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

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))

rewrite20.0ms

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

series173.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
37.0ms	(* (* x x) x)
37.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify39.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

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

prune117.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

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))

rewrite10.0ms

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:

1.0ms	(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
8.0ms	(* (- 0.12900613773279798) (pow x 3))

series123.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
38.0ms	(* (- 0.12900613773279798) (pow x 3))

simplify31.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

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

prune113.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)

rewrite15.0ms

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:

1.0ms	(fma 0.954929658551372 x (* (* (* (- 0.12900613773279798) x) x) x))
5.0ms	(* (* (- 0.12900613773279798) x) x)
7.0ms	(* (* (* (- 0.12900613773279798) x) x) x)

series153.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(fma 0.954929658551372 x (* (* (* (- 0.12900613773279798) x) x) x))
30.0ms	(* (* (- 0.12900613773279798) x) x)
37.0ms	(* (* (* (- 0.12900613773279798) x) x) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (33.0ms)

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

prune111.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

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)

rewrite16.0ms

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:

1.0ms	(fma 0.954929658551372 x (* (* (- 0.12900613773279798) (pow x 2)) x))
7.0ms	(* (- 0.12900613773279798) (pow x 2))
7.0ms	(* (* (- 0.12900613773279798) (pow x 2)) x)

series150.0ms

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))
41.0ms	(* (* (- 0.12900613773279798) (pow x 2)) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	247	373
1	1196	326
2	5001	319

prune148.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes18.0ms

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

sample365.0ms

Algorithm

intervals

Results

249.0ms

11887×

body

valid