Details

sample31.0ms

Algorithm

intervals

Results

24.0ms

388×

body

valid

simplify190.0ms

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: 0.1b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

2.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
8.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
7.0ms	(* 0.12900613773279798 (* x x))

series193.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
98.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
31.0ms	(* 0.12900613773279798 (* x x))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	247	453
1	1096	392
2	5001	378

prune137.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

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))

rewrite15.0ms

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` `expm1-log1p-u` `sum-log` `log1p-expm1-u` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 51

Calls

2 calls:

3.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
10.0ms	(* 0.12900613773279798 (pow x 3))

series137.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
37.0ms	(* 0.12900613773279798 (pow x 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	227	252
1	1119	222
2	5001	218

prune112.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma x 0.954929658551372 (- (* 0.12900613773279798 (pow x 3))))
7.0ms	(* 0.12900613773279798 (pow x 3))

series156.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(fma x 0.954929658551372 (- (* 0.12900613773279798 (pow x 3))))
37.0ms	(* 0.12900613773279798 (pow x 3))

simplify172.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	143	194
1	588	171
2	3540	171
3	5002	171

prune103.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.954929658551372 (- (* (* (* 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`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma x 0.954929658551372 (- (* (* (* 0.12900613773279798 x) x) x)))
21.0ms	(* (* (* 0.12900613773279798 x) x) x)
9.0ms	(* (* 0.12900613773279798 x) x)

series166.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(fma x 0.954929658551372 (- (* (* (* 0.12900613773279798 x) x) x)))
41.0ms	(* (* (* 0.12900613773279798 x) x) x)
26.0ms	(* (* 0.12900613773279798 x) x)

simplify35.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	184	275
1	1004	227
2	5002	220

prune100.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	15	4
2	15	4

end0.0ms

sample860.0ms

Algorithm

intervals

Results

733.0ms

12010×

body

valid