Details

sample18.0ms

Algorithm

intervals

Results

11.0ms

387×

body

valid

simplify182.0ms

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)
0.1b	(* 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`
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)))
8.0ms	(* (* x x) x)
22.0ms	(* 0.12900613773279798 (* (* x x) x))

series173.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
32.0ms	(* (* x x) x)
41.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify152.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (147.0ms)

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

prune98.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

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

series141.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(- (* 0.954929658551372 x) (* (pow x 3) 0.12900613773279798))
40.0ms	(* (pow x 3) 0.12900613773279798)

simplify38.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	174	211
1	769	198
2	5001	197

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

3.0ms	(- (* 0.954929658551372 x) (* (* x x) (* x 0.12900613773279798)))
11.0ms	(* (* x x) (* x 0.12900613773279798))

series140.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(- (* 0.954929658551372 x) (* (* x x) (* x 0.12900613773279798)))
41.0ms	(* (* x x) (* x 0.12900613773279798))

simplify128.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	184	220
1	746	179
2	3857	173
3	5001	173

prune57.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (* 0.954929658551372 x) (* (* (pow x 3) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)))

0.2b

(* (* (pow x 3) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798))

0.2b

(* (pow x 3) (sqrt 0.12900613773279798))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-exp-log`
13×	`associate-l`
12×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `sqrt-prod` `add-cbrt-cube`
8×	`unswap-sqr`
5×	`pow1` `unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cbrt-unprod`
3×	`sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `flip--`

Counts

3 → 72

Calls

3 calls:

2.0ms

(- (* 0.954929658551372 x) (* (* (pow x 3) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)))

17.0ms

(* (* (pow x 3) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798))

9.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

series312.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms

(- (* 0.954929658551372 x) (* (* (pow x 3) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)))

101.0ms

(* (* (pow x 3) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798))

63.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	251	492
1	1280	427
2	5001	408

prune139.0ms

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample380.0ms

Algorithm

intervals

Results

252.0ms

12077×

body

valid