Details

sample19.0ms

Algorithm

intervals

Results

12.0ms

391×

body

valid

simplify188.0ms

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)

Merged error: 0.0b

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))

rewrite32.0ms

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:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
7.0ms	(* (* x x) x)
20.0ms	(* 0.12900613773279798 (* (* x x) x))

series179.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
44.0ms	(* (* x x) x)
38.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify39.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (33.0ms)

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

prune113.0ms

Filtered

78 candidates to 43 candidates (55.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`associate-r`
10×	`associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`distribute-lft-neg-out` `cube-mult` `pow-to-exp` `neg-mul-1` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 51

Calls

2 calls:

0.0ms	(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
9.0ms	(* (- 0.12900613773279798) (pow x 3))

series125.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
37.0ms	(* (- 0.12900613773279798) (pow x 3))

simplify33.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	183	254
1	832	231
2	5001	231

prune116.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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×	`distribute-lft-neg-out` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

3 → 55

Calls

3 calls:

0.0ms	(fma 0.954929658551372 x (* (* (* (- 0.12900613773279798) x) x) x))
8.0ms	(* (* (- 0.12900613773279798) x) x)
28.0ms	(* (* (* (- 0.12900613773279798) x) x) x)

series143.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(fma 0.954929658551372 x (* (* (* (- 0.12900613773279798) x) x) x))
24.0ms	(* (* (- 0.12900613773279798) x) x)
39.0ms	(* (* (* (- 0.12900613773279798) x) x) x)

simplify36.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	200	321
1	1081	272
2	5001	265

prune110.0ms

Filtered

64 candidates to 42 candidates (65.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 0.954929658551372 x (* (* (- 0.12900613773279798) (pow x 2)) x))
0.2b	(* (- 0.12900613773279798) (pow x 2))
0.2b	(* (* (- 0.12900613773279798) (pow x 2)) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
15×	`add-sqr-sqrt`
11×	`associate-r` `associate-l`
10×	`prod-exp` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`unpow-prod-down` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `*-commutative` `unpow2` `sqr-pow`
1×	`neg-mul-1` `pow-prod-down` `fma-udef`

Counts

3 → 69

Calls

3 calls:

0.0ms	(fma 0.954929658551372 x (* (* (- 0.12900613773279798) (pow x 2)) x))
8.0ms	(* (- 0.12900613773279798) (pow x 2))
11.0ms	(* (* (- 0.12900613773279798) (pow x 2)) x)

series148.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(fma 0.954929658551372 x (* (* (- 0.12900613773279798) (pow x 2)) x))
25.0ms	(* (- 0.12900613773279798) (pow x 2))
40.0ms	(* (* (- 0.12900613773279798) (pow x 2)) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	247	379
1	1229	326
2	5002	319

prune141.0ms

Filtered

78 candidates to 53 candidates (67.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	15	4
2	16	4
3	16	4

end0.0ms

sample391.0ms

Algorithm

intervals

Results

267.0ms

11887×

body

valid