Details

sample28.0ms

Algorithm

intervals

Results

21.0ms

389×

body

valid

simplify188.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

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

series118.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
24.0ms	(* 0.12900613773279798 (* x x))

simplify35.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	225	321
1	1006	278
2	5001	267

prune87.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
0.3b	(* (sqrt 0.12900613773279798) x)
0.3b	(* (sqrt 0.12900613773279798) x)
0.3b	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
25×	`add-sqr-sqrt`
22×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
16×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-r` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
4×	`expm1-log1p-u` `pow-sqr` `*-commutative` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `pow-plus` `associate-*r/`
1×	`pow2` `flip3--` `swap-sqr` `flip--` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

8.0ms	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
8.0ms	(* (sqrt 0.12900613773279798) x)
4.0ms	(* (sqrt 0.12900613773279798) x)
16.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

series321.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
43.0ms	(* (sqrt 0.12900613773279798) x)
39.0ms	(* (sqrt 0.12900613773279798) x)
71.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	272	697
1	1361	566
2	5001	509

prune197.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))
0.5b	(* 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`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

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

series135.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	201	239
1	854	218
2	5001	217

prune102.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

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` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `prod-diff` `*-commutative` `flip--`

Counts

2 → 40

Calls

2 calls:

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

series134.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(- (* x 0.954929658551372) (* (* 0.12900613773279798 x) (* x x)))
35.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify135.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	207	252
1	869	207
2	4720	197
3	5001	196

prune68.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes16.0ms

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	9	4
1	9	4

end0.0ms

sample772.0ms

Algorithm

intervals

Results

641.0ms

12035×

body

valid