Details

analyze259.0ms (1.2%)

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 (10.9%)

Results

2.3s

8256×

body

128

valid

Compiler

Compiled 147 to 112 computations (23.8% saved)

simplify87.0ms (0.4%)

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

0.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.4b	(*.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)

localize78.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series1.1s (5.1%)

Counts

4 → 56

Calls

4 calls:

1.1s	(*.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)))
32.0ms	(/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))
3.0ms	(/.f32 (neg.f32 (PI.f32)) s)
2.0ms	(/.f32 (PI.f32) s)

rewrite78.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`*-un-lft-identity_binary32`
78×	`add-sqr-sqrt_binary32`
67×	`times-frac_binary32`
53×	`add-cube-cbrt_binary32`
19×	`associate-/l*_binary32`

Counts

4 → 186

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)))
9.0ms	(/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))
3.0ms	(/.f32 (neg.f32 (PI.f32)) s)
2.0ms	(/.f32 (PI.f32) s)

simplify170.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

765×	`times-frac_binary32`
545×	`associate-/l*_binary32`
336×	`fma-def_binary32`
158×	`*-commutative_binary32`
130×	`distribute-rgt-in_binary32`

Counts

242 → 266

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	662	10979
1	1984	10453
2	5253	10453

prune400.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	259	7	266
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	260	7	267

Error

0.0b

Counts

267 → 7

Alt Table

Status	Error	Program
	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)))))
	0.5b	(+.f32 (.f32 (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.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 (-.f32 (/.f32 1 (sqrt.f32 (+.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)))
	0.8b	(.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 (log.f32 (sqrt.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 (sqrt.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)))
	0.6b	(+.f32 (.f32 (neg.f32 s) (.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.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 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.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)))))))))))
	0.6b	(.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))))
	0.9b	(.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))))

Compiler

Compiled 15060 to 8444 computations (43.9% saved)

localize83.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log.f32 (sqrt.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)))
✓	0.3b	(*.f32 (log.f32 (sqrt.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 (PI.f32) s)
	0.3b	(/.f32 (neg.f32 (PI.f32)) s)

series2.0s (9.1%)

Counts

2 → 48

Calls

2 calls:

1.1s

(*.f32 (log.f32 (sqrt.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))

885.0ms

(log.f32 (sqrt.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)))

rewrite50.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary32`
12×	`*-un-lft-identity_binary32`
11×	`log-prod_binary32`
10×	`associate-r_binary32`
8×	`sqrt-prod_binary32`

Counts

2 → 57

Calls

2 calls:

39.0ms

(log.f32 (sqrt.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)))

5.0ms

(*.f32 (log.f32 (sqrt.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))

simplify197.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-def_binary32`
728×	`associate-/l*_binary32`
259×	`*-commutative_binary32`
230×	`+-commutative_binary32`
188×	`associate-+r+_binary32`

Counts

105 → 157

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	821	13720
1	2855	13133
2	5645	13133

prune1.8s (8.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	521	5	526
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	522	11	533

Error

0.0b

Counts

533 → 11

Alt Table

Status	Error	Program
	0.8b	(.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 (log.f32 (sqrt.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 (+.f32 (log.f32 (sqrt.f32 (sqrt.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)))) (log.f32 (sqrt.f32 (sqrt.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 (.f32 (log.f32 (sqrt.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 (sqrt.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)))
	0.5b	(+.f32 (.f32 (log.f32 (sqrt.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 (*.f32 (log.f32 (sqrt.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))) (sqrt.f32 s)) (neg.f32 (sqrt.f32 s))))
	0.5b	(+.f32 (.f32 (log.f32 (sqrt.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 (-.f32 (log.f32 (sqrt.f32 (+.f32 -1 (pow.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))) 3)))) (log.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))) (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))) (+.f32 1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (neg.f32 s)))
	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)))))
	0.5b	(+.f32 (.f32 (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.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 (-.f32 (/.f32 1 (sqrt.f32 (+.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)))
	0.6b	(+.f32 (.f32 (log.f32 (sqrt.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 (.f32 (cbrt.f32 (.f32 (log.f32 (sqrt.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))) (cbrt.f32 (.f32 (log.f32 (sqrt.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)))) (cbrt.f32 (.f32 (log.f32 (sqrt.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 (.f32 (log.f32 (sqrt.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 (+.f32 (*.f32 2 (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (neg.f32 s)))
	0.6b	(+.f32 (.f32 (neg.f32 s) (.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.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 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.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)))))))))))
	0.6b	(.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))))

Compiler

Compiled 56179 to 32116 computations (42.8% saved)

localize98.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 (log.f32 (sqrt.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 (+.f32 (log.f32 (sqrt.f32 (sqrt.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)))) (log.f32 (sqrt.f32 (sqrt.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 (PI.f32) s)
	0.3b	(/.f32 (neg.f32 (PI.f32)) s)

series2.0s (9.2%)

Counts

1 → 24

Calls

1 calls:

2.0s

(*.f32 (+.f32 (log.f32 (sqrt.f32 (sqrt.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)))) (log.f32 (sqrt.f32 (sqrt.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))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`log-pow_binary32`
32×	`associate-l_binary32`
25×	`pow1_binary32`
24×	`sqrt-pow1_binary32`
15×	`*-un-lft-identity_binary32`

Counts

1 → 59

Calls

1 calls:

13.0ms

(*.f32 (+.f32 (log.f32 (sqrt.f32 (sqrt.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)))) (log.f32 (sqrt.f32 (sqrt.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))

simplify142.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

838×	`times-frac_binary32`
512×	`associate-/l*_binary32`
461×	`fma-def_binary32`
186×	`*-commutative_binary32`
121×	`+-commutative_binary32`

Counts

83 → 113

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	534	8382
1	1880	8079
2	5054	8079

prune2.1s (9.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	514	1	515
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	515	11	526

Error

0.0b

Counts

526 → 11

Alt Table

Status	Error	Program
	1.2b	(+.f32 (.f32 (log.f32 (sqrt.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 (sqrt.f32 (log.f32 (sqrt.f32 (sqrt.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 (neg.f32 s) (.f32 2 (sqrt.f32 (log.f32 (sqrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))))))))))))
	0.8b	(.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 (log.f32 (sqrt.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 (+.f32 (log.f32 (sqrt.f32 (sqrt.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)))) (log.f32 (sqrt.f32 (sqrt.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 (.f32 (log.f32 (sqrt.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 (sqrt.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)))
	0.5b	(+.f32 (.f32 (log.f32 (sqrt.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 (*.f32 (log.f32 (sqrt.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))) (sqrt.f32 s)) (neg.f32 (sqrt.f32 s))))
	0.5b	(+.f32 (.f32 (log.f32 (sqrt.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 (-.f32 (log.f32 (sqrt.f32 (+.f32 -1 (pow.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))) 3)))) (log.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))) (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))) (+.f32 1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (neg.f32 s)))
	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)))))
	0.5b	(+.f32 (.f32 (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.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 (-.f32 (/.f32 1 (sqrt.f32 (+.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 (.f32 (log.f32 (sqrt.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 (+.f32 (*.f32 2 (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (neg.f32 s)))
	0.6b	(+.f32 (.f32 (neg.f32 s) (.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.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 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.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)))))))))))
	0.6b	(.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))))

Compiler

Compiled 59087 to 34003 computations (42.5% saved)

localize156.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))))))))
	0.3b	(/.f32 (PI.f32) s)
	0.3b	(/.f32 (neg.f32 (PI.f32)) s)
✓	0.4b	(log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))

series3.4s (15.3%)

Counts

2 → 48

Calls

2 calls:

1.7s

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

1.6s

(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))))))))

rewrite176.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`log-prod_binary32`
32×	`cbrt-prod_binary32`
27×	`*-un-lft-identity_binary32`
22×	`associate-+l+_binary32`
20×	`sqrt-prod_binary32`

Counts

2 → 77

Calls

2 calls:

93.0ms

(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))))))))

67.0ms

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

simplify219.0ms (1%)

Algorithm

1×	egg-herbie

Rules

934×	`fma-def_binary32`
576×	`times-frac_binary32`
263×	`+-commutative_binary32`
225×	`*-commutative_binary32`
196×	`associate-+r+_binary32`

Counts

125 → 184

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	769	15499
1	2598	15141
2	4968	15141

prune2.8s (13%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	486	4	490
Fresh	3	5	8
Picked	1	0	1
Done	0	2	2
Total	490	11	501

Error

0.0b

Counts

501 → 11

Alt Table

Status	Error	Program
	0.4b	(+.f32 (.f32 (log.f32 (sqrt.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 (exp.f32 (*.f32 3 (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.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))))))))))))) (neg.f32 s)))
	0.5b	(+.f32 (.f32 (log.f32 (sqrt.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 (-.f32 (log.f32 (sqrt.f32 (+.f32 -1 (pow.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))) 3)))) (log.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))) (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))) (+.f32 1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (neg.f32 s)))
	0.5b	(+.f32 (.f32 (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.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 (-.f32 (/.f32 1 (sqrt.f32 (+.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)))
	0.5b	(+.f32 (.f32 (log.f32 (sqrt.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 (+.f32 (*.f32 2 (+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (log.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (neg.f32 s)))
	1.2b	(+.f32 (.f32 (log.f32 (sqrt.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 (sqrt.f32 (log.f32 (sqrt.f32 (sqrt.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 (neg.f32 s) (.f32 2 (sqrt.f32 (log.f32 (sqrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1)))))))))))))
	0.8b	(.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 (log.f32 (sqrt.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 (+.f32 (log.f32 (sqrt.f32 (sqrt.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)))) (log.f32 (sqrt.f32 (sqrt.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)))
	1.2b	(+.f32 (.f32 (log.f32 (sqrt.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 (.f32 (sqrt.f32 (.f32 3 (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.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)))))))))))) (sqrt.f32 (*.f32 3 (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.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))))))))))))) (neg.f32 s)))
	0.6b	(+.f32 (.f32 (neg.f32 s) (.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.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 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.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)))))))))))
	0.5b	(+.f32 (.f32 (log.f32 (sqrt.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 (+.f32 (*.f32 2 (+.f32 (log.f32 (cbrt.f32 (fabs.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.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))))))))))) (log.f32 (cbrt.f32 (sqrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.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))))))))))))) (log.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) 1)) (/.f32 (-.f32 1 u) (+.f32 (exp.f32 (/.f32 (PI.f32) s)) 1))))))))) (neg.f32 s)))
✓	0.4b	(+.f32 (.f32 (log.f32 (sqrt.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 (sqrt.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 63431 to 37084 computations (41.5% saved)

regimes1.6s (7.1%)

Accuracy

Total 0.3b remaining (84%)

Threshold costs 0.3b (84%)

Counts

249 → 1

Compiler

Compiled 46776 to 32678 computations (30.1% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary32`
14×	`*-commutative_binary32`
10×	`sub-neg_binary32`
10×	`neg-sub0_binary32`
10×	`neg-mul-1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	112
1	62	110
2	87	110
3	104	110
4	114	110
5	117	110
6	116	110

end497.0ms (2.3%)

Compiler: Compiled 1128 to 771 computations (31.6% saved)

Details

analyze259.0ms (1.2%)

sample2.4s (10.9%)

simplify87.0ms (0.4%)

prune4.0ms (0%)

localize78.0ms (0.4%)

series1.1s (5.1%)

rewrite78.0ms (0.4%)

simplify170.0ms (0.8%)

prune400.0ms (1.8%)

localize83.0ms (0.4%)

series2.0s (9.1%)

rewrite50.0ms (0.2%)

simplify197.0ms (0.9%)

prune1.8s (8.3%)

localize98.0ms (0.5%)

series2.0s (9.2%)

rewrite28.0ms (0.1%)

simplify142.0ms (0.6%)

prune2.1s (9.5%)

localize156.0ms (0.7%)

series3.4s (15.3%)

rewrite176.0ms (0.8%)

simplify219.0ms (1%)

prune2.8s (13%)

regimes1.6s (7.1%)

simplify5.0ms (0%)

end497.0ms (2.3%)

Profiling