Details

sample21.0ms

Algorithm

intervals

Results

13.0ms

384×

body

valid

simplify185.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	5
1	40	4
2	88	4
3	142	4
4	202	4
5	400	4
6	1349	4
7	4708	4
8	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
16×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`pow2` `expm1-log1p-u` `pow-sqr` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`pow3` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

8.0ms	(* 0.12900613773279798 (* (* x x) x))
6.0ms	(* (* x x) x)

series69.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* 0.12900613773279798 (* (* x x) x))
32.0ms	(* (* x x) x)

simplify79.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	153	171
1	578	126
2	2570	122
3	5002	119

prune62.0ms

Filtered

59 candidates to 30 candidates (50.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Merged error: 0.0b

Counts

61 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 0.12900613773279798 (pow x 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
6×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`sqr-pow`
1×	`pow1` `expm1-log1p-u` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

6.0ms

(* 0.12900613773279798 (pow x 3))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* 0.12900613773279798 (pow x 3))

simplify149.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	120	121
1	505	107
2	3008	107
3	5001	107

prune48.0ms

Filtered

36 candidates to 22 candidates (61.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Merged error: 0b

Counts

40 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-l`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 73

Calls

3 calls:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
9.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
6.0ms	(* 0.12900613773279798 (* x x))

series179.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
95.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
24.0ms	(* 0.12900613773279798 (* x x))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	247	453
1	1096	392
2	5001	378

prune101.0ms

Filtered

82 candidates to 51 candidates (62.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Merged error: 0b

Counts

87 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (* 0.12900613773279798 x) x) x)
0.2b	(* (* 0.12900613773279798 x) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 43

Calls

2 calls:

10.0ms	(* (* (* 0.12900613773279798 x) x) x)
5.0ms	(* (* 0.12900613773279798 x) x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (* (* 0.12900613773279798 x) x) x)
24.0ms	(* (* 0.12900613773279798 x) x)

simplify130.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	160	190
1	911	153
2	4769	148
3	5001	142

prune55.0ms

Filtered

49 candidates to 27 candidates (55.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	49	5	54

Merged error: 0b

Counts

54 → 5

regimes37.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample490.0ms

Algorithm

intervals

Results

345.0ms

12063×

body

valid