Details

sample21.0ms

Algorithm

intervals

Results

13.0ms

385×

body

valid

simplify187.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

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)
0.2b	(* 0.12900613773279798 (* (* x x) x))

rewrite76.0ms

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:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
18.0ms	(* (* x x) x)
48.0ms	(* 0.12900613773279798 (* (* x x) x))

series158.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
29.0ms	(* (* x x) x)
38.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify153.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (148.0ms)

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

prune97.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.954929658551372 x) (* (- 0.12900613773279798) (pow x 3)))
0.2b	(* (- 0.12900613773279798) (pow x 3))

rewrite28.0ms

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` `add-log-exp` `unswap-sqr`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `neg-mul-1` `flip3-+` `unpow3` `unsub-neg` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 52

Calls

2 calls:

10.0ms	(+ (* 0.954929658551372 x) (* (- 0.12900613773279798) (pow x 3)))
16.0ms	(* (- 0.12900613773279798) (pow x 3))

series126.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(+ (* 0.954929658551372 x) (* (- 0.12900613773279798) (pow x 3)))
35.0ms	(* (- 0.12900613773279798) (pow x 3))

simplify39.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	239	281
1	1135	255
2	5001	254

prune108.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

6.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
16.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
18.0ms	(* 0.12900613773279798 (* x x))

series170.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
89.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
24.0ms	(* 0.12900613773279798 (* x x))

simplify148.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	208	309
1	918	272
2	4620	271
3	5002	271

prune93.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-lft-neg-out`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`+-commutative` `flip3-+` `associate-r` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+`

Counts

2 → 36

Calls

2 calls:

9.0ms	(+ (* 0.954929658551372 x) (* (* (- 0.12900613773279798) x) (* x x)))
32.0ms	(* (* (- 0.12900613773279798) x) (* x x))

series125.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(+ (* 0.954929658551372 x) (* (* (- 0.12900613773279798) x) (* x x)))
35.0ms	(* (* (- 0.12900613773279798) x) (* x x))

simplify41.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	213	253
1	917	211
2	5001	198

prune57.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes17.0ms

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	14	5
1	18	5
2	19	5
3	19	5

end0.0ms

sample428.0ms

Algorithm

intervals

Results

271.0ms

12023×

body

valid