Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4768	9
1	4768	9

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

Counts

2 → 42

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
6.0ms	(* 0.12900613773279798 (pow x 3))

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
4.0ms	(* 0.12900613773279798 (pow x 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4894	393
1	4894	393

prune70.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.0b

Counts

50 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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

Counts

2 → 33

Calls

2 calls:

4.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
7.0ms	(* (* 0.12900613773279798 x) (* x x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4912	328
1	4912	328

prune42.0ms

Filtered

21 candidates to 39 candidates (-85.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

0.1b

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

0.2b

(* (pow x 3) (sqrt 0.12900613773279798))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-exp-log` `associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `sqrt-prod` `add-cbrt-cube`
8×	`unswap-sqr`
7×	`associate-r`
5×	`pow1` `unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cbrt-unprod`
3×	`sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `flip--`

Counts

3 → 71

Calls

3 calls:

4.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

7.0ms

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

7.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

series30.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

8.0ms

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

6.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

simplify29.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4978	677
1	4978	677

prune108.0ms

Filtered

48 candidates to 80 candidates (-66.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (* 0.954929658551372 x) (* (sqrt (sqrt 0.12900613773279798)) (* (pow x 3) (pow (sqrt 0.12900613773279798) 3/2))))

0.1b

(* (pow x 3) (pow (sqrt 0.12900613773279798) 3/2))

0.2b

(* (sqrt (sqrt 0.12900613773279798)) (* (pow x 3) (pow (sqrt 0.12900613773279798) 3/2)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
36×	`add-sqr-sqrt`
28×	`prod-exp`
21×	`unpow-prod-down` `associate-l`
16×	`sqrt-prod` `unswap-sqr`
12×	`pow-to-exp` `add-cube-cbrt` `*-un-lft-identity` `pow-exp`
11×	`associate-r`
10×	`add-cbrt-cube` `sqr-pow`
7×	`cube-prod`
5×	`pow1` `add-log-exp`
4×	`cbrt-unprod`
2×	`*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `flip--`

Counts

3 → 98

Calls

3 calls:

4.0ms

(- (* 0.954929658551372 x) (* (sqrt (sqrt 0.12900613773279798)) (* (pow x 3) (pow (sqrt 0.12900613773279798) 3/2))))

9.0ms

(* (pow x 3) (pow (sqrt 0.12900613773279798) 3/2))

10.0ms

(* (sqrt (sqrt 0.12900613773279798)) (* (pow x 3) (pow (sqrt 0.12900613773279798) 3/2)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms

(- (* 0.954929658551372 x) (* (sqrt (sqrt 0.12900613773279798)) (* (pow x 3) (pow (sqrt 0.12900613773279798) 3/2))))

14.0ms

(* (pow x 3) (pow (sqrt 0.12900613773279798) 3/2))

9.0ms

(* (sqrt (sqrt 0.12900613773279798)) (* (pow x 3) (pow (sqrt 0.12900613773279798) 3/2)))

simplify38.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5104	1068

prune157.0ms

Filtered

61 candidates to 107 candidates (-75.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

regimes35.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample326.0ms

Algorithm

intervals

Results

231.0ms

8000×

body

valid

Details

analyze4.0ms

sample13.0ms

simplify112.0ms

prune8.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify50.0ms

prune70.0ms

localize6.0ms

rewrite12.0ms

series12.0ms

simplify46.0ms

prune42.0ms

localize8.0ms

rewrite20.0ms

series30.0ms

simplify29.0ms

prune108.0ms

localize13.0ms

rewrite27.0ms

series38.0ms

simplify38.0ms

prune157.0ms

regimes35.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample326.0ms

Profiling