Details

analyze94.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	2.1%	97.9%	0
0%	2.1%	97.9%	1
1%	1%	97.9%	2
1%	1%	97.9%	3
1.5%	0.5%	97.9%	4
1.5%	0.5%	97.9%	5
1.8%	0.3%	97.9%	6
1.8%	0.3%	97.9%	7
1.9%	0.1%	97.9%	8
1.9%	0.1%	97.9%	9
2%	0.1%	97.9%	10
2%	0.1%	97.9%	11
2%	0%	97.9%	12
2%	0%	97.9%	13
2%	0%	97.9%	14

Compiler

Compiled 50 to 36 computations (28% saved)

sample113.0ms (1.7%)

Algorithm

1×

intervals

Results

34.0ms	256×	body	128	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 87 to 63 computations (27.6% saved)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-neg_binary32`
634×	`associate-l_binary32`
530×	`associate-r_binary32`
445×	`associate-/r*_binary32`
406×	`*-commutative_binary32`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	53
1	66	43
2	237	35
3	864	32
4	2572	32
5	3890	32
6	4293	32
7	4871	32
8	4870	32

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	1.2b	(.f32 (/.f32 (/.f32 1/8 (.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))

Status

Error

Program

▶

0.2b

(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))

1.2b

(*.f32 (/.f32 (/.f32 1/8 (*.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))

Compiler

Compiled 169 to 117 computations (30.8% saved)

localize82.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
✓	0.3b	(/.f32 (neg.f32 r) (*.f32 3 s))
✓	0.3b	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
✓	0.3b	(.f32 (.f32 2 (PI.f32)) s)

series28.0ms (0.4%)

Counts

4 → 84

Calls

4 calls:

8.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
8.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
7.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))
3.0ms	(.f32 (.f32 2 (PI.f32)) s)

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-cbrt-cube_binary32`
32×	`add-exp-log_binary32`
27×	`pow1_binary32`
16×	`cbrt-unprod_binary32`
16×	`prod-exp_binary32`

Counts

4 → 105

Calls

4 calls:

6.0ms	(.f32 (.f32 2 (PI.f32)) s)
5.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
5.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
4.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))

simplify107.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

512×	`associate-/l*_binary32`
418×	`associate-l_binary32`
326×	`associate-/r*_binary32`
318×	`distribute-rgt-neg-out_binary32`
310×	`associate-r_binary32`

Counts

189 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	2248
1	442	1951
2	1885	1945
3	4571	1945
4	4935	1945

prune276.0ms (4.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	145	9	154
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	147	9	156

Error

0.1b

Counts

156 → 9

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 r))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 (.f32 2 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (sqrt.f32 (.f32 (.f32 s (.f32 (PI.f32) r)) 6)) (sqrt.f32 (.f32 (.f32 s (*.f32 (PI.f32) r)) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) s)) (cbrt.f32 (.f32 (.f32 2 (PI.f32)) s))) (cbrt.f32 (.f32 (.f32 2 (PI.f32)) s))) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	25.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (log.f32 (exp.f32 (.f32 (.f32 s (*.f32 (PI.f32) r)) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (exp.f32 (log.f32 (.f32 (.f32 s (*.f32 (PI.f32) r)) 6)))))
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 6 (.f32 s (*.f32 (PI.f32) r)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))))

Compiler

Compiled 6559 to 3818 computations (41.8% saved)

localize85.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (/.f32 (neg.f32 r) 3) s)
	0.2b	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
	0.3b	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
	0.3b	(.f32 (.f32 2 (PI.f32)) s)

series7.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(/.f32 (/.f32 (neg.f32 r) 3) s)

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

222×	`times-frac_binary32`
116×	`*-un-lft-identity_binary32`
116×	`add-sqr-sqrt_binary32`
116×	`add-cube-cbrt_binary32`
36×	`distribute-lft-neg-in_binary32`

Counts

1 → 158

Calls

1 calls:

8.0ms

(/.f32 (/.f32 (neg.f32 r) 3) s)

simplify180.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

756×	`div-sub_binary32`
455×	`neg-mul-1_binary32`
340×	`associate-/l/_binary32`
290×	`associate-/r/_binary32`
269×	`distribute-frac-neg_binary32`

Counts

182 → 220

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	3491
1	635	3398
2	1734	3326
3	3232	3326
4	4235	3326
5	4972	3326
6	4870	3326

prune769.0ms (11.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	306	7	313
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	313	9	322

Error

0.1b

Counts

322 → 9

Alt Table

Status	Error	Program
	25.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (log.f32 (exp.f32 (.f32 (.f32 s (*.f32 (PI.f32) r)) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (sqrt.f32 r) (.f32 s (*.f32 (PI.f32) 6))) (sqrt.f32 r))))
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (expm1.f32 (log1p.f32 (.f32 (.f32 s (.f32 (PI.f32) r)) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (exp.f32 (log.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 s) (cbrt.f32 s))) (cbrt.f32 s)) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (cbrt.f32 (.f32 (.f32 s (.f32 (PI.f32) r)) 6)) (cbrt.f32 (.f32 (.f32 s (.f32 (PI.f32) r)) 6))) (cbrt.f32 (.f32 (.f32 s (.f32 (PI.f32) r)) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (sqrt.f32 (.f32 (.f32 s (.f32 (PI.f32) r)) 6)) (sqrt.f32 (.f32 (.f32 s (.f32 (PI.f32) r)) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (.f32 s (PI.f32))) (sqrt.f32 r)) (sqrt.f32 r))) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 r))))

Compiler

Compiled 13747 to 7904 computations (42.5% saved)

localize90.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 s (.f32 (PI.f32) r))
✓	0.3b	(.f32 (.f32 s (*.f32 (PI.f32) r)) 6)
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
✓	0.3b	(*.f32 (PI.f32) r)

series22.0ms (0.3%)

Counts

3 → 24

Calls

3 calls:

12.0ms	(.f32 (.f32 s (*.f32 (PI.f32) r)) 6)
7.0ms	(.f32 s (.f32 (PI.f32) r))
2.0ms	(*.f32 (PI.f32) r)

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-cbrt-cube_binary32`
19×	`add-exp-log_binary32`
19×	`pow1_binary32`
10×	`cbrt-unprod_binary32`
10×	`prod-exp_binary32`

Counts

3 → 63

Calls

3 calls:

5.0ms	(.f32 (.f32 s (*.f32 (PI.f32) r)) 6)
4.0ms	(.f32 s (.f32 (PI.f32) r))
3.0ms	(*.f32 (PI.f32) r)

simplify302.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

440×	`sqr-pow_binary32`
345×	`*-commutative_binary32`
313×	`associate-*r/_binary32`
256×	`fma-def_binary32`
223×	`pow-sqr_binary32`

Counts

87 → 73

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	1056
1	183	903
2	669	903
3	1055	903
4	1439	903
5	1936	903
6	3630	903
7	4973	903

prune258.0ms (4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	102	8	110

Error

0.1b

Counts

110 → 8

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 r))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (expm1.f32 (log1p.f32 (.f32 (.f32 s (.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) r))) 6)))))
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (expm1.f32 (log1p.f32 (.f32 (.f32 s (.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) r)) (cbrt.f32 (.f32 (PI.f32) r))) (cbrt.f32 (.f32 (PI.f32) r)))) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (expm1.f32 (log1p.f32 (.f32 (.f32 s (exp.f32 (log.f32 (.f32 (PI.f32) r)))) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (exp.f32 (log.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 s) (cbrt.f32 s))) (cbrt.f32 s)) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (sqrt.f32 (.f32 (.f32 s (.f32 (PI.f32) r)) 6)) (sqrt.f32 (.f32 (.f32 s (.f32 (PI.f32) r)) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (.f32 s (PI.f32))) (sqrt.f32 r)) (sqrt.f32 r))) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))

Compiler

Compiled 4719 to 2685 computations (43.1% saved)

localize108.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
	0.3b	(*.f32 (PI.f32) r)
✓	0.4b	(.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) r)) (cbrt.f32 (.f32 (PI.f32) r))) (cbrt.f32 (*.f32 (PI.f32) r)))
✓	0.5b	(.f32 (cbrt.f32 (.f32 (PI.f32) r)) (cbrt.f32 (*.f32 (PI.f32) r)))

series337.0ms (5.2%)

Counts

2 → 24

Calls

2 calls:

320.0ms	(.f32 (cbrt.f32 (.f32 (PI.f32) r)) (cbrt.f32 (*.f32 (PI.f32) r)))
17.0ms	(.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) r)) (cbrt.f32 (.f32 (PI.f32) r))) (cbrt.f32 (*.f32 (PI.f32) r)))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`pow1_binary32`
15×	`pow1/3_binary32`
11×	`pow-prod-up_binary32`
10×	`add-sqr-sqrt_binary32`
9×	`add-exp-log_binary32`

Counts

2 → 68

Calls

2 calls:

7.0ms	(.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) r)) (cbrt.f32 (.f32 (PI.f32) r))) (cbrt.f32 (*.f32 (PI.f32) r)))
4.0ms	(.f32 (cbrt.f32 (.f32 (PI.f32) r)) (cbrt.f32 (*.f32 (PI.f32) r)))

simplify102.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

984×	`fma-def_binary32`
474×	`exp-prod_binary32`
441×	`associate-r_binary32`
436×	`*-commutative_binary32`
427×	`log-prod_binary32`

Counts

92 → 96

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	87	1176
1	174	1024
2	450	901
3	1260	799
4	2865	651
5	4366	646
6	4555	646
7	4981	646

prune590.0ms (9.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	187	3	190
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	190	8	198

Error

0.1b

Counts

198 → 8

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (exp.f32 (log.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (expm1.f32 (log1p.f32 (.f32 (.f32 s (.f32 (pow.f32 (cbrt.f32 (.f32 r (PI.f32))) 5/2) (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) r))))) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (.f32 (cbrt.f32 s) (cbrt.f32 s))) (cbrt.f32 s)) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (expm1.f32 (log1p.f32 (.f32 (.f32 s (exp.f32 (+.f32 (+.f32 (log.f32 (cbrt.f32 (.f32 (PI.f32) r))) (log.f32 (cbrt.f32 (.f32 (PI.f32) r)))) (log.f32 (cbrt.f32 (.f32 (PI.f32) r)))))) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (sqrt.f32 (.f32 (.f32 s (.f32 (PI.f32) r)) 6)) (sqrt.f32 (.f32 (.f32 s (.f32 (PI.f32) r)) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (.f32 s (PI.f32))) (sqrt.f32 r)) (sqrt.f32 r))) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 r))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (expm1.f32 (log1p.f32 (.f32 (.f32 s (pow.f32 (pow.f32 (.f32 r (PI.f32)) 3) 1/3)) 6)))))

Compiler

Compiled 9671 to 4640 computations (52% saved)

regimes854.0ms (13.2%)

Accuracy

Total 0.1b remaining (47.9%)

Threshold costs 0.1b (47.9%)

Counts

212 → 1

Compiler

Compiled 25759 to 18400 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	73
1	51	73
2	59	73
3	66	73
4	70	73
5	71	73
6	71	73

end1.0ms (0%)

Compiler: Compiled 46 to 32 computations (30.4% saved)

sample1.9s (29.9%)

Algorithm

1×

intervals

Results

1.1s	8000×	body	128	valid
214.0ms	8000×	pre	128	true

Compiler

Compiled 442 to 307 computations (30.5% saved)

Details

analyze94.0ms (1.4%)

sample113.0ms (1.7%)

simplify57.0ms (0.9%)

prune4.0ms (0.1%)

localize82.0ms (1.3%)

series28.0ms (0.4%)

rewrite25.0ms (0.4%)

simplify107.0ms (1.6%)

prune276.0ms (4.3%)

localize85.0ms (1.3%)

series7.0ms (0.1%)

rewrite25.0ms (0.4%)

simplify180.0ms (2.8%)

prune769.0ms (11.8%)

localize90.0ms (1.4%)

series22.0ms (0.3%)

rewrite15.0ms (0.2%)

simplify302.0ms (4.7%)

prune258.0ms (4%)

localize108.0ms (1.7%)

series337.0ms (5.2%)

rewrite15.0ms (0.2%)

simplify102.0ms (1.6%)

prune590.0ms (9.1%)

regimes854.0ms (13.2%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.9s (29.9%)

Profiling