Details

analyze35.0ms (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)

sample799.0ms (13.9%)

Results

770.0ms

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

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

16.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	16.5b	(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
✓	16.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series376.0ms (6.5%)

Counts

1 → 24

Calls

1 calls:

375.0ms

(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 (1.2%)

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: 6 (0.0ms)

Iter	Nodes	Cost
0	74	709
1	117	709
2	178	685
3	426	549
4	960	517
5	2276	517
6	4146	515
7	5010	515

prune34.0ms (0.6%)

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
	17.2b	(.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)))))
✓	16.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	16.6b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	16.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	36.7b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	6.7b	(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cbrt.f64 g) 2))) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))

Compiler

Compiled 656 to 478 computations (27.1% saved)

localize5.0ms (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))
✓	0.6b	(cbrt.f64 g)

series468.0ms (8.1%)

Counts

3 → 48

Calls

3 calls:

404.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
35.0ms	(cbrt.f64 (*.f64 2 a))
29.0ms	(cbrt.f64 g)

rewrite10.0ms (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)

simplify85.0ms (1.5%)

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	1775
2	499	1726
3	1488	1573
4	4423	1573
5	5046	1573

prune90.0ms (1.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	118	13	131
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	121	18	139

Error

0.0b

Counts

139 → 18

Alt Table

Status	Error	Program
	33.8b	(/.f64 (cbrt.f64 g) (pow.f64 (*.f64 2 a) 1/3))
	16.6b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
▶	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	36.6b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	32.9b	(.f64 (/.f64 (sqrt.f64 (cbrt.f64 g)) 1) (/.f64 (sqrt.f64 (cbrt.f64 g)) (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)))))
	6.7b	(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cbrt.f64 g) 2))) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	31.7b	(.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 (.f64 a 2)))) (/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 a 2)))))
	17.0b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	33.1b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
✓	16.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.2b	(.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) 1) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a))))
	1.4b	(.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	16.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))

Compiler

Compiled 2322 to 1508 computations (35.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series813.0ms (14.1%)

Counts

2 → 48

Calls

2 calls:

407.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
405.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

rewrite27.0ms (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:

7.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
3.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

simplify303.0ms (5.3%)

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 → 284

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	195	5363
1	342	4967
2	736	4847
3	1684	4490
4	2851	4474
5	4393	4474
6	4273	4428
7	4792	4354
8	4872	4354
9	5006	4354

prune221.0ms (3.8%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	319	5	324
Fresh	5	11	16
Picked	0	1	1
Done	0	1	1
Total	324	18	342

Error

0.0b

Counts

342 → 18

Alt Table

Status	Error	Program
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	1.2b	(/.f64 1 (/.f64 (/.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 (pow.f64 (cbrt.f64 g) 2))) (cbrt.f64 (cbrt.f64 g))))
	16.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	36.7b	(.f64 (/.f64 1 (sqrt.f64 (/.f64 (cbrt.f64 (.f64 a 2)) (cbrt.f64 g)))) (/.f64 1 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 g)))))
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	33.1b	(/.f64 1 (*.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 g))) (/.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 g)))))
▶	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))))
	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 1 (.f64 (.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)))))
	16.4b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 a 2) g)))
	17.0b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	33.1b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
✓	16.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	16.6b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	6.7b	(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cbrt.f64 g) 2))) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))

Compiler

Compiled 6408 to 4307 computations (32.8% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series1.1s (18.6%)

Counts

2 → 36

Calls

2 calls:

1.0s	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
41.0ms	(cbrt.f64 (/.f64 1/2 a))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
33×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`

Counts

2 → 67

Calls

2 calls:

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

simplify117.0ms (2%)

Algorithm

1×	egg-herbie

Rules

523×	`fma-def_binary64`
520×	`fma-neg_binary64`
341×	`div-sub_binary64`
324×	`*-commutative_binary64`
269×	`associate-l_binary64`

Counts

103 → 115

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	139	1588
1	242	1588
2	498	1564
3	840	1424
4	1779	1380
5	3468	1369
6	4304	1359
7	4909	1359

prune85.0ms (1.5%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	128	5	133
Fresh	7	8	15
Picked	0	1	1
Done	0	2	2
Total	135	16	151

Error

0.0b

Counts

151 → 16

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 g)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
✓	16.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	16.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	36.7b	(.f64 (/.f64 1 (sqrt.f64 (/.f64 (cbrt.f64 (.f64 a 2)) (cbrt.f64 g)))) (/.f64 1 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 g)))))
✓	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	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)))))
	17.0b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	0.9b	(.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 g)) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	32.9b	(.f64 (/.f64 (sqrt.f64 (cbrt.f64 g)) 1) (/.f64 (sqrt.f64 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
	6.7b	(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cbrt.f64 g) 2))) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))

Compiler

Compiled 2030 to 1342 computations (33.9% saved)

regimes870.0ms (15.1%)

Accuracy

Total 0.8b remaining (94.5%)

Threshold costs 0.8b (94.5%)

Counts

161 → 1

Compiler

Compiled 13824 to 10676 computations (22.8% 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

end230.0ms (4%)

Compiler: Compiled 235 to 183 computations (22.1% saved)

Details

analyze35.0ms (0.6%)

sample799.0ms (13.9%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series376.0ms (6.5%)

rewrite3.0ms (0.1%)

simplify70.0ms (1.2%)

prune34.0ms (0.6%)

localize5.0ms (0.1%)

series468.0ms (8.1%)

rewrite10.0ms (0.2%)

simplify85.0ms (1.5%)

prune90.0ms (1.6%)

localize7.0ms (0.1%)

series813.0ms (14.1%)

rewrite27.0ms (0.5%)

simplify303.0ms (5.3%)

prune221.0ms (3.8%)

localize5.0ms (0.1%)

series1.1s (18.6%)

rewrite13.0ms (0.2%)

simplify117.0ms (2%)

prune85.0ms (1.5%)

regimes870.0ms (15.1%)

simplify2.0ms (0%)

end230.0ms (4%)

Profiling