Metrics for GTR1 distribution

analyze61.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.6%	99.4%	0%	0%	0%	0
0%	0%	0.6%	99.4%	0%	0%	0%	1
0%	0%	0.6%	99.4%	0%	0%	0%	2
50%	0.3%	0.3%	99.4%	0%	0%	0%	3
50%	0.3%	0.3%	99.4%	0%	0%	0%	4
75%	0.5%	0.2%	99.4%	0%	0%	0%	5
75%	0.5%	0.2%	99.4%	0%	0%	0%	6
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	7
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	8
93.8%	0.6%	0%	99.4%	0%	0%	0%	9
93.8%	0.6%	0%	99.4%	0%	0%	0%	10
96.9%	0.6%	0%	99.4%	0%	0%	0%	11
96.9%	0.6%	0%	99.4%	0%	0%	0%	12

Compiler

Compiled 41 to 27 computations (34.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

Operation ival-mult, time spent: 7.0ms, 30.0% of total-time

Operation ival-log, time spent: 5.0ms, 22.0% of total-time

Operation ival-<=, time spent: 4.0ms, 17.0% of total-time

Operation ival-sub, time spent: 3.0ms, 13.0% of total-time

Operation ival-div, time spent: 1.0ms, 4.0% of total-time

Operation ival-add, time spent: 1.0ms, 4.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

Operation ival-pi, time spent: 1.0ms, 4.0% of total-time

Operation ival-and, time spent: 1.0ms, 4.0% of total-time

sample2.9s (12.9%)

Results

2.3s	8255×	0	valid
0.0ms	1×	0	valid

Precisions

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

Operation ival-mult, time spent: 312.0ms, 25.0% of total-time

Operation ival-sub, time spent: 287.0ms, 23.0% of total-time

Operation ival-log, time spent: 175.0ms, 14.0% of total-time

Operation ival-add, time spent: 148.0ms, 12.0% of total-time

Operation ival-<=, time spent: 140.0ms, 11.0% of total-time

Operation ival-div, time spent: 71.0ms, 6.0% of total-time

Operation const, time spent: 45.0ms, 4.0% of total-time

Operation ival-pi, time spent: 41.0ms, 3.0% of total-time

Operation ival-and, time spent: 33.0ms, 3.0% of total-time

Bogosity

preprocess2.9s (12.9%)

Algorithm

1×	egg-herbie

Rules

992×	`fma-def`
443×	`div-sub`
394×	`times-frac`
366×	`distribute-lft-neg-in`
303×	`associate-r`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(4.004219052100721e-35 0.2226923406124115)	`(PI.f32)`
0	-	0	-	`(.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta)`
0	-	0	-	`(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))`
0	-	0	-	`(*.f32 alpha alpha)`
0	-	0	-	`(log.f32 (*.f32 alpha alpha))`
0	-	0	-	`(.f32 (-.f32 (.f32 alpha alpha) 1) cosTheta)`
0	-	0	-	`alpha`
0	-	0	-	`(-.f32 (*.f32 alpha alpha) 1)`
0	-	0	-	`cosTheta`
0	-	0	-	`(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (.f32 alpha alpha) 1) cosTheta) cosTheta)))`
0	-	0	-	`(+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))`
0	-	0	-	`(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))`
0	-	0	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	647
1	180	582
2	651	582
3	3904	582

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) (neg.f32 cosTheta)) (neg.f32 cosTheta)))))
(/.f32 (-.f32 (.f32 (neg.f32 alpha) (neg.f32 alpha)) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (neg.f32 alpha) (neg.f32 alpha)))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) 1) cosTheta) cosTheta))))
(neg.f32 (/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) (neg.f32 cosTheta)) (neg.f32 cosTheta))))))
(neg.f32 (/.f32 (-.f32 (.f32 (neg.f32 alpha) (neg.f32 alpha)) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (neg.f32 alpha) (neg.f32 alpha)))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) 1) cosTheta) cosTheta)))))
(/.f32 (-.f32 (.f32 cosTheta cosTheta) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 cosTheta cosTheta))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 cosTheta cosTheta) 1) alpha) alpha))))

Outputs
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (fma.f32 alpha alpha -1) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (fma.f32 alpha alpha -1) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) (neg.f32 cosTheta)) (neg.f32 cosTheta)))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (fma.f32 alpha alpha -1) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))
(/.f32 (-.f32 (.f32 (neg.f32 alpha) (neg.f32 alpha)) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (neg.f32 alpha) (neg.f32 alpha)))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) 1) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (fma.f32 alpha alpha -1) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))
(neg.f32 (/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) (neg.f32 cosTheta)) (neg.f32 cosTheta))))))
(/.f32 (neg.f32 (fma.f32 alpha alpha -1)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (neg.f32 cosTheta) (*.f32 (fma.f32 alpha alpha -1) (neg.f32 cosTheta))))))
(/.f32 (neg.f32 (fma.f32 alpha alpha -1)) (.f32 (.f32 2 (log.f32 alpha)) (.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))
(/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))))
(/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))
(neg.f32 (/.f32 (-.f32 (.f32 (neg.f32 alpha) (neg.f32 alpha)) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 (neg.f32 alpha) (neg.f32 alpha)))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 (neg.f32 alpha) (neg.f32 alpha)) 1) cosTheta) cosTheta)))))
(/.f32 (neg.f32 (fma.f32 alpha alpha -1)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (neg.f32 cosTheta) (*.f32 (fma.f32 alpha alpha -1) (neg.f32 cosTheta))))))
(/.f32 (neg.f32 (fma.f32 alpha alpha -1)) (.f32 (.f32 2 (log.f32 alpha)) (.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))
(/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))))
(/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))
(/.f32 (-.f32 (.f32 cosTheta cosTheta) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 cosTheta cosTheta))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 cosTheta cosTheta) 1) alpha) alpha))))
(/.f32 (fma.f32 cosTheta cosTheta -1) (.f32 (PI.f32) (.f32 (log.f32 (.f32 cosTheta cosTheta)) (+.f32 1 (.f32 alpha (*.f32 alpha (fma.f32 cosTheta cosTheta -1)))))))
(/.f32 (fma.f32 cosTheta cosTheta -1) (.f32 (PI.f32) (.f32 (.f32 2 (log.f32 cosTheta)) (fma.f32 alpha (.f32 alpha (fma.f32 cosTheta cosTheta -1)) 1))))
(/.f32 (fma.f32 cosTheta cosTheta -1) (.f32 (PI.f32) (.f32 (.f32 (fma.f32 (.f32 alpha alpha) (fma.f32 cosTheta cosTheta -1) 1) 2) (log.f32 cosTheta))))
(/.f32 (/.f32 (fma.f32 cosTheta cosTheta -1) (fma.f32 (.f32 alpha alpha) (fma.f32 cosTheta cosTheta -1) 1)) (.f32 (log.f32 cosTheta) (*.f32 (PI.f32) 2)))

Symmetry

(abs cosTheta)

(abs alpha)

Compiler

Compiled 214 to 96 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0s

Operation ival-sub, time spent: 709.0ms, 36.0% of total-time

Operation ival-log, time spent: 559.0ms, 28.0% of total-time

Operation ival-mult, time spent: 380.0ms, 19.0% of total-time

Operation ival-add, time spent: 222.0ms, 11.0% of total-time

Operation ival-div, time spent: 34.0ms, 2.0% of total-time

Operation const, time spent: 33.0ms, 2.0% of total-time

Operation ival-pi, time spent: 25.0ms, 1.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 66 to 40 computations (39.4% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))
▶	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (fma.f32 alpha alpha -1) cosTheta))))
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

Status

Accuracy

Program

▶

98.4%

(/.f32 (fma.f32 alpha alpha -1) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))))

▶

98.4%

(/.f32 (/.f32 (fma.f32 alpha alpha -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (+.f32 1 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha -1) cosTheta))))

▶

98.5%

(/.f32 (-.f32 (*.f32 alpha alpha) 1) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 1 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

Compiler

Compiled 73 to 48 computations (34.2% saved)

localize3.7s (16.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	6.3%	(PI.f32)
✓	6.3%	(PI.f32)
✓	6.3%	(PI.f32)

Compiler

Compiled 252 to 109 computations (56.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.5s

Operation ival-log, time spent: 988.0ms, 39.0% of total-time

Operation ival-sub, time spent: 487.0ms, 19.0% of total-time

Operation ival-mult, time spent: 425.0ms, 17.0% of total-time

Operation ival-fma, time spent: 354.0ms, 14.0% of total-time

Operation ival-add, time spent: 149.0ms, 6.0% of total-time

Operation ival-div, time spent: 79.0ms, 3.0% of total-time

Operation const, time spent: 52.0ms, 2.0% of total-time

Operation ival-pi, time spent: 10.0ms, 0.0% of total-time

series0.0ms (0%)

Counts: 3 → 0

rewrite217.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`log1p-expm1-u`
737×	`expm1-log1p-u`
647×	`prod-diff`
461×	`log-prod`
282×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
1	24	9
2	234	9
3	2380	9

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

Inputs
(PI.f32)
(PI.f32)
(PI.f32)

Outputs
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 2 (.f32 1/2 (PI.f32)))
(.f32 1/3 (.f32 3 (PI.f32)))
(.f32 3 (.f32 1/3 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 2 (.f32 1/2 (PI.f32)))
(.f32 1/3 (.f32 3 (PI.f32)))
(.f32 3 (.f32 1/3 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 2 (.f32 1/2 (PI.f32)))
(.f32 1/3 (.f32 3 (PI.f32)))
(.f32 3 (.f32 1/3 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)

simplify98.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

827×	`log-prod`
506×	`associate-+l+`
489×	`associate-+r+`
257×	`unswap-sqr`
223×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2403
1	359	2283
2	1415	2235
3	6903	2235

Stop Event

1×	node limit

Counts

189 → 85

Calls

Call 1

Inputs
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 2 (.f32 1/2 (PI.f32)))
(.f32 1/3 (.f32 3 (PI.f32)))
(.f32 3 (.f32 1/3 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 2 (.f32 1/2 (PI.f32)))
(.f32 1/3 (.f32 3 (PI.f32)))
(.f32 3 (.f32 1/3 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 2 (.f32 1/2 (PI.f32)))
(.f32 1/3 (.f32 3 (PI.f32)))
(.f32 3 (.f32 1/3 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)

Outputs
(+.f32 (PI.f32) 0)
(PI.f32)
(+.f32 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(+.f32 0 (PI.f32))
(PI.f32)
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(PI.f32)
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(PI.f32)
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) 1)
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32)))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log1p.f32 (*.f32 (expm1.f32 (PI.f32)) (+.f32 -1 (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log1p.f32 (neg.f32 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(PI.f32)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(PI.f32)
(*.f32 1 (PI.f32))
(PI.f32)
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(PI.f32)
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(PI.f32)
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(PI.f32)
(.f32 2 (.f32 1/2 (PI.f32)))
(PI.f32)
(.f32 1/3 (.f32 3 (PI.f32)))
(PI.f32)
(.f32 3 (.f32 1/3 (PI.f32)))
(PI.f32)
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(PI.f32)
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(PI.f32)
(*.f32 (log.f32 (E.f32)) (PI.f32))
(PI.f32)
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(PI.f32)
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(PI.f32)
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)))
(*.f32 (pow.f32 (PI.f32) 1/6) (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5/2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 5/2))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(PI.f32)
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(PI.f32)
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) -1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (+.f32 1 (*.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (PI.f32) 2))
(/.f32 (*.f32 (+.f32 (PI.f32) 2) (PI.f32)) (+.f32 (PI.f32) 2))
(/.f32 (+.f32 (PI.f32) 2) (/.f32 (+.f32 (PI.f32) 2) (PI.f32)))
(pow.f32 (PI.f32) 1)
(PI.f32)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(PI.f32)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(PI.f32)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(PI.f32)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(PI.f32)
(fabs.f32 (PI.f32))
(PI.f32)
(log.f32 (exp.f32 (PI.f32)))
(PI.f32)
(cbrt.f32 (pow.f32 (PI.f32) 3))
(PI.f32)
(expm1.f32 (log1p.f32 (PI.f32)))
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(PI.f32)
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(PI.f32)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)
(+.f32 (PI.f32) 0)
(PI.f32)
(+.f32 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(+.f32 0 (PI.f32))
(PI.f32)
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(PI.f32)
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(PI.f32)
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) 1)
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32)))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log1p.f32 (*.f32 (expm1.f32 (PI.f32)) (+.f32 -1 (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log1p.f32 (neg.f32 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(PI.f32)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(PI.f32)
(*.f32 1 (PI.f32))
(PI.f32)
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(PI.f32)
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(PI.f32)
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(PI.f32)
(.f32 2 (.f32 1/2 (PI.f32)))
(PI.f32)
(.f32 1/3 (.f32 3 (PI.f32)))
(PI.f32)
(.f32 3 (.f32 1/3 (PI.f32)))
(PI.f32)
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(PI.f32)
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(PI.f32)
(*.f32 (log.f32 (E.f32)) (PI.f32))
(PI.f32)
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(PI.f32)
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(PI.f32)
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)))
(*.f32 (pow.f32 (PI.f32) 1/6) (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5/2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 5/2))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(PI.f32)
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(PI.f32)
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) -1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (+.f32 1 (*.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (PI.f32) 2))
(/.f32 (*.f32 (+.f32 (PI.f32) 2) (PI.f32)) (+.f32 (PI.f32) 2))
(/.f32 (+.f32 (PI.f32) 2) (/.f32 (+.f32 (PI.f32) 2) (PI.f32)))
(pow.f32 (PI.f32) 1)
(PI.f32)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(PI.f32)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(PI.f32)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(PI.f32)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(PI.f32)
(fabs.f32 (PI.f32))
(PI.f32)
(log.f32 (exp.f32 (PI.f32)))
(PI.f32)
(cbrt.f32 (pow.f32 (PI.f32) 3))
(PI.f32)
(expm1.f32 (log1p.f32 (PI.f32)))
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(PI.f32)
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(PI.f32)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)
(+.f32 (PI.f32) 0)
(PI.f32)
(+.f32 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(+.f32 0 (PI.f32))
(PI.f32)
(+.f32 (.f32 2 (.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(PI.f32)
(+.f32 (.f32 1/3 (PI.f32)) (.f32 2 (*.f32 1/3 (PI.f32))))
(PI.f32)
(+.f32 (.f32 1/2 (PI.f32)) (.f32 1/2 (PI.f32)))
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) 1)
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32)))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log1p.f32 (*.f32 (expm1.f32 (PI.f32)) (+.f32 -1 (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log1p.f32 (neg.f32 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(PI.f32)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(PI.f32)
(*.f32 1 (PI.f32))
(PI.f32)
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(PI.f32)
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(PI.f32)
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(PI.f32)
(.f32 2 (.f32 1/2 (PI.f32)))
(PI.f32)
(.f32 1/3 (.f32 3 (PI.f32)))
(PI.f32)
(.f32 3 (.f32 1/3 (PI.f32)))
(PI.f32)
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(PI.f32)
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(.f32 (pow.f32 (PI.f32) 1/4) (.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(PI.f32)
(*.f32 (log.f32 (E.f32)) (PI.f32))
(PI.f32)
(.f32 (.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(.f32 (pow.f32 (PI.f32) 1/6) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(PI.f32)
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(PI.f32)
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)))
(*.f32 (pow.f32 (PI.f32) 1/6) (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5/2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 5/2))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(PI.f32)
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(PI.f32)
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) -1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (+.f32 1 (*.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (PI.f32) 2))
(/.f32 (*.f32 (+.f32 (PI.f32) 2) (PI.f32)) (+.f32 (PI.f32) 2))
(/.f32 (+.f32 (PI.f32) 2) (/.f32 (+.f32 (PI.f32) 2) (PI.f32)))
(pow.f32 (PI.f32) 1)
(PI.f32)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(PI.f32)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(PI.f32)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(PI.f32)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(PI.f32)
(fabs.f32 (PI.f32))
(PI.f32)
(log.f32 (exp.f32 (PI.f32)))
(PI.f32)
(cbrt.f32 (pow.f32 (PI.f32) 3))
(PI.f32)
(expm1.f32 (log1p.f32 (PI.f32)))
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(PI.f32)
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(PI.f32)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)

eval112.0ms (0.5%)

Compiler: Compiled 7665 to 4160 computations (45.7% saved)

prune62.0ms (0.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	250	5	255
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	251	7	258

Accuracy

99.6%

Counts

258 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (log.f32 (E.f32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))))
▶	98.1%	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (log.f32 (E.f32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (*.f32 (fma.f32 alpha alpha -1) cosTheta))))
✓	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (fma.f32 alpha alpha -1) cosTheta))))
▶	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (-.f32 (+.f32 (PI.f32) 1) 1) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
▶	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (.f32 (log.f32 (E.f32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (.f32 alpha alpha) 1) cosTheta) cosTheta))))
▶	96.1%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8))) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (.f32 alpha alpha) 1) cosTheta) cosTheta))))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

Compiler

Compiled 342 to 230 computations (32.7% saved)

localize8.0s (35.3%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	6.3%	(PI.f32)
	6.3%	(PI.f32)
✓	6.3%	(E.f32)
	6.3%	(PI.f32)
✓	6.3%	(E.f32)
	6.3%	(PI.f32)
	6.3%	(PI.f32)
✓	6.3%	(E.f32)

Compiler

Compiled 547 to 226 computations (58.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.6s

Operation ival-mult, time spent: 1.6s, 28.0% of total-time

Operation ival-log, time spent: 838.0ms, 15.0% of total-time

Operation ival-sub, time spent: 749.0ms, 13.0% of total-time

Operation ival-add, time spent: 654.0ms, 12.0% of total-time

Operation ival-e, time spent: 634.0ms, 11.0% of total-time

Operation ival-cbrt, time spent: 418.0ms, 7.0% of total-time

Operation ival-fma, time spent: 373.0ms, 7.0% of total-time

Operation ival-pow, time spent: 156.0ms, 3.0% of total-time

Operation ival-div, time spent: 120.0ms, 2.0% of total-time

Operation const, time spent: 100.0ms, 2.0% of total-time

Operation ival-pi, time spent: 10.0ms, 0.0% of total-time

series0.0ms (0%)

Counts: 3 → 0

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`log1p-expm1-u`
601×	`expm1-log1p-u`
438×	`prod-diff`
355×	`pow-unpow`
345×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
1	25	9
2	223	9
3	2057	9

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

Inputs
(E.f32)
(E.f32)
(E.f32)

Outputs
(+.f32 (E.f32) 0)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(+.f32 (+.f32 (E.f32) 1) -1)
(+.f32 0 (E.f32))
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(-.f32 (+.f32 (E.f32) 1) 1)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(*.f32 1 (E.f32))
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(.f32 1/3 (.f32 3 (E.f32)))
(.f32 2 (.f32 1/2 (E.f32)))
(.f32 3 (.f32 1/3 (E.f32)))
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(*.f32 (exp.f32 4/9) (pow.f32 (exp.f32 2/3) 5/6))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (pow.f32 (E.f32) 3/4))))
(.f32 (.f32 1/3 (E.f32)) 3)
(.f32 (.f32 (E.f32) 2) 1/2)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(.f32 (.f32 3 (E.f32)) 1/3)
(*.f32 (cbrt.f32 (exp.f32 8/3)) (exp.f32 1/9))
(*.f32 (cbrt.f32 (exp.f32 5/2)) (exp.f32 1/6))
(*.f32 (pow.f32 (E.f32) 3/4) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 5/3)) (exp.f32 1/6))
(*.f32 (/.f32 (E.f32) 2) 2)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(pow.f32 (E.f32) 1)
(pow.f32 (exp.f32 1/3) 3)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(pow.f32 (exp.f32 3) 1/3)
(pow.f32 (exp.f32 1/2) 2)
(pow.f32 (exp.f32 1/9) 9)
(pow.f32 (exp.f32 1/6) 6)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(pow.f32 (exp.f32 9) 1/9)
(pow.f32 (exp.f32 4) 1/4)
(pow.f32 (exp.f32 1/4) 4)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(log.f32 (exp.f32 (E.f32)))
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(exp.f32 1)
(log1p.f32 (expm1.f32 (E.f32)))
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (E.f32) 1)) (cbrt.f32 (+.f32 (E.f32) 1))) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)
(+.f32 (E.f32) 0)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(+.f32 (+.f32 (E.f32) 1) -1)
(+.f32 0 (E.f32))
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(-.f32 (+.f32 (E.f32) 1) 1)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(*.f32 1 (E.f32))
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(.f32 1/3 (.f32 3 (E.f32)))
(.f32 2 (.f32 1/2 (E.f32)))
(.f32 3 (.f32 1/3 (E.f32)))
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(*.f32 (exp.f32 4/9) (pow.f32 (exp.f32 2/3) 5/6))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (pow.f32 (E.f32) 3/4))))
(.f32 (.f32 1/3 (E.f32)) 3)
(.f32 (.f32 (E.f32) 2) 1/2)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(.f32 (.f32 3 (E.f32)) 1/3)
(*.f32 (cbrt.f32 (exp.f32 8/3)) (exp.f32 1/9))
(*.f32 (cbrt.f32 (exp.f32 5/2)) (exp.f32 1/6))
(*.f32 (pow.f32 (E.f32) 3/4) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 5/3)) (exp.f32 1/6))
(*.f32 (/.f32 (E.f32) 2) 2)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(pow.f32 (E.f32) 1)
(pow.f32 (exp.f32 1/3) 3)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(pow.f32 (exp.f32 3) 1/3)
(pow.f32 (exp.f32 1/2) 2)
(pow.f32 (exp.f32 1/9) 9)
(pow.f32 (exp.f32 1/6) 6)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(pow.f32 (exp.f32 9) 1/9)
(pow.f32 (exp.f32 4) 1/4)
(pow.f32 (exp.f32 1/4) 4)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(log.f32 (exp.f32 (E.f32)))
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(exp.f32 1)
(log1p.f32 (expm1.f32 (E.f32)))
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (E.f32) 1)) (cbrt.f32 (+.f32 (E.f32) 1))) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)
(+.f32 (E.f32) 0)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(+.f32 (+.f32 (E.f32) 1) -1)
(+.f32 0 (E.f32))
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(-.f32 (+.f32 (E.f32) 1) 1)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(*.f32 1 (E.f32))
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(.f32 1/3 (.f32 3 (E.f32)))
(.f32 2 (.f32 1/2 (E.f32)))
(.f32 3 (.f32 1/3 (E.f32)))
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(*.f32 (exp.f32 4/9) (pow.f32 (exp.f32 2/3) 5/6))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (pow.f32 (E.f32) 3/4))))
(.f32 (.f32 1/3 (E.f32)) 3)
(.f32 (.f32 (E.f32) 2) 1/2)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(.f32 (.f32 3 (E.f32)) 1/3)
(*.f32 (cbrt.f32 (exp.f32 8/3)) (exp.f32 1/9))
(*.f32 (cbrt.f32 (exp.f32 5/2)) (exp.f32 1/6))
(*.f32 (pow.f32 (E.f32) 3/4) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 5/3)) (exp.f32 1/6))
(*.f32 (/.f32 (E.f32) 2) 2)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(pow.f32 (E.f32) 1)
(pow.f32 (exp.f32 1/3) 3)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(pow.f32 (exp.f32 3) 1/3)
(pow.f32 (exp.f32 1/2) 2)
(pow.f32 (exp.f32 1/9) 9)
(pow.f32 (exp.f32 1/6) 6)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(pow.f32 (exp.f32 9) 1/9)
(pow.f32 (exp.f32 4) 1/4)
(pow.f32 (exp.f32 1/4) 4)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(log.f32 (exp.f32 (E.f32)))
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(exp.f32 1)
(log1p.f32 (expm1.f32 (E.f32)))
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (E.f32) 1)) (cbrt.f32 (+.f32 (E.f32) 1))) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

695×	`distribute-lft-in`
670×	`distribute-rgt-in`
489×	`associate-+l+`
470×	`associate-+r+`
340×	`distribute-lft-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	163	12884903757
1	329	1917
2	1254	1917

Stop Event

1×	node limit

Counts

201 → 82

Calls

Call 1

Inputs
(+.f32 (E.f32) 0)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(+.f32 (+.f32 (E.f32) 1) -1)
(+.f32 0 (E.f32))
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(-.f32 (+.f32 (E.f32) 1) 1)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(*.f32 1 (E.f32))
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(.f32 1/3 (.f32 3 (E.f32)))
(.f32 2 (.f32 1/2 (E.f32)))
(.f32 3 (.f32 1/3 (E.f32)))
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(*.f32 (exp.f32 4/9) (pow.f32 (exp.f32 2/3) 5/6))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (pow.f32 (E.f32) 3/4))))
(.f32 (.f32 1/3 (E.f32)) 3)
(.f32 (.f32 (E.f32) 2) 1/2)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(.f32 (.f32 3 (E.f32)) 1/3)
(*.f32 (cbrt.f32 (exp.f32 8/3)) (exp.f32 1/9))
(*.f32 (cbrt.f32 (exp.f32 5/2)) (exp.f32 1/6))
(*.f32 (pow.f32 (E.f32) 3/4) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 5/3)) (exp.f32 1/6))
(*.f32 (/.f32 (E.f32) 2) 2)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(pow.f32 (E.f32) 1)
(pow.f32 (exp.f32 1/3) 3)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(pow.f32 (exp.f32 3) 1/3)
(pow.f32 (exp.f32 1/2) 2)
(pow.f32 (exp.f32 1/9) 9)
(pow.f32 (exp.f32 1/6) 6)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(pow.f32 (exp.f32 9) 1/9)
(pow.f32 (exp.f32 4) 1/4)
(pow.f32 (exp.f32 1/4) 4)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(log.f32 (exp.f32 (E.f32)))
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(exp.f32 1)
(log1p.f32 (expm1.f32 (E.f32)))
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (E.f32) 1)) (cbrt.f32 (+.f32 (E.f32) 1))) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)
(+.f32 (E.f32) 0)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(+.f32 (+.f32 (E.f32) 1) -1)
(+.f32 0 (E.f32))
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(-.f32 (+.f32 (E.f32) 1) 1)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(*.f32 1 (E.f32))
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(.f32 1/3 (.f32 3 (E.f32)))
(.f32 2 (.f32 1/2 (E.f32)))
(.f32 3 (.f32 1/3 (E.f32)))
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(*.f32 (exp.f32 4/9) (pow.f32 (exp.f32 2/3) 5/6))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (pow.f32 (E.f32) 3/4))))
(.f32 (.f32 1/3 (E.f32)) 3)
(.f32 (.f32 (E.f32) 2) 1/2)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(.f32 (.f32 3 (E.f32)) 1/3)
(*.f32 (cbrt.f32 (exp.f32 8/3)) (exp.f32 1/9))
(*.f32 (cbrt.f32 (exp.f32 5/2)) (exp.f32 1/6))
(*.f32 (pow.f32 (E.f32) 3/4) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 5/3)) (exp.f32 1/6))
(*.f32 (/.f32 (E.f32) 2) 2)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(pow.f32 (E.f32) 1)
(pow.f32 (exp.f32 1/3) 3)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(pow.f32 (exp.f32 3) 1/3)
(pow.f32 (exp.f32 1/2) 2)
(pow.f32 (exp.f32 1/9) 9)
(pow.f32 (exp.f32 1/6) 6)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(pow.f32 (exp.f32 9) 1/9)
(pow.f32 (exp.f32 4) 1/4)
(pow.f32 (exp.f32 1/4) 4)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(log.f32 (exp.f32 (E.f32)))
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(exp.f32 1)
(log1p.f32 (expm1.f32 (E.f32)))
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (E.f32) 1)) (cbrt.f32 (+.f32 (E.f32) 1))) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)
(+.f32 (E.f32) 0)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(+.f32 (+.f32 (E.f32) 1) -1)
(+.f32 0 (E.f32))
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(-.f32 (+.f32 (E.f32) 1) 1)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(*.f32 1 (E.f32))
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(.f32 1/3 (.f32 3 (E.f32)))
(.f32 2 (.f32 1/2 (E.f32)))
(.f32 3 (.f32 1/3 (E.f32)))
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(*.f32 (exp.f32 4/9) (pow.f32 (exp.f32 2/3) 5/6))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (pow.f32 (E.f32) 3/4))))
(.f32 (.f32 1/3 (E.f32)) 3)
(.f32 (.f32 (E.f32) 2) 1/2)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(.f32 (.f32 3 (E.f32)) 1/3)
(*.f32 (cbrt.f32 (exp.f32 8/3)) (exp.f32 1/9))
(*.f32 (cbrt.f32 (exp.f32 5/2)) (exp.f32 1/6))
(*.f32 (pow.f32 (E.f32) 3/4) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (sqrt.f32 (exp.f32 5/3)) (exp.f32 1/6))
(*.f32 (/.f32 (E.f32) 2) 2)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(pow.f32 (E.f32) 1)
(pow.f32 (exp.f32 1/3) 3)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(pow.f32 (exp.f32 3) 1/3)
(pow.f32 (exp.f32 1/2) 2)
(pow.f32 (exp.f32 1/9) 9)
(pow.f32 (exp.f32 1/6) 6)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(pow.f32 (exp.f32 9) 1/9)
(pow.f32 (exp.f32 4) 1/4)
(pow.f32 (exp.f32 1/4) 4)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(log.f32 (exp.f32 (E.f32)))
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(exp.f32 1)
(log1p.f32 (expm1.f32 (E.f32)))
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (E.f32) 1)) (cbrt.f32 (+.f32 (E.f32) 1))) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)

Outputs
(+.f32 (E.f32) 0)
(E.f32)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(E.f32)
(+.f32 (+.f32 (E.f32) 1) -1)
(E.f32)
(+.f32 0 (E.f32))
(E.f32)
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(E.f32)
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(E.f32)
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(E.f32)
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(E.f32)
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(E.f32)
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(E.f32)
(-.f32 (+.f32 (E.f32) 1) 1)
(E.f32)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32)))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log1p.f32 (*.f32 (expm1.f32 (E.f32)) (+.f32 -1 (expm1.f32 (E.f32))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (E.f32)) 2))) (log1p.f32 (neg.f32 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(E.f32)
(*.f32 1 (E.f32))
(E.f32)
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(E.f32)
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(E.f32)
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(E.f32)
(.f32 1/3 (.f32 3 (E.f32)))
(E.f32)
(.f32 2 (.f32 1/2 (E.f32)))
(E.f32)
(.f32 3 (.f32 1/3 (E.f32)))
(E.f32)
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(E.f32)
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(E.f32)
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(E.f32)
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(E.f32)
(*.f32 (exp.f32 4/9) (pow.f32 (exp.f32 2/3) 5/6))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (pow.f32 (E.f32) 3/4))))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(.f32 (.f32 1/3 (E.f32)) 3)
(E.f32)
(.f32 (.f32 (E.f32) 2) 1/2)
(E.f32)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(E.f32)
(.f32 (.f32 3 (E.f32)) 1/3)
(E.f32)
(*.f32 (cbrt.f32 (exp.f32 8/3)) (exp.f32 1/9))
(*.f32 (exp.f32 1/9) (cbrt.f32 (exp.f32 8/3)))
(*.f32 (cbrt.f32 (exp.f32 5/2)) (exp.f32 1/6))
(*.f32 (exp.f32 1/6) (cbrt.f32 (exp.f32 5/2)))
(*.f32 (pow.f32 (E.f32) 3/4) (exp.f32 1/4))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (sqrt.f32 (exp.f32 5/3)) (exp.f32 1/6))
(*.f32 (exp.f32 1/6) (sqrt.f32 (exp.f32 5/3)))
(*.f32 (/.f32 (E.f32) 2) 2)
(E.f32)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(E.f32)
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(E.f32)
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 (E.f32) 1) 3) -1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 (E.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (E.f32) 1) 3)) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 (E.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (E.f32) 1) 3)) (+.f32 (E.f32) (+.f32 2 (pow.f32 (+.f32 (E.f32) 1) 2))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(/.f32 (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) -1) (+.f32 (E.f32) 2))
(/.f32 (*.f32 (+.f32 (E.f32) 2) (E.f32)) (+.f32 (E.f32) 2))
(pow.f32 (E.f32) 1)
(E.f32)
(pow.f32 (exp.f32 1/3) 3)
(E.f32)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(sqrt.f32 (exp.f32 2))
(pow.f32 (exp.f32 3) 1/3)
(cbrt.f32 (exp.f32 3))
(pow.f32 (exp.f32 1/2) 2)
(E.f32)
(pow.f32 (exp.f32 1/9) 9)
(pow.f32 (exp.f32 1/6) 6)
(E.f32)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(*.f32 (pow.f32 (exp.f32 3/2) 1/3) (pow.f32 (exp.f32 3/2) 1/3))
(*.f32 (cbrt.f32 (exp.f32 3/2)) (cbrt.f32 (exp.f32 3/2)))
(pow.f32 (exp.f32 9) 1/9)
(*.f32 (pow.f32 (exp.f32 9) 1/18) (pow.f32 (exp.f32 9) 1/18))
(pow.f32 (exp.f32 4) 1/4)
(pow.f32 (exp.f32 1/4) 4)
(E.f32)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(E.f32)
(log.f32 (exp.f32 (E.f32)))
(E.f32)
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(E.f32)
(exp.f32 1)
(E.f32)
(log1p.f32 (expm1.f32 (E.f32)))
(E.f32)
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(E.f32)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(E.f32)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (E.f32) 1)) (cbrt.f32 (+.f32 (E.f32) 1))) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(E.f32)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)
(+.f32 (E.f32) 0)
(E.f32)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(E.f32)
(+.f32 (+.f32 (E.f32) 1) -1)
(E.f32)
(+.f32 0 (E.f32))
(E.f32)
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(E.f32)
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(E.f32)
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(E.f32)
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(E.f32)
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(E.f32)
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(E.f32)
(-.f32 (+.f32 (E.f32) 1) 1)
(E.f32)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32)))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log1p.f32 (*.f32 (expm1.f32 (E.f32)) (+.f32 -1 (expm1.f32 (E.f32))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (E.f32)) 2))) (log1p.f32 (neg.f32 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(E.f32)
(*.f32 1 (E.f32))
(E.f32)
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(E.f32)
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(E.f32)
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(E.f32)
(.f32 1/3 (.f32 3 (E.f32)))
(E.f32)
(.f32 2 (.f32 1/2 (E.f32)))
(E.f32)
(.f32 3 (.f32 1/3 (E.f32)))
(E.f32)
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(E.f32)
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(E.f32)
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(E.f32)
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(E.f32)
(*.f32 (exp.f32 4/9) (pow.f32 (exp.f32 2/3) 5/6))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (pow.f32 (E.f32) 3/4))))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(.f32 (.f32 1/3 (E.f32)) 3)
(E.f32)
(.f32 (.f32 (E.f32) 2) 1/2)
(E.f32)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(E.f32)
(.f32 (.f32 3 (E.f32)) 1/3)
(E.f32)
(*.f32 (cbrt.f32 (exp.f32 8/3)) (exp.f32 1/9))
(*.f32 (exp.f32 1/9) (cbrt.f32 (exp.f32 8/3)))
(*.f32 (cbrt.f32 (exp.f32 5/2)) (exp.f32 1/6))
(*.f32 (exp.f32 1/6) (cbrt.f32 (exp.f32 5/2)))
(*.f32 (pow.f32 (E.f32) 3/4) (exp.f32 1/4))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (sqrt.f32 (exp.f32 5/3)) (exp.f32 1/6))
(*.f32 (exp.f32 1/6) (sqrt.f32 (exp.f32 5/3)))
(*.f32 (/.f32 (E.f32) 2) 2)
(E.f32)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(E.f32)
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(E.f32)
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 (E.f32) 1) 3) -1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 (E.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (E.f32) 1) 3)) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 (E.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (E.f32) 1) 3)) (+.f32 (E.f32) (+.f32 2 (pow.f32 (+.f32 (E.f32) 1) 2))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(/.f32 (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) -1) (+.f32 (E.f32) 2))
(/.f32 (*.f32 (+.f32 (E.f32) 2) (E.f32)) (+.f32 (E.f32) 2))
(pow.f32 (E.f32) 1)
(E.f32)
(pow.f32 (exp.f32 1/3) 3)
(E.f32)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(sqrt.f32 (exp.f32 2))
(pow.f32 (exp.f32 3) 1/3)
(cbrt.f32 (exp.f32 3))
(pow.f32 (exp.f32 1/2) 2)
(E.f32)
(pow.f32 (exp.f32 1/9) 9)
(pow.f32 (exp.f32 1/6) 6)
(E.f32)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(*.f32 (pow.f32 (exp.f32 3/2) 1/3) (pow.f32 (exp.f32 3/2) 1/3))
(*.f32 (cbrt.f32 (exp.f32 3/2)) (cbrt.f32 (exp.f32 3/2)))
(pow.f32 (exp.f32 9) 1/9)
(*.f32 (pow.f32 (exp.f32 9) 1/18) (pow.f32 (exp.f32 9) 1/18))
(pow.f32 (exp.f32 4) 1/4)
(pow.f32 (exp.f32 1/4) 4)
(E.f32)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(E.f32)
(log.f32 (exp.f32 (E.f32)))
(E.f32)
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(E.f32)
(exp.f32 1)
(E.f32)
(log1p.f32 (expm1.f32 (E.f32)))
(E.f32)
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(E.f32)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(E.f32)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (E.f32) 1)) (cbrt.f32 (+.f32 (E.f32) 1))) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(E.f32)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)
(+.f32 (E.f32) 0)
(E.f32)
(+.f32 (E.f32) (log.f32 (pow.f32 1 (E.f32))))
(E.f32)
(+.f32 (+.f32 (E.f32) 1) -1)
(E.f32)
(+.f32 0 (E.f32))
(E.f32)
(+.f32 (.f32 2 (.f32 1/3 (E.f32))) (*.f32 1/3 (E.f32)))
(E.f32)
(+.f32 (.f32 1/3 (E.f32)) (.f32 2 (*.f32 1/3 (E.f32))))
(E.f32)
(+.f32 (*.f32 1/3 (E.f32)) (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))))
(E.f32)
(+.f32 (.f32 1/2 (E.f32)) (.f32 1/2 (E.f32)))
(E.f32)
(+.f32 (log.f32 (pow.f32 1 (E.f32))) (E.f32))
(E.f32)
(+.f32 (log.f32 (pow.f32 (exp.f32 2/3) (E.f32))) (*.f32 1/3 (E.f32)))
(E.f32)
(-.f32 (+.f32 (E.f32) 1) 1)
(E.f32)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (E.f32)) 2) (expm1.f32 (E.f32)))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (E.f32)) 3)) (log1p.f32 (*.f32 (expm1.f32 (E.f32)) (+.f32 -1 (expm1.f32 (E.f32))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (E.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (E.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (E.f32)) 2))) (log1p.f32 (neg.f32 (expm1.f32 (E.f32)))))
(*.f32 (E.f32) 1)
(E.f32)
(*.f32 1 (E.f32))
(E.f32)
(*.f32 (exp.f32 1/3) (exp.f32 2/3))
(E.f32)
(*.f32 (exp.f32 2/3) (exp.f32 1/3))
(E.f32)
(*.f32 (exp.f32 1/2) (exp.f32 1/2))
(E.f32)
(.f32 1/3 (.f32 3 (E.f32)))
(E.f32)
(.f32 2 (.f32 1/2 (E.f32)))
(E.f32)
(.f32 3 (.f32 1/3 (E.f32)))
(E.f32)
(.f32 (exp.f32 2/9) (.f32 (exp.f32 1/9) (exp.f32 2/3)))
(E.f32)
(*.f32 (exp.f32 1/9) (log.f32 (exp.f32 (exp.f32 8/9))))
(E.f32)
(*.f32 (exp.f32 1/6) (exp.f32 5/6))
(E.f32)
(*.f32 (exp.f32 1/6) (log.f32 (exp.f32 (exp.f32 5/6))))
(E.f32)
(*.f32 (exp.f32 4/9) (pow.f32 (exp.f32 2/3) 5/6))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (exp.f32 1/4) (log.f32 (exp.f32 (pow.f32 (E.f32) 3/4))))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(.f32 (.f32 1/3 (E.f32)) 3)
(E.f32)
(.f32 (.f32 (E.f32) 2) 1/2)
(E.f32)
(*.f32 (exp.f32 5/6) (exp.f32 1/6))
(E.f32)
(.f32 (.f32 3 (E.f32)) 1/3)
(E.f32)
(*.f32 (cbrt.f32 (exp.f32 8/3)) (exp.f32 1/9))
(*.f32 (exp.f32 1/9) (cbrt.f32 (exp.f32 8/3)))
(*.f32 (cbrt.f32 (exp.f32 5/2)) (exp.f32 1/6))
(*.f32 (exp.f32 1/6) (cbrt.f32 (exp.f32 5/2)))
(*.f32 (pow.f32 (E.f32) 3/4) (exp.f32 1/4))
(*.f32 (exp.f32 1/4) (pow.f32 (E.f32) 3/4))
(*.f32 (sqrt.f32 (exp.f32 3/2)) (exp.f32 1/4))
(*.f32 (exp.f32 1/4) (sqrt.f32 (exp.f32 3/2)))
(*.f32 (sqrt.f32 (exp.f32 5/3)) (exp.f32 1/6))
(*.f32 (exp.f32 1/6) (sqrt.f32 (exp.f32 5/3)))
(*.f32 (/.f32 (E.f32) 2) 2)
(E.f32)
(.f32 (.f32 (exp.f32 1/3) (exp.f32 4/9)) (exp.f32 2/9))
(E.f32)
(*.f32 (exp.f32 8/9) (exp.f32 1/9))
(E.f32)
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 1 (+.f32 (E.f32) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 (E.f32) 1) 3) -1) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 (E.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (E.f32) 1) 3)) (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) (+.f32 (E.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (E.f32) 1) 3)) (+.f32 (E.f32) (+.f32 2 (pow.f32 (+.f32 (E.f32) 1) 2))))
(/.f32 (-.f32 (pow.f32 (+.f32 (E.f32) 1) 2) 1) (+.f32 (+.f32 (E.f32) 1) 1))
(/.f32 (+.f32 (pow.f32 (+.f32 (E.f32) 1) 2) -1) (+.f32 (E.f32) 2))
(/.f32 (*.f32 (+.f32 (E.f32) 2) (E.f32)) (+.f32 (E.f32) 2))
(pow.f32 (E.f32) 1)
(E.f32)
(pow.f32 (exp.f32 1/3) 3)
(E.f32)
(pow.f32 (exp.f32 2/3) 3/2)
(pow.f32 (exp.f32 2) 1/2)
(sqrt.f32 (exp.f32 2))
(pow.f32 (exp.f32 3) 1/3)
(cbrt.f32 (exp.f32 3))
(pow.f32 (exp.f32 1/2) 2)
(E.f32)
(pow.f32 (exp.f32 1/9) 9)
(pow.f32 (exp.f32 1/6) 6)
(E.f32)
(pow.f32 (exp.f32 6) 1/6)
(pow.f32 (exp.f32 3/2) 2/3)
(*.f32 (pow.f32 (exp.f32 3/2) 1/3) (pow.f32 (exp.f32 3/2) 1/3))
(*.f32 (cbrt.f32 (exp.f32 3/2)) (cbrt.f32 (exp.f32 3/2)))
(pow.f32 (exp.f32 9) 1/9)
(*.f32 (pow.f32 (exp.f32 9) 1/18) (pow.f32 (exp.f32 9) 1/18))
(pow.f32 (exp.f32 4) 1/4)
(pow.f32 (exp.f32 1/4) 4)
(E.f32)
(sqrt.f32 (exp.f32 2))
(fabs.f32 (E.f32))
(E.f32)
(log.f32 (exp.f32 (E.f32)))
(E.f32)
(cbrt.f32 (exp.f32 3))
(expm1.f32 (log1p.f32 (E.f32)))
(E.f32)
(exp.f32 1)
(E.f32)
(log1p.f32 (expm1.f32 (E.f32)))
(E.f32)
(fma.f32 1 (+.f32 (E.f32) 1) -1)
(E.f32)
(fma.f32 (+.f32 (E.f32) 1) 1 -1)
(E.f32)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (E.f32) 1)) (cbrt.f32 (+.f32 (E.f32) 1))) (cbrt.f32 (+.f32 (E.f32) 1)) -1)
(E.f32)
(fma.f32 (hypot.f32 1 (exp.f32 1/2)) (hypot.f32 1 (exp.f32 1/2)) -1)

eval1.6s (7.1%)

Compiler: Compiled 98721 to 53175 computations (46.1% saved)

prune223.0ms (1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	2795	1	2796
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	2797	6	2803

Accuracy

99.6%

Counts

2803 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (log.f32 (E.f32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (*.f32 (fma.f32 alpha alpha -1) cosTheta))))
✓	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (fma.f32 alpha alpha -1) cosTheta))))
✓	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (-.f32 (+.f32 (PI.f32) 1) 1) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
▶	96.1%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (.f32 (log.f32 (E.f32)) (.f32 (log.f32 (E.f32)) (PI.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
✓	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (.f32 (log.f32 (E.f32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (.f32 alpha alpha) 1) cosTheta) cosTheta))))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

Compiler

Compiled 168 to 110 computations (34.5% saved)

localize2.3s (10.1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	6.3%	(PI.f32)
	6.3%	(E.f32)

Compiler

Compiled 126 to 44 computations (65.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.8s

Operation ival-log, time spent: 622.0ms, 35.0% of total-time

Operation ival-mult, time spent: 503.0ms, 28.0% of total-time

Operation ival-e, time spent: 308.0ms, 17.0% of total-time

Operation ival-sub, time spent: 204.0ms, 12.0% of total-time

Operation ival-add, time spent: 86.0ms, 5.0% of total-time

Operation const, time spent: 17.0ms, 1.0% of total-time

Operation ival-div, time spent: 17.0ms, 1.0% of total-time

Operation ival-pi, time spent: 10.0ms, 1.0% of total-time

eval118.0ms (0.5%)

Compiler: Compiled 9066 to 4705 computations (48.1% saved)

prune53.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	249	6	255

Accuracy

99.6%

Counts

255 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (log.f32 (E.f32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (*.f32 (fma.f32 alpha alpha -1) cosTheta))))
✓	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (fma.f32 alpha alpha -1) cosTheta))))
✓	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (-.f32 (+.f32 (PI.f32) 1) 1) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
✓	96.1%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (.f32 (log.f32 (E.f32)) (.f32 (log.f32 (E.f32)) (PI.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
✓	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (.f32 (log.f32 (E.f32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (.f32 alpha alpha) 1) cosTheta) cosTheta))))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

Compiler

Compiled 403 to 228 computations (43.4% saved)

regimes23.0ms (0.1%)

Accuracy

Total -1.0b remaining (-206.4%)

Threshold costs -1b (-206.4%)

Counts

9 → 1

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (-.f32 (+.f32 (PI.f32) 1) 1) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (.f32 (log.f32 (E.f32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (.f32 alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (fma.f32 alpha alpha -1) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (.f32 (log.f32 (E.f32)) (.f32 (log.f32 (E.f32)) (PI.f32))) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (log.f32 (E.f32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (*.f32 (fma.f32 alpha alpha -1) cosTheta))))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (log.f32 (E.f32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8))) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (.f32 alpha alpha) 1) cosTheta) cosTheta))))

Outputs
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

Calls

4 calls:

7.0ms	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
5.0ms	(*.f32 alpha alpha)
5.0ms	alpha
5.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta`
98.5%	1	`alpha`
98.5%	1	`(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))`
98.5%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 37 to 23 computations (37.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative`
3×	`1-exp`
3×	`+-commutative`
2×	`unsub-neg`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	97
1	31	97
2	35	97
3	38	97
4	41	97
5	44	97

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

Outputs

(/.f32 (-.f32 (*.f32 alpha alpha) 1) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 1 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

(/.f32 (-.f32 (*.f32 alpha alpha) 1) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 1 (*.f32 cosTheta (*.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta)))))

(/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 1 (*.f32 cosTheta (*.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta)))))

Compiler

Compiled 26 to 16 computations (38.5% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess31.0ms (0.1%)

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 312 to 192 computations (38.5% saved)

analyze61.0ms (0.3%)

sample2.9s (12.9%)

preprocess2.9s (12.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize3.7s (16.5%)

series0.0ms (0%)

rewrite217.0ms (1%)

simplify98.0ms (0.4%)

eval112.0ms (0.5%)

prune62.0ms (0.3%)

localize8.0s (35.3%)

series0.0ms (0%)

rewrite97.0ms (0.4%)

simplify79.0ms (0.3%)

eval1.6s (7.1%)

prune223.0ms (1%)

localize2.3s (10.1%)

eval118.0ms (0.5%)

prune53.0ms (0.2%)

regimes23.0ms (0.1%)

simplify4.0ms (0%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess31.0ms (0.1%)

Profiling