Metrics for Beckmann Sample, near normal, slope

analyze309.0ms (2.2%)

Memory

-19.7MiB live, 471.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.1s (15.4%)

Memory

-123.0MiB live, 2 944.6MiB allocated

Samples

1.7s	8 256×	0	valid
0.0ms	1×	0	invalid

Precisions

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

const: 576.0ms (42.9% of total)

ival-mult: 156.0ms (11.6% of total)

ival-log: 140.0ms (10.4% of total)

ival-<=: 99.0ms (7.4% of total)

ival-cos: 87.0ms (6.5% of total)

ival-sub: 80.0ms (6% of total)

ival-sqrt: 71.0ms (5.3% of total)

ival-neg: 37.0ms (2.8% of total)

ival-and: 30.0ms (2.2% of total)

ival-pi: 29.0ms (2.2% of total)

ival->: 24.0ms (1.8% of total)

exact: 9.0ms (0.7% of total)

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

Bogosity

preprocess44.0ms (0.3%)

Memory

-10.2MiB live, 28.5MiB 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)

explain174.0ms (1.3%)

Memory

-28.1MiB live, 265.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
191	4	(0.9999903440475464 0.0022244465071707964 4.4866249027109006e-7)	4	(0.9999194145202637 0.012406027875840664 3.215414471924305e-5)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
2	0	-	1	(0.9999319911003113 1.7979180810812068e-8 0.25274962186813354)	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	191	17
`cos.f32`	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`	sensitivity	1	2

Confusion

	Predicted +	Predicted -
+	181	2
-	11	62

Precision

0.9427083333333334

Recall

0.9890710382513661

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	181	2	0
-	11	15	47

Precision?

0.8755980861244019

Recall?

1.0

Freqs

test

number	freq
0	64
1	192

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 8.0ms (24.7% of total)

ival-log: 8.0ms (24.7% of total)

ival-cos: 5.0ms (15.5% of total)

ival-sub: 3.0ms (9.3% of total)

ival-sqrt: 3.0ms (9.3% of total)

ival-pi: 2.0ms (6.2% of total)

ival-neg: 2.0ms (6.2% of total)

exact: 1.0ms (3.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.5%	(.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)

simplify6.0ms (0%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

40×	`-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

localize46.0ms (0.3%)

Memory

-9.8MiB live, 64.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(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	56.9%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

24.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 4.0ms (25.4% of total)

ival-log: 4.0ms (25.4% of total)

ival-cos: 2.0ms (12.7% of total)

ival-sqrt: 2.0ms (12.7% of total)

ival-pi: 1.0ms (6.4% of total)

ival-sub: 1.0ms (6.4% of total)

ival-neg: 1.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory

1.6MiB live, 83.5MiB 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
29.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	-inf	(sqrt (neg (log (- 1 u1))))
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)))

rewrite219.0ms (1.6%)

Memory

33.1MiB live, 425.3MiB 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 (neg.f32 (log1p.f32 u1)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (neg.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)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(-.f32 (log1p.f32 u1) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (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 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (log.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (log.f32 (.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) u1))) (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 u1 (neg.f32 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 u1)))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (.f32 u1 (.f32 u1 u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (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)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.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)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.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 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))))
(-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (.f32 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) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.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) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (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))) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (log1p.f32 u1))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))))
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(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1))))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 u1)))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (exp.f32 (log.f32 (log1p.f32 u1))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 4 binary32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (exp.f32 (log.f32 #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 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (*.f32 u2 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) u2))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 u2 (cbrt.f32 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 (PI.f32))))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(.f32 (.f32 u2 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))))
(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(cos.f32 (.f32 (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))))

simplify440.0ms (3.2%)

Memory

-20.9MiB live, 534.9MiB 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))))
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(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(neg.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) u1)) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (/.f32 (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))))) u1) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))))) u1) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (neg.f32 (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (-.f32 (/.f32 #s(literal 1/3 binary32) (.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(neg.f32 (log.f32 (neg.f32 u1)))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (neg.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (neg.f32 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1) (log.f32 (neg.f32 u1)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
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))))

eval65.0ms (0.5%)

Memory: -1.8MiB live, 74.3MiB allocated
Compiler: Compiled 7 585 to 1 420 computations (81.3% saved)

prune127.0ms (0.9%)

Memory

-11.9MiB live, 117.8MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	298	28	326
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	298	29	327

Accuracy

99.5%

Counts

327 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.1%	(.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)))
	72.1%	(.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.1%	(.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)))
	93.2%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.0%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.7%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.8%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	56.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.0%	(.f32 (sqrt.f32 (neg.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)))
▶	90.9%	(.f32 (sqrt.f32 (neg.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)))
	86.6%	(.f32 (sqrt.f32 (neg.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)))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (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))))))))
	54.1%	(.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)))
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.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)))
	58.4%	(.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 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))))
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	58.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	50.3%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	73.4%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.1%	(.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 1 326 to 968 computations (27% saved)

simplify124.0ms (0.9%)

Memory

16.8MiB live, 95.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f32 u1)
✓	cost-diff	0	(pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))
✓	cost-diff	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	6144	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
✓	cost-diff	64	(neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
✓	cost-diff	64	(+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))
✓	cost-diff	64	(neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))
✓	cost-diff	96	(log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
✓	cost-diff	0	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	cost-diff	0	(neg.f32 (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

1 796×	`accelerator-lowering-fma.f32`
1 796×	`accelerator-lowering-fma.f64`
794×	`-lowering-.f32`
794×	`-lowering-.f64`
398×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	372
1	120	361
2	309	353
3	722	353
4	1636	353
5	2170	353
6	2277	353
7	2289	353
8	2289	353
9	2293	353
0	2293	302

Stop Event

1×	iter limit
1×	saturated

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

localize325.0ms (2.3%)

Memory

33.6MiB live, 304.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	98.5%	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	54.4%	(log.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
✓	accuracy	28.1%	(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.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)))
✓	accuracy	99.2%	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.5%	(PI.f32)
✓	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	57.0%	(log.f32 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.6%	(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)
✓	accuracy	98.5%	(PI.f32)

Samples

96.0ms	116×	1	valid
89.0ms	136×	0	valid
13.0ms	4×	5	exit

Compiler

Compiled 372 to 51 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-log: 38.0ms (27.6% of total)

ival-pow2: 22.0ms (16% of total)

ival-mult: 19.0ms (13.8% of total)

ival-neg: 11.0ms (8% of total)

adjust: 8.0ms (5.8% of total)

ival-sqrt: 8.0ms (5.8% of total)

ival-add: 7.0ms (5.1% of total)

ival-pow: 6.0ms (4.4% of total)

ival-log1p: 6.0ms (4.4% of total)

const: 4.0ms (2.9% of total)

ival-sub: 3.0ms (2.2% of total)

ival-cos: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

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

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

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

series95.0ms (0.7%)

Memory

-8.1MiB live, 108.7MiB allocated

Counts

24 → 312

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

Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
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#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (sqrt (log (+ 1 u1)))>
#<alt (+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))>
#<alt (+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))>
#<alt (+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (pow (* 1 u1) 1/4)>
#<alt (+ (* -1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))>
#<alt (+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* 23/384 (pow (* 1 (pow u1 5)) 1/4)))) (pow (* 1 u1) 1/4))>
#<alt (+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* -39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))>
#<alt (pow (* -1 (log (/ 1 u1))) 1/4)>
#<alt (+ (* -1/4 (* (pow (/ -1 (pow (log (/ 1 u1)) 3)) 1/4) (/ 1 u1))) (pow (* -1 (log (/ 1 u1))) 1/4))>
#<alt (+ (* -1/4 (* (pow (/ -1 (pow (log (/ 1 u1)) 3)) 1/4) (/ 1 u1))) (+ (* (pow (* -1 (log (/ 1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ 1 u1)) 2)))) (pow u1 2))) (pow (* -1 (log (/ 1 u1))) 1/4)))>
#<alt (+ (* -1/4 (* (pow (/ -1 (pow (log (/ 1 u1)) 3)) 1/4) (/ 1 u1))) (+ (* (pow (* -1 (log (/ 1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ 1 u1)) 2)))) (pow u1 2))) (+ (* (pow (* -1 (log (/ 1 u1))) 1/4) (/ (- (+ (* -1/32 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (log (/ 1 u1)))) (* 1/24 (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))))) (* 1/384 (/ 1 (pow (log (/ 1 u1)) 3)))) (pow u1 3))) (pow (* -1 (log (/ 1 u1))) 1/4))))>
#<alt (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (+ (* 1/4 (* (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4) (/ 1 u1))) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (/ (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) u1))) (* -1/4 (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4))) u1)) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (/ (- (+ (* -1/24 (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))) (* 1/32 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/384 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) u1))) (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))))) u1)) (* -1/4 (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4))) u1)) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt u1>
#<alt (* u1 (+ 1 (* -1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 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))))>
#<alt (* -1 (pow u1 3))>
#<alt (* (pow u1 3) (- (* -1/2 (pow u1 3)) 1))>
#<alt (* (pow u1 3) (- (* (pow u1 3) (- (* -1/3 (pow u1 3)) 1/2)) 1))>
#<alt (* (pow u1 3) (- (* (pow u1 3) (- (* (pow u1 3) (- (* -1/4 (pow u1 3)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -3 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (/ 1 (pow u1 3)))>
#<alt (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 3)))) (pow u1 3)))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 3)))) (pow u1 6))))) (/ 1 (pow u1 3)))>
#<alt (* -3 (log (/ -1 u1)))>
#<alt (- (* -3 (log (/ -1 u1))) (/ 1 (pow u1 3)))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 3)))) (pow u1 3))))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 6)) (* 1/2 (/ 1 (pow u1 3))))) (pow u1 3))))>

Calls

78 calls:

Time	Variable		Point	Expression
23.0ms	u1	@	-inf	(pow (log (+ 1 u1)) 1/4)
13.0ms	u2	@	inf	(* (pow (pow (log (+ 1 u1)) 1/4) 2) (cos (* (* 2 (PI)) u2)))
6.0ms	u1	@	0	(log (neg (neg (+ 1 (+ (* u1 u1) u1)))))
2.0ms	u1	@	0	(log (neg (+ -1 (* u1 (* u1 u1)))))
1.0ms	u1	@	inf	(pow (log (+ 1 u1)) 1/4)

rewrite404.0ms (2.9%)

Memory

6.3MiB live, 639.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 766×	`accelerator-lowering-fma.f32`
3 766×	`accelerator-lowering-fma.f64`
3 382×	`-lowering-.f32`
3 382×	`-lowering-.f64`
3 042×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	178
1	249	175
2	1827	175
0	8767	135

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 749

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

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

simplify510.0ms (3.7%)

Memory

-0.2MiB live, 1 037.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 190×	`accelerator-lowering-fma.f32`
11 190×	`accelerator-lowering-fma.f64`
9 026×	`-lowering-.f32`
9 026×	`-lowering-.f64`
4 020×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	835	7244
1	2579	6353
0	8384	6018

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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))))
(- (+ (/ 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))))
(* -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) (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)))
(* -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))
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(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(pow (* 1 u1) 1/4)
(+ (* -1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* 23/384 (pow (* 1 (pow u1 5)) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* -1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* -39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(pow (* -1 (log (/ 1 u1))) 1/4)
(+ (* -1/4 (* (pow (/ -1 (pow (log (/ 1 u1)) 3)) 1/4) (/ 1 u1))) (pow (* -1 (log (/ 1 u1))) 1/4))
(+ (* -1/4 (* (pow (/ -1 (pow (log (/ 1 u1)) 3)) 1/4) (/ 1 u1))) (+ (* (pow (* -1 (log (/ 1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ 1 u1)) 2)))) (pow u1 2))) (pow (* -1 (log (/ 1 u1))) 1/4)))
(+ (* -1/4 (* (pow (/ -1 (pow (log (/ 1 u1)) 3)) 1/4) (/ 1 u1))) (+ (* (pow (* -1 (log (/ 1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ 1 u1)) 2)))) (pow u1 2))) (+ (* (pow (* -1 (log (/ 1 u1))) 1/4) (/ (- (+ (* -1/32 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (log (/ 1 u1)))) (* 1/24 (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))))) (* 1/384 (/ 1 (pow (log (/ 1 u1)) 3)))) (pow u1 3))) (pow (* -1 (log (/ 1 u1))) 1/4))))
(pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(+ (* 1/4 (* (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4) (/ 1 u1))) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(+ (* -1 (/ (+ (* -1 (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (/ (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) u1))) (* -1/4 (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4))) u1)) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (/ (- (+ (* -1/24 (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))) (* 1/32 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/384 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) u1))) (* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))))) u1)) (* -1/4 (pow (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)) 1/4))) u1)) (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* -1 (log (/ 1 u1)))
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 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))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (* -1/2 (pow u1 3)) 1))
(* (pow u1 3) (- (* (pow u1 3) (- (* -1/3 (pow u1 3)) 1/2)) 1))
(* (pow u1 3) (- (* (pow u1 3) (- (* (pow u1 3) (- (* -1/4 (pow u1 3)) 1/3)) 1/2)) 1))
(+ (log -1) (* -3 (log (/ 1 u1))))
(- (+ (log -1) (* -3 (log (/ 1 u1)))) (/ 1 (pow u1 3)))
(+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 3)))) (pow u1 3)))))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 3)))) (pow u1 6))))) (/ 1 (pow u1 3)))
(* -3 (log (/ -1 u1)))
(- (* -3 (log (/ -1 u1))) (/ 1 (pow u1 3)))
(+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 3)))) (pow u1 3))))
(+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 6)) (* 1/2 (/ 1 (pow u1 3))))) (pow u1 3))))

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

eval185.0ms (1.3%)

Memory: -16.3MiB live, 418.2MiB allocated
Compiler: Compiled 41 559 to 4 397 computations (89.4% saved)

prune216.0ms (1.6%)

Memory

-18.5MiB live, 602.0MiB allocated

Pruning

51 alts after pruning (47 fresh and 4 done)

	Pruned	Kept	Total
New	1 241	36	1 277
Fresh	12	11	23
Picked	2	3	5
Done	0	1	1
Total	1 255	51	1 306

Accuracy

99.7%

Counts

1 306 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.7%	(fma.f32 (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 u1)) (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))))))))
	70.5%	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
	73.4%	(.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.2%	(.f32 (pow.f32 (pow.f32 (neg.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 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.6%	(.f32 (pow.f32 (exp.f32 (log.f32 (neg.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 1/2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	90.6%	(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (sqrt.f32 (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)))
	90.6%	(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (.f32 u1 (fma.f32 u1 #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 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))) #s(literal -1 binary32)))) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal 1 binary32)) (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.5%	(.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #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)))
	93.2%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.4%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
	91.0%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.8%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
	86.7%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.8%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
	90.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (+.f32 #s(literal 0 binary32) (.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)))
	77.2%	(.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))
	90.9%	(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.8%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (fma.f32 u1 #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 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))) (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) (fma.f32 u1 u1 (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	96.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	47.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.3%	(.f32 (sqrt.f32 (neg.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 binary32))
	86.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #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 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
	83.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
	90.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) #s(literal 3 binary32))) (fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (fma.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))
	90.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
	90.9%	(.f32 (sqrt.f32 (neg.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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	90.9%	(.f32 (sqrt.f32 (neg.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)))
	77.7%	(.f32 (sqrt.f32 (neg.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))
	86.6%	(.f32 (sqrt.f32 (neg.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)))
	74.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
	90.7%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.5%	(.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)))
	90.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
▶	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.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)))
	58.4%	(.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 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))))
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	58.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	50.3%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
▶	75.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	67.0%	(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
▶	4.4%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
	88.7%	(.f32 (exp.f32 (.f32 (log.f32 (neg.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 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.5%	(sqrt.f32 (log1p.f32 u1))

Compiler

Compiled 2 587 to 1 683 computations (34.9% saved)

simplify404.0ms (2.9%)

Memory

24.6MiB live, 576.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

16 318×	`accelerator-lowering-fma.f32`
16 318×	`accelerator-lowering-fma.f64`
4 106×	`-lowering-.f32`
4 106×	`-lowering-.f64`
2 226×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	449
1	122	406
2	306	391
3	933	391
4	3525	391
5	6166	391
0	8296	340

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize287.0ms (2.1%)

Memory

13.3MiB live, 399.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(log1p.f32 (fma.f32 u1 u1 u1))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	28.1%	(log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))
✓	accuracy	99.3%	(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
✓	accuracy	99.2%	(/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	99.6%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.5%	(.f32 (sqrt.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)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	100.0%	(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	98.5%	(E.f32)
✓	accuracy	96.9%	(log.f32 (E.f32))

Samples

104.0ms	116×	1	valid
49.0ms	136×	0	valid
5.0ms	4×	5	exit

Compiler

Compiled 401 to 51 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 32.0ms (30.5% of total)

ival-log: 14.0ms (13.3% of total)

ival-sqrt: 10.0ms (9.5% of total)

adjust: 8.0ms (7.6% of total)

ival-add: 7.0ms (6.7% of total)

ival-log1p: 7.0ms (6.7% of total)

const: 6.0ms (5.7% of total)

ival-neg: 6.0ms (5.7% of total)

ival-cos: 6.0ms (5.7% of total)

ival-e: 3.0ms (2.9% of total)

ival-div: 2.0ms (1.9% of total)

ival-sub: 2.0ms (1.9% of total)

exact: 1.0ms (1% of total)

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

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

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

series111.0ms (0.8%)

Memory

19.4MiB live, 172.4MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))>
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#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3)))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (sqrt -1) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (sqrt -1) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* 1/8 (sqrt (pow u1 5))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 3) (+ (* 1/8 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 3) (+ (* 1/8 (sqrt (/ 1 u1))) (* u1 (+ (* 1/18 (sqrt u1)) (* 1/6 (sqrt (/ 1 u1))))))))>
#<alt (* 1/3 (* (sqrt (pow u1 5)) (sqrt -1)))>
#<alt (* (pow u1 3) (+ (* 1/3 (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1)))))>
#<alt (* (pow u1 3) (+ (* 1/3 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 3/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))))))>
#<alt (* (pow u1 3) (+ (* -3/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/3 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 3/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1)))))))>
#<alt (* -1/3 (* (sqrt (pow u1 5)) (sqrt -1)))>
#<alt (* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/3 (* (sqrt (/ 1 u1)) (sqrt -1))))))>
#<alt (* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -3/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* 1/3 (* (sqrt (/ 1 u1)) (sqrt -1)))))))>
#<alt (* -1 (* (pow u1 3) (+ (* -3/4 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/3 (* (sqrt (/ 1 u1)) (sqrt -1)))))))>
#<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 -1>
#<alt (- (pow u1 3) 1)>
#<alt (- (pow u1 3) 1)>
#<alt (- (pow u1 3) 1)>
#<alt (pow u1 3)>
#<alt (* (pow u1 3) (- 1 (/ 1 (pow u1 3))))>
#<alt (* (pow u1 3) (- 1 (/ 1 (pow u1 3))))>
#<alt (* (pow u1 3) (- 1 (/ 1 (pow u1 3))))>
#<alt (pow u1 3)>
#<alt (* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))>
#<alt (* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))>
#<alt (* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))>
#<alt (* -1 (pow u1 3))>
#<alt (* (pow u1 3) (- (* -1/2 (pow u1 3)) 1))>
#<alt (* (pow u1 3) (- (* (pow u1 3) (- (* -1/3 (pow u1 3)) 1/2)) 1))>
#<alt (* (pow u1 3) (- (* (pow u1 3) (- (* (pow u1 3) (- (* -1/4 (pow u1 3)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -3 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (/ 1 (pow u1 3)))>
#<alt (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 3)))) (pow u1 3)))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 3)))) (pow u1 6))))) (/ 1 (pow u1 3)))>
#<alt (* -3 (log (/ -1 u1)))>
#<alt (- (* -3 (log (/ -1 u1))) (/ 1 (pow u1 3)))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 3)))) (pow u1 3))))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 6)) (* 1/2 (/ 1 (pow u1 3))))) (pow u1 3))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))>
#<alt (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))>
#<alt (+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))))>
#<alt (+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))))))>
#<alt (+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* -1/2 u1)>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* -1/3 (pow u1 2))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1/3 (pow u1 2))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))>

Calls

66 calls:

Time	Variable		Point	Expression
54.0ms	u2	@	inf	(* (sqrt (neg (- (log (neg (+ -1 (* u1 (* u1 u1))))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2)))
22.0ms	u2	@	0	(* (* 2 (* (PI) (log (E)))) u2)
3.0ms	u1	@	0	(* (neg u1) (+ (* (+ (* u1 -1/3) -1/2) (* u1 (* u1 (+ (* u1 -1/3) -1/2)))) -1))
3.0ms	u1	@	inf	(* (/ (sqrt (* (neg u1) (+ (* (+ (* u1 -1/3) -1/2) (* u1 (* u1 (+ (* u1 -1/3) -1/2)))) -1))) (sqrt (+ (* u1 (+ (* u1 -1/3) -1/2)) 1))) (cos (* (* 2 (PI)) u2)))
2.0ms	u2	@	inf	(* (/ (sqrt (* (neg u1) (+ (* (+ (* u1 -1/3) -1/2) (* u1 (* u1 (+ (* u1 -1/3) -1/2)))) -1))) (sqrt (+ (* u1 (+ (* u1 -1/3) -1/2)) 1))) (cos (* (* 2 (PI)) u2)))

rewrite311.0ms (2.2%)

Memory

17.4MiB live, 645.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 394×	`accelerator-lowering-fma.f32`
4 394×	`accelerator-lowering-fma.f64`
4 012×	`-lowering-.f32`
4 012×	`-lowering-.f64`
3 294×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	220
1	263	159
2	1878	159
0	8952	139

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 447

Calls

Call 1

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

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

simplify417.0ms (3%)

Memory

-46.1MiB live, 769.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 302×	`accelerator-lowering-fma.f32`
10 302×	`accelerator-lowering-fma.f64`
8 050×	`-lowering-.f32`
8 050×	`-lowering-.f64`
3 470×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	734	6006
1	2287	5204
2	7975	5202
0	8037	4886

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1)))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (* (pow (log (E)) 6) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (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)))
(* -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)))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(sqrt u1)
(+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(* (sqrt u1) (cos (* 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))))
(* 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)))
u1
(* u1 (+ 1 (* -1/4 (pow u1 2))))
(* u1 (+ 1 (* (pow u1 2) (- (* -1/3 u1) 1/4))))
(* u1 (+ 1 (* (pow u1 2) (- (* u1 (- (* -1/9 u1) 1/3)) 1/4))))
(* -1/9 (pow u1 5))
(* -1 (* (pow u1 5) (+ 1/9 (* 1/3 (/ 1 u1)))))
(* (pow u1 5) (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 u1))) u1)) 1/9))
(* (pow u1 5) (- (/ 1 (pow u1 4)) (+ 1/9 (+ (/ 1/4 (pow u1 2)) (* 1/3 (/ 1 u1))))))
(* -1/9 (pow u1 5))
(* -1 (* (pow u1 5) (+ 1/9 (* 1/3 (/ 1 u1)))))
(* -1 (* (pow u1 5) (+ 1/9 (+ (/ 1/4 (pow u1 2)) (* 1/3 (/ 1 u1))))))
(* -1 (* (pow u1 5) (+ 1/9 (* -1 (/ (- (* -1 (/ (- 1/4 (/ 1 (pow u1 2))) u1)) 1/3) u1)))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/32 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/3) 3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))
(* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (- (* -1/3 u1) 1/2) 2)) 1)) (+ 1 (* u1 (- (* -1/3 u1) 1/2))))) (sqrt -1))
(+ (* -2 (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (- (* -1/3 u1) 1/2) 2)) 1)) (+ 1 (* u1 (- (* -1/3 u1) 1/2))))) (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))))) (* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (- (* -1/3 u1) 1/2) 2)) 1)) (+ 1 (* u1 (- (* -1/3 u1) 1/2))))) (sqrt -1)))
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Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
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1
#s(literal 1 binary32)
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(cos (* 2 (* u2 (PI))))
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u1
(* u1 (+ 1 (* -1/4 (pow u1 2))))
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(* u1 (+ 1 (* (pow u1 2) (- (* -1/3 u1) 1/4))))
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(* u1 (+ 1 (* (pow u1 2) (- (* u1 (- (* -1/9 u1) 1/3)) 1/4))))
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(* -1/9 (pow u1 5))
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(* -1 (* (pow u1 5) (+ 1/9 (* 1/3 (/ 1 u1)))))
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(* -1/9 (pow u1 5))
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(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))
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(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))))
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(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))
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(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/3) 3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))))))
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(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (.f32 (sqrt.f32 #s(literal -1/3 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3))))))
(.f32 (.f32 u1 u1) (fma.f32 (.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1/3 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 #s(literal -1/3 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))
(.f32 (.f32 u1 u1) (fma.f32 (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 #s(literal -1/3 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 #s(literal -1/3 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/3)))))))
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(* (sqrt (/ (* u1 (- (* (pow u1 2) (pow (- (* -1/3 u1) 1/2) 2)) 1)) (+ 1 (* u1 (- (* -1/3 u1) 1/2))))) (sqrt -1))
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u1
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(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1)))) u1) (.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(fma.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (fma.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (neg.f32 (log.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) #s(literal 1/3 binary32)) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1))))) u1)) (neg.f32 u1)))
(sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3)))))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 (neg.f32 u1) u1)))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))))
(.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 (neg.f32 u1) u1))))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 (neg.f32 u1) u1))))) (fma.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 (neg.f32 u1) u1))))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))))))))
(fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 (neg.f32 u1) u1))))) (.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 (neg.f32 u1) u1))))) (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))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 (neg.f32 u1) u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 (neg.f32 u1) u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 (neg.f32 u1) u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 (neg.f32 u1) u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 (neg.f32 u1) u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 (neg.f32 u1) u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 (neg.f32 u1) u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (*.f32 (neg.f32 u1) u1))))))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* -1/2 u1)
(*.f32 u1 #s(literal -1/2 binary32))
(* u1 (- (* -1/3 u1) 1/2))
(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
(* u1 (- (* -1/3 u1) 1/2))
(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
(* u1 (- (* -1/3 u1) 1/2))
(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
(* -1/3 (pow u1 2))
(.f32 u1 (.f32 u1 #s(literal -1/3 binary32)))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (neg.f32 u1) u1))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (neg.f32 u1) u1))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (neg.f32 u1) u1))
(* -1/3 (pow u1 2))
(.f32 u1 (.f32 u1 #s(literal -1/3 binary32)))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (neg.f32 u1) u1))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (neg.f32 u1) u1))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (.f32 (neg.f32 u1) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -2/3 binary32) #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal -2/3 binary32)) #s(literal 1/2 binary32)) u1)
(* -2 (log (/ 1 u1)))
(neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)))
(+ (* -2 (log (/ 1 u1))) (/ 1 u1))
(fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))
(fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) u1) u1)))
(* -2 (log (/ -1 u1)))
(*.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(fma.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(fma.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(fma.f32 (neg.f32 (log.f32 (neg.f32 u1))) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) (neg.f32 u1))) (neg.f32 u1)))

eval95.0ms (0.7%)

Memory: 22.8MiB live, 212.2MiB allocated
Compiler: Compiled 28 005 to 3 363 computations (88% saved)

prune154.0ms (1.1%)

Memory

7.0MiB live, 325.3MiB allocated

Pruning

58 alts after pruning (52 fresh and 6 done)

	Pruned	Kept	Total
New	897	20	917
Fresh	10	32	42
Picked	3	2	5
Done	0	4	4
Total	910	58	968

Accuracy

99.7%

Counts

968 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.0%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (sqrt.f32 u1) #s(literal -2 binary32))) (sqrt.f32 u1))
	90.6%	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
	90.6%	(-.f32 (/.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 binary32) (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
	73.4%	(.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.0%	(.f32 (pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.7%	(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (.f32 #s(literal -1/4 binary32) (.f32 u1 u1)) u1)) (sqrt.f32 (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)))
▶	83.8%	(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
	77.4%	(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))
	92.0%	(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (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)))
▶	90.6%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (neg.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)))
	90.2%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.5%	(.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #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)))
	93.2%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.4%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
	91.0%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.8%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
	86.7%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.8%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
	90.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (+.f32 #s(literal 0 binary32) (.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)))
	77.2%	(.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))
	90.9%	(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (-.f32 (log.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 u1))) (log.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	81.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(literal 1 binary32))
	47.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (log.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal 1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.5%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))
	79.3%	(.f32 (sqrt.f32 (neg.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 binary32))
	86.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #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 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
	83.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
	90.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))
▶	90.9%	(.f32 (sqrt.f32 (neg.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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	90.9%	(.f32 (sqrt.f32 (neg.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)))
	77.7%	(.f32 (sqrt.f32 (neg.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))
	86.6%	(.f32 (sqrt.f32 (neg.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)))
	74.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
	90.7%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.5%	(.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)))
	90.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
▶	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
✓	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.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)))
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	58.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	50.3%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	71.0%	(.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
	75.3%	(.f32 (sqrt.f32 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 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))))
✓	75.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.1%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.9%	(.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)))
	65.5%	(sqrt.f32 (log1p.f32 u1))
▶	67.0%	(sqrt.f32 u1)
	4.4%	(neg.f32 (sqrt.f32 u1))

Compiler

Compiled 2 649 to 1 837 computations (30.7% saved)

simplify284.0ms (2.1%)

Memory

17.1MiB live, 376.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.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) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	cost-diff	64	(neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
✓	cost-diff	3200	(log.f32 (E.f32))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
✓	cost-diff	0	(sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32))))
✓	cost-diff	0	(/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
✓	cost-diff	64	(.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
✓	cost-diff	64	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓	cost-diff	64	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
✓	cost-diff	4000	(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))

Rules

8 988×	`accelerator-lowering-fma.f32`
8 988×	`accelerator-lowering-fma.f64`
3 468×	`-lowering-.f32`
3 468×	`-lowering-.f64`
2 728×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	572
1	167	562
2	488	540
3	1757	477
4	4743	477
0	8148	419

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize250.0ms (1.8%)

Memory

-23.6MiB live, 447.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	98.5%	(E.f32)
✓	accuracy	96.9%	(log.f32 (E.f32))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
✓	accuracy	99.2%	(*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	99.3%	(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
✓	accuracy	99.2%	(/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.1%	(-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	98.5%	(PI.f32)
✓	accuracy	35.2%	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))

Samples

86.0ms	188×	0	valid
49.0ms	64×	1	valid
7.0ms	4×	5	exit

Compiler

Compiled 497 to 62 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 48.0ms (42.5% of total)

ival-sqrt: 12.0ms (10.6% of total)

ival-cos: 11.0ms (9.7% of total)

ival-add: 8.0ms (7.1% of total)

adjust: 7.0ms (6.2% of total)

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

const: 4.0ms (3.5% of total)

ival-neg: 4.0ms (3.5% of total)

ival-log: 4.0ms (3.5% of total)

ival-sub: 3.0ms (2.7% of total)

ival-log1p: 3.0ms (2.7% of total)

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

exact: 1.0ms (0.9% of total)

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

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

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

series21.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

24 → 276

Calls

Call 1

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

Outputs
#<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>
#<alt (+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u2 2) (pow (PI) 2))>
#<alt (* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))>
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))>
#<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))))>
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#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* 1/4 (* (sqrt (pow u1 3)) (/ 1 (pow (sqrt -1) 2))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* 1/24 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (/ 1 (pow (sqrt -1) 2))))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (/ 1 (pow (sqrt -1) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 5/24 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) (* 1/24 (* (sqrt (/ 1 u1)) (/ 1 (pow (sqrt -1) 2))))))))) u1)>
#<alt (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -3) (sqrt -1)))>
#<alt (/ (+ (* 9/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sqrt -3) (sqrt -1))))) (* (sqrt (/ 1 u1)) (/ (sqrt -3) (sqrt -1)))) u1)>
#<alt (/ (+ (* 9/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (sqrt -3) (sqrt -1))))) (+ (* 9/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sqrt -3) (sqrt -1))))) (* (sqrt (/ 1 u1)) (/ (sqrt -3) (sqrt -1))))) u1)>
#<alt (/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 135/8 (* 81/16 (/ u1 (pow (sqrt -3) 2)))) (* (sqrt -3) (sqrt -1))))) (+ (* 9/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (sqrt -3) (sqrt -1))))) (+ (* 9/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (sqrt -3) (sqrt -1))))) (* (sqrt (/ 1 u1)) (/ (sqrt -3) (sqrt -1)))))) u1)>
#<alt (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (sqrt -3) (sqrt -1))))>
#<alt (* -1 (/ (+ (* -9/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -3)))) (* (sqrt (/ 1 u1)) (* (sqrt -3) (sqrt -1)))) u1))>
#<alt (* -1 (/ (+ (* -9/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -3)))) (+ (* -9/8 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -3)))) (* (sqrt (/ 1 u1)) (* (sqrt -3) (sqrt -1))))) u1))>
#<alt (* -1 (/ (+ (* -9/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -3)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (* (sqrt -1) (- 135/8 (* -81/16 (/ u1 (pow (sqrt -3) 2))))) (sqrt -3)))) (* 9/8 (* (sqrt u1) (/ (sqrt -1) (sqrt -3))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (* (sqrt -3) (sqrt -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 (* 1/3 u1)))))>
#<alt (* 1/3 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* 1/3 (pow u1 3))>
#<alt (* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/32 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))))))))>
#<alt (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3))))))>
#<alt (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))))))>
#<alt (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (sqrt -1/3))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (sqrt -1/3))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (sqrt -1/3)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (sqrt -1/3)))))))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (sqrt -1))>
#<alt (+ (* -2 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1)))))) (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (sqrt -1)))>
#<alt (+ (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))))) (* 2/3 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1)))))))))>
#<alt (+ (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 6) (* (pow (log (E)) 6) (sqrt -1)))))) (* 2/3 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1))))))))))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* -1/2 u1)>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* -1/3 (pow u1 2))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1/3 (pow u1 2))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 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 (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>
#<alt (* 2 (* u2 (* (PI) (log (E)))))>

Calls

69 calls:

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

rewrite388.0ms (2.8%)

Memory

19.9MiB live, 722.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 634×	`-lowering-.f32`
5 634×	`-lowering-.f64`
3 926×	`accelerator-lowering-fma.f32`
3 926×	`accelerator-lowering-fma.f64`
2 342×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	323
1	329	210
2	2489	208
0	8516	195

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 988

Calls

Call 1

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

Outputs
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(cos.f32 (fma.f32 (PI.f32) u2 (*.f32 (PI.f32) u2)))
(+.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
(+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))
(+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
(+.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32)) (.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
(+.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))
(+.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32)) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(pow.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 4 binary32))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 0 binary32)))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))
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(pow.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))
(sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(cbrt.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (PI.f32) (PI.f32))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (PI.f32) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (PI.f32)) (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(+.f32 (.f32 u1 #s(literal -1/2 binary32)) (.f32 #s(literal -1/3 binary32) (*.f32 u1 u1)))
(+.f32 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)) (*.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 u1 (.f32 u1 #s(literal -1/3 binary32)) (.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 u1 #s(literal -1/2 binary32) (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)))
(fma.f32 #s(literal -1/3 binary32) (.f32 u1 u1) (.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (.f32 u1 #s(literal -1/3 binary32)) u1 (.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 #s(literal -1/2 binary32) u1 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)))
(fma.f32 (.f32 u1 u1) #s(literal -1/3 binary32) (.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32)) (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal -1/8 binary32) (.f32 u1 (.f32 u1 u1)))) (fma.f32 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)) (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)) (-.f32 (.f32 (.f32 u1 #s(literal -1/2 binary32)) (.f32 u1 #s(literal -1/2 binary32))) (.f32 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)) (*.f32 u1 #s(literal -1/2 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)) (.f32 #s(literal -1/3 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 #s(literal -1/2 binary32)) (.f32 u1 #s(literal -1/2 binary32)))) (-.f32 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)) (*.f32 u1 #s(literal -1/2 binary32))))
(/.f32 (.f32 u1 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32) #s(literal -1/8 binary32))) (fma.f32 (.f32 u1 u1) #s(literal 1/9 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1/6 binary32)))))
(/.f32 (.f32 u1 (fma.f32 (.f32 u1 u1) #s(literal 1/9 binary32) #s(literal -1/4 binary32))) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32) #s(literal -1/8 binary32)) u1) (fma.f32 (.f32 u1 u1) #s(literal 1/9 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1/6 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/9 binary32) #s(literal -1/4 binary32)) u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))
(.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))
(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
(.f32 u1 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) u1)
(.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 #s(literal 1 binary32)))
(.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal 1 binary32))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 1 binary32) u2))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(E.f32)
(exp.f32 #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/3 binary32))) #s(literal 3 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 2 binary32)))
(fabs.f32 (E.f32))
(pow.f32 (E.f32) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal 1/2 binary32))
(pow.f32 (.f32 (E.f32) (.f32 (E.f32) (E.f32))) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (E.f32)) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (E.f32) (E.f32)))
(cbrt.f32 (.f32 (E.f32) (.f32 (E.f32) (E.f32))))
(*.f32 #s(literal 1 binary32) (E.f32))
(*.f32 (E.f32) #s(literal 1 binary32))
(*.f32 (exp.f32 #s(literal 1/3 binary32)) (pow.f32 (E.f32) #s(literal 2/3 binary32)))
(*.f32 (exp.f32 #s(literal 1/3 binary32)) (log.f32 (exp.f32 (pow.f32 (E.f32) #s(literal 2/3 binary32)))))
(*.f32 (exp.f32 #s(literal 1/3 binary32)) (sqrt.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32))))
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(*.f32 (sqrt.f32 (E.f32)) (sqrt.f32 (E.f32)))
(*.f32 (sqrt.f32 (E.f32)) (log.f32 (exp.f32 (sqrt.f32 (E.f32)))))
(.f32 (sqrt.f32 (sqrt.f32 (E.f32))) (sqrt.f32 (.f32 (E.f32) (sqrt.f32 (E.f32)))))
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(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (E.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (E.f32))) #s(literal 3 binary32)))
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(.f32 (pow.f32 (.f32 (*.f32 (E.f32) (E.f32)) (pow.f32 (E.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (exp.f32 #s(literal 1/3 binary32))))
(.f32 (pow.f32 (.f32 (*.f32 (E.f32) (E.f32)) (sqrt.f32 (E.f32))) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (E.f32))))
(.f32 (cbrt.f32 (.f32 (E.f32) (sqrt.f32 (E.f32)))) (cbrt.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32)))))
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(.f32 (sqrt.f32 (.f32 (E.f32) (sqrt.f32 (E.f32)))) (sqrt.f32 (sqrt.f32 (E.f32))))
(.f32 (sqrt.f32 (cbrt.f32 (.f32 (.f32 (E.f32) (E.f32)) (.f32 (E.f32) (E.f32))))) (exp.f32 #s(literal 1/3 binary32)))
(.f32 (sqrt.f32 (.f32 (E.f32) (pow.f32 (E.f32) #s(literal 2/3 binary32)))) (pow.f32 (E.f32) #s(literal 1/6 binary32)))
(log.f32 (exp.f32 (E.f32)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 (PI.f32) (.f32 u2 #s(literal 2 binary32)))
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 1 binary32) u2))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))

simplify543.0ms (3.9%)

Memory

-16.1MiB live, 619.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 108×	`accelerator-lowering-fma.f32`
8 108×	`accelerator-lowering-fma.f64`
6 342×	`-lowering-.f32`
6 342×	`-lowering-.f64`
4 588×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	739	6896
1	2327	6331
2	5548	6267
0	8140	5865

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
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))))
1
(+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(* (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)
(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 (* -1/4 (pow u1 2))))
(* u1 (+ 1 (* (pow u1 2) (- (* -1/3 u1) 1/4))))
(* u1 (+ 1 (* (pow u1 2) (- (* u1 (- (* -1/9 u1) 1/3)) 1/4))))
(* -1/9 (pow u1 5))
(* -1 (* (pow u1 5) (+ 1/9 (* 1/3 (/ 1 u1)))))
(* (pow u1 5) (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 u1))) u1)) 1/9))
(* (pow u1 5) (- (/ 1 (pow u1 4)) (+ 1/9 (+ (/ 1/4 (pow u1 2)) (* 1/3 (/ 1 u1))))))
(* -1/9 (pow u1 5))
(* -1 (* (pow u1 5) (+ 1/9 (* 1/3 (/ 1 u1)))))
(* -1 (* (pow u1 5) (+ 1/9 (+ (/ 1/4 (pow u1 2)) (* 1/3 (/ 1 u1))))))
(* -1 (* (pow u1 5) (+ 1/9 (* -1 (/ (- (* -1 (/ (- 1/4 (/ 1 (pow u1 2))) u1)) 1/3) u1)))))
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* -1/6 (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* u1 (+ (* -1/6 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* -1/32 (* (sqrt (/ 1 u1)) (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (pow (sqrt -1) 2)))))))))
(* (sqrt (pow u1 3)) (* (sqrt -1) (* (sqrt -1/3) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
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(* (sqrt u1) (pow (sqrt -1) 2))
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(* (sqrt u1) (pow (sqrt -1) 2))
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(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/6 (sqrt (/ 1 u1))) (* -1/32 (* (sqrt (/ 1 u1)) (/ 1 (pow (sqrt -1) 2)))))))))
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(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (pow (sqrt -1/3) 3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3)))))))
(* (sqrt (pow u1 3)) (* (sqrt -1) (sqrt -1/3)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3)))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (sqrt -1) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (sqrt -1) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt -1/3))))))
u1
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(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (sqrt -1))
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(/ (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (/ 1 (pow (sqrt -1) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 5/24 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) (* 1/24 (* (sqrt (/ 1 u1)) (/ 1 (pow (sqrt -1) 2))))))))) u1)
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u1
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(* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (* (PI) (log (E)))))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/32 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt 1/3)))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (sqrt -1/3))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (sqrt -1/3))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (sqrt -1/3)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt -1/3)))) (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (pow (sqrt -1/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (* (sqrt -1) (sqrt -1/3)))))))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (sqrt -1))
(+ (* -2 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1)))))) (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (sqrt -1)))
(+ (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))))) (* 2/3 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1)))))))))
(+ (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow (PI) 2) (* (pow (log (E)) 2) (sqrt -1))))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow u2 2) (* (pow (PI) 6) (* (pow (log (E)) 6) (sqrt -1)))))) (* 2/3 (* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (pow (PI) 4) (* (pow (log (E)) 4) (sqrt -1))))))))))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* -1/2 u1)
(* u1 (- (* -1/3 u1) 1/2))
(* u1 (- (* -1/3 u1) 1/2))
(* u1 (- (* -1/3 u1) 1/2))
(* -1/3 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1/3 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 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)))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))
(* 2 (* u2 (* (PI) (log (E)))))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (*.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 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 #s(literal -4/45 binary32) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 6 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))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (.f32 u2 u2) (neg.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (.f32 u2 u2) (fma.f32 (PI.f32) (neg.f32 (PI.f32)) (.f32 (.f32 #s(literal 1/3 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))
(fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 6 binary32))) #s(literal -2/45 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32))) (neg.f32 (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(* (pow u2 2) (pow (PI) 2))
(.f32 (.f32 u2 u2) (*.f32 (PI.f32) (PI.f32)))
(* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (fma.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal -1/3 binary32) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 #s(literal 2/45 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))) (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32) (.f32 (.f32 #s(literal -1/315 binary32) (.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 8 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))) (*.f32 (PI.f32) (PI.f32))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (sqrt.f32 u1) (neg.f32 (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)))) (pow (sqrt -1) 2))))
(fma.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(+ (* (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 (sqrt.f32 u1) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.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))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #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) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
(* (* (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 (.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))) (.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)) 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))))))))
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(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* (sqrt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))) (* (cos (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* -1/2 u1)
(*.f32 u1 #s(literal -1/2 binary32))
(* u1 (- (* -1/3 u1) 1/2))
(*.f32 u1 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)))
(* u1 (- (* -1/3 u1) 1/2))
(*.f32 u1 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)))
(* u1 (- (* -1/3 u1) 1/2))
(*.f32 u1 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)))
(* -1/3 (pow u1 2))
(.f32 #s(literal -1/3 binary32) (.f32 u1 u1))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 (.f32 u1 u1)))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 (.f32 u1 u1)))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 (.f32 u1 u1)))
(* -1/3 (pow u1 2))
(.f32 #s(literal -1/3 binary32) (.f32 u1 u1))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 (.f32 u1 u1)))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 (.f32 u1 u1)))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 (.f32 u1 u1)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (* (PI) (log (E)))))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))

eval462.0ms (3.3%)

Memory: 7.5MiB live, 279.2MiB allocated
Compiler: Compiled 61 287 to 4 840 computations (92.1% saved)

prune393.0ms (2.8%)

Memory

-0.4MiB live, 494.1MiB allocated

Pruning

77 alts after pruning (70 fresh and 7 done)

	Pruned	Kept	Total
New	1 447	34	1 481
Fresh	11	36	47
Picked	4	1	5
Done	0	6	6
Total	1 462	77	1 539

Accuracy

99.9%

Counts

1 539 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.0%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (sqrt.f32 u1) #s(literal -2 binary32))) (sqrt.f32 u1))
	84.0%	(fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
	67.0%	(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
	83.7%	(/.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
	83.9%	(/.f32 (.f32 (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))))) #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (*.f32 u2 #s(literal -2 binary32)))) #s(literal -1 binary32)))
	83.6%	(/.f32 (.f32 (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))))
	83.8%	(/.f32 (.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (*.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
	90.6%	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
	83.7%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (*.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32)))))
	90.6%	(-.f32 (/.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 binary32) (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
	98.7%	(+.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
	84.0%	(+.f32 (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))))) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
	83.9%	(.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
	73.4%	(.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	84.9%	(.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (.f32 #s(literal -1/4 binary32) (.f32 u1 u1)) u1)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
	91.9%	(.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (.f32 #s(literal -1/4 binary32) (.f32 u1 u1)) u1)) (sqrt.f32 (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)))
	84.9%	(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
	92.0%	(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	81.1%	(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
	80.8%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
	88.5%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 u1) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/24 binary32)))) (sqrt.f32 u1)) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.4%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 u1)) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.4%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.7%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32))))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
	83.6%	(.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (sqrt.f32 u1)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
	90.5%	(.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #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)))
	93.2%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.4%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
	91.0%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.8%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
	86.7%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.8%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
	86.7%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 #s(literal 1/2 binary32) u1) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	77.2%	(.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))
	56.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))) (-.f32 (log.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 u1))) (log.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	81.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1))))) (log1p.f32 (fma.f32 u1 u1 u1))))) #s(literal 1 binary32))
	90.5%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))
	79.3%	(.f32 (sqrt.f32 (neg.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 binary32))
	86.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #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 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
	83.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
✓	90.9%	(.f32 (sqrt.f32 (neg.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)))
	77.7%	(.f32 (sqrt.f32 (neg.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))
	86.6%	(.f32 (sqrt.f32 (neg.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)))
	74.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
	90.7%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.5%	(.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)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
	33.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
	33.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
	90.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.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))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.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) (/.f32 (fma.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))))
✓	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	83.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	58.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	50.3%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
	71.0%	(.f32 (sqrt.f32 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
	75.3%	(.f32 (sqrt.f32 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 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)))))))
	75.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	75.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	3.7%	(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
	86.9%	(.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)))
	65.5%	(sqrt.f32 (log1p.f32 u1))
✓	67.0%	(sqrt.f32 u1)
	4.4%	(neg.f32 (sqrt.f32 u1))

Compiler

Compiled 4 904 to 1 887 computations (61.5% saved)

regimes390.0ms (2.8%)

Memory

9.0MiB live, 643.1MiB allocated

Counts

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

Outputs

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

Calls

10 calls:

64.0ms	(-.f32 #s(literal 1 binary32) u1)
60.0ms	cosTheta_i
37.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
36.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
32.0ms	u1

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`u1`
98.9%	1	`u2`
98.9%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
98.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes602.0ms (4.3%)

Memory

-18.9MiB live, 621.5MiB allocated

Counts

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

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:

95.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
83.0ms	u1
82.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.0ms	(-.f32 #s(literal 1 binary32) u1)
62.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
98.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
98.9%	1	`cosTheta_i`
98.9%	1	`u1`
98.9%	1	`u2`
98.9%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes315.0ms (2.3%)

Memory

5.4MiB live, 336.8MiB allocated

Counts

65 → 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 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.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 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.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 binary32))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (sqrt.f32 u1) #s(literal -2 binary32))) (sqrt.f32 u1))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (sqrt.f32 u1)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(/.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (.f32 #s(literal -1/4 binary32) (.f32 u1 u1)) u1)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))))) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(/.f32 (.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (*.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32))))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (.f32 (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))))) #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (*.f32 u2 #s(literal -2 binary32)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (*.f32 u2 #s(literal -2 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 (.f32 (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.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 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.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 (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)))
(.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #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 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #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 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (.f32 #s(literal -1/4 binary32) (.f32 u1 u1)) u1)) (sqrt.f32 (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 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (neg.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 u1)) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))
(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (sqrt.f32 (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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (+.f32 #s(literal 0 binary32) (.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 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 u1) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/24 binary32)))) (sqrt.f32 u1)) u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) (sqrt.f32 (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 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

Calls

10 calls:

58.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
45.0ms	cosTheta_i
41.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
33.0ms	(-.f32 #s(literal 1 binary32) u1)
33.0ms	u2

Results

Accuracy	Segments	Branch
93.2%	1	`cosTheta_i`
96.8%	2	`u1`
97.4%	2	`u2`
97.5%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
96.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.4%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes190.0ms (1.4%)

Memory

-13.7MiB live, 108.5MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

71.0ms	u2
71.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
35.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
11.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
97.1%	2	`u2`
97.1%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
97.2%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes179.0ms (1.3%)

Memory

23.1MiB live, 221.0MiB allocated

Counts

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

Outputs

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

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

Calls

9 calls:

70.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
24.0ms	u1
15.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
12.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
12.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
95.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.3%	2	`(-.f32 #s(literal 1 binary32) u1)`
95.3%	2	`u1`
95.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.3%	2	`u2`
96.3%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
96.0%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes139.0ms (1%)

Memory

-27.1MiB live, 289.5MiB allocated

Counts

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

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))

Calls

10 calls:

32.0ms	u1
13.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
13.0ms	u2
12.0ms	cosTheta_i
12.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
93.1%	2	`u1`
93.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
93.1%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.1%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
93.1%	2	`(-.f32 #s(literal 1 binary32) u1)`
94.0%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
86.7%	1	`cosTheta_i`
94.3%	2	`u2`
94.3%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes111.0ms (0.8%)

Memory

22.0MiB live, 218.9MiB allocated

Counts

35 → 3

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

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))

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

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

Calls

9 calls:

26.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms	(-.f32 #s(literal 1 binary32) u1)
11.0ms	u1
10.0ms	u2
10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
88.5%	2	`u1`
88.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
88.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
88.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
88.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
89.5%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
93.5%	3	`u2`
93.5%	3	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
93.5%	3	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes57.0ms (0.4%)

Memory

-9.0MiB live, 150.2MiB allocated

Counts

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

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))

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

Calls

5 calls:

12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms	u2
11.0ms	cosTheta_i
10.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
10.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
88.7%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
84.9%	1	`cosTheta_i`
89.2%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
89.3%	2	`u2`
89.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 41 to 35 computations (14.6% saved)

regimes93.0ms (0.7%)

Memory

18.5MiB live, 259.9MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

15.0ms	u1
10.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
10.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms	(-.f32 #s(literal 1 binary32) u1)
9.0ms	u2

Results

Accuracy	Segments	Branch
84.9%	1	`u1`
84.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
84.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
84.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
84.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
84.9%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
84.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
84.9%	1	`u2`
84.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes75.0ms (0.5%)

Memory

-6.2MiB live, 269.5MiB allocated

Counts

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

Outputs

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
84.9%	1	`u1`
84.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
84.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
84.9%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
84.9%	1	`cosTheta_i`
84.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
84.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
84.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
84.9%	1	`u2`
84.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes116.0ms (0.8%)

Memory

17.1MiB live, 176.4MiB allocated

Counts

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

Outputs

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

Calls

10 calls:

35.0ms	u2
29.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
7.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
6.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
84.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
84.0%	1	`u1`
84.0%	1	`u2`
84.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
84.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
84.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
84.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
84.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
84.0%	1	`cosTheta_i`
84.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes69.0ms (0.5%)

Memory

-30.8MiB live, 169.4MiB 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 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.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 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.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 binary32))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (sqrt.f32 u1) #s(literal -2 binary32))) (sqrt.f32 u1))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (sqrt.f32 u1)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(/.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) (sqrt.f32 (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 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))

Calls

10 calls:

10.0ms	cosTheta_i
7.0ms	u2
7.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
6.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
83.9%	1	`cosTheta_i`
83.9%	1	`u1`
83.9%	1	`u2`
83.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
83.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
83.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
83.9%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
83.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
83.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
83.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes52.0ms (0.4%)

Memory

22.6MiB live, 138.1MiB allocated

Counts

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

Outputs

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
83.9%	1	`cosTheta_i`
83.9%	1	`u1`
83.9%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
83.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
83.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
83.9%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
83.9%	1	`u2`
83.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
83.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
83.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes51.0ms (0.4%)

Memory

9.5MiB live, 127.7MiB 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 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.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 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.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 binary32))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (sqrt.f32 u1) #s(literal -2 binary32))) (sqrt.f32 u1))

Outputs
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))

Calls

10 calls:

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

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes42.0ms (0.3%)

Memory

-14.2MiB live, 105.6MiB allocated

Counts

10 → 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 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.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 u1) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))

Outputs
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))

Calls

10 calls:

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

Results

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

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes29.0ms (0.2%)

Memory

-1.3MiB live, 75.6MiB 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 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
74.8%	1	`cosTheta_i`
74.8%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
74.8%	1	`u1`
74.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
74.8%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
74.8%	1	`u2`
74.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
74.8%	1	`(-.f32 #s(literal 1 binary32) u1)`
74.8%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
74.8%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes24.0ms (0.2%)

Memory

-5.2MiB live, 76.1MiB allocated

Accuracy

Total -20.3b remaining (-192.7%)

Threshold costs -20.3b (-192.7%)

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

10 calls:

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

Results

Accuracy	Segments	Branch
67.0%	1	`u1`
67.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
67.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
67.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
67.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
67.0%	1	`cosTheta_i`
67.0%	1	`u2`
67.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
67.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
67.0%	1	`(-.f32 #s(literal 1 binary32) u1)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.16188813745975494	0.16222929954528809

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08082010596990585	0.08287587761878967

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1360396146774292	0.17787769436836243

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999997019767761	0.9999997615814209

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.17787769436836243	0.25195610523223877
0.0ms	0.0003745976136997342	0.00040373398223891854

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0003745976136997342	0.00040373398223891854

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify25.0ms (0.2%)

Memory

-7.8MiB live, 70.0MiB allocated

Algorithm

1×	egg-herbie

Rules

108×	`unsub-neg_binary32`
104×	`*-commutative_binary32`
74×	`neg-mul-1_binary32`
44×	`distribute-lft-neg-in_binary32`
38×	`distribute-neg-out_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	494
1	186	494
2	221	494
3	256	494
4	291	494
5	315	494
6	330	494
7	382	494
8	435	494

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 2717909/16777216 binary32)) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (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 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5502927/67108864 binary32)) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5033165/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 4194303/4194304 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/67108864 binary32)) (.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (.f32 #s(literal -1/4 binary32) (.f32 u1 u1)) u1)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.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 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) u2))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) u2))))) (-.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 2717909/16777216 binary32)) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (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 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 2717909/16777216 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5502927/67108864 binary32)) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 5502927/67108864 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5033165/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5033165/33554432 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 4194303/4194304 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 4194303/4194304 binary32)) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/67108864 binary32)) (.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/67108864 binary32)) (.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13743895/34359738368 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (/.f32 (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 (.f32 u1 #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (.f32 #s(literal -1/4 binary32) (.f32 u1 u1)) u1)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (fma.f32 u1 (.f32 (.f32 u1 u1) #s(literal -1/4 binary32)) u1)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (sqrt.f32 (.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(.f32 (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.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 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (fma.f32 (PI.f32) (.f32 (PI.f32) (.f32 u2 (*.f32 u2 #s(literal -2 binary32)))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (neg.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 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(sqrt.f32 u1)

soundness1.6s (11.7%)

Memory

-110.0MiB live, 1 567.5MiB allocated

Rules

11 190×	`accelerator-lowering-fma.f32`
11 190×	`accelerator-lowering-fma.f64`
10 302×	`accelerator-lowering-fma.f32`
10 302×	`accelerator-lowering-fma.f64`
9 722×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	739	6896
1	2327	6331
2	5548	6267
0	8140	5865
0	13	39
1	56	39
2	311	39
3	2333	37
0	8636	29
0	48	178
1	249	175
2	1827	175
0	8767	135
0	306	1849
1	911	1570
2	2918	1447
3	7135	1410
0	8388	1352
0	734	6006
1	2287	5204
2	7975	5202
0	8037	4886
0	835	7244
1	2579	6353
0	8384	6018
0	60	323
1	329	210
2	2489	208
0	8516	195

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 1 494 to 843 computations (43.6% saved)

preprocess96.0ms (0.7%)

Memory

7.3MiB live, 204.0MiB allocated

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 2 346 to 1 258 computations (46.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	119	494
1	186	494
2	221	494
3	256	494
4	291	494
5	315	494
6	330	494
7	382	494
8	435	494

Iter	Nodes	Cost
0	119	494
1	186	494
2	221	494
3	256	494
4	291	494
5	315	494
6	330	494
7	382	494
8	435	494

analyze309.0ms (2.2%)

sample2.1s (15.4%)

preprocess44.0ms (0.3%)

explain174.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize46.0ms (0.3%)

series44.0ms (0.3%)

rewrite219.0ms (1.6%)

simplify440.0ms (3.2%)

eval65.0ms (0.5%)

prune127.0ms (0.9%)

simplify124.0ms (0.9%)

localize325.0ms (2.3%)

series95.0ms (0.7%)

rewrite404.0ms (2.9%)

simplify510.0ms (3.7%)

eval185.0ms (1.3%)

prune216.0ms (1.6%)

simplify404.0ms (2.9%)

localize287.0ms (2.1%)

series111.0ms (0.8%)

rewrite311.0ms (2.2%)

simplify417.0ms (3%)

eval95.0ms (0.7%)

prune154.0ms (1.1%)

simplify284.0ms (2.1%)

localize250.0ms (1.8%)

series21.0ms (0.2%)

rewrite388.0ms (2.8%)

simplify543.0ms (3.9%)

eval462.0ms (3.3%)

prune393.0ms (2.8%)

regimes390.0ms (2.8%)

regimes602.0ms (4.3%)

regimes315.0ms (2.3%)

regimes190.0ms (1.4%)

regimes179.0ms (1.3%)

regimes139.0ms (1%)

regimes111.0ms (0.8%)

regimes57.0ms (0.4%)

regimes93.0ms (0.7%)

regimes75.0ms (0.5%)

regimes116.0ms (0.8%)

regimes69.0ms (0.5%)

regimes52.0ms (0.4%)

regimes51.0ms (0.4%)

regimes42.0ms (0.3%)

regimes29.0ms (0.2%)

regimes24.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify25.0ms (0.2%)

soundness1.6s (11.7%)

preprocess96.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	119	494
1	186	494
2	221	494
3	256	494
4	291	494
5	315	494
6	330	494
7	382	494
8	435	494