Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample13.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4768	9
1	4768	9

prune7.0ms

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 42

Calls

2 calls:

4.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
6.0ms	(* 0.12900613773279798 (pow x 3))

series18.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
9.0ms	(* 0.12900613773279798 (pow x 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4894	393
1	4894	393

prune70.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
0.2b	(* (* 0.12900613773279798 x) (* x x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 33

Calls

2 calls:

4.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
7.0ms	(* (* 0.12900613773279798 x) (* x x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
4.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify48.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4912	328
1	4912	328

prune40.0ms

Filtered

20 candidates to 39 candidates (-95.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Merged error: 0.0b

Counts

44 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
0.1b	(* 0.12900613773279798 (* x x))
0.1b	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
31.4b	(cbrt (pow x 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`pow1` `add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`associate-l`
2×	`cube-mult` `unpow3` `*-commutative` `sqr-pow`
1×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
5.0ms	(* 0.12900613773279798 (* x x))
10.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
2.0ms	(cbrt (pow x 3))

series23.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
3.0ms	(* 0.12900613773279798 (* x x))
6.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
3.0ms	(cbrt (pow x 3))

simplify36.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5298	629

prune107.0ms

Filtered

59 candidates to 96 candidates (-62.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	95	6	101

Merged error: 0b

Counts

101 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* x (* x 0.12900613773279798)) (cbrt (pow x 3))))
0.1b	(* (* x (* x 0.12900613773279798)) (cbrt (pow x 3)))
0.1b	(* x (* x 0.12900613773279798))
31.4b	(cbrt (pow x 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`pow1` `add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`associate-l`
2×	`cube-mult` `unpow3` `*-commutative` `sqr-pow`
1×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--` `rem-cbrt-cube`

Counts

4 → 83

Calls

4 calls:

4.0ms	(- (* 0.954929658551372 x) (* (* x (* x 0.12900613773279798)) (cbrt (pow x 3))))
9.0ms	(* (* x (* x 0.12900613773279798)) (cbrt (pow x 3)))
4.0ms	(* x (* x 0.12900613773279798))
2.0ms	(cbrt (pow x 3))

series24.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (* 0.954929658551372 x) (* (* x (* x 0.12900613773279798)) (cbrt (pow x 3))))
6.0ms	(* (* x (* x 0.12900613773279798)) (cbrt (pow x 3)))
3.0ms	(* x (* x 0.12900613773279798))
3.0ms	(cbrt (pow x 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5036	624

prune92.0ms

Filtered

55 candidates to 95 candidates (-72.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	95	6	101

Merged error: 0b

Counts

101 → 6

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample319.0ms

Algorithm

intervals

Results

234.0ms

8000×

body

valid

Details

analyze4.0ms

sample13.0ms

simplify113.0ms

prune7.0ms

localize6.0ms

rewrite11.0ms

series18.0ms

simplify47.0ms

prune70.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify48.0ms

prune40.0ms

localize9.0ms

rewrite25.0ms

series23.0ms

simplify36.0ms

prune107.0ms

localize9.0ms

rewrite22.0ms

series24.0ms

simplify51.0ms

prune92.0ms

regimes38.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample319.0ms

Profiling