Details

sample18.0ms

Algorithm

intervals

Results

11.0ms

370×

body

valid

simplify187.0ms

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: 0.0b

Counts

2 → 2

localize9.0ms

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`
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))

series118.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
24.0ms	(* 0.12900613773279798 (* x x))

simplify144.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (26.0ms)

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

prune58.0ms

Filtered

49 candidates to 28 candidates (57.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Merged error: 0b

Counts

51 → 5

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))

rewrite19.0ms

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))

series171.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
31.0ms	(* (* x x) x)
39.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify152.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (147.0ms)

Iter	Nodes	Cost
0	215	272
1	848	214
2	4615	210
3	5002	209

prune72.0ms

Filtered

70 candidates to 36 candidates (51.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Merged error: 0b

Counts

75 → 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))

rewrite10.0ms

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 → 43

Calls

2 calls:

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

series134.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
35.0ms	(* 0.12900613773279798 (pow x 3))

simplify32.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	182	216
1	777	197
2	5001	196

prune64.0ms

Filtered

49 candidates to 30 candidates (61.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	49	5	54

Merged error: 0b

Counts

54 → 5

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)

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)

series117.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
24.0ms	(* (* 0.12900613773279798 x) x)

simplify35.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	191	223
1	986	195
2	5002	195

prune48.0ms

Filtered

48 candidates to 27 candidates (56.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	48	5	53

Merged error: 0b

Counts

53 → 5

regimes33.0ms

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	9	4
1	9	4

end0.0ms

sample488.0ms

Algorithm

intervals

Results

355.0ms

12132×

body

valid