Details

analyze514.0ms

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	241×	body	80	valid
1.0ms	7×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	148	9
1	148	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

simplify45.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5080	204

prune19.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`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 → 95

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
50.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
53.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
49.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4848	1864
1	4848	1864

prune144.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	8	110

Merged error: 0b

Counts

110 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod_binary64`
17×	`*-un-lft-identity_binary64`
10×	`cbrt-div_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 59

Calls

4 calls:

7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
53.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
50.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
65.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

simplify31.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5067	1108

prune141.0ms

Filtered

63 candidates to 71 candidates (-12.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	71	8	79

Merged error: 0b

Counts

79 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 56

Calls

4 calls:

7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
53.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
51.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
54.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify32.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5416	1040

prune132.0ms

Filtered

60 candidates to 68 candidates (-13.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	68	8	76

Merged error: 0b

Counts

76 → 8

regimes190.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample404.0ms

Algorithm

intervals

Results

196.0ms	7455×	body	80	valid
21.0ms	190×	body	640	valid
16.0ms	140×	body	1280	valid
9.0ms	125×	body	320	valid
3.0ms	23×	body	2560	valid
3.0ms	67×	body	160	valid
0.0ms	8×	body	80	invalid

Details

analyze514.0ms

sample16.0ms

simplify7.0ms

prune7.0ms

localize10.0ms

rewrite9.0ms

series7.0ms

simplify45.0ms

prune19.0ms

localize10.0ms

rewrite45.0ms

series222.0ms

simplify66.0ms

prune144.0ms

localize16.0ms

rewrite32.0ms

series217.0ms

simplify31.0ms

prune141.0ms

localize16.0ms

rewrite30.0ms

series208.0ms

simplify32.0ms

prune132.0ms

regimes190.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample404.0ms

Profiling