Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

351×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	3

prune1.0ms

Filtered

1 candidates to 0 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 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* x y) (- 1.0 y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (* x y) (- 1.0 y))

simplify30.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	167	140
1	840	114
2	5002	114

prune41.0ms

Filtered

29 candidates to 15 candidates (51.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	24	5	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b	(* (* x y) (- y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
1×	`+-commutative` `neg-mul-1` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 40

Calls

2 calls:

5.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
6.0ms	(* (* x y) (- y))

series109.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
34.0ms	(* (* x y) (- y))

simplify56.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	242	241
1	1458	200
2	5002	195

prune76.0ms

Filtered

46 candidates to 31 candidates (67.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Merged error: 0.0b

Counts

51 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y)) (cbrt (- y)))
0.6b	(cbrt (- y))
0.6b	(cbrt (- y))
0.6b	(cbrt (- y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

78×	`cbrt-prod`
37×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
23×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
15×	`swap-sqr`
13×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
7×	`neg-mul-1`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

12.0ms	(* (cbrt (- y)) (cbrt (- y)))
2.0ms	(cbrt (- y))
2.0ms	(cbrt (- y))
2.0ms	(cbrt (- y))

series764.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt (- y)) (cbrt (- y)))
183.0ms	(cbrt (- y))
185.0ms	(cbrt (- y))
182.0ms	(cbrt (- y))

simplify84.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	150	696
1	547	655
2	2885	603
3	5002	581

prune300.0ms

Filtered

129 candidates to 93 candidates (72.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	129	5	134

Merged error: 0.0b

Counts

134 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (- (* (cbrt y) (cbrt y))))
0.6b	(cbrt (cbrt y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (- (* (cbrt y) (cbrt y))))
2.0ms	(cbrt (cbrt y))

series1.0s

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
303.0ms	(cbrt y)
307.0ms	(cbrt (- (* (cbrt y) (cbrt y))))
244.0ms	(cbrt (cbrt y))

simplify100.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (96.0ms)

Iter	Nodes	Cost
0	109	277
1	228	255
2	702	247
3	2895	247
4	5001	241

prune212.0ms

Filtered

62 candidates to 52 candidates (83.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	62	5	67

Merged error: 0.0b

Counts

67 → 5

regimes39.0ms

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	6
1	18	6
2	24	6
3	24	6

end0.0ms

sample367.0ms

Algorithm

intervals

Results

198.0ms

10665×

body

valid