Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

413×

body

valid

simplify189.0ms

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 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

4.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
6.0ms	(* (* x x) x)
12.0ms	(* 0.12900613773279798 (* (* x x) x))

series168.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
37.0ms	(* (* x x) x)
36.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	241	310
1	969	249
2	5002	241

prune93.0ms

Filtered

78 candidates to 43 candidates (55.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Merged error: 0b

Counts

80 → 5

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` `expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

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

series137.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
39.0ms	(* 0.12900613773279798 (pow x 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	198	239
1	844	218
2	5002	217

prune84.0ms

Filtered

55 candidates to 36 candidates (65.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Merged error: 0b

Counts

60 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

3.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
6.0ms	(* (* (* 0.12900613773279798 x) x) x)
5.0ms	(* (* 0.12900613773279798 x) x)

series162.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
41.0ms	(* (* (* 0.12900613773279798 x) x) x)
25.0ms	(* (* 0.12900613773279798 x) x)

simplify48.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	246	332
1	1302	281
2	5001	271

prune85.0ms

Filtered

69 candidates to 42 candidates (60.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	69	5	74

Merged error: 0b

Counts

74 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series747.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
177.0ms	(cbrt x)
186.0ms	(cbrt x)

simplify94.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune177.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Merged error: 0b

Counts

98 → 5

regimes22.0ms

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

sample478.0ms

Algorithm

intervals

Results

348.0ms

12103×

body

valid