Details

analyze34.0ms (0.6%)

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)

sample765.0ms (12.9%)

Results

737.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.1%)

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

prune1.0ms (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

12.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	12.3b	(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
✓	12.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series411.0ms (6.9%)

Counts

1 → 24

Calls

1 calls:

411.0ms

(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)))

simplify67.0ms (1.1%)

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 (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	8	39

Error

0.2b

Counts

39 → 8

Alt Table

Status	Error	Program
	12.3b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	12.3b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	35.6b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	4.6b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	12.7b	(.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)))))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	13.0b	(.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)))))

Compiler

Compiled 659 to 478 computations (27.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series504.0ms (8.5%)

Counts

3 → 48

Calls

3 calls:

439.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
36.0ms	(cbrt.f64 (*.f64 2 a))
29.0ms	(cbrt.f64 g)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64`
24×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`

Counts

3 → 72

Calls

3 calls:

4.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-def_binary64`
622×	`associate-/l/_binary64`
522×	`associate-/r*_binary64`
330×	`associate-/r/_binary64`
329×	`associate-*l/_binary64`

Counts

120 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1821
1	222	1755
2	499	1694
3	1488	1558
4	4423	1558
5	5046	1558

prune84.0ms (1.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	123	8	131
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	126	13	139

Error

0.0b

Counts

139 → 13

Alt Table

Status	Error	Program
	31.8b	(/.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (.f64 2 a)))
✓	12.3b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	4.6b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	31.9b	(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 g)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a))))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	1.5b	(/.f64 (/.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))
	12.3b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	35.6b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
▶	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.6b	(.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))

Compiler

Compiled 2188 to 1402 computations (35.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
✓	0.3b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.6b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))

series496.0ms (8.4%)

Counts

2 → 36

Calls

2 calls:

438.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
58.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
28×	`times-frac_binary64`
23×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64`

Counts

2 → 85

Calls

2 calls:

8.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
3.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))

simplify130.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-neg_binary64`
514×	`fma-def_binary64`
459×	`associate-/l*_binary64`
363×	`div-sub_binary64`
267×	`associate-/r*_binary64`

Counts

121 → 143

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	117	1945
1	227	1766
2	468	1730
3	948	1549
4	1857	1523
5	3998	1516
6	4587	1516
7	4940	1516
8	4904	1516

prune119.0ms (2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	177	6	183
Fresh	3	8	11
Picked	0	1	1
Done	0	1	1
Total	180	16	196

Error

0.0b

Counts

196 → 16

Alt Table

Status	Error	Program
	31.8b	(/.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (.f64 2 a)))
	1.3b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -2)))
✓	12.3b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.1b	(*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (/.f64 1 (cbrt.f64 a)))
	1.6b	(.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))
	1.6b	(.f64 (.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (.f64 2 a)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (.f64 2 a)))))
	1.5b	(.f64 (.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 2 a)))))
	1.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a))))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	1.5b	(/.f64 (/.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))
	12.3b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.0b	(.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	4.6b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	1.2b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (/.f64 1 (cbrt.f64 (.f64 2 a))))
✓	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))

Compiler

Compiled 3218 to 2344 computations (27.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	0.4b	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
	0.6b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))

series858.0ms (14.5%)

Counts

2 → 48

Calls

2 calls:

438.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
420.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`times-frac_binary64`
108×	`*-un-lft-identity_binary64`
108×	`add-sqr-sqrt_binary64`
108×	`add-cube-cbrt_binary64`
94×	`cbrt-prod_binary64`

Counts

2 → 186

Calls

2 calls:

8.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
3.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

simplify282.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

498×	`fma-neg_binary64`
382×	`div-sub_binary64`
382×	`fma-def_binary64`
380×	`exp-sum_binary64`
306×	`associate-/r/_binary64`

Counts

234 → 285

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	195	5363
1	342	4967
2	736	4831
3	1684	4488
4	2851	4388
5	4393	4388
6	4273	4384
7	4792	4310
8	4872	4310
9	5006	4310

prune409.0ms (6.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	321	4	325
Fresh	5	8	13
Picked	0	1	1
Done	1	1	2
Total	327	14	341

Error

0.0b

Counts

341 → 14

Alt Table

Status	Error	Program
	1.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a))))) (cbrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	1.6b	(/.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 g))) (cbrt.f64 (/.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 g))))) (cbrt.f64 (/.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 g))))
	12.3b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.9b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (/.f64 1 (/.f64 1 (cbrt.f64 g))))
	1.3b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -2)))
✓	12.3b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(.f64 (.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 2 a)))))
	0.9b	(/.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (/.f64 1 (cbrt.f64 g)))
	1.5b	(/.f64 (/.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	4.6b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	1.2b	(/.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 a) (cbrt.f64 g)))
✓	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.6b	(.f64 (.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (.f64 2 a)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (.f64 2 a)))))

Compiler

Compiled 6101 to 4105 computations (32.7% saved)

regimes1.4s (22.8%)

Accuracy

Total 0.8b remaining (90.1%)

Threshold costs 0.8b (90.1%)

Counts

206 → 1

Compiler

Compiled 20734 to 16070 computations (22.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	14	11
2	13	11

end209.0ms (3.5%)

Compiler: Compiled 257 to 203 computations (21% saved)

Details

analyze34.0ms (0.6%)

sample765.0ms (12.9%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series411.0ms (6.9%)

rewrite3.0ms (0.1%)

simplify67.0ms (1.1%)

prune31.0ms (0.5%)

localize6.0ms (0.1%)

series504.0ms (8.5%)

rewrite9.0ms (0.2%)

simplify81.0ms (1.4%)

prune84.0ms (1.4%)

localize7.0ms (0.1%)

series496.0ms (8.4%)

rewrite16.0ms (0.3%)

simplify130.0ms (2.2%)

prune119.0ms (2%)

localize9.0ms (0.2%)

series858.0ms (14.5%)

rewrite30.0ms (0.5%)

simplify282.0ms (4.8%)

prune409.0ms (6.9%)

regimes1.4s (22.8%)

simplify2.0ms (0%)

end209.0ms (3.5%)

Profiling