Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

440×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	6
1	37	5
2	46	5
3	46	5

prune5.0ms

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: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (+ (* x 2.0) y))
0.0b	(+ (* y (+ (* x 2.0) y)) (* x x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
8×	`associate-l`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`+-commutative` `associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `associate-+l+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

14.0ms	(* y (+ (* x 2.0) y))
22.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

series66.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* y (+ (* x 2.0) y))
26.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

simplify44.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	218	269
1	1080	249
2	5002	249

prune62.0ms

Filtered

51 candidates to 30 candidates (41.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y y) (* x (+ x (* 2.0 y))))
0.0b	(* x (+ x (* 2.0 y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
8×	`associate-l`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`+-commutative` `associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

20.0ms	(+ (* y y) (* x (+ x (* 2.0 y))))
9.0ms	(* x (+ x (* 2.0 y)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* y y) (* x (+ x (* 2.0 y))))
44.0ms	(* x (+ x (* 2.0 y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	221	270
1	1091	246
2	5002	246

prune63.0ms

Filtered

51 candidates to 31 candidates (39.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	51	4	55

Merged error: 0.0b

Counts

55 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (+ (* x 2.0) y)) (* x x))
0.0b	(+ (* y (+ (* x 2.0) y)) (* x x))
6.1b	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
6.1b	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
16×	`associate-l` `distribute-lft-out`
14×	`sqrt-prod`
8×	`add-sqr-sqrt` `associate-+l+` `add-log-exp`
6×	`pow1` `+-commutative` `add-cube-cbrt`
4×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 76

Calls

4 calls:

23.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
26.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
21.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
22.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
29.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
58.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
62.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify129.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	153	658
1	597	622
2	3070	614
3	5002	604

prune341.0ms

Filtered

88 candidates to 56 candidates (36.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))))
6.1b	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
6.8b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
6.8b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
22×	`cbrt-prod`
19×	`associate-l` `sqrt-prod`
18×	`add-sqr-sqrt`
16×	`distribute-lft-out`
13×	`associate-r`
11×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3-+` `sqrt-div` `flip-+` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-*r/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

30.0ms	(* (fabs (cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))))
21.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
21.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
25.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (fabs (cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (sqrt (cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))))
61.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
146.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
147.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	330	1225
1	1215	1148
2	5002	1134

prune221.0ms

Filtered

97 candidates to 68 candidates (29.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample605.0ms

Algorithm

intervals

Results

386.0ms

14183×

body

valid