Details

sample18.0ms

Algorithm

intervals

Results

11.0ms

391×

body

valid

simplify192.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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`
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)))
6.0ms	(* (* x x) x)
9.0ms	(* 0.12900613773279798 (* (* x x) x))

series175.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
37.0ms	(* (* x x) x)
38.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify154.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (150.0ms)

Iter	Nodes	Cost
0	215	272
1	848	214
2	4615	210
3	5002	206

prune101.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
0.1b	(* 0.12900613773279798 (pow (pow x 3) 1))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`unpow-prod-down`
17×	`add-sqr-sqrt`
16×	`associate-r`
10×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`unswap-sqr`
5×	`prod-exp`
4×	`cube-prod` `pow-exp` `add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow1` `associate-l`
2×	`pow-to-exp`
1×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 52

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
9.0ms	(* 0.12900613773279798 (pow (pow x 3) 1))

series139.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
41.0ms	(* 0.12900613773279798 (pow (pow x 3) 1))

simplify47.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	244	275
1	1172	247
2	5001	238

prune110.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`prod-exp`
7×	`add-cbrt-cube`
5×	`pow1` `associate-r`
4×	`pow-exp` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `cbrt-unprod`
2×	`pow-to-exp`
1×	`sub-neg` `unpow-prod-down` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `sqr-pow`

Counts

2 → 38

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* (* x 0.12900613773279798) (pow (* x x) 1)))
6.0ms	(* (* x 0.12900613773279798) (pow (* x x) 1))

series139.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	216	272
1	1131	233
2	5002	198

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* (* x 0.12900613773279798) (fabs x)) (pow (* x x) (/ 1 2))))
0.1b	(* (* (* x 0.12900613773279798) (fabs x)) (pow (* x x) (/ 1 2)))
0.2b	(* (* x 0.12900613773279798) (fabs x))
20.5b	(pow (* x x) (/ 1 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log`
31×	`prod-exp`
18×	`add-cbrt-cube`
17×	`pow1`
13×	`add-sqr-sqrt` `add-cube-cbrt` `pow-unpow` `*-un-lft-identity`
9×	`times-frac` `cbrt-unprod`
8×	`associate-r` `pow-exp`
6×	`pow-pow` `add-log-exp`
4×	`pow-to-exp` `pow-prod-down`
2×	`unpow-prod-down` `associate-l` `*-commutative` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up` `flip--` `div-inv`

Counts

4 → 90

Calls

4 calls:

3.0ms	(- (* 0.954929658551372 x) (* (* (* x 0.12900613773279798) (fabs x)) (pow (* x x) (/ 1 2))))
8.0ms	(* (* (* x 0.12900613773279798) (fabs x)) (pow (* x x) (/ 1 2)))
5.0ms	(* (* x 0.12900613773279798) (fabs x))
6.0ms	(pow (* x x) (/ 1 2))

series395.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (* 0.954929658551372 x) (* (* (* x 0.12900613773279798) (fabs x)) (pow (* x x) (/ 1 2))))
58.0ms	(* (* (* x 0.12900613773279798) (fabs x)) (pow (* x x) (/ 1 2)))
49.0ms	(* (* x 0.12900613773279798) (fabs x))
185.0ms	(pow (* x x) (/ 1 2))

simplify74.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	425	625
1	2178	527
2	5001	444

prune202.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes16.0ms

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	14	5
1	14	5

end0.0ms

sample381.0ms

Algorithm

intervals

Results

261.0ms

11914×

body

valid