Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

405×

body

valid

simplify186.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	38	4
2	80	4
3	118	4
4	174	4
5	365	4
6	1299	4
7	4620	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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

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

series121.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
28.0ms	(* 0.12900613773279798 (* x x))

simplify142.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	190	227
1	849	198
2	4408	197
3	5001	197

prune62.0ms

Filtered

49 candidates to 28 candidates (57.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	7	51

Merged error: 0b

Counts

51 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (- (* 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` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sum-log` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 46

Calls

2 calls:

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

series133.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
40.0ms	(* 0.12900613773279798 (pow x 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	216	235
1	1062	204
2	5001	204

prune74.0ms

Filtered

52 candidates to 31 candidates (59.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	52	7	59

Merged error: 0b

Counts

59 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

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

series122.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
28.0ms	(* (* 0.12900613773279798 x) x)

simplify138.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	191	223
1	978	195
2	4921	195
3	5001	195

prune50.0ms

Filtered

48 candidates to 26 candidates (54.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	48	7	55

Merged error: 0b

Counts

55 → 7

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))

rewrite18.0ms

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`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
5.0ms	(* (* x x) x)
8.0ms	(* 0.12900613773279798 (* (* x x) x))

series163.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
34.0ms	(* (* x x) x)
35.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify154.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	215	272
1	848	214
2	4615	210
3	5002	206

prune67.0ms

Filtered

70 candidates to 36 candidates (51.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	70	7	77

Merged error: 0b

Counts

77 → 7

regimes44.0ms

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	16	5
1	18	5
2	18	5

end0.0ms

sample394.0ms

Algorithm

intervals

Results

275.0ms

11929×

body

valid