Details

analyze626.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	48×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	29	9
1	29	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	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `associate-r_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`+-commutative_binary64` `associate-*l/_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 42

Calls

3 calls:

4.0ms	(+.f64 (*.f64 x y) z)
8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series38.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 (*.f64 x y) z)
21.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
10.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4970	486
1	4970	486

prune67.0ms

Filtered

38 candidates to 51 candidates (-34.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

5.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series73.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
17.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune94.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Merged error: 0b

Counts

93 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
6.5b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.5b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.5b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
5.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
5.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
5.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
42.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
40.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
44.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4859	1017
1	4859	1017

prune97.0ms

Filtered

71 candidates to 84 candidates (-18.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	84	9	93

Merged error: 0b

Counts

93 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 (cbrt.f64 y))
1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 y)) 5)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))
6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 y)) 5)

series116.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 y)
27.0ms	(cbrt.f64 (cbrt.f64 y))
25.0ms	(cbrt.f64 (cbrt.f64 y))
47.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 y)) 5)

simplify47.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5247	454

prune73.0ms

Filtered

64 candidates to 75 candidates (-17.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	75	9	84

Merged error: 0b

Counts

84 → 9

regimes467.0ms

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

sample514.0ms

Algorithm

intervals

Results

232.0ms	8000×	body	80	valid
58.0ms	1864×	body	80	invalid

Details

analyze626.0ms

sample20.0ms

simplify5.0ms

prune7.0ms

localize6.0ms

rewrite20.0ms

series38.0ms

simplify42.0ms

prune67.0ms

localize10.0ms

rewrite11.0ms

series73.0ms

simplify44.0ms

prune94.0ms

localize11.0ms

rewrite25.0ms

series181.0ms

simplify67.0ms

prune97.0ms

localize14.0ms

rewrite12.0ms

series116.0ms

simplify47.0ms

prune73.0ms

regimes467.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample514.0ms

Profiling