Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

382×

body

valid

simplify188.0ms

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: 0.0b

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)

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)))
24.0ms	(* 0.12900613773279798 (* (* x x) x))
7.0ms	(* (* x x) x)

series170.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
41.0ms	(* 0.12900613773279798 (* (* x x) x))
32.0ms	(* (* x x) x)

simplify155.0ms

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

prune92.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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` `add-log-exp` `unswap-sqr`
3×	`associate-l` `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:

2.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
7.0ms	(* 0.12900613773279798 (pow x 3))

series135.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
35.0ms	(* 0.12900613773279798 (pow x 3))

simplify33.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	182	213
1	777	194
2	5001	193

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

10.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
6.0ms	(* 0.12900613773279798 (* x x))

series118.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms	(* 0.12900613773279798 (* x x))

simplify144.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	190	227
1	849	198
2	4408	197
3	5001	197

prune71.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) (cbrt (pow x 3))))
0.1b	(* (* (* 0.12900613773279798 x) x) (cbrt (pow x 3)))
0.2b	(* (* 0.12900613773279798 x) x)
32.4b	(cbrt (pow x 3))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`pow1` `add-exp-log` `associate-r`
15×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
2×	`cube-mult` `unpow3` `associate-l` `*-commutative` `sqr-pow`
1×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--` `rem-cbrt-cube`

Counts

4 → 84

Calls

4 calls:

2.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) (cbrt (pow x 3))))
25.0ms	(* (* (* 0.12900613773279798 x) x) (cbrt (pow x 3)))
6.0ms	(* (* 0.12900613773279798 x) x)
1.0ms	(cbrt (pow x 3))

series207.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) (cbrt (pow x 3))))
47.0ms	(* (* (* 0.12900613773279798 x) x) (cbrt (pow x 3)))
28.0ms	(* (* 0.12900613773279798 x) x)
16.0ms	(cbrt (pow x 3))

simplify74.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	328	440
1	1919	368
2	5002	344

prune155.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes18.0ms

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

sample381.0ms

Algorithm

intervals

Results

259.0ms

12023×

body

valid