Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

392×

body

valid

simplify187.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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	4626	4
8	5002	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))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
29×	`associate-r`
20×	`unswap-sqr`
19×	`*-un-lft-identity`
12×	`difference-of-squares`
11×	`add-cube-cbrt` `associate-l`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`swap-sqr` `*-commutative`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
3×	`sub-neg`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log`

Counts

3 → 89

Calls

3 calls:

12.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
19.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
9.0ms	(* 0.12900613773279798 (* x x))

series185.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
104.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms	(* 0.12900613773279798 (* x x))

simplify49.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	306	457
1	1404	414
2	5001	410

prune114.0ms

Filtered

98 candidates to 56 candidates (57.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	95	5	100

Merged error: 0.0b

Counts

100 → 5

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))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`associate-l`
12×	`add-sqr-sqrt`
9×	`associate-r`
7×	`add-exp-log` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`distribute-rgt-neg-in`
4×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `prod-exp` `unswap-sqr`
2×	`unpow3` `*-commutative` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `neg-mul-1` `distribute-rgt-out` `flip3-+` `unsub-neg` `pow-prod-down` `pow-exp` `sum-log` `cbrt-unprod` `flip-+`

Counts

2 → 55

Calls

2 calls:

22.0ms	(+ (* x 0.954929658551372) (* (- 0.12900613773279798) (pow x 3)))
8.0ms	(* (- 0.12900613773279798) (pow x 3))

series146.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(+ (* x 0.954929658551372) (* (- 0.12900613773279798) (pow x 3)))
44.0ms	(* (- 0.12900613773279798) (pow x 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	227	289
1	1001	268
2	5002	267

prune95.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	60	6	66

Merged error: 0b

Counts

66 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (* (* (* (- 0.12900613773279798) x) x) x))
0.1b	(* (* (* (- 0.12900613773279798) x) x) x)
0.2b	(* (* (- 0.12900613773279798) x) x)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

113×	`associate-l`
40×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
17×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
16×	`associate-r`
14×	`unswap-sqr`
13×	`distribute-lft-out`
11×	`distribute-lft-neg-out`
10×	`*-commutative`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`distribute-rgt-neg-in`
6×	`distribute-lft-neg-in`
5×	`add-log-exp`
2×	`neg-mul-1` `distribute-rgt-out`
1×	`+-commutative` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

3 → 120

Calls

3 calls:

33.0ms	(+ (* x 0.954929658551372) (* (* (* (- 0.12900613773279798) x) x) x))
19.0ms	(* (* (* (- 0.12900613773279798) x) x) x)
10.0ms	(* (* (- 0.12900613773279798) x) x)

series182.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ (* x 0.954929658551372) (* (* (* (- 0.12900613773279798) x) x) x))
40.0ms	(* (* (* (- 0.12900613773279798) x) x) x)
33.0ms	(* (* (- 0.12900613773279798) x) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	361	657
1	1518	548
2	5001	533

prune154.0ms

Filtered

129 candidates to 82 candidates (63.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	130	5	135

Merged error: 0b

Counts

135 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-l`
27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
15×	`add-exp-log`
13×	`unswap-sqr`
12×	`associate-r`
9×	`add-cube-cbrt` `prod-exp` `distribute-lft-out`
7×	`pow1` `add-cbrt-cube`
6×	`distribute-lft-neg-out`
5×	`unpow-prod-down` `distribute-rgt-neg-in`
4×	`*-commutative` `unpow2` `add-log-exp`
3×	`distribute-lft-neg-in` `pow-prod-down` `cbrt-unprod` `sqr-pow`
2×	`pow-to-exp` `pow-exp`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

2 → 77

Calls

2 calls:

31.0ms	(+ (* x 0.954929658551372) (* (* (- 0.12900613773279798) x) (pow x 2)))
16.0ms	(* (* (- 0.12900613773279798) x) (pow x 2))

series150.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(+ (* x 0.954929658551372) (* (* (- 0.12900613773279798) x) (pow x 2)))
45.0ms	(* (* (- 0.12900613773279798) x) (pow x 2))

simplify56.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	326	487
1	1484	419
2	5002	396

prune106.0ms

Filtered

83 candidates to 51 candidates (61.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	83	5	88

Merged error: 0b

Counts

88 → 5

regimes20.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	18	5
2	19	5
3	19	5

end0.0ms

sample392.0ms

Algorithm

intervals

Results

267.0ms

11960×

body

valid