Details

analyze51.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12
95.3%	4.6%	0.1%	13
96.8%	3.1%	0.1%	14

sample9.0ms

Algorithm

intervals

Results

4.0ms

256×

body

128

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 x y) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
3×	`distribute-lft-out_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

1 → 15

Calls

1 calls:

7.0ms

(+.f64 (+.f64 x y) x)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(+.f64 (+.f64 x y) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5088	169

prune8.0ms

Filtered

11 candidates to 18 candidates (-63.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
0.5b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64`
51×	`cbrt-prod_binary64`
33×	`distribute-lft-out_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`swap-sqr_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 105

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

337.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
259.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
257.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
276.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5183	2165

prune75.0ms

Filtered

80 candidates to 117 candidates (-46.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	4	120

Merged error: 0.0b

Counts

120 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

51×	`cbrt-prod_binary64`
34×	`*-un-lft-identity_binary64`
22×	`unpow-prod-down_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`distribute-lft-out_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `pow-pow_binary64` `sqr-pow_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 79

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
9.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6))
9.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6)

series1.8s

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
268.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
375.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6))
858.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6)

simplify76.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4909	1606
1	4909	1606

prune77.0ms

Filtered

60 candidates to 91 candidates (-51.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	91	4	95

Merged error: 0.0b

Counts

95 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 x y))
21.9b	(/.f64 (*.f64 y (+.f64 x (+.f64 x y))) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r*_binary64` `distribute-lft-out_binary64` `times-frac_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `pow1_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

2 → 38

Calls

2 calls:

6.0ms	(+.f64 x (+.f64 x y))
9.0ms	(/.f64 (*.f64 y (+.f64 x (+.f64 x y))) y)

series71.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+.f64 x (+.f64 x y))
38.0ms	(/.f64 (*.f64 y (+.f64 x (+.f64 x y))) y)

simplify83.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4953	461
1	4953	461

prune23.0ms

Filtered

32 candidates to 44 candidates (-37.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

regimes33.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample237.0ms

Algorithm

intervals

Results

121.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Details

analyze51.0ms

sample9.0ms

simplify8.0ms

prune2.0ms

localize3.0ms

rewrite8.0ms

series38.0ms

simplify57.0ms

prune8.0ms

localize7.0ms

rewrite44.0ms

series1.1s

simplify52.0ms

prune75.0ms

localize16.0ms

rewrite38.0ms

series1.8s

simplify76.0ms

prune77.0ms

localize8.0ms

rewrite18.0ms

series71.0ms

simplify83.0ms

prune23.0ms

regimes33.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample237.0ms

Profiling