Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

381×

body

valid

simplify192.0ms

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

localize11.0ms

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))

rewrite35.0ms

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)))
8.0ms	(* (* x x) x)
22.0ms	(* 0.12900613773279798 (* (* x x) x))

series171.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(- (* 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

prune115.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 1 (* 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:

3.0ms	(- (* 0.954929658551372 x) (* 1 (* 0.12900613773279798 (pow x 3))))
7.0ms	(* 0.12900613773279798 (pow x 3))

series134.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(- (* 0.954929658551372 x) (* 1 (* 0.12900613773279798 (pow x 3))))
37.0ms	(* 0.12900613773279798 (pow x 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	220	258
1	991	228
2	5001	226

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 1 (* (* (* 0.12900613773279798 x) x) x)))
0.1b	(* (* (* 0.12900613773279798 x) x) x)
0.2b	(* (* 0.12900613773279798 x) x)

rewrite32.0ms

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--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 59

Calls

3 calls:

3.0ms	(- (* 0.954929658551372 x) (* 1 (* (* (* 0.12900613773279798 x) x) x)))
21.0ms	(* (* (* 0.12900613773279798 x) x) x)
7.0ms	(* (* 0.12900613773279798 x) x)

series165.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(- (* 0.954929658551372 x) (* 1 (* (* (* 0.12900613773279798 x) x) x)))
41.0ms	(* (* (* 0.12900613773279798 x) x) x)
25.0ms	(* (* 0.12900613773279798 x) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	262	351
1	1379	293
2	5001	275

prune110.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

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))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

2 → 53

Calls

2 calls:

11.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
7.0ms	(* 0.12900613773279798 (* x x))

series123.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms	(* 0.12900613773279798 (* x x))

simplify36.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	225	321
1	1006	278
2	5001	267

prune81.0ms

Pruning

3 alts after pruning (0 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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	5
1	17	5
2	17	5

end0.0ms

sample401.0ms

Algorithm

intervals

Results

277.0ms

12140×

body

valid