Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

384×

body

valid

simplify191.0ms

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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize5.0ms

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

rewrite16.0ms

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:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
5.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
5.0ms	(* 0.12900613773279798 (* x x))

series188.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
106.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms	(* 0.12900613773279798 (* x x))

simplify41.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (34.0ms)

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

prune110.0ms

Filtered

82 candidates to 51 candidates (62.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	78	6	84

Merged error: 0b

Counts

84 → 6

localize7.0ms

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))

rewrite12.0ms

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:

4.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
6.0ms	(* 0.12900613773279798 (pow x 3))

series140.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
40.0ms	(* 0.12900613773279798 (pow x 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (38.0ms)

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

prune89.0ms

Filtered

57 candidates to 37 candidates (64.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	57	6	63

Merged error: 0b

Counts

63 → 6

localize10.0ms

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

rewrite16.0ms

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:

3.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
5.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
5.0ms	(* (* 0.12900613773279798 x) x)

series188.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
100.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
26.0ms	(* (* 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

prune92.0ms

Filtered

81 candidates to 49 candidates (60.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	81	6	87

Merged error: 0b

Counts

87 → 6

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))

rewrite31.0ms

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:

6.0ms	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
5.0ms	(* (sqrt 0.12900613773279798) x)
5.0ms	(* (sqrt 0.12900613773279798) x)
12.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

series342.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
47.0ms	(* (sqrt 0.12900613773279798) x)
41.0ms	(* (sqrt 0.12900613773279798) x)
77.0ms	(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (42.0ms)

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

prune146.0ms

Filtered

129 candidates to 71 candidates (55.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	129	6	135

Merged error: 0b

Counts

135 → 6

regimes21.0ms

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

sample455.0ms

Algorithm

intervals

Results

327.0ms

11926×

body

valid