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)

sample858.0ms (17.1%)

Results

824.0ms

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

15.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	15.2b	(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
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series421.0ms (8.4%)

Counts

1 → 24

Calls

1 calls:

420.0ms

(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 (1.4%)

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

prune33.0ms (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
	15.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	34.9b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	6.0b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	39.2b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
	0.9b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	15.8b	(.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)))))
	15.4b	(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)))))
✓	15.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 691 to 502 computations (27.4% saved)

localize9.0ms (0.2%)

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 (/.f64 1/2 a))
✓	0.6b	(cbrt.f64 g)

series482.0ms (9.6%)

Counts

3 → 48

Calls

3 calls:

419.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
33.0ms	(cbrt.f64 (/.f64 1/2 a))
29.0ms	(cbrt.f64 g)

rewrite16.0ms (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)))
3.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Counts

128 → 108

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

prune84.0ms (1.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	96	12	108
Fresh	4	3	7
Picked	1	0	1
Done	1	0	1
Total	102	15	117

Error

0.0b

Counts

117 → 15

Alt Table

Status	Error	Program
	1.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	31.1b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
▶	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a)))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	1.4b	(.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)))))
	30.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (sqrt.f64 a))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 a)))))
	15.2b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	0.9b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.2b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))))
	30.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 a)))))
	15.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	15.4b	(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)))))

Compiler

Compiled 1907 to 1298 computations (31.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series486.0ms (9.7%)

Counts

3 → 48

Calls

3 calls:

420.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
37.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
28.0ms	(cbrt.f64 (/.f64 1 a))

rewrite20.0ms (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:

8.0ms	(.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))

simplify158.0ms (3.1%)

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

prune121.0ms (2.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	167	14	181

Error

0.0b

Counts

181 → 14

Alt Table

Status	Error	Program
	1.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	31.1b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	1.4b	(.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)))))
	30.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (sqrt.f64 a))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 a)))))
	15.2b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
▶	0.9b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.2b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))))
	15.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a)))))
	31.1b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (/.f64 1 a)))
	1.6b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 1 a)))
	15.4b	(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 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (/.f64 1 a)))

Compiler

Compiled 2997 to 2162 computations (27.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series483.0ms (9.6%)

Counts

2 → 36

Calls

2 calls:

449.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
33.0ms	(cbrt.f64 (*.f64 2 a))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

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

simplify112.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

558×	`fma-def_binary64`
438×	`times-frac_binary64`
415×	`associate-/l/_binary64`
378×	`associate-l_binary64`
353×	`associate-/r*_binary64`

Counts

95 → 112

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	124	1680
1	205	1634
2	380	1598
3	763	1452
4	1689	1416
5	4383	1416
6	4743	1416
7	4916	1416

prune95.0ms (1.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	125	5	130
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	129	15	144

Error

0.0b

Counts

144 → 15

Alt Table

Status	Error	Program
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 a)))))
	31.1b	(/.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (sqrt.f64 g))))
	1.1b	(.f64 (/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) 1) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	1.4b	(.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)))))
	30.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (sqrt.f64 a))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 a)))))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	0.9b	(.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (/.f64 1 a)))
	1.2b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))))
	15.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	31.0b	(.f64 (sqrt.f64 (cbrt.f64 g)) (/.f64 (sqrt.f64 (cbrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	31.1b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (/.f64 1 a)))
	1.6b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)))) (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 1 a)))
	15.4b	(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)))))
	1.0b	(/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 (.f64 2 a))) (cbrt.f64 (*.f64 2 a)))))

Compiler

Compiled 2055 to 1303 computations (36.6% saved)

regimes1.2s (23.5%)

Accuracy

Total 0.8b remaining (93%)

Threshold costs 0.8b (93%)

Counts

219 → 1

Compiler

Compiled 18191 to 14068 computations (22.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end217.0ms (4.3%)

Compiler: Compiled 307 to 236 computations (23.1% saved)

Details

analyze39.0ms (0.8%)

sample858.0ms (17.1%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series421.0ms (8.4%)

rewrite3.0ms (0.1%)

simplify70.0ms (1.4%)

prune33.0ms (0.7%)

localize9.0ms (0.2%)

series482.0ms (9.6%)

rewrite16.0ms (0.3%)

simplify90.0ms (1.8%)

prune84.0ms (1.7%)

localize9.0ms (0.2%)

series486.0ms (9.7%)

rewrite20.0ms (0.4%)

simplify158.0ms (3.1%)

prune121.0ms (2.4%)

localize7.0ms (0.1%)

series483.0ms (9.6%)

rewrite9.0ms (0.2%)

simplify112.0ms (2.2%)

prune95.0ms (1.9%)

regimes1.2s (23.5%)

simplify2.0ms (0%)

end217.0ms (4.3%)

Profiling