Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

392×

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	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite80.0ms

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)))
47.0ms	(* 0.12900613773279798 (* (* x x) x))
23.0ms	(* (* x x) x)

series161.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
38.0ms	(* 0.12900613773279798 (* (* x x) x))
30.0ms	(* (* x x) x)

simplify154.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	215	272
1	848	214
2	4603	210
3	5001	206

prune95.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
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-r` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 43

Calls

2 calls:

8.0ms	(- (* 0.954929658551372 x) (* 1 (* (pow x 3) 0.12900613773279798)))
13.0ms	(* (pow x 3) 0.12900613773279798)

series128.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(- (* 0.954929658551372 x) (* 1 (* (pow x 3) 0.12900613773279798)))
38.0ms	(* (pow x 3) 0.12900613773279798)

simplify41.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	189	225
1	808	205
2	5001	204

prune92.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

10.0ms	(- (* 0.954929658551372 x) (* 1 (* x (* (* x x) 0.12900613773279798))))
47.0ms	(* x (* (* x x) 0.12900613773279798))
18.0ms	(* (* x x) 0.12900613773279798)

series152.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(- (* 0.954929658551372 x) (* 1 (* x (* (* x x) 0.12900613773279798))))
38.0ms	(* x (* (* x x) 0.12900613773279798))
23.0ms	(* (* x x) 0.12900613773279798)

simplify44.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	246	298
1	1151	242
2	5001	235

prune96.0ms

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

10.0ms	(- (* 0.954929658551372 x) (* 1 (* (* x x) (* x 0.12900613773279798))))
27.0ms	(* (* x x) (* x 0.12900613773279798))

series125.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(- (* 0.954929658551372 x) (* 1 (* (* x x) (* x 0.12900613773279798))))
34.0ms	(* (* x x) (* x 0.12900613773279798))

simplify38.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	203	232
1	902	181
2	5001	174

prune54.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes23.0ms

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

sample424.0ms

Algorithm

intervals

Results

254.0ms

12172×

body

valid