Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

365×

body

valid

simplify189.0ms

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

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

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

series126.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
26.0ms	(* 0.12900613773279798 (* x x))

simplify37.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (31.0ms)

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

prune91.0ms

Filtered

59 candidates to 34 candidates (57.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Merged error: 0b

Counts

61 → 7

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)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

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

series125.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
28.0ms	(* (* 0.12900613773279798 x) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	223	317
1	1111	275
2	5002	268

prune88.0ms

Filtered

58 candidates to 32 candidates (55.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	58	7	65

Merged error: 0b

Counts

65 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b

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

0.2b

(* (sqrt 0.12900613773279798) (* x x))

0.2b

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

6.0ms

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

7.0ms

(* (sqrt 0.12900613773279798) (* x x))

11.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

series296.0ms

Counts

3 → 9

Calls

3 calls:

177.0ms

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

46.0ms

(* (sqrt 0.12900613773279798) (* x x))

73.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	296	671
1	1332	516
2	5002	451

prune164.0ms

Filtered

92 candidates to 57 candidates (62.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	93	6	99

Merged error: 0b

Counts

99 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.12900613773279798 (* x x))
0.3b	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
20.2b	(sqrt (* 0.12900613773279798 (* x x)))
20.2b	(sqrt (* 0.12900613773279798 (* x x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 117

Calls

4 calls:

6.0ms	(* 0.12900613773279798 (* x x))
14.0ms	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
5.0ms	(sqrt (* 0.12900613773279798 (* x x)))
5.0ms	(sqrt (* 0.12900613773279798 (* x x)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* 0.12900613773279798 (* x x))
75.0ms	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
35.0ms	(sqrt (* 0.12900613773279798 (* x x)))
39.0ms	(sqrt (* 0.12900613773279798 (* x x)))

simplify35.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	175	390
1	797	324
2	5001	313

prune185.0ms

Filtered

129 candidates to 63 candidates (48.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	129	6	135

Merged error: 0b

Counts

135 → 6

regimes42.0ms

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

sample396.0ms

Algorithm

intervals

Results

263.0ms

11819×

body

valid