Details

analyze22.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample555.0ms (13.1%)

Infinites

100% of outputs are infinite.

Results

513.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9
3	12	9

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	16.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series404.0ms (9.6%)

Counts

1 → 24

Calls

1 calls:

404.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 18

Calls

1 calls:

2.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

809×	`div-sub_binary64`
664×	`fma-def_binary64`
461×	`fma-neg_binary64`
390×	`times-frac_binary64`
300×	`unswap-sqr_binary64`

Counts

42 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	709
1	117	709
2	178	685
3	426	549
4	960	513
5	2276	513
6	4146	513
7	5010	513

prune31.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	30	8	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	9	39

Error

0.2b

Counts

39 → 9

Alt Table

Status	Error	Program
	4.5b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	17.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	40.6b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	16.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	17.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	16.8b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	36.3b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))

Compiler

Compiled 693 to 504 computations (27.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	0.6b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (/.f64 1/2 a))

series462.0ms (10.9%)

Counts

3 → 48

Calls

3 calls:

397.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
34.0ms	(cbrt.f64 (/.f64 1/2 a))
30.0ms	(cbrt.f64 g)

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
35×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`

Counts

3 → 80

Calls

3 calls:

8.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

simplify90.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

521×	`exp-sum_binary64`
480×	`*-commutative_binary64`
376×	`fma-neg_binary64`
371×	`associate-l_binary64`
306×	`associate-r_binary64`

Counts

128 → 116

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	1729
1	260	1725
2	655	1660
3	1644	1530
4	3907	1502
5	5154	1502

prune81.0ms (1.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	104	12	116
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	110	15	125

Error

0.0b

Counts

125 → 15

Alt Table

Status	Error	Program
	1.5b	(.f64 (cbrt.f64 g) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
✓	16.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))))) (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
▶	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	1.1b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	32.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (pow.f64 a -1/3) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a))))
	4.5b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	0.9b	(.f64 (cbrt.f64 (.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	48.5b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))) (*.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))))
	32.9b	(.f64 (sqrt.f64 (cbrt.f64 g)) (.f64 (sqrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	16.8b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))

Compiler

Compiled 2005 to 1332 computations (33.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
✓	0.5b	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
	0.6b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (/.f64 1 a))

series476.0ms (11.3%)

Counts

3 → 48

Calls

3 calls:

409.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
38.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
28.0ms	(cbrt.f64 (/.f64 1 a))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
30×	`add-sqr-sqrt_binary64`
22×	`associate-r_binary64`
22×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`

Counts

3 → 89

Calls

3 calls:

7.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
5.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
2.0ms	(cbrt.f64 (/.f64 1 a))

simplify151.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-neg_binary64`
489×	`exp-sum_binary64`
365×	`*-commutative_binary64`
212×	`associate-+r+_binary64`
204×	`fma-def_binary64`

Counts

137 → 148

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	1902
1	271	1834
2	789	1774
3	1407	1540
4	3526	1483
5	4923	1483
6	4972	1483
7	4944	1483
8	5036	1483

prune111.0ms (2.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	164	17	181

Error

0.0b

Counts

181 → 17

Alt Table

Status	Error	Program
	1.5b	(.f64 (cbrt.f64 g) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
✓	16.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))))) (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
✓	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	1.1b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	4.5b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	0.9b	(.f64 (cbrt.f64 (.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	34.0b	(.f64 (.f64 (pow.f64 (.f64 -1 g) 1/3) (.f64 (cbrt.f64 1/2) (cbrt.f64 -1))) (cbrt.f64 (/.f64 1 a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	48.5b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))) (*.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))))
	32.9b	(.f64 (sqrt.f64 (cbrt.f64 g)) (.f64 (sqrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	16.8b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	31.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 a))) (cbrt.f64 (sqrt.f64 (/.f64 1 a)))))
	1.0b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (/.f64 1 (cbrt.f64 a)))
▶	0.8b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))

Compiler

Compiled 2995 to 2160 computations (27.9% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
✓	0.4b	(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
	0.6b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 a)

series500.0ms (11.8%)

Counts

3 → 48

Calls

3 calls:

417.0ms	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
53.0ms	(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
30.0ms	(cbrt.f64 a)

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`cbrt-prod_binary64`
87×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
59×	`*-un-lft-identity_binary64`
59×	`add-cube-cbrt_binary64`

Counts

3 → 147

Calls

3 calls:

12.0ms	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
3.0ms	(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
1.0ms	(cbrt.f64 a)

simplify158.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

563×	`fma-neg_binary64`
319×	`associate-/l*_binary64`
295×	`associate-l_binary64`
250×	`associate-r_binary64`
239×	`associate-*r/_binary64`

Counts

195 → 233

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	3364
1	393	3193
2	1123	3115
3	3162	2878
4	4480	2878
5	4928	2878
6	5120	2878

prune154.0ms (3.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	248	3	251
Fresh	3	11	14
Picked	1	0	1
Done	0	2	2
Total	252	16	268

Error

0.0b

Counts

268 → 16

Alt Table

Status	Error	Program
	1.5b	(.f64 (cbrt.f64 g) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
✓	16.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 1/2) 3) a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))))) (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
✓	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	1.1b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 1/2)))))
	4.5b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	0.9b	(.f64 (cbrt.f64 (.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	34.0b	(.f64 (.f64 (pow.f64 (.f64 -1 g) 1/3) (.f64 (cbrt.f64 1/2) (cbrt.f64 -1))) (cbrt.f64 (/.f64 1 a)))
	1.1b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	48.5b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))) (*.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))))
	16.8b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	31.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 a))) (cbrt.f64 (sqrt.f64 (/.f64 1 a)))))

Compiler

Compiled 4285 to 2573 computations (40% saved)

regimes666.0ms (15.8%)

Accuracy

Total 0.8b remaining (92.2%)

Threshold costs 0.8b (92.2%)

Counts

132 → 1

Compiler

Compiled 11181 to 8580 computations (23.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	16	11
2	13	11

end196.0ms (4.6%)

Compiler: Compiled 273 to 212 computations (22.3% saved)

Details

analyze22.0ms (0.5%)

sample555.0ms (13.1%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series404.0ms (9.6%)

rewrite3.0ms (0.1%)

simplify70.0ms (1.7%)

prune31.0ms (0.7%)

localize7.0ms (0.2%)

series462.0ms (10.9%)

rewrite14.0ms (0.3%)

simplify90.0ms (2.1%)

prune81.0ms (1.9%)

localize8.0ms (0.2%)

series476.0ms (11.3%)

rewrite18.0ms (0.4%)

simplify151.0ms (3.6%)

prune111.0ms (2.6%)

localize6.0ms (0.2%)

series500.0ms (11.8%)

rewrite27.0ms (0.6%)

simplify158.0ms (3.7%)

prune154.0ms (3.6%)

regimes666.0ms (15.8%)

simplify2.0ms (0.1%)

end196.0ms (4.6%)

Profiling