Details

sample19.0ms

Algorithm

intervals

Results

12.0ms

378×

body

valid

simplify188.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	40	4
2	88	4
3	142	4
4	202	4
5	400	4
6	1349	4
7	4708	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 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-l`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 73

Calls

3 calls:

2.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
8.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
6.0ms	(* 0.12900613773279798 (* x x))

series176.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
93.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
24.0ms	(* 0.12900613773279798 (* x x))

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	247	453
1	1096	392
2	5001	378

prune137.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `sum-log` `log1p-expm1-u` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 51

Calls

2 calls:

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

series138.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
41.0ms	(* 0.12900613773279798 (pow x 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	227	252
1	1119	222
2	5001	218

prune113.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

2.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
8.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
7.0ms	(* (* 0.12900613773279798 x) x)

series184.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
95.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
29.0ms	(* (* 0.12900613773279798 x) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	245	449
1	1206	389
2	5002	381

prune131.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (pow x 2)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))))
0.2b	(* 0.12900613773279798 (pow x 2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-r`
10×	`add-exp-log`
9×	`prod-diff`
7×	`add-cbrt-cube`
6×	`associate-l`
5×	`pow1` `distribute-rgt-in` `distribute-lft-in` `add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `diff-log` `pow-prod-down` `pow-exp`

Counts

3 → 81

Calls

3 calls:

2.0ms	(- 0.954929658551372 (* 0.12900613773279798 (pow x 2)))
11.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))))
6.0ms	(* 0.12900613773279798 (pow x 2))

series181.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- 0.954929658551372 (* 0.12900613773279798 (pow x 2)))
96.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (pow x 2))))
24.0ms	(* 0.12900613773279798 (pow x 2))

simplify42.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	259	482
1	1110	419
2	5001	410

prune152.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes19.0ms

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	16	5
1	18	5
2	18	5

end0.0ms

sample418.0ms

Algorithm

intervals

Results

290.0ms

11913×

body

valid