Metrics for Beckmann Sample, near normal, slope

analyze344.0ms (2.3%)

Memory

-9.3MiB live, 559.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample1.9s (12.4%)

Memory

74.5MiB live, 3 257.3MiB allocated

Samples

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

Precisions

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

const: 339.0ms (27.3% of total)

ival-mult: 190.0ms (15.3% of total)

ival-<=: 145.0ms (11.7% of total)

ival-log: 137.0ms (11.1% of total)

ival-sin: 102.0ms (8.2% of total)

ival-sub: 89.0ms (7.2% of total)

ival-pi: 76.0ms (6.1% of total)

ival-sqrt: 55.0ms (4.4% of total)

ival-neg: 36.0ms (2.9% of total)

ival-and: 33.0ms (2.7% of total)

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

exact: 9.0ms (0.7% of total)

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

Bogosity

preprocess57.0ms (0.4%)

Memory

-7.7MiB live, 73.4MiB allocated

Algorithm

2×	egg-herbie

Rules

492×	`unsub-neg`
330×	`associate-r`
316×	`distribute-lft-in`
272×	`associate-l`
242×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	135
1	99	130
2	190	130
3	353	130
4	632	130
5	1016	130
6	1275	130
7	1572	130
8	2181	130
9	2238	130
10	2263	130
11	2271	130
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)))) (sin (* (* 2 (PI)) u2)))

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

Call 2

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

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

Symmetry

(abs cosTheta_i)

(negabs u2)

explain387.0ms (2.5%)

Memory

-111.1MiB live, 328.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
200	7	(0.9999772906303406 0.004638788755983114 0.41492825746536255)	1	(0.9999887943267822 0.010670800693333149 4.871761660751872e-8)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
1	0	-	1	(0.9999397993087769 6.253771389630458e-10 0.49635058641433716)	`(sin.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)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	197	0
-	9	50

Precision

0.9563106796116505

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	197	0	0
-	9	15	35

Precision?

0.8914027149321267

Recall?

1.0

Freqs

test

number	freq
0	50
1	206

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 12.0ms (32% of total)

ival-log: 8.0ms (21.3% of total)

ival-sin: 6.0ms (16% of total)

ival-sub: 3.0ms (8% of total)

ival-sqrt: 3.0ms (8% of total)

ival-pi: 2.0ms (5.3% of total)

ival-neg: 2.0ms (5.3% of total)

exact: 1.0ms (2.7% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify11.0ms (0.1%)

Memory

-10.0MiB live, 22.2MiB 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)))) (sin.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)))) (sin (* (* 2 (PI)) u2)))
(sqrt (neg (log (- 1 u1))))
(neg (log (- 1 u1)))
(log (- 1 u1))
(- 1 u1)
1
u1
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2

Outputs
(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.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
(sin (* (* 2 (PI)) u2))
(sin.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

localize53.0ms (0.3%)

Memory

-9.2MiB live, 105.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	54.5%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

38.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-log: 13.0ms (49.8% of total)

ival-mult: 4.0ms (15.3% of total)

ival-sin: 3.0ms (11.5% of total)

ival-sqrt: 2.0ms (7.7% of total)

ival-pi: 1.0ms (3.8% of total)

ival-sub: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series76.0ms (0.5%)

Memory

14.4MiB live, 89.8MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#<alt (log (- 1 u1))>
#<alt (* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (neg (log (- 1 u1))))>
#<alt (neg (log (- 1 u1)))>
#<alt (* (* 2 (PI)) u2)>
#<alt (sin (* (* 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) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<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 (* 2 (* u2 (PI)))>
#<alt (* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>
#<alt (sin (* 2 (* u2 (PI))))>

Calls

21 calls:

Time	Variable		Point	Expression
63.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
2.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))
1.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (sin (* (* 2 (PI)) u2)))

rewrite279.0ms (1.8%)

Memory

-9.4MiB live, 669.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 418×	`-lowering-.f32`
3 418×	`-lowering-.f64`
2 090×	`accelerator-lowering-fma.f32`
2 090×	`accelerator-lowering-fma.f64`
2 024×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	56	39
2	310	39
3	2329	37
0	8590	29

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 234

Calls

Call 1

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

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

simplify485.0ms (3.2%)

Memory

16.8MiB live, 794.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 834×	`accelerator-lowering-fma.f32`
9 834×	`accelerator-lowering-fma.f64`
6 112×	`-lowering-.f32`
6 112×	`-lowering-.f64`
3 744×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	318	1889
1	971	1610
2	3142	1483
3	7433	1469
0	8011	1412

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) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))
(* (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)))
(* 2 (* u2 (PI)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))
(sin (* 2 (* u2 (PI))))

Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
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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)))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) u1)) (neg.f32 u1)) (neg.f32 (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 (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1)))))) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (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) (neg.f32 (log.f32 (neg.f32 u1))))) (neg.f32 (log.f32 (neg.f32 u1))))) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (neg.f32 (log.f32 (neg.f32 u1))))))) u1)) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (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 (/.f32 #s(literal 1 binary32) u1) (/.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 (/.f32 #s(literal 1 binary32) u1) (/.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)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* u2 (+ (* -4/3 (* (pow u2 2) (pow (PI) 3))) (* 2 (PI))))
(.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow u2 2) (pow (PI) 5)))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 u2 u2) #s(literal 4/15 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32))))
(* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* -4/3 (pow (PI) 3)) (* (pow u2 2) (+ (* -8/315 (* (pow u2 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))) (.f32 #s(literal 2 binary32) (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(sin (* 2 (* u2 (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))

eval32.0ms (0.2%)

Memory: -15.0MiB live, 62.9MiB allocated
Compiler: Compiled 7 439 to 1 398 computations (81.2% saved)

prune67.0ms (0.4%)

Memory

-8.2MiB live, 204.2MiB allocated

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	292	26	318
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	292	27	319

Accuracy

99.0%

Counts

319 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.4%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.1%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 2 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
	86.6%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.5%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	55.1%	(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (log1p.f32 (.f32 u1 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.5%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.6%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (log1p.f32 u1))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	54.1%	(.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))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	52.6%	(.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)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	53.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	49.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.6%	(.f32 (sqrt.f32 (neg.f32 (+.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))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	98.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)))
	53.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 u2 u2) #s(literal 4/15 binary32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	52.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
	50.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	56.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.4%	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	78.4%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.2%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 1 506 to 940 computations (37.6% saved)

simplify869.0ms (5.7%)

Memory

-6.6MiB live, 980.0MiB 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)) (sin.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	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓	cost-diff	64	(.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))
✓	cost-diff	64	(neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	96	(-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))
✓	cost-diff	0	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	cost-diff	0	(log1p.f32 u1)
✓	cost-diff	0	(sqrt.f32 (log1p.f32 u1))
✓	cost-diff	0	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	cost-diff	0	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

28 540×	`accelerator-lowering-fma.f32`
28 540×	`accelerator-lowering-fma.f64`
4 426×	`-lowering-.f32`
4 426×	`-lowering-.f64`
2 614×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	328
1	73	328
2	164	313
3	385	313
4	730	313
5	1271	313
6	1869	313
7	2392	313
8	3268	313
9	4355	313
10	5123	313
11	5562	313
12	5875	313
13	6083	313
14	6331	313
15	6424	313
16	6430	313
17	6431	313
18	6740	313
19	7221	313
20	7715	313
0	8046	277

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize187.0ms (1.2%)

Memory

10.8MiB live, 165.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	98.3%	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
✓	accuracy	98.6%	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	98.5%	(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
✓	accuracy	54.3%	(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	51.3%	(log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))))
✓	accuracy	99.6%	(sqrt.f32 (log1p.f32 u1))
✓	accuracy	99.4%	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.4%	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.7%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.4%	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Samples

110.0ms

256×

valid

Compiler

Compiled 318 to 36 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-neg: 19.0ms (28.4% of total)

ival-mult: 15.0ms (22.4% of total)

ival-log: 7.0ms (10.5% of total)

ival-sqrt: 6.0ms (9% of total)

ival-log1p: 4.0ms (6% of total)

ival-pow: 4.0ms (6% of total)

ival-sin: 3.0ms (4.5% of total)

ival-sub: 2.0ms (3% of total)

ival-pow2: 2.0ms (3% of total)

ival-pi: 1.0ms (1.5% of total)

ival-add: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.5%)

Memory

18.1MiB live, 68.7MiB allocated

Counts

22 → 300

Calls

Call 1

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

Outputs
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI)))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (PI))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (sqrt -1)) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (PI)))) (sqrt -1)))>
#<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 (* u2 (+ (* 2 (* (PI) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (+ 1 u1))))) (* 4/15 (* (* (pow u2 2) (pow (PI) 5)) (sqrt (log (+ 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (PI) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (pow (PI) 7)) (sqrt (log (+ 1 u1))))) (* 4/15 (* (pow (PI) 5) (sqrt (log (+ 1 u1)))))))))))>
#<alt (* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (log (+ 1 u1))) (sin (* 2 (* u2 (PI)))))>
#<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 (* -3/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 3/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -3/4 u1))) 3/2))))>
#<alt (+ (log -1) (* -3 (log (/ 1 u1))))>
#<alt (+ (log -1) (+ (* -3 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (/ 1 u1))) (/ 3/2 (pow u1 2)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (/ 3/2 (pow u1 2)))>
#<alt (* -3 (log (/ -1 u1)))>
#<alt (+ (* -3 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))>
#<alt (+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 3/2) u1)) 1) u1)))>
#<alt (* 2 u1)>
#<alt (* u1 (+ 2 (* -1 u1)))>
#<alt (* u1 (+ 2 (* u1 (- (* 2/3 u1) 1))))>
#<alt (* u1 (+ 2 (* u1 (- (* u1 (+ 2/3 (* -1/2 u1))) 1))))>
#<alt (* -2 (log (/ 1 u1)))>
#<alt (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1))) (/ 1 (pow u1 2)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (* 2 (/ 1 u1)) (* 2/3 (/ 1 (pow u1 3))))) (/ 1 (pow u1 2)))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* 2 (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (/ 1 u1) 2) u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 u1)) 1) u1)) 2) u1)))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (* -3 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (* -3 (log (/ -1 u1))) (+ (* -2 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -2 (log (/ -1 u1))))>

Calls

75 calls:

Time	Variable		Point	Expression
53.0ms	u2	@	inf	(* (sqrt (log (+ 1 u1))) (sin (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(pow (log (+ 1 u1)) 1/4)
1.0ms	u1	@	inf	(pow (log (+ 1 u1)) 1/4)
1.0ms	u1	@	0	(* (sqrt u1) (sin (* (* 2 (PI)) u2)))
1.0ms	u1	@	-inf	(- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))

rewrite610.0ms (4%)

Memory

7.4MiB live, 683.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 510×	`accelerator-lowering-fma.f32`
8 510×	`accelerator-lowering-fma.f64`
2 842×	`-lowering-.f32`
2 842×	`-lowering-.f64`
2 390×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	145
1	152	145
2	1092	137
0	9851	109

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 197

Calls

Call 1

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

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

simplify688.0ms (4.5%)

Memory

-22.3MiB live, 964.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 094×	`accelerator-lowering-fma.f32`
11 094×	`accelerator-lowering-fma.f64`
8 122×	`-lowering-.f32`
8 122×	`-lowering-.f64`
3 896×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	795	6443
1	2510	5625
0	8484	5338

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))
(* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
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Outputs
(* (sqrt u1) (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
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(pow.f32 (log.f32 u1) #s(literal 1/4 binary32))
(+ (* -1/4 (* (pow (/ -1 (pow (log (/ 1 u1)) 3)) 1/4) (/ 1 u1))) (pow (* -1 (log (/ 1 u1))) 1/4))
(fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))) #s(literal 1/4 binary32)) u1) (pow.f32 (log.f32 u1) #s(literal 1/4 binary32)))
(+ (* -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)))
(fma.f32 (+.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1))) (/.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/32 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32)))) (.f32 u1 u1)) #s(literal 1 binary32)) (pow.f32 (log.f32 u1) #s(literal 1/4 binary32)) (/.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))) #s(literal 1/4 binary32))) u1))
(+ (* -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))))
(fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))) #s(literal 1/4 binary32)) u1) (fma.f32 (pow.f32 (log.f32 u1) #s(literal 1/4 binary32)) (+.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1))) (/.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/32 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32)))) (.f32 u1 u1)) (/.f32 (fma.f32 #s(literal -1/32 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (fma.f32 #s(literal 1/24 binary32) (-.f32 (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (neg.f32 (/.f32 #s(literal 2 binary32) (log.f32 u1)))) (/.f32 #s(literal 2 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (/.f32 #s(literal -1/384 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))))) (.f32 u1 (*.f32 u1 u1)))) (pow.f32 (log.f32 u1) #s(literal 1/4 binary32))))
(pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32))
(+ (* 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))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32))) #s(literal 1/4 binary32)) u1) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32)))
(+ (* -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))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32))) #s(literal 1/4 binary32)) (/.f32 (*.f32 (neg.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32))) (+.f32 (+.f32 (/.f32 #s(literal 1/32 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))))) u1)) u1))
(+ (* -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))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32))) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/32 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/4 binary32)) (+.f32 (fma.f32 #s(literal -1/24 binary32) (+.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))) (/.f32 #s(literal -1/12 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal 1/32 binary32) (/.f32 #s(literal 1/32 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal -1/384 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))))) (neg.f32 u1))) (neg.f32 u1))) u1))
u1
(* u1 (+ 1 (* -3/2 u1)))
(*.f32 u1 (fma.f32 u1 #s(literal -3/2 binary32) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 3/2))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -3/2 binary32)) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -3/4 u1))) 3/2))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -3/4 binary32) #s(literal 1/3 binary32)) #s(literal -3/2 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 u1)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -3 binary32) (log.f32 #s(literal -1 binary32))))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (/ 1 u1))) (/ 3/2 (pow u1 2)))
(+.f32 (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -3 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -3/2 binary32) (*.f32 u1 u1))))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (/ 3/2 (pow u1 2)))
(+.f32 (+.f32 (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -3 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 u1 (.f32 u1 u1))) (log.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -3/2 binary32) (*.f32 u1 u1)))
(* -3 (log (/ -1 u1)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32))
(+ (* -3 (log (/ -1 u1))) (/ 1 u1))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) u1) #s(literal 1 binary32)) u1))
(+ (* -3 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 3/2) u1)) 1) u1)))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -3 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal -3/2 binary32)) (neg.f32 u1)) #s(literal -1 binary32)) (neg.f32 u1)))
(* 2 u1)
(*.f32 u1 #s(literal 2 binary32))
(* u1 (+ 2 (* -1 u1)))
(*.f32 u1 (-.f32 #s(literal 2 binary32) u1))
(* u1 (+ 2 (* u1 (- (* 2/3 u1) 1))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 2/3 binary32) #s(literal -1 binary32)) #s(literal 2 binary32)))
(* u1 (+ 2 (* u1 (- (* u1 (+ 2/3 (* -1/2 u1))) 1))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(* -2 (log (/ 1 u1)))
(neg.f32 (*.f32 (log.f32 u1) #s(literal -2 binary32)))
(+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1)))
(fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u1))
(- (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1))) (/ 1 (pow u1 2)))
(+.f32 (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(- (+ (* -2 (log (/ 1 u1))) (+ (* 2 (/ 1 u1)) (* 2/3 (/ 1 (pow u1 3))))) (/ 1 (pow u1 2)))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) u1) (/.f32 #s(literal 2/3 binary32) (.f32 u1 (.f32 u1 u1)))) (fma.f32 (neg.f32 (log.f32 u1)) #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(* -2 (log (/ -1 u1)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32))
(+ (* -2 (log (/ -1 u1))) (* 2 (/ 1 u1)))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u1))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (/ 1 u1) 2) u1)))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32)) u1))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 u1)) 1) u1)) 2) u1)))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32) (/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) u1) #s(literal -1 binary32)) u1)) #s(literal -2 binary32)) (neg.f32 u1)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(- (+ (log -1) (* -3 (log (/ 1 u1)))) (* -2 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -3 (log (/ 1 u1)))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (log.f32 u1) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u1)))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -2 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) #s(literal -1 binary32)) u1))
(- (* -3 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -3 (log (/ -1 u1))) (+ (* -2 (log (/ -1 u1))) (/ 1 u1)))
(fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) u1))
(- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -2 (log (/ -1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -2 (log (/ -1 u1))))
(-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))

eval509.0ms (3.3%)

Memory: 42.7MiB live, 538.6MiB allocated
Compiler: Compiled 63 073 to 7 193 computations (88.6% saved)

prune457.0ms (3%)

Memory

-19.5MiB live, 754.8MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1 880	25	1 905
Fresh	13	8	21
Picked	3	2	5
Done	0	1	1
Total	1 896	36	1 932

Accuracy

99.6%

Counts

1 932 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.4%	(.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	76.0%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.3%	(.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (log.f32 (log1p.f32 u1))) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.1%	(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.4%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
	76.3%	(.f32 (sqrt.f32 (/.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))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.6%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.5%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 (sqrt.f32 (.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	92.2%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	86.5%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	47.1%	(.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)))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	52.6%	(.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)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	90.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	87.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 u2))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
▶	98.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	81.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	96.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (log.f32 (PI.f32)))) u2)))
✓	98.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
	50.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	56.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	65.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	72.9%	(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	70.9%	(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 u2))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
▶	66.8%	(.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	77.8%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	77.9%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (log.f32 (PI.f32)))) u2)))
✓	78.4%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.2%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	70.9%	(.f32 u2 (fma.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (sqrt.f32 u1) (.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))))

Compiler

Compiled 1 457 to 1 071 computations (26.5% saved)

simplify682.0ms (4.5%)

Memory

-15.9MiB live, 1 197.9MiB 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 1/8 binary32))
✓	cost-diff	0	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32))
✓	cost-diff	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓	cost-diff	64	(.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))
✓	cost-diff	64	(neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	96	(-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))
✓	cost-diff	0	(fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))
✓	cost-diff	0	(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 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 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(*.f32 u2 (PI.f32))
✓	cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	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)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))

Rules

33 040×	`accelerator-lowering-fma.f32`
33 040×	`accelerator-lowering-fma.f64`
4 972×	`-lowering-.f32`
4 972×	`-lowering-.f64`
2 424×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	381
1	119	381
2	296	366
3	660	366
4	1008	366
5	1620	366
6	2243	366
7	3018	366
8	4066	366
9	5122	366
10	5791	366
11	6154	366
12	6319	366
13	6447	366
14	6498	366
0	8377	327

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (sin (* (PI) u2)) (cos (* (PI) u2)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* 2 (* (sin (* (PI) u2)) (cos (* (PI) u2))))
2
(* (sin (* (PI) u2)) (cos (* (PI) u2)))
(sin (* (PI) u2))
(* (PI) u2)
(PI)
u2
(cos (* (PI) u2))
(* (sqrt u1) (* 2 (* u2 (PI))))
(sqrt u1)
u1
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(* (sqrt (* u1 (+ (* u1 (+ (* u1 1/3) 1/2)) 1))) (sin (* (* 2 (PI)) u2)))
(sqrt (* 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
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))) (* 2 (* u2 (PI))))
(sqrt (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))))
(neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))
(- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))
(log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1))))
(- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))
(+ 1 u1)
1
u1
(* (+ 1 u1) (* u1 u1))
(* u1 u1)
(log (* (+ 1 u1) (+ 1 u1)))
(* (+ 1 u1) (+ 1 u1))
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(* (pow (pow (log (+ 1 u1)) 1/8) 4) (sin (* (* 2 (PI)) u2)))
(pow (pow (log (+ 1 u1)) 1/8) 4)
(pow (log (+ 1 u1)) 1/8)
(log (+ 1 u1))
u1
1/8
4
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2

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

localize313.0ms (2.1%)

Memory

7.8MiB live, 325.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	97.3%	(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32))
✓	accuracy	98.6%	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	98.5%	(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
✓	accuracy	54.4%	(log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	51.4%	(log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))))
✓	accuracy	99.3%	(*.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	98.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.0%	(*.f32 u2 (PI.f32))
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	98.7%	(.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	accuracy	99.5%	(sin.f32 (*.f32 (PI.f32) u2))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
✓	accuracy	98.9%	(PI.f32)

Samples

167.0ms	253×	0	valid
4.0ms	3×	5	exit

Compiler

Compiled 362 to 51 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 67.0ms (57.1% of total)

ival-log: 8.0ms (6.8% of total)

ival-sqrt: 7.0ms (6% of total)

ival-pow: 6.0ms (5.1% of total)

ival-sin: 6.0ms (5.1% of total)

ival-log1p: 5.0ms (4.3% of total)

const: 4.0ms (3.4% of total)

ival-neg: 4.0ms (3.4% of total)

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

ival-sub: 2.0ms (1.7% of total)

ival-cos: 2.0ms (1.7% of total)

adjust: 1.0ms (0.9% 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)

series58.0ms (0.4%)

Memory

-6.2MiB live, 71.5MiB allocated

Counts

28 → 372

Calls

Call 1

Inputs
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (sin (* (PI) u2)) (cos (* (PI) u2)))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (log (+ 1 (neg u1)))>
#<alt (* (sqrt u1) (* 2 (* u2 (PI))))>
#<alt (sqrt u1)>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (PI))>
#<alt (* (sqrt (* u1 (+ (* u1 (+ (* u1 1/3) 1/2)) 1))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (* u1 (+ (* u1 (+ (* u1 1/3) 1/2)) 1)))>
#<alt (+ (* u1 (+ (* u1 1/3) 1/2)) 1)>
#<alt (+ (* u1 1/3) 1/2)>
#<alt (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))>
#<alt (neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))>
#<alt (* (+ 1 u1) (* u1 u1))>
#<alt (* (+ 1 u1) (+ 1 u1))>
#<alt (* (pow (pow (log (+ 1 u1)) 1/8) 4) (sin (* (* 2 (PI)) u2)))>
#<alt (pow (pow (log (+ 1 u1)) 1/8) 4)>
#<alt (pow (log (+ 1 u1)) 1/8)>
#<alt (log (+ 1 u1))>
#<alt (PI)>
#<alt (* (PI) u2)>
#<alt (sin (* (PI) u2))>
#<alt (* (* 2 (PI)) u2)>
#<alt (* u1 (+ (* u1 (+ (* u1 1/3) 1/2)) 1))>
#<alt (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1))))>
#<alt (log (* (+ 1 u1) (+ 1 u1)))>
#<alt (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))>

Outputs
#<alt (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* -1/3 (* (sqrt u1) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))) (* u1 (+ (* -1 (* (sqrt u1) (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* (cos (* u2 (PI))) (sin (* u2 (PI)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)))))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* (cos (* u2 (PI))) (sin (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* (cos (* u2 (PI))) (* (sin (* 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)) (* (* (cos (* u2 (PI))) (sin (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (pow (sqrt -1) 2))) (sqrt (log (/ -1 u1))))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/120 (* (pow (PI) 5) (sqrt -1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/240 (* (pow (PI) 7) (sqrt -1))) (+ (* -1/720 (* (pow (PI) 7) (sqrt -1))) (* -1/5040 (* (pow (PI) 7) (sqrt -1))))))) (sqrt (log (- 1 u1)))))))))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* 2 (* (* (cos (* u2 (PI))) (* (sin (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* 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 (* 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 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/32 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* (sqrt (pow u1 3)) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/3))))))>
#<alt (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/3)))))))>
#<alt (* (sqrt (pow u1 3)) (* (sin (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))>
#<alt (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))))>
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sin (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sin (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))>
#<alt (* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* u2 (PI))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (PI)))))>
#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 3))) (* 4/15 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 5))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 5)))))))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (sin (* 2 (* u2 (PI)))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/32 (sqrt (/ 1 u1))) (* 1/6 (sqrt (/ 1 u1))))))))>
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#<alt (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (* 2 (/ 1 u1))) (/ 1 (pow u1 2)))>
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (* 2 (/ 1 u1)) (* 2/3 (/ 1 (pow u1 3))))) (/ 1 (pow u1 2)))>
#<alt (* -2 (log (/ -1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* 2 (/ 1 u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (/ 1 u1) 2) u1)))>
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 u1)) 1) u1)) 2) u1)))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 u1)))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -2 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1)))>
#<alt (- (* -3 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (* -3 (log (/ -1 u1))) (+ (* -2 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) (* -2 (log (/ -1 u1))))>

Calls

93 calls:

Time	Variable		Point	Expression
26.0ms	u1	@	0	(* (sqrt (* u1 (+ (* u1 (+ (* u1 1/3) 1/2)) 1))) (sin (* (* 2 (PI)) u2)))
3.0ms	u2	@	0	(* (sqrt (* u1 (+ (* u1 (+ (* u1 1/3) 1/2)) 1))) (sin (* (* 2 (PI)) u2)))
2.0ms	u2	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (sin (* (PI) u2)) (cos (* (PI) u2)))))
1.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (sin (* (PI) u2)) (cos (* (PI) u2)))))
1.0ms	u1	@	-inf	(pow (log (+ 1 u1)) 1/8)

rewrite653.0ms (4.3%)

Memory

40.6MiB live, 786.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 030×	`accelerator-lowering-fma.f32`
5 030×	`accelerator-lowering-fma.f64`
3 794×	`-lowering-.f32`
3 794×	`-lowering-.f64`
3 702×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	194
1	230	192
2	1684	192
0	8906	156

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 1 128

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (sin (* (PI) u2)) (cos (* (PI) u2)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(* (sqrt u1) (* 2 (* u2 (PI))))
(sqrt u1)
(* 2 (* u2 (PI)))
(* u2 (PI))
(* (sqrt (* u1 (+ (* u1 (+ (* u1 1/3) 1/2)) 1))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ (* u1 (+ (* u1 1/3) 1/2)) 1)))
(+ (* u1 (+ (* u1 1/3) 1/2)) 1)
(+ (* u1 1/3) 1/2)
(- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))
(neg (- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1)))))
(* (+ 1 u1) (* u1 u1))
(* (+ 1 u1) (+ 1 u1))
(* (pow (pow (log (+ 1 u1)) 1/8) 4) (sin (* (* 2 (PI)) u2)))
(pow (pow (log (+ 1 u1)) 1/8) 4)
(pow (log (+ 1 u1)) 1/8)
(log (+ 1 u1))
(PI)
(* (PI) u2)
(sin (* (PI) u2))
(* (* 2 (PI)) u2)
(* u1 (+ (* u1 (+ (* u1 1/3) 1/2)) 1))
(log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1))))
(log (* (+ 1 u1) (+ 1 u1)))
(- (log (- (+ 1 u1) (* (+ 1 u1) (* u1 u1)))) (log (* (+ 1 u1) (+ 1 u1))))

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

simplify447.0ms (2.9%)

Memory

-17.5MiB live, 737.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 446×	`accelerator-lowering-fma.f32`
7 446×	`accelerator-lowering-fma.f64`
6 050×	`-lowering-.f32`
6 050×	`-lowering-.f64`
5 262×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	975	6858
1	3159	6080
0	8144	5788

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

eval214.0ms (1.4%)

Memory: 7.2MiB live, 392.3MiB allocated
Compiler: Compiled 65 657 to 7 383 computations (88.8% saved)

prune293.0ms (1.9%)

Memory

2.5MiB live, 641.0MiB allocated

Pruning

60 alts after pruning (57 fresh and 3 done)

	Pruned	Kept	Total
New	1 777	40	1 817
Fresh	11	17	28
Picked	5	0	5
Done	0	3	3
Total	1 793	60	1 853

Accuracy

99.8%

Counts

1 853 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.2%	(fma.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
	91.1%	(.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	74.3%	(.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (log.f32 (log1p.f32 u1))) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/8 binary32)) (log.f32 (log1p.f32 u1))) #s(literal 4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
	92.0%	(.f32 (/.f32 (sqrt.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.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))))) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 (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)))) (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (/.f32 (sqrt.f32 (.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) u1)) (sqrt.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))) (-.f32 #s(literal 1 binary32) (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	66.7%	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
	66.7%	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
	92.2%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.f32 (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (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))))
▶	66.8%	(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) (sqrt.f32 u1))
	92.2%	(.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))))
	92.1%	(.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.1%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.5%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.1%	(.f32 (sqrt.f32 (.f32 (-.f32 (.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))))) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.9%	(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 u1))) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 (.f32 u1 u1) #s(literal 1/3 binary32) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.4%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.0%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	91.7%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	91.6%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	92.2%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	88.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
	74.4%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
▶	88.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.3%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (.f32 u1 (/.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)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (.f32 u1 (.f32 (.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))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.6%	(.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)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	79.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	46.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))))) (log.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	90.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	87.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 u2))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
▶	90.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32))) (cos.f32 (*.f32 (PI.f32) u2)))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (exp.f32 (log.f32 (PI.f32))) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	81.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
▶	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	98.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
	50.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	56.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	46.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	66.7%	(.f32 (sqrt.f32 u1) (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	92.1%	(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
	72.9%	(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	70.9%	(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 u2))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	66.4%	(.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))))
	77.8%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	78.4%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	66.0%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	77.2%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	70.9%	(.f32 u2 (fma.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (sqrt.f32 u1) (.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))))
	83.1%	(.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))

Compiler

Compiled 2 849 to 1 955 computations (31.4% saved)

simplify474.0ms (3.1%)

Memory

24.2MiB live, 854.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32))) (cos.f32 (*.f32 (PI.f32) u2)))))
✓	cost-diff	64	(.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32))) (cos.f32 (.f32 (PI.f32) u2))))
✓	cost-diff	64	(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
✓	cost-diff	64	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓	cost-diff	96	(+.f32 #s(literal 1 binary32) (-.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))
✓	cost-diff	1184	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (-.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))))
✓	cost-diff	0	(*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))
✓	cost-diff	0	(sqrt.f32 (*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(*.f32 #s(literal 2 binary32) (PI.f32))
✓	cost-diff	0	(+.f32 u2 u2)
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	cost-diff	0	(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) (sqrt.f32 u1))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	cost-diff	64	(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32))))
✓	cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
✓	cost-diff	3200	(log.f32 (E.f32))

Rules

19 882×	`accelerator-lowering-fma.f32`
19 882×	`accelerator-lowering-fma.f64`
4 014×	`-lowering-.f32`
4 014×	`-lowering-.f64`
2 054×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	419
1	165	385
2	443	379
3	1497	363
4	3251	355
5	6509	343
0	8280	316

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (* (PI) (log (E)))) u2)))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(sin (* (* 2 (* (PI) (log (E)))) u2))
(* (* 2 (* (PI) (log (E)))) u2)
(* 2 (* (PI) (log (E))))
2
(* (PI) (log (E)))
(PI)
(log (E))
(E)
u2
(* (* (PI) (+ u2 u2)) (sqrt u1))
(* (PI) (+ u2 u2))
(PI)
(+ u2 u2)
u2
(sqrt u1)
u1
(* (sqrt (* u1 (+ (* u1 1/2) 1))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ (* u1 1/2) 1)))
(* u1 (+ (* u1 1/2) 1))
u1
(+ (* u1 1/2) 1)
1/2
1
(sin (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(* (sqrt (neg (log (* (/ 1 (* (+ 1 u1) (+ 1 u1))) (+ 1 (- u1 (* u1 (+ (* u1 u1) u1)))))))) (* 2 (* u2 (PI))))
(sqrt (neg (log (* (/ 1 (* (+ 1 u1) (+ 1 u1))) (+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))))))
(neg (log (* (/ 1 (* (+ 1 u1) (+ 1 u1))) (+ 1 (- u1 (* u1 (+ (* u1 u1) u1)))))))
(log (* (/ 1 (* (+ 1 u1) (+ 1 u1))) (+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))))
(* (/ 1 (* (+ 1 u1) (+ 1 u1))) (+ 1 (- u1 (* u1 (+ (* u1 u1) u1)))))
(/ 1 (* (+ 1 u1) (+ 1 u1)))
1
(* (+ 1 u1) (+ 1 u1))
(+ 1 u1)
u1
(+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))
(- u1 (* u1 (+ (* u1 u1) u1)))
(* u1 (+ (* u1 u1) u1))
(+ (* u1 u1) u1)
(* 2 (* u2 (PI)))
2
(* u2 (PI))
u2
(PI)
(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))) (cos (* (PI) u2)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(log (+ 1 (neg u1)))
(neg u1)
u1
(* 2 (* (* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))) (cos (* (PI) u2))))
2
(* (* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))) (cos (* (PI) u2)))
(* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI)))
u2
(+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))
(* -1/6 (* u2 u2))
-1/6
(* u2 u2)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(cos (* (PI) u2))
(* (PI) u2)

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

localize260.0ms (1.7%)

Memory

-32.1MiB live, 464.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
✓	accuracy	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (.f32 u2 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32))) (cos.f32 (*.f32 (PI.f32) u2)))))
✓	accuracy	97.0%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	96.7%	(PI.f32)
✓	accuracy	98.8%	(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	98.6%	(*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	96.7%	(PI.f32)
✓	accuracy	54.6%	(log.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (-.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))))
✓	accuracy	99.2%	(*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	96.7%	(PI.f32)
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.0%	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	accuracy	98.7%	(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) (sqrt.f32 u1))
✓	accuracy	96.7%	(PI.f32)
✓	accuracy	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	accuracy	97.0%	(log.f32 (E.f32))
✓	accuracy	96.7%	(PI.f32)
✓	accuracy	96.7%	(E.f32)

Samples

140.0ms	247×	0	valid
32.0ms	9×	5	exit

Compiler

Compiled 447 to 60 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 61.0ms (42.8% of total)

ival-sqrt: 33.0ms (23.1% of total)

ival-log: 10.0ms (7% of total)

ival-add: 7.0ms (4.9% of total)

ival-sin: 6.0ms (4.2% of total)

ival-pi: 5.0ms (3.5% of total)

ival-neg: 4.0ms (2.8% of total)

const: 4.0ms (2.8% of total)

ival-cos: 3.0ms (2.1% of total)

ival-log1p: 3.0ms (2.1% of total)

ival-div: 2.0ms (1.4% of total)

ival-e: 2.0ms (1.4% of total)

adjust: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

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

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

series58.0ms (0.4%)

Memory

9.7MiB live, 132.5MiB allocated

Counts

27 → 288

Calls

Call 1

Inputs
#<alt (log (E))>
#<alt (* (PI) (log (E)))>
#<alt (* 2 (* (PI) (log (E))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (* (PI) (log (E)))) u2)))>
#<alt (* (* (PI) (+ u2 u2)) (sqrt u1))>
#<alt (* (PI) (+ u2 u2))>
#<alt (PI)>
#<alt (+ u2 u2)>
#<alt (* 2 (PI))>
#<alt (* (sqrt (* u1 (+ (* u1 1/2) 1))) (sin (* (* 2 (PI)) u2)))>
#<alt (sqrt (* u1 (+ (* u1 1/2) 1)))>
#<alt (* u1 (+ (* u1 1/2) 1))>
#<alt (* (/ 1 (* (+ 1 u1) (+ 1 u1))) (+ 1 (- u1 (* u1 (+ (* u1 u1) u1)))))>
#<alt (+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))>
#<alt (* (+ 1 u1) (+ 1 u1))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* (* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))) (cos (* (PI) u2))))>
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))) (cos (* (PI) u2)))))>
#<alt (sqrt (neg (log (+ 1 (neg u1)))))>
#<alt (neg (log (+ 1 (neg u1))))>
#<alt (E)>
#<alt (sqrt u1)>
#<alt (* (* 2 (PI)) u2)>
#<alt (log (* (/ 1 (* (+ 1 u1) (+ 1 u1))) (+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))))>
#<alt (/ 1 (* (+ 1 u1) (+ 1 u1)))>
#<alt (* (PI) (PI))>
#<alt (* -1/6 (* u2 u2))>

Outputs
#<alt (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))))>
#<alt (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (/ (sin (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (* (PI) (log (E))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))>
#<alt (* 2 (* (* u2 (* (PI) (* (log (E)) (sqrt -1)))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1)))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (* (pow (log (E)) 7) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* 2 (* (sqrt u1) (* u2 (PI))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<alt (* -2 (* (sqrt u1) (* u2 (* (PI) (pow (sqrt -1) 2)))))>
#<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)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* 2 u2)>
#<alt (* (sqrt u1) (sin (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (PI)))))) (* (sqrt u1) (sin (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt u1) (sin (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (sin (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))) (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 3))) (sin (* 2 (* u2 (PI)))))) (* 1/128 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (PI)))))))))))>
#<alt (* u1 (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))>
#<alt (* u1 (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))>
#<alt (* u1 (+ (* -1/8 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2)))))>
#<alt (* u1 (+ (* -1/8 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ (sin (* 2 (* u2 (PI)))) (* (pow u1 3) (pow (sqrt 1/2) 5)))) (+ (* 1/2 (/ (sin (* 2 (* u2 (PI)))) (* u1 (sqrt 1/2)))) (* (sin (* 2 (* u2 (PI)))) (sqrt 1/2))))))>
#<alt (* -1 (* u1 (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2)))))>
#<alt (* -1 (* u1 (+ (* -1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/2)))) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (pow (sqrt -1/2) 3)))) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/2)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt -1/2) 3))) (* -1/16 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (pow (sqrt -1/2) 5))))) u1)) (* 1/2 (/ (* (sin (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/2)))) u1)) (* (sin (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/2))))))>
#<alt (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* u2 (PI))))>
#<alt (* u2 (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 3)))) (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI)))))>
#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 3))) (* 4/15 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 5))))))))>
#<alt (* u2 (+ (* 2 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (PI))) (* (pow u2 2) (+ (* -4/3 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 3))) (* (pow u2 2) (+ (* -8/315 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (* (pow u2 2) (pow (PI) 7)))) (* 4/15 (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (pow (PI) 5)))))))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (* (sqrt (* u1 (+ 1 (* 1/2 u1)))) (sin (* 2 (* u2 (PI)))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/32 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/32 (sqrt (/ 1 (pow u1 3)))) (* 1/128 (sqrt (/ 1 u1))))))))>
#<alt (* u1 (sqrt 1/2))>
#<alt (* u1 (+ (sqrt 1/2) (* 1/2 (/ 1 (* u1 (sqrt 1/2))))))>
#<alt (* u1 (- (+ (sqrt 1/2) (/ 1/2 (* u1 (sqrt 1/2)))) (/ 1/8 (* (pow u1 2) (pow (sqrt 1/2) 3)))))>
#<alt (* u1 (- (+ (sqrt 1/2) (+ (/ 1/2 (* u1 (sqrt 1/2))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt 1/2) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt 1/2) 3))))))>
#<alt (* -1 (* u1 (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -1 (* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (sqrt -1/2)))) (* (sqrt -1) (sqrt -1/2)))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (pow (sqrt -1/2) 3)))) (* 1/2 (/ (sqrt -1) (sqrt -1/2)))) u1)) (* (sqrt -1) (sqrt -1/2)))))>
#<alt (* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sqrt -1) (pow (sqrt -1/2) 3))) (* -1/16 (/ (sqrt -1) (* u1 (pow (sqrt -1/2) 5))))) u1)) (* 1/2 (/ (sqrt -1) (sqrt -1/2)))) u1)) (* (sqrt -1) (sqrt -1/2)))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* 1/2 (pow u1 2))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1/2 (/ 1 u1)))>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt 1>
#<alt (+ 1 u1)>
#<alt (+ 1 (* u1 (+ 1 (* -1 u1))))>
#<alt (+ 1 (* u1 (+ 1 (* u1 (- (* -1 u1) 1)))))>
#<alt (* -1 (pow u1 3))>
#<alt (* -1 (* (pow u1 3) (+ 1 (/ 1 u1))))>
#<alt (* (pow u1 3) (- (/ 1 (pow u1 2)) (+ 1 (/ 1 u1))))>
#<alt (* (pow u1 3) (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))) (+ 1 (/ 1 u1))))>
#<alt (* -1 (pow u1 3))>
#<alt (* -1 (* (pow u1 3) (+ 1 (/ 1 u1))))>
#<alt (* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- (/ 1 u1) 1) u1)))))>
#<alt (* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1) u1)))))>
#<alt 1>
#<alt (+ 1 (* 2 u1))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (+ 1 (* u1 (+ 2 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* 2 (/ 1 u1))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))>
#<alt (* 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)))>
#<alt (* u2 (+ (* 2 (PI)) (* 2 (* (pow u2 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))>
#<alt (* u2 (+ (* 2 (PI)) (* (pow u2 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow u2 2) (+ (* 2 (* (pow u2 2) (+ (* -1/144 (pow (PI) 7)) (* -1/720 (pow (PI) 7))))) (* 2 (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))>
#<alt (* -1/3 (* (pow u2 3) (* (pow (PI) 3) (cos (* u2 (PI))))))>
#<alt (* (pow u2 3) (+ (* -1/3 (* (pow (PI) 3) (cos (* u2 (PI))))) (* 2 (/ (* (PI) (cos (* u2 (PI)))) (pow u2 2)))))>
#<alt (* (pow u2 3) (+ (* -1/3 (* (pow (PI) 3) (cos (* u2 (PI))))) (* 2 (/ (* (PI) (cos (* u2 (PI)))) (pow u2 2)))))>
#<alt (* (pow u2 3) (+ (* -1/3 (* (pow (PI) 3) (cos (* u2 (PI))))) (* 2 (/ (* (PI) (cos (* u2 (PI)))) (pow u2 2)))))>
#<alt (* -1/3 (* (pow u2 3) (* (pow (PI) 3) (cos (* u2 (PI))))))>
#<alt (* -1 (* (pow u2 3) (+ (* -2 (/ (* (PI) (cos (* u2 (PI)))) (pow u2 2))) (* 1/3 (* (pow (PI) 3) (cos (* u2 (PI))))))))>
#<alt (* -1 (* (pow u2 3) (+ (* -2 (/ (* (PI) (cos (* u2 (PI)))) (pow u2 2))) (* 1/3 (* (pow (PI) 3) (cos (* u2 (PI))))))))>
#<alt (* -1 (* (pow u2 3) (+ (* -2 (/ (* (PI) (cos (* u2 (PI)))) (pow u2 2))) (* 1/3 (* (pow (PI) 3) (cos (* u2 (PI))))))))>
#<alt (* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (* -1/3 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))))))>
#<alt (+ (* 2 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (* u1 (+ (* -1 (* (sqrt u1) (* u2 (* (cos (* u2 (PI))) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))))) (* -1/3 (* (sqrt (/ 1 u1)) (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))))))))>
#<alt (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (+ (* -1 (* (/ (* u2 (* (cos (* 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))))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (sqrt -1) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))>
#<alt (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))) (sqrt (/ 1 (log (/ -1 u1))))) (* (/ (* u2 (* (cos (* u2 (PI))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (log (/ -1 u1))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* u2 (* (cos (* u2 (PI))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1 (* (/ (* u2 (* (cos (* u2 (PI))) (* (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))) (- 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)) (* (* u2 (* (cos (* u2 (PI))) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))) (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* 2 (* (* u2 (* (cos (* u2 (PI))) (* (pow (sqrt -1) 2) (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3))))))) (sqrt (log (/ -1 u1))))))>
#<alt (* 2 (* (* u2 (* (PI) (sqrt -1))) (sqrt (log (- 1 u1)))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2 (* (* (pow u2 2) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1))))) (sqrt (log (- 1 u1)))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1))))) (sqrt (log (- 1 u1)))))))))>
#<alt (* u2 (+ (* 2 (* (* (PI) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* -1/2 (* (pow (PI) 3) (sqrt -1))) (* -1/6 (* (pow (PI) 3) (sqrt -1)))))) (* (pow u2 2) (+ (* 2 (* (sqrt (log (- 1 u1))) (+ (* 1/24 (* (pow (PI) 5) (sqrt -1))) (* 1/12 (* (pow (PI) 5) (sqrt -1)))))) (* 2 (* (* (pow u2 2) (+ (* -1/144 (* (pow (PI) 7) (sqrt -1))) (* -1/720 (* (pow (PI) 7) (sqrt -1))))) (sqrt (log (- 1 u1)))))))))))>
#<alt (* -1/3 (* (* (pow u2 3) (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1)))))>
#<alt (* (pow u2 3) (+ (* -1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1)))))))>
#<alt (* (pow u2 3) (+ (* -1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1)))))))>
#<alt (* (pow u2 3) (+ (* -1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1)))))))>
#<alt (* -1/3 (* (* (pow u2 3) (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1)))) (sqrt (log (- 1 u1)))))>
#<alt (* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (pow (PI) 3) (* (cos (* u2 (PI))) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (* -1 (* (pow u2 3) (+ (* -2 (* (/ (* (PI) (* (cos (* u2 (PI))) (sqrt -1))) (pow u2 2)) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (pow (PI) 3) (* (cos (* 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 (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* 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 1>
#<alt (+ 1 (* -2 u1))>
#<alt (+ 1 (* u1 (- (* 3 u1) 2)))>
#<alt (+ 1 (* u1 (- (* u1 (+ 3 (* -4 u1))) 2)))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ (- 1 (* 2 (/ 1 u1))) (pow u1 2))>
#<alt (/ (- (+ 1 (/ 3 (pow u1 2))) (* 2 (/ 1 u1))) (pow u1 2))>
#<alt (/ (- (+ 1 (/ 3 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 4 (/ 1 (pow u1 3))))) (pow u1 2))>
#<alt (/ 1 (pow u1 2))>
#<alt (/ (- 1 (* 2 (/ 1 u1))) (pow u1 2))>
#<alt (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 u1))) u1))) (pow u1 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 u1))) u1))) u1))) (pow u1 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>
#<alt (* -1/6 (pow u2 2))>

Calls

72 calls:

Time	Variable		Point	Expression
20.0ms	u1	@	-inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))) (cos (* (PI) u2)))))
2.0ms	u1	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))) (cos (* (PI) u2)))))
2.0ms	u2	@	0	(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (* (PI) (log (E)))) u2)))
1.0ms	u2	@	inf	(* 2 (* (* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))) (cos (* (PI) u2))))
1.0ms	u2	@	inf	(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))) (cos (* (PI) u2)))))

rewrite586.0ms (3.9%)

Memory

12.2MiB live, 949.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 568×	`-lowering-.f32`
5 568×	`-lowering-.f64`
4 490×	`accelerator-lowering-fma.f32`
4 490×	`accelerator-lowering-fma.f64`
3 480×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	209
1	276	203
2	2169	175
0	9506	159

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 1 371

Calls

Call 1

Inputs
(log (E))
(* (PI) (log (E)))
(* 2 (* (PI) (log (E))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (sin (* (* 2 (* (PI) (log (E)))) u2)))
(* (* (PI) (+ u2 u2)) (sqrt u1))
(* (PI) (+ u2 u2))
(PI)
(+ u2 u2)
(* 2 (PI))
(* (sqrt (* u1 (+ (* u1 1/2) 1))) (sin (* (* 2 (PI)) u2)))
(sqrt (* u1 (+ (* u1 1/2) 1)))
(* u1 (+ (* u1 1/2) 1))
(* (/ 1 (* (+ 1 u1) (+ 1 u1))) (+ 1 (- u1 (* u1 (+ (* u1 u1) u1)))))
(+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))
(* (+ 1 u1) (+ 1 u1))
(* 2 (* u2 (PI)))
(* 2 (* (* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))) (cos (* (PI) u2))))
(* (sqrt (neg (log (+ 1 (neg u1))))) (* 2 (* (* u2 (+ (* (* -1/6 (* u2 u2)) (* (PI) (* (PI) (PI)))) (PI))) (cos (* (PI) u2)))))
(sqrt (neg (log (+ 1 (neg u1)))))
(neg (log (+ 1 (neg u1))))
(E)
(sqrt u1)
(* (* 2 (PI)) u2)
(log (* (/ 1 (* (+ 1 u1) (+ 1 u1))) (+ 1 (- u1 (* u1 (+ (* u1 u1) u1))))))
(/ 1 (* (+ 1 u1) (+ 1 u1)))
(* (PI) (PI))
(* -1/6 (* u2 u2))

Outputs
#s(literal 1 binary32)
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)) #s(literal 0 binary32)) #s(literal 3 binary32)))
(exp.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)) #s(literal 0 binary32)) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32)))
(fabs.f32 (PI.f32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.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 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 7/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 7/3 binary32))))
(.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32)) (pow.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (PI.f32))
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(-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (.f32 (/.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (/.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (-.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1))))) (log.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1))))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)) #s(literal -1 binary32))) (log.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)))) (log.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (.f32 (fma.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (-.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1))))
(/.f32 (+.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 u1) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 u1) #s(literal 0 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 u1) #s(literal 0 binary32)) (log1p.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1))))))
(/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 u1) #s(literal 0 binary32)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)) #s(literal 2 binary32))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)))))
(log.f32 (+.f32 #s(literal 1 binary32) u1))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 u1) #s(literal 0 binary32)))
(exp.f32 (*.f32 (log1p.f32 u1) #s(literal -2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))
(pow.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))
(*.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(.f32 (pow.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) #s(literal -2 binary32)))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal -2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal -2 binary32)))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -2 binary32)) (pow.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -2 binary32)))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (fma.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)) #s(literal 0 binary32))) #s(literal 3 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.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) (PI.f32)) (.f32 (.f32 (PI.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 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.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) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.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) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 u2 (.f32 u2 #s(literal -1/6 binary32)))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(.f32 (.f32 u2 u2) #s(literal -1/6 binary32))
(.f32 (.f32 u2 #s(literal -1/6 binary32)) u2)

simplify470.0ms (3.1%)

Memory

1.4MiB live, 813.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 658×	`accelerator-lowering-fma.f32`
6 658×	`accelerator-lowering-fma.f64`
6 288×	`-lowering-.f32`
6 288×	`-lowering-.f64`
4 308×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	5555
1	2614	4936
2	6501	4845
0	8060	4631

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))))
(* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (* (PI) (log (E))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(* 2 (* (* u2 (* (PI) (* (log (E)) (sqrt -1)))) (sqrt (log (- 1 u1)))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1)))))))
(* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1)))) (sqrt (log (- 1 u1)))))))))
(* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (* (pow (log (E)) 7) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
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(* (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))))
(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)))
(* 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 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)))
1
(+ 1 (* -2 u1))
(+ 1 (* u1 (- (* 3 u1) 2)))
(+ 1 (* u1 (- (* u1 (+ 3 (* -4 u1))) 2)))
(/ 1 (pow u1 2))
(/ (- 1 (* 2 (/ 1 u1))) (pow u1 2))
(/ (- (+ 1 (/ 3 (pow u1 2))) (* 2 (/ 1 u1))) (pow u1 2))
(/ (- (+ 1 (/ 3 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 4 (/ 1 (pow u1 3))))) (pow u1 2))
(/ 1 (pow u1 2))
(/ (- 1 (* 2 (/ 1 u1))) (pow u1 2))
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 u1))) u1))) (pow u1 2))
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 u1))) u1))) u1))) (pow u1 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))
(* -1/6 (pow u2 2))

Outputs
(* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(.f32 (sqrt.f32 u1) (neg.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(fma.f32 (sqrt.f32 u1) (neg.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* -1/6 (* (sqrt u1) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))
(fma.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))) (.f32 (sqrt.f32 u1) (neg.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
(+ (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (sin (* 2 (* u2 (* (PI) (log (E)))))))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (+.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)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) (.f32 (sqrt.f32 u1) (neg.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))))
(* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (sin.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 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (.f32 (sin.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 (sin.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 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (/.f32 (.f32 (.f32 (sin.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 (.f32 (sin.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 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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)))))))) (* (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.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 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 (.f32 u1 u1))) (/.f32 (.f32 (.f32 (sin.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 (.f32 (sin.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)))))
(* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
(+ (* -1/2 (* (/ (sin (* 2 (* u2 (* (PI) (log (E)))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1)) (.f32 (neg.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (* (PI) (log (E)))))))) (* 1/2 (* (/ (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.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))))) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))) u1) (.f32 (neg.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))))) (* -1/2 (* (/ (* (sin (* 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 (* (sqrt (/ 1 (log (/ -1 u1)))) (sin (* 2 (* u2 (* (PI) (log (E))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (pow (sqrt -1) 2))))
(fma.f32 (neg.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (.f32 (sin.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 (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal -1/4 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) u1)))) u1) (.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1)))))))) (neg.f32 u1)))
(* 2 (* (* u2 (* (PI) (* (log (E)) (sqrt -1)))) (sqrt (log (- 1 u1)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* u2 (+ (* -4/3 (* (* (pow u2 2) (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1)))))))
(.f32 u2 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))))))
(* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow u2 2) (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1)))) (sqrt (log (- 1 u1)))))))))
(.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 4/15 binary32) (.f32 (.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* u2 (+ (* 2 (* (* (PI) (* (log (E)) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/3 (* (* (pow (PI) 3) (* (pow (log (E)) 3) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -8/315 (* (* (pow u2 2) (* (pow (PI) 7) (* (pow (log (E)) 7) (sqrt -1)))) (sqrt (log (- 1 u1))))) (* 4/15 (* (* (pow (PI) 5) (* (pow (log (E)) 5) (sqrt -1))) (sqrt (log (- 1 u1)))))))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal -8/315 binary32) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (.f32 #s(literal 4/15 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt (log (- 1 u1))) (* (sin (* 2 (* u2 (* (PI) (log (E)))))) (sqrt -1)))
(.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* 2 (* (sqrt u1) (* u2 (PI))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
(* 2 (* (sqrt u1) (* u2 (PI))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (*.f32 u2 (PI.f32)))
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(fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 u1))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 u1)))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) u1) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) u1) #s(literal 1/2 binary32))) u1))
(+ (* -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 (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal -1/4 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) u1))) u1) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))))) u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 u1 (*.f32 u1 u1))) (-.f32 (/.f32 #s(literal 1 binary32) 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) (neg.f32 (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)) (neg.f32 (log.f32 (neg.f32 u1)))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (neg.f32 (log.f32 (neg.f32 u1))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.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 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1)))
(* -1 (log (/ -1 u1)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 u1))))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (/.f32 #s(literal -1 binary32) u1) (neg.f32 (log.f32 (neg.f32 u1))))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1)) (neg.f32 (log.f32 (neg.f32 u1))))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(neg.f32 (+.f32 (neg.f32 (log.f32 (neg.f32 u1))) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) u1)))
1
#s(literal 1 binary32)
(+ 1 (* -2 u1))
(fma.f32 u1 #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* u1 (- (* 3 u1) 2)))
(fma.f32 u1 (fma.f32 u1 #s(literal 3 binary32) #s(literal -2 binary32)) #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (+ 3 (* -4 u1))) 2)))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -4 binary32) #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ (- 1 (* 2 (/ 1 u1))) (pow u1 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1)) (*.f32 u1 u1))
(/ (- (+ 1 (/ 3 (pow u1 2))) (* 2 (/ 1 u1))) (pow u1 2))
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 3 binary32) u1) #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))
(/ (- (+ 1 (/ 3 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 4 (/ 1 (pow u1 3))))) (pow u1 2))
(/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 3 binary32) u1) #s(literal -2 binary32)) (/.f32 #s(literal -4 binary32) (.f32 u1 (.f32 u1 u1))))) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ (- 1 (* 2 (/ 1 u1))) (pow u1 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1)) (*.f32 u1 u1))
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 u1))) u1))) (pow u1 2))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 3 binary32) u1)) u1)) (*.f32 u1 u1))
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 u1))) u1))) u1))) (pow u1 2))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -4 binary32) u1)) u1)) u1)) (*.f32 u1 u1))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))
(* -1/6 (pow u2 2))
(.f32 #s(literal -1/6 binary32) (.f32 u2 u2))

eval362.0ms (2.4%)

Memory: 8.8MiB live, 567.8MiB allocated
Compiler: Compiled 91 501 to 11 601 computations (87.3% saved)

prune411.0ms (2.7%)

Memory

-0.8MiB live, 826.6MiB allocated

Pruning

68 alts after pruning (63 fresh and 5 done)

	Pruned	Kept	Total
New	2 041	26	2 067
Fresh	15	37	52
Picked	3	2	5
Done	0	3	3
Total	2 059	68	2 127

Accuracy

99.8%

Counts

2 127 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.2%	(fma.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))))
	91.1%	(.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.0%	(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.4%	(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	72.7%	(.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/8 binary32)) (log.f32 (log1p.f32 u1))) #s(literal 4 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.2%	(.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
	66.7%	(.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)))) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (.f32 u2 u2) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1))
	66.7%	(.f32 (/.f32 (.f32 (*.f32 (fma.f32 u2 u2 #s(literal 0 binary32)) (+.f32 u2 u2)) (PI.f32)) (fma.f32 u2 u2 #s(literal 0 binary32))) (sqrt.f32 u1))
	88.7%	(.f32 (/.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/8 binary32)) (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 (fma.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) u1))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.6%	(.f32 (/.f32 (sqrt.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/8 binary32) #s(literal 1 binary32)) u1)) (sqrt.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	66.7%	(.f32 (+.f32 u2 u2) (.f32 (PI.f32) (sqrt.f32 u1)))
	66.7%	(.f32 (.f32 (+.f32 u2 u2) (sqrt.f32 u1)) (PI.f32))
	66.7%	(.f32 (.f32 (*.f32 (+.f32 u2 u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (sqrt.f32 u1))
	88.8%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.f32 (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (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))))
	88.9%	(.f32 (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))
	66.8%	(.f32 (.f32 (PI.f32) (/.f32 (*.f32 (fma.f32 u2 u2 #s(literal 0 binary32)) (+.f32 u2 u2)) (fma.f32 u2 u2 #s(literal 0 binary32)))) (sqrt.f32 u1))
	13.5%	(.f32 (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (+.f32 u2 u2))) (sqrt.f32 u1))
✓	66.8%	(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) (sqrt.f32 u1))
	66.0%	(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
	92.2%	(.f32 (.f32 #s(literal 2 binary32) (sin.f32 (.f32 (PI.f32) u2))) (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))))
	92.1%	(.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.8%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/2 binary32) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.1%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.5%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.8%	(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.2%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 (.f32 u1 u1) #s(literal 1/3 binary32) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.4%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	93.3%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	93.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.0%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	91.6%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	92.2%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	74.4%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	88.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)))) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (.f32 u2 u2) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))))))))
	88.8%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (/.f32 (.f32 (.f32 (fma.f32 u2 u2 #s(literal 0 binary32)) (+.f32 u2 u2)) (PI.f32)) (fma.f32 u2 u2 #s(literal 0 binary32)))))
	88.9%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (*.f32 (+.f32 u2 u2) (PI.f32))))
	88.3%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	76.3%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (.f32 u1 (/.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)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	52.6%	(.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)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	79.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	90.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (+.f32 u2 u2) (fma.f32 #s(literal -1/6 binary32) (.f32 u2 (.f32 u2 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (PI.f32))) (cos.f32 (.f32 (PI.f32) u2))))
	90.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	87.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 u2))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (exp.f32 (log.f32 (PI.f32))) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	81.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	98.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	47.3%	(.f32 (sqrt.f32 (neg.f32 (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 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
	52.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
	50.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
✓	56.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	46.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (+.f32 (/.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
	46.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (exp.f32 (log.f32 (PI.f32))))))
	88.8%	(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
	72.9%	(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	70.9%	(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 u2))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
	66.4%	(.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))))
	77.8%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
✓	78.4%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.2%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	70.9%	(.f32 u2 (fma.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (sqrt.f32 u1) (.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))))
	83.1%	(.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))
	80.1%	(.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))

Compiler

Compiled 4 225 to 1 646 computations (61% saved)

regimes377.0ms (2.5%)

Memory

36.1MiB live, 541.1MiB allocated

Counts

118 → 1

Calls

Call 1

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

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

Calls

10 calls:

66.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
47.0ms	(-.f32 #s(literal 1 binary32) u1)
36.0ms	u1
34.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
33.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.1%	1	`cosTheta_i`
98.1%	1	`u1`
98.1%	1	`u2`
98.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
98.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
98.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
98.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
98.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
98.1%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
98.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes162.0ms (1.1%)

Memory

4.3MiB live, 353.0MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) (sqrt.f32 u1))
(.f32 (.f32 (+.f32 u2 u2) (sqrt.f32 u1)) (PI.f32))
(.f32 (+.f32 u2 u2) (.f32 (PI.f32) (sqrt.f32 u1)))
(.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) u2) (PI.f32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 u1)) (PI.f32)) u2)
(.f32 (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (+.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (.f32 (*.f32 (+.f32 u2 u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 u2))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (.f32 (PI.f32) (/.f32 (*.f32 (fma.f32 u2 u2 #s(literal 0 binary32)) (+.f32 u2 u2)) (fma.f32 u2 u2 #s(literal 0 binary32)))) (sqrt.f32 u1))
(.f32 (/.f32 (.f32 (*.f32 (fma.f32 u2 u2 #s(literal 0 binary32)) (+.f32 u2 u2)) (PI.f32)) (fma.f32 u2 u2 #s(literal 0 binary32))) (sqrt.f32 u1))
(.f32 u2 (fma.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (sqrt.f32 u1) (.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))))
(.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))
(.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)))) (fma.f32 (.f32 u2 u2) (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (.f32 u2 u2) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (.f32 u2 (.f32 (PI.f32) (log.f32 (E.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (*.f32 (+.f32 u2 u2) (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/2 binary32) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (.f32 u1 u1) u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))
(.f32 (.f32 (sqrt.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 (.f32 u1 u1) #s(literal 1/3 binary32) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (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))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal -1/4 binary32) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 u2))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (/.f32 (.f32 (.f32 (fma.f32 u2 u2 #s(literal 0 binary32)) (+.f32 u2 u2)) (PI.f32)) (fma.f32 u2 u2 #s(literal 0 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (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 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (*.f32 #s(literal 2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 (fma.f32 u1 u1 u1)))))))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 u1))) (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 (.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))))))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (/.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)) (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/8 binary32) #s(literal 1 binary32)) u1)) (sqrt.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 #s(literal 1/2 binary32)))))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (+.f32 (/.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))))) (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (-.f32 (.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))))) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)))) u1)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

Calls

9 calls:

20.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
18.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
18.0ms	u2
18.0ms	cosTheta_i
17.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
93.9%	1	`cosTheta_i`
93.9%	1	`u1`
93.9%	1	`u2`
93.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
93.9%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
93.9%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
93.9%	1	`(-.f32 #s(literal 1 binary32) u1)`
93.9%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
93.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes108.0ms (0.7%)

Memory

-2.8MiB live, 235.3MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

16.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
15.0ms	u1
14.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
11.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
95.5%	2	`u1`
95.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
95.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
92.2%	1	`cosTheta_i`
92.2%	1	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
95.8%	2	`u2`
95.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
95.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
95.8%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes84.0ms (0.6%)

Memory

11.6MiB live, 204.4MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

13.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
9.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
9.0ms	cosTheta_i
9.0ms	u1
9.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
88.9%	1	`cosTheta_i`
92.4%	2	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.6%	2	`u1`
94.6%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.6%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.6%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.6%	2	`(-.f32 #s(literal 1 binary32) u1)`
95.0%	2	`u2`
95.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes22.0ms (0.1%)

Memory

20.7MiB live, 54.9MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	u2

Results

Accuracy	Segments	Branch
95.0%	2	`u2`
95.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes65.0ms (0.4%)

Memory

-37.1MiB live, 165.4MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

8 calls:

11.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
8.0ms	u1
8.0ms	(-.f32 #s(literal 1 binary32) u1)
7.0ms	(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
7.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
89.8%	2	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
89.8%	2	`u1`
89.8%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
89.8%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
89.8%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
89.8%	2	`(-.f32 #s(literal 1 binary32) u1)`
92.1%	2	`u2`
92.1%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes22.0ms (0.1%)

Memory

21.5MiB live, 60.8MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
83.1%	1	`cosTheta_i`
90.2%	2	`u2`
90.2%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes19.0ms (0.1%)

Memory

15.4MiB live, 54.3MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

6.0ms	u2
6.0ms	cosTheta_i
6.0ms	u1

Results

Accuracy	Segments	Branch
83.1%	1	`cosTheta_i`
83.1%	1	`u1`
83.1%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes36.0ms (0.2%)

Memory

-56.3MiB live, 51.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

22.0ms	u1
6.0ms	cosTheta_i
5.0ms	u2

Results

Accuracy	Segments	Branch
83.9%	2	`u1`
83.6%	2	`u2`
80.1%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.1%)

Memory

11.2MiB live, 50.4MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	u2
5.0ms	u1
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
78.4%	1	`cosTheta_i`
82.0%	2	`u2`
78.4%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

u2

Results

Accuracy	Segments	Branch
82.0%	2	`u2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.2%)

Memory

-19.5MiB live, 19.6MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

27.0ms	u2
4.0ms	u1

Results

Accuracy	Segments	Branch
78.4%	1	`u1`
78.4%	1	`u2`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
77.0%	1	`cosTheta_i`
77.0%	1	`u2`
77.0%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes38.0ms (0.2%)

Memory

-27.3MiB live, 11.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	cosTheta_i
3.0ms	u1
3.0ms	u2

Results

Accuracy	Segments	Branch
74.4%	1	`cosTheta_i`
74.4%	1	`u2`
74.4%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Accuracy

Total -17.0b remaining (-160.2%)

Threshold costs -17b (-160.2%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) (sqrt.f32 u1))

Calls

3 calls:

3.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
66.8%	1	`u1`
66.8%	1	`cosTheta_i`
66.8%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0021807656157761812	0.002361257327720523

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0038944578263908625	0.004766497295349836

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0038944578263908625	0.004766497295349836

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0038944578263908625	0.004766497295349836

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.09334395825862885	0.14838393032550812

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0008182856836356223	0.0008268833626061678

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0006198221817612648	0.0007586115971207619

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0006198221817612648	0.0007586115971207619

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify27.0ms (0.2%)

Memory

-20.5MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Rules

82×	`*-commutative_binary32`
4×	`neg-sub0_binary32`
4×	`neg-mul-1_binary32`
4×	`sub-neg_binary32`
4×	`+-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	453
1	142	453
2	146	453
3	148	453

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 295279/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/2 binary32) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (+.f32 u2 u2) (PI.f32)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u1 #s(literal 14087493/17179869184 binary32)) (.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(if (<=.f32 u2 #s(literal 3006477/4294967296 binary32)) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u2 (fma.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (sqrt.f32 u1) (.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 3006477/4294967296 binary32)) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 u2))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) (sqrt.f32 u1))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 295279/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 295279/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) #s(literal 1/2 binary32) u1)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) #s(literal 1/2 binary32) u1))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (sin.f32 (.f32 (+.f32 u2 u2) (PI.f32)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/2147483648 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/134217728 binary32)) (.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)))
(.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 u2 u2) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))
(if (<=.f32 u1 #s(literal 14087493/17179869184 binary32)) (.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (.f32 u2 u2)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))))
(if (<=.f32 u1 #s(literal 14087493/17179869184 binary32)) (.f32 u2 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))))) (.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (.f32 u2 u2)))))) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))))
(if (<=.f32 u2 #s(literal 3006477/4294967296 binary32)) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u2 (fma.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (sqrt.f32 u1) (.f32 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 u2 u2)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))
(if (<=.f32 u2 #s(literal 3006477/4294967296 binary32)) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 u2 (fma.f32 (sqrt.f32 u1) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (sqrt.f32 u1) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 #s(literal -4/3 binary32) (.f32 u2 u2))))))))
(if (<=.f32 u2 #s(literal 3006477/4294967296 binary32)) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 u2))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(if (<=.f32 u2 #s(literal 3006477/4294967296 binary32)) (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 u2 u2))) (*.f32 #s(literal 2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (sqrt.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)) (sqrt.f32 (.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))))
(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) (sqrt.f32 u1))

soundness1.7s (11.2%)

Memory

51.0MiB live, 1 386.1MiB allocated

Rules

11 094×	`accelerator-lowering-fma.f32`
11 094×	`accelerator-lowering-fma.f64`
9 834×	`accelerator-lowering-fma.f32`
9 834×	`accelerator-lowering-fma.f64`
8 122×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	194
1	230	192
2	1684	192
0	8906	156
0	13	39
1	56	39
2	310	39
3	2329	37
0	8590	29
0	795	6443
1	2510	5625
0	8484	5338
0	782	5555
1	2614	4936
2	6501	4845
0	8060	4631
0	318	1889
1	971	1610
2	3142	1483
3	7433	1469
0	8011	1412
0	55	209
1	276	203
2	2169	175
0	9506	159
0	975	6858
1	3159	6080
0	8144	5788

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 1 187 to 647 computations (45.5% saved)

preprocess102.0ms (0.7%)

Memory

-11.0MiB live, 220.8MiB allocated

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 244 to 474 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze344.0ms (2.3%)

sample1.9s (12.4%)

preprocess57.0ms (0.4%)

explain387.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize53.0ms (0.3%)

series76.0ms (0.5%)

rewrite279.0ms (1.8%)

simplify485.0ms (3.2%)

eval32.0ms (0.2%)

prune67.0ms (0.4%)

simplify869.0ms (5.7%)

localize187.0ms (1.2%)

series78.0ms (0.5%)

rewrite610.0ms (4%)

simplify688.0ms (4.5%)

eval509.0ms (3.3%)

prune457.0ms (3%)

simplify682.0ms (4.5%)

localize313.0ms (2.1%)

series58.0ms (0.4%)

rewrite653.0ms (4.3%)

simplify447.0ms (2.9%)

eval214.0ms (1.4%)

prune293.0ms (1.9%)

simplify474.0ms (3.1%)

localize260.0ms (1.7%)

series58.0ms (0.4%)

rewrite586.0ms (3.9%)

simplify470.0ms (3.1%)

eval362.0ms (2.4%)

prune411.0ms (2.7%)

regimes377.0ms (2.5%)

regimes162.0ms (1.1%)

regimes108.0ms (0.7%)

regimes84.0ms (0.6%)

regimes22.0ms (0.1%)

regimes65.0ms (0.4%)

regimes22.0ms (0.1%)

regimes19.0ms (0.1%)

regimes36.0ms (0.2%)

regimes18.0ms (0.1%)

regimes6.0ms (0%)

regimes32.0ms (0.2%)

regimes11.0ms (0.1%)

regimes38.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.2%)

soundness1.7s (11.2%)

preprocess102.0ms (0.7%)

end0.0ms (0%)

Profiling