Details

analyze286.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

sample16.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	42	13
1	42	13

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.2b	(.f64 z (.f64 z 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
5.0ms	(.f64 z (.f64 z 3))

series68.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
22.0ms	(.f64 z (.f64 z 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5099	419

prune24.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 38

Calls

3 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z z))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
12.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

series119.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+.f64 (.f64 x y) (.f64 z z))
42.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
43.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

simplify85.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4860	767
1	4860	767

prune30.0ms

Filtered

33 candidates to 47 candidates (-42.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	46	6	52

Merged error: 0.0b

Counts

52 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 z (.f64 z 3))) (cbrt.f64 (.f64 z (*.f64 z 3))))
20.9b	(cbrt.f64 (.f64 z (.f64 z 3)))
20.9b	(cbrt.f64 (.f64 z (.f64 z 3)))
20.9b	(cbrt.f64 (.f64 z (.f64 z 3)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_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`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 z 3))) (cbrt.f64 (.f64 z (*.f64 z 3))))
4.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
4.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
4.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))

series454.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 z 3))) (cbrt.f64 (.f64 z (*.f64 z 3))))
108.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
107.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
109.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))

simplify67.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4956	733
1	4956	733

prune62.0ms

Filtered

47 candidates to 70 candidates (-48.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 z (.f64 z 3))) (cbrt.f64 (.f64 z (*.f64 z 3))))
20.9b	(cbrt.f64 (.f64 z (.f64 z 3)))
20.9b	(cbrt.f64 (.f64 z (.f64 z 3)))
21.0b	(cbrt.f64 (*.f64 z z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_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`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 z 3))) (cbrt.f64 (.f64 z (*.f64 z 3))))
4.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
4.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
2.0ms	(cbrt.f64 (*.f64 z z))

series444.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 z 3))) (cbrt.f64 (.f64 z (*.f64 z 3))))
109.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
113.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
90.0ms	(cbrt.f64 (*.f64 z z))

simplify79.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4927	695
1	4927	695

prune64.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample404.0ms

Algorithm

intervals

Results

232.0ms	8000×	body	80	valid
12.0ms	453×	body	80	invalid

Details

analyze286.0ms

sample16.0ms

simplify13.0ms

prune4.0ms

localize7.0ms

rewrite11.0ms

series68.0ms

simplify63.0ms

prune24.0ms

localize7.0ms

rewrite24.0ms

series119.0ms

simplify85.0ms

prune30.0ms

localize10.0ms

rewrite19.0ms

series454.0ms

simplify67.0ms

prune62.0ms

localize18.0ms

rewrite18.0ms

series444.0ms

simplify79.0ms

prune64.0ms

regimes95.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample404.0ms

Profiling