sqrt.f32 u1))

Compiler

Compiled 5 199 to 1 771 computations (65.9% saved)

regimes355.0ms (2.5%)

Memory

19.6MiB live, 536.3MiB allocated

Counts

109 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (.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 binary32))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (.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))
(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))) (neg.f32 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(fma.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(sqrt.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 u2 u2) (.f32 u1 (.f32 u1 (.f32 (neg.f32 (PI.f32)) (PI.f32))))) (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.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 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (.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 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (.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 (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)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (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)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 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 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 #s(literal -1 binary32) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))))) (neg.f32 u1))) u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.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)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 u1)) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))))) (neg.f32 u1)) (.f32 u1 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 13/36 binary32) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1)) (.f32 (sqrt.f32 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1)))) (neg.f32 u1))) u1))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1))) (neg.f32 u1)) (.f32 u1 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) u1) (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1))) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(.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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
(.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (pow.f32 (.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)))) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (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 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (.f32 u1 u1)) (.f32 u1 (.f32 u1 (.f32 u1 u1))))))) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 (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))) (.f32 u1 (fma.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))) #s(literal 1 binary32)))))) #s(literal -1 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 u1)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (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) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))))) (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 #s(literal 0 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (fma.f32 (exp.f32 (log.f32 u1)) (exp.f32 (log.f32 u1)) (.f32 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))) (log1p.f32 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

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

Calls

10 calls:

84.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
35.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
29.0ms	u1
29.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
29.0ms	u2

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	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)))`
99.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes165.0ms (1.2%)

Memory

-10.9MiB live, 306.3MiB allocated

Counts

68 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (.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 binary32))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (.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))
(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))) (neg.f32 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(fma.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(sqrt.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 u2 u2) (.f32 u1 (.f32 u1 (.f32 (neg.f32 (PI.f32)) (PI.f32))))) (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.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 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (.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 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (.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 (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)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (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)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 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 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 #s(literal -1 binary32) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))))) (neg.f32 u1))) u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.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)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 u1)) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))))) (neg.f32 u1)) (.f32 u1 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 13/36 binary32) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1)) (.f32 (sqrt.f32 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1)))) (neg.f32 u1))) u1))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1))) (neg.f32 u1)) (.f32 u1 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) u1) (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1))) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1))) (neg.f32 u1))) (sqrt.f32 (.f32 u1 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1))) #s(literal -1 binary32))) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 u2 u2))))) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))))) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)) (.f32 u1 u1)) (/.f32 (-.f32 (.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32)) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 (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))) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))) #s(literal 1 binary32)) u1)) (sqrt.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1)))))) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (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))) (neg.f32 u1)) (.f32 (.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) 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))) (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1)))))) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
95.5%	1	`cosTheta_i`
95.5%	1	`u1`
95.5%	1	`u2`
95.5%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.5%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
95.5%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.5%	1	`(-.f32 #s(literal 1 binary32) u1)`
95.5%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
95.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes182.0ms (1.3%)

Memory

0.3MiB live, 196.9MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (.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 binary32))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (.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))
(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))) (neg.f32 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(fma.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(sqrt.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 u2 u2) (.f32 u1 (.f32 u1 (.f32 (neg.f32 (PI.f32)) (PI.f32))))) (-.f32 #s(literal 0 binary32) (.f32 u1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (.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 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (.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 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) (fma.f32 u1 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (.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 (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)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (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)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (.f32 u1 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 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 #s(literal -1 binary32) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))))) (neg.f32 u1))) u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.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)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 u1)) (sqrt.f32 (-.f32 u1 (.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (.f32 u1 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))))) (neg.f32 u1)) (.f32 u1 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 13/36 binary32) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 u1)) (.f32 (sqrt.f32 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1)))) (neg.f32 u1))) u1))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (.f32 u1 u1)) u1)) (neg.f32 (.f32 u1 (.f32 u1 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 13/36 binary32) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

9 calls:

40.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
28.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
14.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
14.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
14.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
94.9%	1	`cosTheta_i`
94.9%	1	`u1`
94.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.9%	1	`u2`
94.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
94.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.9%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes167.0ms (1.2%)

Memory

9.7MiB live, 132.6MiB allocated

Counts

48 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

30.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
29.0ms	(-.f32 #s(literal 1 binary32) u1)
28.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
13.0ms	cosTheta_i
13.0ms	u1

Results

Accuracy	Segments	Branch
94.7%	1	`u1`
94.7%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.7%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.7%	1	`cosTheta_i`
97.9%	2	`u2`
94.7%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.7%	1	`(-.f32 #s(literal 1 binary32) u1)`
97.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes152.0ms (1.1%)

Memory

-5.7MiB live, 151.6MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

Calls

9 calls:

31.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
31.0ms	cosTheta_i
20.0ms	(-.f32 #s(literal 1 binary32) u1)
19.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
10.0ms	u2

Results

Accuracy	Segments	Branch
94.6%	1	`cosTheta_i`
94.6%	1	`u1`
94.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
97.8%	2	`u2`
97.8%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
97.8%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes221.0ms (1.6%)

Memory

13.7MiB live, 131.6MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

59.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
53.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
51.0ms	u1
10.0ms	cosTheta_i
9.0ms	u2

Results

Accuracy	Segments	Branch
92.9%	1	`cosTheta_i`
97.0%	2	`u1`
97.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
97.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
97.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
97.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.5%	2	`u2`
97.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes79.0ms (0.6%)

Memory

7.2MiB live, 48.7MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

(*.f32 (sqrt.f32 (*.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)))

Calls

3 calls:

58.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
9.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms	u2

Results

Accuracy	Segments	Branch
97.5%	2	`u2`
97.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes216.0ms (1.5%)

Memory

5.8MiB live, 122.2MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

99.0ms	u1
55.0ms	u2
19.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
8.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
96.4%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.4%	2	`(-.f32 #s(literal 1 binary32) u1)`
96.4%	2	`u1`
96.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.4%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.9%	2	`u2`
96.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes150.0ms (1.1%)

Memory

-6.1MiB live, 74.6MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Calls

9 calls:

74.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
18.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
8.0ms	u1
8.0ms	cosTheta_i
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
89.5%	1	`cosTheta_i`
94.9%	2	`u1`
94.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.9%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.9%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.9%	2	`(-.f32 #s(literal 1 binary32) u1)`
95.5%	2	`u2`
95.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
95.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes36.0ms (0.3%)

Memory

-10.1MiB live, 29.2MiB allocated

Counts

28 → 2

Calls

Call 1

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

Calls

3 calls:

16.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
8.0ms	u2
8.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
95.5%	2	`u2`
95.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
95.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes94.0ms (0.7%)

Memory

16.7MiB live, 99.2MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

9 calls:

20.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
19.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	cosTheta_i
8.0ms	u1
8.0ms	u2

Results

Accuracy	Segments	Branch
84.2%	1	`cosTheta_i`
90.0%	2	`u1`
90.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
90.0%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
90.0%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
90.0%	2	`(-.f32 #s(literal 1 binary32) u1)`
92.4%	2	`u2`
92.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
92.4%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes101.0ms (0.7%)

Memory

-26.4MiB live, 88.9MiB allocated

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

38.0ms	u2
17.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
16.0ms	cosTheta_i
7.0ms	u1
7.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

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

Compiler

Compiled 42 to 35 computations (16.7% saved)

regimes19.0ms (0.1%)

Memory

30.7MiB live, 30.7MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs

(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.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)))))

Calls

3 calls:

6.0ms	u2
6.0ms	cosTheta_i
6.0ms	u1

Results

Accuracy	Segments	Branch
84.2%	1	`u1`
84.2%	1	`cosTheta_i`
84.2%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes26.0ms (0.2%)

Memory

-18.4MiB live, 22.9MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

17.0ms	u2
4.0ms	cosTheta_i
4.0ms	u1

Results

Accuracy	Segments	Branch
84.2%	1	`u1`
84.2%	1	`cosTheta_i`
84.2%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.1%)

Memory

-18.3MiB live, 21.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 (*.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))))

Calls

3 calls:

4.0ms	u2
4.0ms	cosTheta_i
4.0ms	u1

Results

Accuracy	Segments	Branch
76.9%	1	`u2`
76.9%	1	`u1`
76.9%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 (.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 binary32))

Calls

3 calls:

3.0ms	cosTheta_i
3.0ms	u2
3.0ms	u1

Results

Accuracy	Segments	Branch
75.5%	1	`u2`
75.5%	1	`cosTheta_i`
75.5%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32))

Calls

3 calls:

3.0ms	u2
2.0ms	u1
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
72.9%	1	`u2`
72.9%	1	`cosTheta_i`
72.9%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.1%)

Memory

-27.1MiB live, 12.6MiB allocated

Accuracy

Total -19.7b remaining (-176%)

Threshold costs -19.7b (-176%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))

Outputs
(sqrt.f32 u1)

Calls

3 calls:

12.0ms	u1
2.0ms	cosTheta_i
2.0ms	u2

Results

Accuracy	Segments	Branch
65.0%	1	`u1`
65.0%	1	`cosTheta_i`
65.0%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9995295405387878	0.9996108412742615

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9995295405387878	0.9996108412742615

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0376151017844677	0.03872350975871086

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0376151017844677	0.03872350975871086

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	0.9992503523826599	0.9992926120758057

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999971985816956	0.999997615814209

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	0.9999971985816956	0.999997615814209

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	0.9999886155128479	0.9999924302101135

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify12.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative_binary32`
4×	`neg-sub0_binary32`
4×	`neg-mul-1_binary32`
4×	`*-rgt-identity_binary32`
4×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	489
1	124	489
2	128	489
3	130	489

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)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 13/36 binary32) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16770505/16777216 binary32)) (.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16770505/16777216 binary32)) (.f32 (sqrt.f32 (.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 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 10200547/268435456 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 10200547/268435456 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (sqrt.f32 (.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))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16764801/16777216 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388587/8388608 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388587/8388608 binary32)) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 2097131/2097152 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.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 binary32))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (/.f32 (.f32 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 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1)) #s(literal -1 binary32))) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 13/36 binary32) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 13/36 binary32) #s(literal 1/3 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32))) (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)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16770505/16777216 binary32)) (.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16770505/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (.f32 u1 u1) u1))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16770505/16777216 binary32)) (.f32 (sqrt.f32 (.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 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16770505/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 10200547/268435456 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 10200547/268435456 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1) u1))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 10200547/268435456 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (sqrt.f32 (.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))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 10200547/268435456 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (.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 16764801/16777216 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16764801/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388587/8388608 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388587/8388608 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 u1 u1) u1))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388587/8388608 binary32)) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388587/8388608 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 2097131/2097152 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 2097131/2097152 binary32)) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.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 binary32))
(sqrt.f32 (*.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 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(sqrt.f32 u1)

soundness1.4s (9.8%)

Memory

-3.8MiB live, 1 588.3MiB allocated

Rules

10 704×	`accelerator-lowering-fma.f32`
10 704×	`accelerator-lowering-fma.f64`
9 722×	`accelerator-lowering-fma.f32`
9 722×	`accelerator-lowering-fma.f64`
9 332×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	56	39
2	311	39
3	2333	37
0	8636	29
0	54	467
1	310	372
2	2677	368
0	8356	330
0	827	6425
1	2646	5680
0	8139	5361
0	306	1849
1	911	1570
2	2918	1447
3	7135	1410
0	8388	1352
0	620	6707
1	2014	5995
2	6548	5918
0	8159	5522
0	49	273
1	299	255
2	2748	255
0	9898	204
0	695	6702
1	2243	6073
2	7578	6045
0	8046	5693

Stop Event

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

Compiler

Compiled 1 454 to 841 computations (42.2% saved)

preprocess166.0ms (1.2%)

Memory

1.4MiB live, 313.8MiB allocated

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1 496 to 624 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze435.0ms (3.1%)

sample1.9s (13.6%)

preprocess49.0ms (0.3%)

explain139.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize44.0ms (0.3%)

series47.0ms (0.3%)

rewrite313.0ms (2.2%)

simplify423.0ms (3%)

eval59.0ms (0.4%)

prune98.0ms (0.7%)

simplify343.0ms (2.4%)

localize226.0ms (1.6%)

series35.0ms (0.2%)

rewrite533.0ms (3.8%)

simplify458.0ms (3.2%)

eval218.0ms (1.5%)

prune279.0ms (2%)

simplify428.0ms (3%)

localize328.0ms (2.3%)

series38.0ms (0.3%)

rewrite852.0ms (6%)

simplify777.0ms (5.5%)

eval216.0ms (1.5%)

prune246.0ms (1.7%)

simplify400.0ms (2.8%)

localize236.0ms (1.7%)

series32.0ms (0.2%)

rewrite442.0ms (3.1%)

simplify459.0ms (3.3%)

eval176.0ms (1.2%)

prune255.0ms (1.8%)

regimes355.0ms (2.5%)

regimes165.0ms (1.2%)

regimes182.0ms (1.3%)

regimes167.0ms (1.2%)

regimes152.0ms (1.1%)

regimes221.0ms (1.6%)

regimes79.0ms (0.6%)

regimes216.0ms (1.5%)

regimes150.0ms (1.1%)

regimes36.0ms (0.3%)

regimes94.0ms (0.7%)

regimes101.0ms (0.7%)

regimes19.0ms (0.1%)

regimes26.0ms (0.2%)

regimes21.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes16.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.4s (9.8%)

preprocess166.0ms (1.2%)

end0.0ms (0%)

Profiling