Details

analyze30.0ms (0.7%)

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)

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% 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

12.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	12.5b	(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
✓	12.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series414.0ms (9.8%)

Counts

1 → 24

Calls

1 calls:

414.0ms

(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)))

simplify64.0ms (1.5%)

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 (9 fresh and 0 done)

	Pruned	Kept	Total
New	29	9	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	9	39

Error

0.1b

Counts

39 → 9

Alt Table

Status	Error	Program
	41.7b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	12.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	12.6b	(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)))))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	12.5b	(.f64 1 (cbrt.f64 (/.f64 g (.f64 a 2))))
	37.0b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	5.6b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	41.8b	(.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)))

Compiler

Compiled 687 to 500 computations (27.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	0.5b	(cbrt.f64 (/.f64 1/2 a))
✓	0.6b	(cbrt.f64 g)

series472.0ms (11.1%)

Counts

3 → 48

Calls

3 calls:

410.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
33.0ms	(cbrt.f64 (/.f64 1/2 a))
29.0ms	(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)

simplify83.0ms (2%)

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

prune82.0ms (1.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	95	13	108
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	101	16	117

Error

0.0b

Counts

117 → 16

Alt Table

Status	Error	Program
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	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))))
	12.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g 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)))))
	30.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 a))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))))
	12.5b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
	0.9b	(.f64 (cbrt.f64 (.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	30.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 a)))))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	1.0b	(.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (/.f64 1/2 a)))))
	5.6b	(.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))) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 1937 to 1308 computations (32.5% saved)

localize7.0ms (0.2%)

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))

series469.0ms (11.1%)

Counts

2 → 36

Calls

2 calls:

435.0ms	(/.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	(cbrt.f64 (*.f64 2 a))
3.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

simplify111.0ms (2.6%)

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

prune91.0ms (2.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	130	16	146

Error

0.0b

Counts

146 → 16

Alt Table

Status	Error	Program
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
▶	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))))
	12.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g 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)))))
	30.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 a))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))))
	12.5b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
	0.9b	(.f64 (cbrt.f64 (.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	30.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 a)))))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	1.0b	(.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (/.f64 1/2 a)))))
	5.6b	(.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))) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 2271 to 1454 computations (36% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
✓	1.0b	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
✓	1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))

series368.0ms (8.7%)

Counts

3 → 12

Calls

3 calls:

368.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
0.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`cbrt-prod_binary64`
32×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`

Counts

3 → 86

Calls

3 calls:

7.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
3.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
2.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))

simplify108.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-neg_binary64`
640×	`fma-def_binary64`
441×	`associate-/l*_binary64`
352×	`times-frac_binary64`
257×	`associate-*l/_binary64`

Counts

98 → 118

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	136	1389
1	196	1369
2	424	1342
3	1011	1244
4	2957	1061
5	3672	1039
6	4870	1039
7	5053	1039

prune159.0ms (3.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	14	14
Picked	1	0	1
Done	0	1	1
Total	136	16	152

Error

Counts

152 → 16

Alt Table

Status	Error	Program
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	12.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g 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)))))
	30.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 a))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))))
	12.5b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 1/2) 2/3))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	1.5b	(.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(.f64 (cbrt.f64 (.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	30.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 a)))))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	1.0b	(.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (/.f64 1/2 a)))))
	5.6b	(.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))) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 3016 to 2453 computations (18.7% saved)

regimes811.0ms (19.1%)

Accuracy

Total 0.8b remaining (92.8%)

Threshold costs 0.8b (92.8%)

Counts

144 → 1

Compiler

Compiled 12403 to 9971 computations (19.6% 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	12	11
1	16	11
2	13	11

end0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample838.0ms (19.8%)

Algorithm

1×

intervals

Results

455.0ms

8000×

body

128

valid

Compiler

Compiled 274 to 203 computations (25.9% saved)

Details

analyze30.0ms (0.7%)

sample28.0ms (0.7%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series414.0ms (9.8%)

rewrite3.0ms (0.1%)

simplify64.0ms (1.5%)

prune31.0ms (0.7%)

localize6.0ms (0.1%)

series472.0ms (11.1%)

rewrite14.0ms (0.3%)

simplify83.0ms (2%)

prune82.0ms (1.9%)

localize7.0ms (0.2%)

series469.0ms (11.1%)

rewrite9.0ms (0.2%)

simplify111.0ms (2.6%)

prune91.0ms (2.2%)

localize11.0ms (0.3%)

series368.0ms (8.7%)

rewrite15.0ms (0.4%)

simplify108.0ms (2.6%)

prune159.0ms (3.8%)

regimes811.0ms (19.1%)

simplify2.0ms (0%)

end0.0ms (0%)

sample838.0ms (19.8%)

Profiling