Metrics for Beckmann Sample, near normal, slope

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.9s (23.4%)

Results

2.9s	8256×	body	256	valid
1.0ms	4×	body	256	precondition

Bogosity

preprocess184.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2542×	`fma-def`
1196×	`unsub-neg`
1070×	`distribute-neg-in`
1068×	`fma-neg`
856×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	348
1	84	324
2	157	324
3	287	324
4	492	324
5	861	324
6	1075	324
7	1487	324
8	2198	324
9	2718	324
10	3511	324
11	4937	324
12	5972	324
13	6194	324
14	6203	324
15	6654	324
16	7779	324

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) (neg.f32 u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u1)))

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

Symmetry

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 16 to 14 computations (12.5% saved)

eval1.0ms (0%)

Compiler: Compiled 28 to 22 computations (21.4% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	58.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	58.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 62 to 54 computations (12.9% saved)

localize655.0ms (5.3%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.7%	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.3%	(*.f32 (PI.f32) u2)
✓	99.7%	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
✓	99.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.3%	(.f32 (.f32 2 (PI.f32)) u2)
✓	56.8%	(log.f32 (-.f32 1 u1))

Compiler

Compiled 98 to 55 computations (43.9% saved)

series53.0ms (0.4%)

Counts

8 → 104

Calls

30 calls:

Time	Variable		Point	Expression
31.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
6.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite163.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`log-prod`
724×	`pow-exp`
598×	`expm1-udef`
598×	`log1p-udef`
512×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	168
1	512	132
2	4823	132

Stop Event

1×	node limit

Counts

8 → 287

Calls

Call 1

Inputs
(log.f32 (-.f32 1 u1))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (PI.f32) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))

Outputs
(+.f32 (log1p.f32 u1) 0)
(+.f32 0 (log1p.f32 u1))
(+.f32 (log1p.f32 (pow.f32 u1 3)) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1)))))
(+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(+.f32 (.f32 2 (.f32 1/3 (log1p.f32 u1))) (*.f32 1/3 (log1p.f32 u1)))
(+.f32 (.f32 1/2 (log1p.f32 u1)) (.f32 1/2 (log1p.f32 u1)))
(+.f32 (.f32 1/3 (log1p.f32 u1)) (.f32 2 (*.f32 1/3 (log1p.f32 u1))))
(+.f32 (log.f32 (/.f32 1 (+.f32 1 (pow.f32 u1 3)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 1 (+.f32 1 (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 0 (log1p.f32 u1))
(-.f32 0 (log.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (+.f32 1 (pow.f32 u1 3)))))
(-.f32 0 (log.f32 (/.f32 (+.f32 1 u1) (+.f32 1 (*.f32 u1 u1)))))
(-.f32 0 (log.f32 (/.f32 (+.f32 1 u1) 1)))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log.f32 -1) (log.f32 (neg.f32 (+.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)
(-.f32 (log.f32 (neg.f32 (+.f32 1 (pow.f32 u1 3)))) (log.f32 (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (neg.f32 (+.f32 1 (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 1 u1))))
(-.f32 (log.f32 (/.f32 1 (cbrt.f32 (pow.f32 (+.f32 1 u1) 2)))) (*.f32 1/3 (log1p.f32 u1)))
(-.f32 (log.f32 (/.f32 1 (sqrt.f32 (+.f32 1 u1)))) (*.f32 1/2 (log1p.f32 u1)))
(*.f32 1 (log1p.f32 u1))
(*.f32 (log1p.f32 u1) 1)
(*.f32 (log1p.f32 u1) -1)
(.f32 2 (.f32 1/2 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(.f32 3 (.f32 1/3 (log1p.f32 u1)))
(*.f32 -1 (log1p.f32 u1))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 1/3 (.f32 3 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 -1 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(neg.f32 (log1p.f32 u1))
(neg.f32 (log.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (+.f32 1 (pow.f32 u1 3)))))
(neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (+.f32 1 (*.f32 u1 u1)))))
(neg.f32 (log.f32 (/.f32 (+.f32 1 u1) 1)))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u1)) 1) 1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2) 2))
(exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1) 2))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))) 3))
(exp.f32 (.f32 (.f32 2 (log.f32 (log1p.f32 u1))) 1/2))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 u1))) 1/3))
(log1p.f32 u1)
(+.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))
(+.f32 0 (.f32 2 (.f32 (PI.f32) u2)))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32)))) (cbrt.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)
(pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 1)
(pow.f32 (cbrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)
(sqrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 4))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (.f32 (pow.f32 (exp.f32 u2) (PI.f32)) (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2)))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2))) (pow.f32 (exp.f32 u2) (PI.f32))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2))) (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))
(expm1.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (.f32 2 (.f32 (PI.f32) u2))))
(exp.f32 (.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 1))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1/3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
(log1p.f32 (expm1.f32 (.f32 2 (.f32 (PI.f32) u2))))
(fma.f32 1 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))
(fma.f32 (PI.f32) u2 (*.f32 (PI.f32) u2))
(fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))
(fma.f32 (.f32 (PI.f32) u2) 1 (.f32 (PI.f32) u2))
(fma.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (*.f32 (PI.f32) u2))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (.f32 (PI.f32) u2)) (*.f32 (PI.f32) u2))
(fma.f32 (cbrt.f32 (.f32 u2 u2)) (.f32 (cbrt.f32 u2) (PI.f32)) (*.f32 (PI.f32) u2))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2) (.f32 (PI.f32) u2))
(fma.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (.f32 (PI.f32) u2)) (*.f32 (PI.f32) u2))
(fma.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)) (.f32 (PI.f32) u2))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2) (.f32 (PI.f32) u2))
(fma.f32 (.f32 (PI.f32) (cbrt.f32 (.f32 u2 u2))) (cbrt.f32 u2) (*.f32 (PI.f32) u2))
(fma.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2) (.f32 (PI.f32) u2))
(fma.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)) (.f32 (PI.f32) u2))
(fma.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 (PI.f32) u2))
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))
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(fma.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(fma.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))

simplify246.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1322×	`log-prod`
1204×	`associate-r`
1068×	`associate-l`
720×	`fma-def`
568×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	686	15683
1	1641	13701
2	7140	13697

Stop Event

1×	node limit

Counts

391 → 408

Calls

Call 1

Inputs
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (pow.f32 u1 3)))))))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
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(.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (fma.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) 1)
(pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)
(pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1))
(exp.f32 (.f32 (.f32 (log.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1) 1))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3))
(exp.f32 (.f32 (log.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)) 1/3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(fma.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(fma.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))

Outputs
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1))
(fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))
(-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1)
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))) u1)
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (/.f32 1 u1)))
(+.f32 (log.f32 u1) (-.f32 (log.f32 -1) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(-.f32 (+.f32 (log.f32 u1) (-.f32 (log.f32 -1) (/.f32 1 u1))) (/.f32 1/2 (*.f32 u1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))))
(-.f32 (-.f32 (+.f32 (log.f32 u1) (-.f32 (log.f32 -1) (/.f32 1 u1))) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (/.f32 (.f32 u1 u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))))) (/.f32 (.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (pow.f32 u1 3))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1)) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(.f32 -1 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
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(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1))
(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (.f32 (log.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1) 1))
(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3))
(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)) 1/3))
(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2))
(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(fma.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(+.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(fma.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(+.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(+.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(+.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(+.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (+.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(+.f32 (.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))

eval178.0ms (1.4%)

Compiler: Compiled 9953 to 6477 computations (34.9% saved)

prune125.0ms (1%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	385	23	408
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	385	25	410

Accuracy

99.9%

Counts

410 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	72.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	74.1%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	89.2%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	93.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	86.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	76.6%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
	97.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
▶	82.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.5%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	74.5%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.3%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)))
	70.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	74.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	72.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	74.1%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	89.2%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	93.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	86.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	76.6%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
	97.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
▶	82.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.5%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	74.5%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.3%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)))
	70.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 1690 to 1446 computations (14.4% saved)

localize548.0ms (4.4%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	99.3%	(*.f32 (PI.f32) u2)
✓	99.1%	(pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
✓	99.6%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.6%	(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
	99.3%	(.f32 (.f32 2 (PI.f32)) u2)
✓	97.9%	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
✓	99.6%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
✓	99.6%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	99.3%	(.f32 (.f32 2 (PI.f32)) u2)
✓	98.9%	(pow.f32 (log1p.f32 u1) 3/2)
✓	100.0%	(log1p.f32 (neg.f32 u1))
✓	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	99.3%	(*.f32 (PI.f32) u2)
✓	99.2%	(log1p.f32 (*.f32 (PI.f32) u2))
✓	99.1%	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))

Compiler

Compiled 239 to 96 computations (59.8% saved)

series56.0ms (0.4%)

Counts

14 → 188

Calls

54 calls:

Time	Variable		Point	Expression
14.0ms	u2	@	inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
6.0ms	u2	@	0	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
4.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
3.0ms	u2	@	0	(pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
3.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)

rewrite129.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`expm1-udef`
720×	`log1p-udef`
554×	`add-sqr-sqrt`
544×	`pow1`
532×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	306
1	725	236
2	6913	236

Stop Event

1×	node limit

Counts

14 → 361

Calls

Call 1

Inputs
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (*.f32 (PI.f32) u2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (neg.f32 u1))
(pow.f32 (log1p.f32 u1) 3/2)
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Outputs
(+.f32 (+.f32 (*.f32 (PI.f32) u2) 1) -1)
(-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(.f32 (.f32 (PI.f32) u2) 1)
(.f32 1 (.f32 (PI.f32) u2))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2)))
(.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (-.f32 (pow.f32 (+.f32 (.f32 (PI.f32) u2) 1) 3) 1) (+.f32 (.f32 (+.f32 (.f32 (PI.f32) u2) 1) (+.f32 (.f32 (PI.f32) u2) 1)) (+.f32 1 (.f32 (+.f32 (.f32 (PI.f32) u2) 1) 1))))
(/.f32 (-.f32 (.f32 (+.f32 (.f32 (PI.f32) u2) 1) (+.f32 (.f32 (PI.f32) u2) 1)) 1) (+.f32 (+.f32 (.f32 (PI.f32) u2) 1) 1))
(pow.f32 (*.f32 (PI.f32) u2) 1)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 1)
(.f32 (log1p.f32 (.f32 (PI.f32) u2)) 1)
(.f32 1 (log1p.f32 (.f32 (PI.f32) u2)))
(.f32 (cbrt.f32 (log1p.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (PI.f32) u2))) 2) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 2))
(log.f32 (+.f32 (*.f32 (PI.f32) u2) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 (PI.f32) u2))) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3))
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) 1) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 0 (log1p.f32 u1))
(-.f32 0 (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)
(*.f32 (log1p.f32 u1) 1)
(*.f32 (log1p.f32 u1) -1)
(.f32 (pow.f32 (log1p.f32 u1) 1/6) (.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 1 (log1p.f32 u1))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(*.f32 -1 (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 -1 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 2/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 6)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)
(*.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))
(*.f32 1 (pow.f32 (log1p.f32 u1) 3/2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 -1 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(neg.f32 (pow.f32 (log1p.f32 u1) 3/2))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 1/6))
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(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))

simplify222.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1784×	`fma-def`
708×	`associate-+r+`
678×	`*-commutative`
612×	`associate-+l+`
592×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1066	31019
1	3047	28139

Stop Event

1×	node limit

Counts

549 → 551

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 u2 (PI.f32)) (.f32 -1/4 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (/.f32 1 (.f32 u2 (PI.f32))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (pow.f32 u1 3)))))))
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (.f32 19/32 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 9))) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (/.f32 (.f32 (-.f32 (+.f32 (.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/4 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (pow.f32 u1 3)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))))
(sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))
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(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))

Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32)))
(fma.f32 -1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 u2 (PI.f32)))
(fma.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (.f32 u2 (PI.f32)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 u2 (PI.f32))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 u2 (PI.f32))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 u2 (PI.f32)) (.f32 -1/4 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 u2 (PI.f32) (.f32 -1/4 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (fma.f32 u2 (PI.f32) (.f32 (.f32 -1/4 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)))))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))
(log.f32 (*.f32 u2 (PI.f32)))
(+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(+.f32 (+.f32 (log.f32 (PI.f32)) (/.f32 1 (*.f32 u2 (PI.f32)))) (neg.f32 (neg.f32 (log.f32 u2))))
(+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (log.f32 (.f32 u2 (PI.f32))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (+.f32 (log.f32 (PI.f32)) (/.f32 1 (.f32 u2 (PI.f32)))) (neg.f32 (neg.f32 (log.f32 u2)))) (/.f32 1/2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (log.f32 (.f32 u2 (PI.f32)))) (/.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (PI.f32)) (-.f32 (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (fma.f32 -1 (neg.f32 (log.f32 u2)) (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3)))) (/.f32 1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(+.f32 (+.f32 (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (log.f32 (.f32 u2 (PI.f32)))) (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3))) (/.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2)))
(+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))
(-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32)))))
(fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (log.f32 (neg.f32 (PI.f32)))))
(+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (/.f32 1 (.f32 u2 (PI.f32))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (log.f32 (neg.f32 (PI.f32))))) (/.f32 1/2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (/.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (log.f32 (neg.f32 (PI.f32))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3))))) (/.f32 1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (+.f32 (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3))) (/.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) u1) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) u1) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (/.f32 (sqrt.f32 -1) (.f32 (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (/.f32 u1 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 -1/2 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) u1) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (sqrt.f32 -1) (.f32 (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (/.f32 u1 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))) (/.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(.f32 (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) u1))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))))
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1
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eval623.0ms (5%)

Compiler: Compiled 34929 to 23703 computations (32.1% saved)

prune280.0ms (2.2%)

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	1134	27	1161
Fresh	11	7	18
Picked	1	4	5
Done	0	2	2
Total	1146	40	1186

Accuracy

99.9%

Counts

1186 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	63.6%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	74.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	64.6%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	63.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	74.6%	(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	74.1%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	64.6%	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
	64.7%	(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	89.2%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.4%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) 1)
	77.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (*.f32 (pow.f32 u1 3) -1/3)) u1))) 1)
	93.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	86.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	79.0%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))) 1)
	76.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
▶	66.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	95.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/6) 6))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) 3) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	82.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.5%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	76.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	56.0%	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	63.9%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	64.8%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	72.3%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)))
	64.8%	(sqrt.f32 (log1p.f32 u1))
	38.5%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	74.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	63.6%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	74.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	64.6%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	63.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	74.6%	(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	74.1%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	64.6%	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
	64.7%	(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	89.2%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.4%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) 1)
	77.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (*.f32 (pow.f32 u1 3) -1/3)) u1))) 1)
	93.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	86.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	79.0%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))) 1)
	76.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
▶	66.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	95.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/6) 6))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) 3) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	82.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.5%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	76.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	56.0%	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	63.9%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	64.8%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	72.3%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)))
	64.8%	(sqrt.f32 (log1p.f32 u1))
	38.5%	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 2328 to 1998 computations (14.2% saved)

localize901.0ms (7.2%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.5%	(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
✓	99.3%	(.f32 (PI.f32) (.f32 u2 2))
✓	99.7%	(sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))))
✓	99.7%	(+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
✓	99.3%	(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
✓	98.8%	(*.f32 -1/3 (pow.f32 u1 3))
✓	100.0%	(log1p.f32 u1)
✓	99.8%	(pow.f32 (log1p.f32 u1) 1/4)
✓	98.6%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
	99.3%	(*.f32 (PI.f32) u2)
✓	54.1%	(-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)

Compiler

Compiled 330 to 214 computations (35.2% saved)

series14.0ms (0.1%)

Counts

12 → 135

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
2.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
1.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 1/4)
1.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 1/4)
1.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`add-sqr-sqrt`
914×	`pow1`
898×	`*-un-lft-identity`
880×	`log1p-expm1-u`
878×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	302
1	1002	302

Stop Event

1×	node limit

Counts

12 → 107

Calls

Call 1

Inputs
(-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (log1p.f32 u1) 1/4)
(log1p.f32 u1)
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))))
(.f32 (PI.f32) (.f32 u2 2))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

Outputs
(+.f32 (*.f32 (PI.f32) u2) 0)
(+.f32 (fma.f32 (PI.f32) u2 1) -1)
(.f32 1 (+.f32 (.f32 (PI.f32) u2) 0))
(.f32 (.f32 (cbrt.f32 (+.f32 (.f32 (PI.f32) u2) 0)) (cbrt.f32 (+.f32 (.f32 (PI.f32) u2) 0))) (cbrt.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(.f32 (sqrt.f32 (+.f32 (.f32 (PI.f32) u2) 0)) (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(/.f32 (-.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 3) 1) (+.f32 (.f32 (fma.f32 (PI.f32) u2 1) (fma.f32 (PI.f32) u2 1)) (+.f32 1 (.f32 (fma.f32 (PI.f32) u2 1) 1))))
(/.f32 (-.f32 (*.f32 (fma.f32 (PI.f32) u2 1) (fma.f32 (PI.f32) u2 1)) 1) (+.f32 (fma.f32 (PI.f32) u2 1) 1))
(pow.f32 (+.f32 (*.f32 (PI.f32) u2) 0) 1)
(log.f32 (exp.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(cbrt.f32 (.f32 (.f32 (+.f32 (.f32 (PI.f32) u2) 0) (+.f32 (.f32 (PI.f32) u2) 0)) (+.f32 (*.f32 (PI.f32) u2) 0)))
(expm1.f32 (log1p.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(exp.f32 (log.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(log1p.f32 (expm1.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(pow.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (+.f32 (*.f32 (PI.f32) u2) 0) 2))) 1)
(log.f32 (exp.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (+.f32 (*.f32 (PI.f32) u2) 0) 2)))))
(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (+.f32 (.f32 (PI.f32) u2) 0) 2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (+.f32 (.f32 (PI.f32) u2) 0) 2)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (+.f32 (*.f32 (PI.f32) u2) 0) 2)))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (+.f32 (*.f32 (PI.f32) u2) 0) 2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (+.f32 (*.f32 (PI.f32) u2) 0) 2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (+.f32 (*.f32 (PI.f32) u2) 0) 2)))))
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/2))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/2)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/2))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/2)))
(*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/2)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/2)))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/2)))
(cbrt.f32 (.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/2) (pow.f32 (log1p.f32 u1) 1/2)) (pow.f32 (log1p.f32 u1) 1/2)))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/2)))
(exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/2)))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/2)))
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/2) (pow.f32 (log1p.f32 u1) 1/4)))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/4))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 1 (log1p.f32 u1))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (log1p.f32 u1) 1)
(log.f32 (+.f32 1 u1))
(cbrt.f32 (.f32 (.f32 (log1p.f32 u1) (log1p.f32 u1)) (log1p.f32 u1)))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1)
(log.f32 (exp.f32 (*.f32 -1/3 (pow.f32 u1 3))))
(cbrt.f32 (.f32 (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/3 (pow.f32 u1 3))) (*.f32 -1/3 (pow.f32 u1 3))))
(expm1.f32 (log1p.f32 (*.f32 -1/3 (pow.f32 u1 3))))
(exp.f32 (log.f32 (*.f32 -1/3 (pow.f32 u1 3))))
(log1p.f32 (expm1.f32 (*.f32 -1/3 (pow.f32 u1 3))))
(.f32 1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))
(.f32 (.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(.f32 (sqrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))
(/.f32 (+.f32 (pow.f32 (.f32 -1/3 (pow.f32 u1 3)) 3) (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 3)) (+.f32 (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/3 (pow.f32 u1 3))) (-.f32 (.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 -1/2 (.f32 u1 u1))) (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (*.f32 u1 u1))))))
(/.f32 (-.f32 (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/3 (pow.f32 u1 3))) (.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 -1/2 (.f32 u1 u1)))) (-.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (*.f32 u1 u1))))
(pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) 1)
(log.f32 (exp.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(cbrt.f32 (.f32 (.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(expm1.f32 (log1p.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(exp.f32 (log.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(log1p.f32 (expm1.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(.f32 1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))
(.f32 (.f32 (cbrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (cbrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))) (cbrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))
(.f32 (sqrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (sqrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))))
(/.f32 (+.f32 (pow.f32 (.f32 -1/4 (pow.f32 u1 4)) 3) (pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) 3)) (+.f32 (.f32 (.f32 -1/4 (pow.f32 u1 4)) (.f32 -1/4 (pow.f32 u1 4))) (-.f32 (.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) (.f32 (.f32 -1/4 (pow.f32 u1 4)) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))))
(/.f32 (-.f32 (.f32 (.f32 -1/4 (pow.f32 u1 4)) (.f32 -1/4 (pow.f32 u1 4))) (.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (-.f32 (.f32 -1/4 (pow.f32 u1 4)) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))
(pow.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) 1)
(log.f32 (exp.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))
(cbrt.f32 (.f32 (.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))
(expm1.f32 (log1p.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))
(exp.f32 (log.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))
(log1p.f32 (expm1.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))
(fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))
(.f32 1 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))) (sqrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))))))
(pow.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))) 1/2)
(pow.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))) 1)
(log.f32 (exp.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(cbrt.f32 (.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))) (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))))))
(expm1.f32 (log1p.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(exp.f32 (log.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)
(log.f32 (exp.f32 (.f32 (PI.f32) (.f32 u2 2))))
(cbrt.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 u2 2)) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))
(-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cbrt.f32 (.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(pow.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(log.f32 (exp.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

simplify157.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

952×	`associate-r`
930×	`associate-l`
920×	`fma-def`
562×	`*-commutative`
486×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	592	13856
1	1620	12482
2	6219	12250

Stop Event

1×	node limit

Counts

242 → 317

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
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u1
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1
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(.f32 1 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))) (sqrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))))))
(pow.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))) 1/2)
(pow.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))) 1)
(log.f32 (exp.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(cbrt.f32 (.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))) (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))))))
(expm1.f32 (log1p.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(exp.f32 (log.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)
(log.f32 (exp.f32 (.f32 (PI.f32) (.f32 u2 2))))
(cbrt.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 u2 2)) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))
(-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cbrt.f32 (.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(pow.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(log.f32 (exp.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (.f32 u1 u1)) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (.f32 u1 u1)) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (/.f32 (.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (pow.f32 u1 3))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) u1) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)))
(.f32 -1 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) u1))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 -1 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))))
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u1
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(pow.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))) 1)
(sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1))))))
(sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4)))))))
(sqrt.f32 (-.f32 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4))))))
(log.f32 (exp.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1))))))
(sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4)))))))
(sqrt.f32 (-.f32 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4))))))
(cbrt.f32 (.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))) (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))))))
(cbrt.f32 (.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1))))) (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (*.f32 -1/2 u1) u1))))))))
(cbrt.f32 (pow.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4)))))) 3/2))
(cbrt.f32 (pow.f32 (-.f32 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4))))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1))))))
(sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4)))))))
(sqrt.f32 (-.f32 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4))))))
(exp.f32 (log.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1))))))
(sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4)))))))
(sqrt.f32 (-.f32 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))))
(sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1))))))
(sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4)))))))
(sqrt.f32 (-.f32 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/4 (pow.f32 u1 4))))))
(pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)
(.f32 (PI.f32) (.f32 u2 2))
(log.f32 (exp.f32 (.f32 (PI.f32) (.f32 u2 2))))
(.f32 (PI.f32) (.f32 u2 2))
(cbrt.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 u2 2)) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (PI.f32) (.f32 u2 2))))
(.f32 (PI.f32) (.f32 u2 2))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))
(.f32 (PI.f32) (.f32 u2 2))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))))
(.f32 (PI.f32) (.f32 u2 2))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))
(.f32 (PI.f32) (.f32 u2 2))
(-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cbrt.f32 (.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(pow.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(log.f32 (exp.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))

eval502.0ms (4%)

Compiler: Compiled 20996 to 15774 computations (24.9% saved)

prune192.0ms (1.5%)

Pruning

50 alts after pruning (42 fresh and 8 done)

	Pruned	Kept	Total
New	602	18	620
Fresh	5	24	29
Picked	3	2	5
Done	0	6	6
Total	610	50	660

Accuracy

100.0%

Counts

660 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	18.4%	(.f32 (fma.f32 u1 1/3 (.f32 u1 (*.f32 u1 1/2))) 1)
	21.2%	(.f32 (fma.f32 1/2 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 7/18)) 1)
	64.8%	(*.f32 (fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1)) 1)
	64.6%	(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 1/4) 2) 1)
	72.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	63.6%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	74.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	63.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	66.2%	(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
	74.6%	(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.4%	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
▶	63.9%	(.f32 (pow.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/4)) 2) 1)
	72.7%	(.f32 (pow.f32 (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	74.1%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	64.6%	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
	14.9%	(.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 7/18 (+.f32 (.f32 1/3 u1) (.f32 20/27 (/.f32 1 u1))))) 1)
	77.9%	(.f32 (.f32 (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))))))) 1)
	64.7%	(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
▶	14.4%	(.f32 (.f32 u1 (*.f32 u1 1/2)) 1)
	89.2%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.4%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) 1)
	77.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (*.f32 (pow.f32 u1 3) -1/3)) u1))) 1)
	93.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	79.0%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))))) 1)
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) 3) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
▶	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	82.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.5%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	76.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.5%	(*.f32 (sqrt.f32 u1) 1)
	56.0%	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	63.9%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	78.9%	(.f32 (cbrt.f32 (pow.f32 (-.f32 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (*.f32 -1/4 (pow.f32 u1 4))))) 3/2)) 1)
	64.8%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	72.3%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)))
	64.8%	(sqrt.f32 (log1p.f32 u1))
	38.5%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	80.1%	(log.f32 (exp.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	94.0%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	74.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	18.4%	(.f32 (fma.f32 u1 1/3 (.f32 u1 (*.f32 u1 1/2))) 1)
	21.2%	(.f32 (fma.f32 1/2 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 7/18)) 1)
	64.8%	(*.f32 (fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1)) 1)
	64.6%	(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 1/4) 2) 1)
	72.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	63.6%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	74.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	63.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	66.2%	(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
	74.6%	(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.4%	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
▶	63.9%	(.f32 (pow.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/4)) 2) 1)
	72.7%	(.f32 (pow.f32 (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	74.1%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	64.6%	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
	14.9%	(.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 7/18 (+.f32 (.f32 1/3 u1) (.f32 20/27 (/.f32 1 u1))))) 1)
	77.9%	(.f32 (.f32 (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))))))) 1)
	64.7%	(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
▶	14.4%	(.f32 (.f32 u1 (*.f32 u1 1/2)) 1)
	89.2%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.4%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) 1)
	77.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (*.f32 (pow.f32 u1 3) -1/3)) u1))) 1)
	93.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	79.0%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))))) 1)
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) 3) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
▶	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	82.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.5%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	76.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.5%	(*.f32 (sqrt.f32 u1) 1)
	56.0%	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	63.9%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	78.9%	(.f32 (cbrt.f32 (pow.f32 (-.f32 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (*.f32 -1/4 (pow.f32 u1 4))))) 3/2)) 1)
	64.8%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	72.3%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)))
	64.8%	(sqrt.f32 (log1p.f32 u1))
	38.5%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	80.1%	(log.f32 (exp.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	94.0%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

Compiler

Compiled 3064 to 2586 computations (15.6% saved)

localize532.0ms (4.3%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
✓	99.5%	(cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
	99.3%	(.f32 (PI.f32) (.f32 u2 2))
✓	97.6%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	100.0%	(log1p.f32 u1)
✓	99.9%	(log.f32 (log1p.f32 u1))
✓	98.6%	(pow.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/4)) 2)
✓	98.0%	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/4))
	100.0%	(log1p.f32 u1)
✓	99.6%	(cbrt.f32 (log1p.f32 u1))
✓	98.8%	(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
✓	99.7%	(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
✓	54.1%	(+.f32 (fma.f32 (PI.f32) u2 1) -1)

Compiler

Compiled 200 to 113 computations (43.5% saved)

series80.0ms (0.6%)

Counts

11 → 164

Calls

45 calls:

Time	Variable		Point	Expression
29.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
10.0ms	u1	@	-inf	(cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
7.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
6.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
5.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`add-sqr-sqrt`
676×	`pow1`
666×	`*-un-lft-identity`
646×	`add-exp-log`
646×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	255
1	752	225

Stop Event

1×	node limit

Counts

11 → 269

Calls

Call 1

Inputs
(+.f32 (fma.f32 (PI.f32) u2 1) -1)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(cbrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/4))
(pow.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/4)) 2)
(log.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))

Outputs
(-.f32 (exp.f32 (log1p.f32 (+.f32 (*.f32 (PI.f32) u2) 0))) 1)
(-.f32 (/.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (.f32 (PI.f32) u2) 2)) (/.f32 1 (+.f32 (.f32 (PI.f32) u2) 2)))
(.f32 1 (+.f32 (.f32 (PI.f32) u2) 0))
(.f32 (cbrt.f32 (+.f32 (.f32 (PI.f32) u2) 0)) (pow.f32 (cbrt.f32 (+.f32 (*.f32 (PI.f32) u2) 0)) 2))
(.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) (cbrt.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(.f32 (sqrt.f32 (+.f32 (.f32 (PI.f32) u2) 0)) (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 3) -1) (/.f32 1 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (-.f32 1 (.f32 (fma.f32 (PI.f32) u2 1) -1)))))
(.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1) (/.f32 1 (+.f32 (.f32 (PI.f32) u2) 2)))
(*.f32 (+.f32 (sqrt.f32 (fma.f32 (PI.f32) u2 1)) 1) (-.f32 (sqrt.f32 (fma.f32 (PI.f32) u2 1)) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (-.f32 1 (*.f32 (fma.f32 (PI.f32) u2 1) -1))) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 3) -1)))
(/.f32 1 (/.f32 (+.f32 (*.f32 (PI.f32) u2) 2) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1)))
(/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 3) -1) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (-.f32 1 (*.f32 (fma.f32 (PI.f32) u2 1) -1))))
(/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1) (+.f32 (*.f32 (PI.f32) u2) 2))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 3) -1)) (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (-.f32 1 (*.f32 (fma.f32 (PI.f32) u2 1) -1)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1)) (neg.f32 (+.f32 (*.f32 (PI.f32) u2) 2)))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)) (+.f32 1 (-.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (*.f32 -1 (fma.f32 (PI.f32) u2 1)))))
(/.f32 (-.f32 1 (pow.f32 (fma.f32 (PI.f32) u2 1) 2)) (-.f32 -1 (fma.f32 (PI.f32) u2 1)))
(pow.f32 (+.f32 (*.f32 (PI.f32) u2) 0) 1)
(pow.f32 (cbrt.f32 (+.f32 (*.f32 (PI.f32) u2) 0)) 3)
(pow.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 0) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 0)) 2)
(sqrt.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 0) 2))
(log.f32 (exp.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (*.f32 (PI.f32) u2) 0))))
(cbrt.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 0) 3))
(expm1.f32 (log1p.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(exp.f32 (log.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(exp.f32 (.f32 (log.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 1))
(log1p.f32 (expm1.f32 (+.f32 (*.f32 (PI.f32) u2) 0)))
(fma.f32 1 (fma.f32 (PI.f32) u2 1) -1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (PI.f32) u2 1)) 2) (cbrt.f32 (fma.f32 (PI.f32) u2 1)) -1)
(fma.f32 (sqrt.f32 (fma.f32 (PI.f32) u2 1)) (sqrt.f32 (fma.f32 (PI.f32) u2 1)) -1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (sqrt.f32 (log1p.f32 u1))))) 1)
(pow.f32 (*.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (sqrt.f32 (log1p.f32 u1)))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (fma.f32 (neg.f32 (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0))) (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0)) (pow.f32 (sin.f32 (+.f32 (*.f32 (PI.f32) u2) 0)) 2)))
(+.f32 (pow.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) (neg.f32 (pow.f32 (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2)))
(+.f32 (pow.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) (.f32 (neg.f32 (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0))) (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0))))
(-.f32 (pow.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) (pow.f32 (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))) 1)
(-.f32 (.f32 (cos.f32 (.f32 2 (fma.f32 (PI.f32) u2 1))) (cos.f32 -2)) (.f32 (sin.f32 (.f32 2 (fma.f32 (PI.f32) u2 1))) (sin.f32 -2)))
(-.f32 (.f32 (cos.f32 (.f32 (fma.f32 (PI.f32) u2 1) 2)) (cos.f32 -2)) (.f32 (sin.f32 (.f32 (fma.f32 (PI.f32) u2 1) 2)) (sin.f32 -2)))
(*.f32 1 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))
(*.f32 (cbrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) (pow.f32 (cbrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 2) (cbrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(*.f32 (sqrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) (sqrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(.f32 (+.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0))) (-.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) (sin.f32 (+.f32 (*.f32 (PI.f32) u2) 0))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) 3)) (+.f32 (.f32 (pow.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) (pow.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2)) (+.f32 (.f32 (pow.f32 (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) (pow.f32 (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2)) (.f32 (pow.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) (pow.f32 (sin.f32 (+.f32 (*.f32 (PI.f32) u2) 0)) 2)))))
(/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) (pow.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2)) (.f32 (pow.f32 (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) (pow.f32 (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2))) (+.f32 (pow.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2) (pow.f32 (sin.f32 (+.f32 (.f32 (PI.f32) u2) 0)) 2)))
(pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 1)
(pow.f32 (cbrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 3)
(pow.f32 (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 3) 1/3)
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(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))) 1)
(.f32 1 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (cbrt.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (pow.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))) 1/3))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))) (cbrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/6) (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1/6))
(.f32 (pow.f32 1 1/3) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))) 1/3) (cbrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1/3) (pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1/3))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1)
(pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1/6) 2)
(sqrt.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))))
(log.f32 (exp.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(exp.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1))
(log1p.f32 (expm1.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))) 3/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

simplify253.0ms (2%)

Algorithm

1×	egg-herbie

Rules

980×	`*-commutative`
766×	`distribute-lft-in`
762×	`distribute-rgt-in`
640×	`sqr-pow`
596×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1392	35335
1	4150	33421

Stop Event

1×	node limit

Counts

433 → 595

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))
(cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))
(cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))
(cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))
(cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))
(cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))
(cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))
(cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 1 5) 1/9) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/18) (/.f32 1 u1))))))
(+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/8 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 10)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))) (.f32 3/4 (+.f32 (.f32 2/3 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (log.f32 (/.f32 1 u1)))) (.f32 -1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 10)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 1 5) 1/9) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/18) (/.f32 1 u1)))))))
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(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (/.f32 (.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (pow.f32 u1 3))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1))) (/.f32 (.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (+.f32 1/3 (/.f32 (+.f32 1/4 (.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (+.f32 (log.f32 -1) (log.f32 u1))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (pow.f32 u1 3))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 -1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) u1))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 -1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 -1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 -1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 (sqrt.f32 -1) (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(fma.f32 -2 (.f32 (sqrt.f32 -1) (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 2/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (.f32 (sqrt.f32 -1) (pow.f32 u2 4)) (pow.f32 (PI.f32) 4))))))
(fma.f32 -2 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 2/3 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u2 4)) (pow.f32 (PI.f32) 4))))))
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(cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1))
(cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))) 3/2)
(pow.f32 (cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))) 3/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))

eval876.0ms (7%)

Compiler: Compiled 37276 to 28701 computations (23% saved)

prune258.0ms (2.1%)

Pruning

55 alts after pruning (44 fresh and 11 done)

	Pruned	Kept	Total
New	907	11	918
Fresh	4	33	37
Picked	2	3	5
Done	0	8	8
Total	913	55	968

Accuracy

100.0%

Counts

968 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.5%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
	38.5%	(pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 1/6) 3)
	76.1%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	18.4%	(.f32 (fma.f32 u1 1/3 (.f32 u1 (*.f32 u1 1/2))) 1)
	21.2%	(.f32 (fma.f32 1/2 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 7/18)) 1)
	64.8%	(*.f32 (fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1)) 1)
	64.6%	(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 1/4) 2) 1)
	72.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	63.6%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	63.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/3) 3/2) 1)
	66.2%	(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
	74.6%	(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.4%	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
	64.0%	(.f32 (pow.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 u1 -1/2)) 1/4)) 2) 1)
	65.5%	(.f32 (pow.f32 (exp.f32 (.f32 (log.f32 u1) 1/4)) 2) 1)
	72.7%	(.f32 (pow.f32 (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	64.6%	(.f32 (pow.f32 (cbrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1)) 3/2) 1)
✓	74.1%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	64.6%	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
	66.3%	(*.f32 (pow.f32 (cbrt.f32 u1) 3/2) 1)
	14.9%	(.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 7/18 (+.f32 (.f32 1/3 u1) (.f32 20/27 (/.f32 1 u1))))) 1)
	77.9%	(.f32 (.f32 (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))))))) 1)
	64.7%	(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
✓	14.4%	(.f32 (.f32 u1 (*.f32 u1 1/2)) 1)
	89.2%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.4%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) 1)
	77.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (*.f32 (pow.f32 u1 3) -1/3)) u1))) 1)
	93.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	79.0%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))))) 1)
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
	99.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))) 1))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) 3) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	97.3%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	96.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	82.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.5%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	76.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.5%	(*.f32 (sqrt.f32 u1) 1)
	56.0%	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	63.9%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	78.9%	(.f32 (cbrt.f32 (pow.f32 (-.f32 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (*.f32 -1/4 (pow.f32 u1 4))))) 3/2)) 1)
	64.8%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	72.3%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1)))
	64.8%	(sqrt.f32 (log1p.f32 u1))
	38.5%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	80.1%	(log.f32 (exp.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	94.0%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

Compiler

Compiled 1990 to 1453 computations (27% saved)

regimes620.0ms (5%)

Counts

81 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 (*.f32 u1 1/2)) 1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (fma.f32 u1 1/3 (.f32 u1 (*.f32 u1 1/2))) 1)
(.f32 (fma.f32 1/2 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 7/18)) 1)
(.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 7/18 (+.f32 (.f32 1/3 u1) (.f32 20/27 (/.f32 1 u1))))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (cbrt.f32 u1) 3/2) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/3) 3/2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 1/6) 3)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 (.f32 (log.f32 u1) 1/4)) 2) 1)
(*.f32 (fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1)) 3/2) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 1/4) 2) 1)
(.f32 (pow.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 u1 -1/2)) 1/4)) 2) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (*.f32 (pow.f32 u1 3) -1/3)) u1))) 1)
(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/4)) 2) 1)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))))) 1)
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))) 1)
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(log.f32 (exp.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/6) 6))
(.f32 (cbrt.f32 (pow.f32 (-.f32 u1 (fma.f32 (pow.f32 u1 3) -1/3 (fma.f32 -1/2 (.f32 u1 u1) (*.f32 -1/4 (pow.f32 u1 4))))) 3/2)) 1)
(.f32 (pow.f32 (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) 3) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
(.f32 (.f32 (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))))))) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Calls

10 calls:

298.0ms	cosTheta_i
62.0ms	u1
39.0ms	(.f32 (.f32 2 (PI.f32)) u2)
38.0ms	u2
36.0ms	(log.f32 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
99.3%	1	`cosTheta_i`
99.3%	1	`u1`
99.3%	1	`u2`
99.3%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
99.3%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
99.3%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
99.3%	1	`(log.f32 (-.f32 1 u1))`
99.3%	1	`(-.f32 1 u1)`
99.3%	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
99.3%	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1176 to 760 computations (35.4% saved)

regimes427.0ms (3.4%)

Counts

32 → 2

Calls

Call 1

Inputs
(.f32 (.f32 u1 (*.f32 u1 1/2)) 1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (fma.f32 u1 1/3 (.f32 u1 (*.f32 u1 1/2))) 1)
(.f32 (fma.f32 1/2 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 7/18)) 1)
(.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 7/18 (+.f32 (.f32 1/3 u1) (.f32 20/27 (/.f32 1 u1))))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (cbrt.f32 u1) 3/2) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/3) 3/2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 1/6) 3)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 (.f32 (log.f32 u1) 1/4)) 2) 1)
(*.f32 (fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1)) 3/2) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 1/4) 2) 1)
(.f32 (pow.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 u1 -1/2)) 1/4)) 2) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (*.f32 (pow.f32 u1 3) -1/3)) u1))) 1)
(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/4)) 2) 1)

Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Calls

5 calls:

88.0ms	u1
72.0ms	u2
58.0ms	(.f32 (.f32 2 (PI.f32)) u2)
19.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
14.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
82.4%	1	`cosTheta_i`
89.9%	2	`u1`
92.2%	2	`u2`
92.2%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
92.2%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 314 to 228 computations (27.4% saved)

regimes84.0ms (0.7%)

Counts

21 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 (*.f32 u1 1/2)) 1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (fma.f32 u1 1/3 (.f32 u1 (*.f32 u1 1/2))) 1)
(.f32 (fma.f32 1/2 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 7/18)) 1)
(.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 7/18 (+.f32 (.f32 1/3 u1) (.f32 20/27 (/.f32 1 u1))))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (cbrt.f32 u1) 3/2) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/3) 3/2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 1/6) 3)

Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)

Calls

3 calls:

40.0ms	u1
29.0ms	u2
11.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
82.4%	1	`cosTheta_i`
82.4%	1	`u1`
82.4%	1	`u2`

Compiler

Compiled 180 to 136 computations (24.4% saved)

regimes38.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 (*.f32 u1 1/2)) 1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (fma.f32 u1 1/3 (.f32 u1 (*.f32 u1 1/2))) 1)
(.f32 (fma.f32 1/2 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 7/18)) 1)
(.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 7/18 (+.f32 (.f32 1/3 u1) (.f32 20/27 (/.f32 1 u1))))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (cbrt.f32 u1) 3/2) 1)

Outputs
(*.f32 (sqrt.f32 u1) 1)

Calls

3 calls:

24.0ms	u2
6.0ms	u1
6.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
66.5%	1	`u2`
66.5%	1	`u1`
66.5%	1	`cosTheta_i`

Compiler

Compiled 87 to 68 computations (21.8% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f32 (.f32 u1 (*.f32 u1 1/2)) 1)

Outputs
(.f32 (.f32 u1 (*.f32 u1 1/2)) 1)

Calls

3 calls:

3.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
14.4%	1	`u2`
14.4%	1	`cosTheta_i`
14.4%	1	`u1`

Compiler

Compiled 22 to 17 computations (22.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.006770637352019548	0.00967941340059042

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative`
6×	`*-rgt-identity`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	145
1	53	145
2	57	145
3	59	145

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 8589935/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 u1) 1)
(.f32 (.f32 u1 (*.f32 u1 1/2)) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 8589935/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 8589935/1073741824) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 u1) 1)
(sqrt.f32 u1)
(.f32 (.f32 u1 (*.f32 u1 1/2)) 1)
(.f32 u1 (.f32 u1 1/2))

Compiler

Compiled 61 to 50 computations (18% saved)

soundness866.0ms (6.9%)

Rules

2542×	`fma-def`
1674×	`log-prod`
1196×	`unsub-neg`
1070×	`distribute-neg-in`
1068×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	348
1	84	324
2	157	324
3	287	324
4	492	324
5	861	324
6	1075	324
7	1487	324
8	2198	324
9	2718	324
10	3511	324
11	4937	324
12	5972	324
13	6194	324
14	6203	324
15	6654	324
16	7779	324
0	592	13856
1	1620	12482
2	6219	12250
0	36	306
1	725	236
2	6913	236
0	25	168
1	512	132
2	4823	132

Stop Event

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

Compiler

Compiled 580 to 420 computations (27.6% saved)

end0.0ms (0%)

preprocess47.0ms (0.4%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 190 to 136 computations (28.4% saved)

analyze1.0ms (0%)

sample2.9s (23.4%)

preprocess184.0ms (1.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize655.0ms (5.3%)

series53.0ms (0.4%)

rewrite163.0ms (1.3%)

simplify246.0ms (2%)

eval178.0ms (1.4%)

prune125.0ms (1%)

localize548.0ms (4.4%)

series56.0ms (0.4%)

rewrite129.0ms (1%)

simplify222.0ms (1.8%)

eval623.0ms (5%)

prune280.0ms (2.2%)

localize901.0ms (7.2%)

series14.0ms (0.1%)

rewrite89.0ms (0.7%)

simplify157.0ms (1.3%)

eval502.0ms (4%)

prune192.0ms (1.5%)

localize532.0ms (4.3%)

series80.0ms (0.6%)

rewrite93.0ms (0.7%)

simplify253.0ms (2%)

eval876.0ms (7%)

prune258.0ms (2.1%)

regimes620.0ms (5%)

regimes427.0ms (3.4%)

regimes84.0ms (0.7%)

regimes38.0ms (0.3%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

simplify40.0ms (0.3%)

soundness866.0ms (6.9%)

end0.0ms (0%)

preprocess47.0ms (0.4%)

Profiling