Details

analyze34.0ms (0.5%)

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)

sample31.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify7.0ms (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

16.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	16.7b	(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
✓	16.3b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series532.0ms (7.5%)

Counts

1 → 24

Calls

1 calls:

532.0ms

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

rewrite3.0ms (0%)

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)))

simplify72.0ms (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 (0.4%)

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

0.1b

Counts

39 → 9

Alt Table

Status	Error	Program
✓	16.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	16.7b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	6.3b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	41.5b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 2 a)))))
	17.1b	(.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)))
	16.8b	(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)))
	35.9b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))

Compiler

Compiled 689 to 500 computations (27.4% 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)))
✓	0.6b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (/.f64 1/2 a))

series809.0ms (11.4%)

Counts

3 → 48

Calls

3 calls:

742.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
37.0ms	(cbrt.f64 (/.f64 1/2 a))
30.0ms	(cbrt.f64 g)

rewrite33.0ms (0.5%)

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:

18.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
4.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

simplify159.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Counts

128 → 116

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

prune180.0ms (2.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	103	13	116
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	107	18	125

Error

0.0b

Counts

125 → 18

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	6.3b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	1.0b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	16.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	27.9b	(.f64 (.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))))
▶	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	16.7b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g 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)))))
	1.0b	(.f64 (cbrt.f64 (.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	27.9b	(.f64 (.f64 (cbrt.f64 g) (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))))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	35.5b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	1.1b	(.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 (.f64 (cbrt.f64 g) (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)))))
	35.9b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))

Compiler

Compiled 2085 to 1400 computations (32.9% saved)

localize22.0ms (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))

series756.0ms (10.7%)

Counts

3 → 12

Calls

3 calls:

756.0ms	(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)))

rewrite34.0ms (0.5%)

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:

16.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
5.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
5.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))

simplify184.0ms (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

prune265.0ms (3.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	3	13	16
Picked	0	1	1
Done	0	1	1
Total	137	17	154

Error

0.0b

Counts

154 → 17

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	6.3b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	1.0b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	1.1b	(.f64 (.f64 (cbrt.f64 g) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 1/2) 2/3)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	16.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	16.7b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g 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)))))
	1.0b	(.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)))
	35.5b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))) (sqrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
	1.2b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.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)))))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	35.9b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))

Compiler

Compiled 3259 to 2645 computations (18.8% saved)

localize11.0ms (0.2%)

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 g)
✓	0.6b	(cbrt.f64 (*.f64 2 a))

series977.0ms (13.8%)

Counts

2 → 36

Calls

2 calls:

904.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
72.0ms	(cbrt.f64 (*.f64 2 a))

rewrite18.0ms (0.3%)

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:

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

simplify240.0ms (3.4%)

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

prune174.0ms (2.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	126	4	130
Fresh	5	9	14
Picked	1	0	1
Done	1	1	2
Total	133	14	147

Error

Counts

147 → 14

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	6.3b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) 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) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	1.1b	(.f64 (.f64 (cbrt.f64 g) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 1/2) 2/3)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	16.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	16.7b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
	1.2b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) a))))
	1.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
	1.1b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 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)))))

Compiler

Compiled 1984 to 1253 computations (36.8% saved)

regimes1.3s (17.7%)

Accuracy

Total 0.8b remaining (94.6%)

Threshold costs 0.8b (94.6%)

Counts

116 → 1

Compiler

Compiled 9358 to 7092 computations (24.2% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
2	9	11

end1.0ms (0%)

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

sample1.3s (17.7%)

Algorithm

1×

intervals

Results

533.0ms

8000×

body

128

valid

Compiler

Compiled 232 to 182 computations (21.6% saved)

Details

analyze34.0ms (0.5%)

sample31.0ms (0.4%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series532.0ms (7.5%)

rewrite3.0ms (0%)

simplify72.0ms (1%)

prune31.0ms (0.4%)

localize6.0ms (0.1%)

series809.0ms (11.4%)

rewrite33.0ms (0.5%)

simplify159.0ms (2.2%)

prune180.0ms (2.5%)

localize22.0ms (0.3%)

series756.0ms (10.7%)

rewrite34.0ms (0.5%)

simplify184.0ms (2.6%)

prune265.0ms (3.7%)

localize11.0ms (0.2%)

series977.0ms (13.8%)

rewrite18.0ms (0.3%)

simplify240.0ms (3.4%)

prune174.0ms (2.4%)

regimes1.3s (17.7%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.3s (17.7%)

Profiling