Details

analyze255.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	1.6%	98.4%	0
0%	1.6%	98.4%	1
0%	1.6%	98.4%	2
0.4%	1.2%	98.4%	3
0.6%	1%	98.4%	4
0.9%	0.7%	98.4%	5
1%	0.5%	98.4%	6
1.2%	0.4%	98.4%	7
1.3%	0.3%	98.4%	8
1.4%	0.2%	98.4%	9
1.4%	0.1%	98.4%	10
1.5%	0.1%	98.4%	11
1.5%	0.1%	98.4%	12
1.5%	0%	98.4%	13
1.5%	0%	98.4%	14

Compiler

Compiled 54 to 41 computations (24.1% saved)

sample2.4s (6.2%)

Results

2.3s

8256×

body

128

valid

Compiler

Compiled 147 to 112 computations (23.8% saved)

simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1145×	`fma-def_binary32`
518×	`unswap-sqr_binary32`
445×	`fma-neg_binary32`
420×	`times-frac_binary32`
354×	`associate-l_binary32`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	59
1	42	59
2	72	59
3	120	51
4	179	48
5	319	46
6	505	46
7	788	46
8	1249	46
9	2584	46
10	4419	46
11	4832	46
12	4827	46

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.3b	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))

Compiler

Compiled 127 to 93 computations (26.8% saved)

localize88.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)
✓	0.3b	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
✓	0.4b	(/.f32 (PI.f32) s)
✓	0.4b	(/.f32 (neg.f32 (PI.f32)) s)

series1.1s (2.9%)

Counts

4 → 60

Calls

4 calls:

960.0ms	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
150.0ms	(+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)
8.0ms	(/.f32 (neg.f32 (PI.f32)) s)
2.0ms	(/.f32 (PI.f32) s)

rewrite122.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

207×	`*-un-lft-identity_binary32`
129×	`times-frac_binary32`
71×	`add-sqr-sqrt_binary32`
57×	`distribute-lft-out_binary32`
57×	`add-cube-cbrt_binary32`

Counts

4 → 194

Calls

4 calls:

48.0ms	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))
43.0ms	(+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)
4.0ms	(/.f32 (neg.f32 (PI.f32)) s)
2.0ms	(/.f32 (PI.f32) s)

simplify191.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

708×	`associate-/l*_binary32`
454×	`fma-def_binary32`
194×	`+-commutative_binary32`
185×	`*-commutative_binary32`
152×	`associate-+r+_binary32`

Counts

254 → 281

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	764	13367
1	2458	12878
2	5047	12878

prune451.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	273	8	281
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	8	282

Error

0.0b

Counts

282 → 8

Alt Table

Status	Error	Program
	0.9b	(.f32 (.f32 (neg.f32 s) (*.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
	0.4b	(+.f32 (.f32 (neg.f32 s) (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))))
	0.8b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (neg.f32 (cbrt.f32 s)) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
	0.6b	(.f32 (sqrt.f32 s) (.f32 (neg.f32 (sqrt.f32 s)) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
	0.4b	(.f32 (neg.f32 s) (log.f32 (.f32 (+.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) 1) (-.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) 1))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (cbrt.f32 (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))))
	0.4b	(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)) (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (neg.f32 s)) (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (neg.f32 s)))
▶	0.3b	(.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 1 (-.f32 (.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (*.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1)))

Compiler

Compiled 18960 to 10562 computations (44.3% saved)

localize93.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 1 (-.f32 (.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (*.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1)))
✓	0.3b	(fma.f32 (/.f32 1 (-.f32 (.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1)
	0.4b	(/.f32 (PI.f32) s)
	0.4b	(/.f32 (neg.f32 (PI.f32)) s)

series8.2s (21.3%)

Counts

2 → 48

Calls

2 calls:

7.6s

(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 1 (-.f32 (*.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (*.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1)))

646.0ms

(fma.f32 (/.f32 1 (-.f32 (*.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (*.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1)

rewrite12.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-l_binary32`
10×	`add-sqr-sqrt_binary32`
8×	`*-un-lft-identity_binary32`
8×	`add-cube-cbrt_binary32`
6×	`log-prod_binary32`

Counts

2 → 45

Calls

2 calls:

5.0ms

(*.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 1 (-.f32 (*.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (*.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1)))

0.0ms

(fma.f32 (/.f32 1 (-.f32 (*.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (*.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1)

simplify398.0ms (1%)

Algorithm

1×	egg-herbie

Rules

526×	`associate-+r+_binary32`
470×	`fma-def_binary32`
288×	`associate-*r/_binary32`
259×	`associate-/r*_binary32`
255×	`associate-/l*_binary32`

Counts

93 → 136

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1588	39280
1	5032	39280

prune2.0s (5.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	459	1	460
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	460	8	468

Error

0.0b

Counts

468 → 8

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 s) (.f32 (neg.f32 (sqrt.f32 s)) (log.f32 (fma.f32 (/.f32 1 (-.f32 (.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1))))
	0.8b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (neg.f32 (cbrt.f32 s)) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
	0.9b	(.f32 (.f32 (neg.f32 s) (*.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
▶	0.4b	(+.f32 (.f32 (neg.f32 s) (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))))
	0.4b	(.f32 (neg.f32 s) (log.f32 (.f32 (+.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) 1) (-.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) 1))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (cbrt.f32 (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))))
	0.4b	(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)) (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (neg.f32 s)) (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (neg.f32 s)))
✓	0.3b	(.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 1 (-.f32 (.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (*.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1)))

Compiler

Compiled 72238 to 43021 computations (40.4% saved)

localize87.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 (neg.f32 s) (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))))
✓	0.3b	(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))
✓	0.3b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))
	0.4b	(/.f32 (PI.f32) s)

series12.0s (30.9%)

Counts

3 → 50

Calls

3 calls:

5.7s

(*.f32 (neg.f32 s) (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))))

5.6s

(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))

596.0ms

(/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))

rewrite108.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

231×	`*-un-lft-identity_binary32`
117×	`times-frac_binary32`
72×	`distribute-lft-out_binary32`
55×	`add-sqr-sqrt_binary32`
52×	`sqrt-prod_binary32`

Counts

3 → 163

Calls

3 calls:

44.0ms

(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))

31.0ms

(/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))

3.0ms

(*.f32 (neg.f32 s) (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))))

simplify555.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-def_binary32`
380×	`associate-/l*_binary32`
336×	`associate-/r*_binary32`
308×	`times-frac_binary32`
34×	`sqr-pow_binary32`

Counts

213 → 184

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2503	57019
1	5161	57019

prune1.9s (5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	387	1	388
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	388	8	396

Error

0.0b

Counts

396 → 8

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 s) (.f32 (neg.f32 (sqrt.f32 s)) (log.f32 (fma.f32 (/.f32 1 (-.f32 (.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1))))
	0.8b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (neg.f32 (cbrt.f32 s)) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
	0.9b	(.f32 (.f32 (neg.f32 s) (*.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
✓	0.4b	(+.f32 (.f32 (neg.f32 s) (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))))
✓	0.3b	(.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 1 (-.f32 (.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (*.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1)))
	0.4b	(+.f32 (.f32 (neg.f32 s) (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (.f32 (sqrt.f32 s) (*.f32 (neg.f32 (sqrt.f32 s)) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (cbrt.f32 (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))))
▶	0.4b	(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)) (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (neg.f32 s)) (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (neg.f32 s)))

Compiler

Compiled 89224 to 52015 computations (41.7% saved)

localize96.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)) (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (neg.f32 s)) (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (neg.f32 s)))
	0.4b	(/.f32 (PI.f32) s)
	0.4b	(/.f32 (neg.f32 (PI.f32)) s)
✓	0.5b	(*.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)) (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))

series4.7s (12.2%)

Counts

2 → 48

Calls

2 calls:

3.9s

(+.f32 (*.f32 (log.f32 (*.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)) (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (neg.f32 s)) (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (neg.f32 s)))

801.0ms

(*.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)) (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))

rewrite190.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`cbrt-prod_binary32`
42×	`*-un-lft-identity_binary32`
34×	`add-sqr-sqrt_binary32`
17×	`swap-sqr_binary32`
16×	`distribute-lft-out_binary32`

Counts

2 → 88

Calls

2 calls:

84.0ms

(*.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)) (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))

84.0ms

(+.f32 (*.f32 (log.f32 (*.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)) (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (neg.f32 s)) (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (neg.f32 s)))

simplify282.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-def_binary32`
830×	`times-frac_binary32`
264×	`*-commutative_binary32`
224×	`+-commutative_binary32`
173×	`associate-+r+_binary32`

Counts

136 → 179

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	812	19161
1	2823	17360
2	4966	17360

prune2.0s (5.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	501	2	503
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	502	9	511

Error

Counts

511 → 9

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 s) (.f32 (neg.f32 (sqrt.f32 s)) (log.f32 (fma.f32 (/.f32 1 (-.f32 (.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1))))
	0.8b	(.f32 (.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (neg.f32 (cbrt.f32 s)) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
	0.5b	(+.f32 (.f32 (log.f32 (.f32 (.f32 (.f32 (cbrt.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (cbrt.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (.f32 (cbrt.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (cbrt.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (.f32 (cbrt.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (cbrt.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))))) (neg.f32 s)) (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (neg.f32 s)))
	0.9b	(.f32 (.f32 (neg.f32 s) (*.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
✓	0.4b	(+.f32 (.f32 (neg.f32 s) (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))))
	0.4b	(+.f32 (.f32 (log.f32 (.f32 (.f32 (cbrt.f32 (+.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) 1)) (cbrt.f32 (+.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) 1))) (.f32 (cbrt.f32 (-.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) 1)) (cbrt.f32 (-.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) 1))))) (neg.f32 s)) (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (neg.f32 s)))
✓	0.3b	(.f32 (neg.f32 s) (log.f32 (fma.f32 (/.f32 1 (-.f32 (.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) (*.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (-.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) -1)))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (cbrt.f32 (.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))))
✓	0.4b	(+.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)) (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (neg.f32 s)) (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (neg.f32 s)))

Compiler

Compiled 56436 to 31836 computations (43.6% saved)

regimes960.0ms (2.5%)

Accuracy

Total 0.3b remaining (86.3%)

Threshold costs 0.3b (86.3%)

Counts

139 → 1

Compiler

Compiled 27840 to 18380 computations (34% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary32`
19×	`neg-sub0_binary32`
19×	`neg-mul-1_binary32`
18×	`cancel-sign-sub-inv_binary32`
18×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	114
1	45	114
2	67	114
3	88	114
4	106	114
5	113	114
6	126	114
7	140	114
8	154	114
9	164	114
10	167	114
11	163	114

end407.0ms (1.1%)

Compiler: Compiled 987 to 627 computations (36.5% saved)

Iter	Nodes	Cost
0	25	114
1	45	114
2	67	114
3	88	114
4	106	114
5	113	114
6	126	114
7	140	114
8	154	114
9	164	114
10	167	114
11	163	114

Iter	Nodes	Cost
0	25	114
1	45	114
2	67	114
3	88	114
4	106	114
5	113	114
6	126	114
7	140	114
8	154	114
9	164	114
10	167	114
11	163	114

Details

analyze255.0ms (0.7%)

sample2.4s (6.2%)

simplify73.0ms (0.2%)

prune4.0ms (0%)

localize88.0ms (0.2%)

series1.1s (2.9%)

rewrite122.0ms (0.3%)

simplify191.0ms (0.5%)

prune451.0ms (1.2%)

localize93.0ms (0.2%)

series8.2s (21.3%)

rewrite12.0ms (0%)

simplify398.0ms (1%)

prune2.0s (5.1%)

localize87.0ms (0.2%)

series12.0s (30.9%)

rewrite108.0ms (0.3%)

simplify555.0ms (1.4%)

prune1.9s (5%)

localize96.0ms (0.2%)

series4.7s (12.2%)

rewrite190.0ms (0.5%)

simplify282.0ms (0.7%)

prune2.0s (5.2%)

regimes960.0ms (2.5%)

simplify9.0ms (0%)

end407.0ms (1.1%)

Profiling

Iter	Nodes	Cost
0	25	114
1	45	114
2	67	114
3	88	114
4	106	114
5	113	114
6	126	114
7	140	114
8	154	114
9	164	114
10	167	114
11	163	114