Details

analyze39.0ms (0.8%)

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)

sample863.0ms (17%)

Results

835.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify8.0ms (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

15.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	15.8b	(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
✓	15.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series446.0ms (8.8%)

Counts

1 → 24

Calls

1 calls:

446.0ms

(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)))

simplify69.0ms (1.4%)

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

prune32.0ms (0.6%)

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
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	15.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	35.5b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	5.3b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	41.6b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
	16.1b	(.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)))
	16.5b	(.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)))))
	15.7b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))

Compiler

Compiled 693 to 504 computations (27.3% saved)

localize7.0ms (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 (*.f64 2 a))
✓	0.7b	(cbrt.f64 g)

series548.0ms (10.8%)

Counts

3 → 48

Calls

3 calls:

481.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
37.0ms	(cbrt.f64 (*.f64 2 a))
30.0ms	(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:

3.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

simplify92.0ms (1.8%)

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

prune94.0ms (1.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	119	12	131
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	123	17	140

Error

0.0b

Counts

140 → 17

Alt Table

Status	Error	Program
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	32.9b	(.f64 (/.f64 (sqrt.f64 (cbrt.f64 g)) 1) (/.f64 (sqrt.f64 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
✓	15.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	32.4b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	1.6b	(.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)))))
	1.1b	(/.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	41.6b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
	32.4b	(/.f64 (cbrt.f64 g) (.f64 (sqrt.f64 (cbrt.f64 (.f64 2 a))) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))))
	0.9b	(/.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	16.1b	(.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)))))
	1.5b	(/.f64 (cbrt.f64 g) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))
	1.0b	(/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (*.f64 2 a)))))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	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)))
	33.0b	(/.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (sqrt.f64 g))))
▶	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	15.7b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))

Compiler

Compiled 2328 to 1510 computations (35.1% 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 (*.f64 2 a))
	0.7b	(cbrt.f64 g)

series542.0ms (10.7%)

Counts

2 → 36

Calls

2 calls:

479.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
63.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))

rewrite15.0ms (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)))

simplify144.0ms (2.8%)

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

prune142.0ms (2.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	177	6	183
Fresh	3	12	15
Picked	1	0	1
Done	0	1	1
Total	181	19	200

Error

0.0b

Counts

200 → 19

Alt Table

Status	Error	Program
	41.6b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
	32.4b	(/.f64 (cbrt.f64 g) (.f64 (sqrt.f64 (cbrt.f64 (.f64 2 a))) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))))
	0.9b	(/.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	16.1b	(.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)))))
	1.5b	(/.f64 (cbrt.f64 g) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))
	32.4b	(.f64 (.f64 (cbrt.f64 g) (sqrt.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (.f64 2 a)))))
	1.0b	(/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (*.f64 2 a)))))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
▶	0.8b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
	33.0b	(/.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (sqrt.f64 g))))
	1.2b	(*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (/.f64 1 (cbrt.f64 a)))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	15.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.6b	(.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 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	0.9b	(.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (/.f64 1 (cbrt.f64 (.f64 2 a)))) (/.f64 1 (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)))))
	15.7b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.1b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 1 (cbrt.f64 (.f64 2 a)))))

Compiler

Compiled 3337 to 2437 computations (27% 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 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
	0.6b	(cbrt.f64 (*.f64 2 a))
	0.7b	(cbrt.f64 g)

series473.0ms (9.3%)

Counts

1 → 24

Calls

1 calls:

473.0ms

(*.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 g))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
16×	`associate-l_binary64`
16×	`times-frac_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

1 → 46

Calls

1 calls:

9.0ms

(*.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 g))

simplify98.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

787×	`div-sub_binary64`
507×	`fma-def_binary64`
477×	`fma-neg_binary64`
334×	`associate-/l*_binary64`
288×	`associate-l_binary64`

Counts

70 → 84

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	104	1279
1	196	1174
2	435	1142
3	861	989
4	1559	959
5	3765	952
6	4237	952
7	5102	952

prune129.0ms (2.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	2	15	17
Picked	0	1	1
Done	1	0	1
Total	184	18	202

Error

0.0b

Counts

202 → 18

Alt Table

Status	Error	Program
	32.4b	(/.f64 (cbrt.f64 g) (.f64 (sqrt.f64 (cbrt.f64 (.f64 2 a))) (sqrt.f64 (cbrt.f64 (*.f64 2 a)))))
	0.9b	(/.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	16.1b	(.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)))))
	1.5b	(/.f64 (cbrt.f64 g) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))
	32.4b	(.f64 (.f64 (cbrt.f64 g) (sqrt.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (.f64 2 a)))))
	1.0b	(/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (*.f64 2 a)))))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
✓	0.8b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
	1.1b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 1 (cbrt.f64 (.f64 2 a)))))
	15.7b	(cbrt.f64 (.f64 (/.f64 (.f64 (.f64 1 1) 1) (.f64 2 a)) g))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.6b	(.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 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	0.9b	(.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (/.f64 1 (cbrt.f64 (.f64 2 a)))) (/.f64 1 (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)))))
	1.2b	(.f64 (/.f64 1 (cbrt.f64 2)) (.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 g)))
	33.0b	(/.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (sqrt.f64 g))))
	15.7b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))

Compiler

Compiled 3021 to 2205 computations (27% saved)

regimes1.1s (20.9%)

Accuracy

Total 0.8b remaining (91.2%)

Threshold costs 0.8b (91.2%)

Counts

171 → 1

Compiler

Compiled 15318 to 12194 computations (20.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	15	14
2	13	14

end230.0ms (4.5%)

Compiler: Compiled 340 to 263 computations (22.6% saved)

Details

analyze39.0ms (0.8%)

sample863.0ms (17%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series446.0ms (8.8%)

rewrite3.0ms (0.1%)

simplify69.0ms (1.4%)

prune32.0ms (0.6%)

localize7.0ms (0.1%)

series548.0ms (10.8%)

rewrite9.0ms (0.2%)

simplify92.0ms (1.8%)

prune94.0ms (1.8%)

localize7.0ms (0.1%)

series542.0ms (10.7%)

rewrite15.0ms (0.3%)

simplify144.0ms (2.8%)

prune142.0ms (2.8%)

localize7.0ms (0.1%)

series473.0ms (9.3%)

rewrite12.0ms (0.2%)

simplify98.0ms (1.9%)

prune129.0ms (2.5%)

regimes1.1s (20.9%)

simplify2.0ms (0%)

end230.0ms (4.5%)

Profiling