Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

362×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	74	3
3	112	3
4	123	3
5	127	3
6	127	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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	292	436
1	1402	284
2	5001	272

prune54.0ms

Filtered

49 candidates to 19 candidates (38.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	41	8	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	8	50

Merged error: 0.0b

Counts

50 → 8

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`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 45

Calls

2 calls:

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

series107.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
31.0ms	(* (* x y) (- y))

simplify59.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	252	263
1	1522	222
2	5002	217

prune86.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	51	8	59

Merged error: 0.0b

Counts

59 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
11.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt (- 1.0 y))
88.0ms	(cbrt (- 1.0 y))
87.0ms	(cbrt (- 1.0 y))
228.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify144.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	328	874
1	1077	836
2	4703	779
3	5001	778

prune258.0ms

Filtered

121 candidates to 89 candidates (73.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.3b	(pow (cbrt (cbrt (- 1.0 y))) 4)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt` `unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
6.0ms	(pow (cbrt (cbrt (- 1.0 y))) 4)

series409.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (- 1.0 y))
86.0ms	(cbrt (- 1.0 y))
84.0ms	(cbrt (- 1.0 y))
147.0ms	(pow (cbrt (cbrt (- 1.0 y))) 4)

simplify136.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	385	648
1	1209	622
2	4506	591
3	5001	587

prune276.0ms

Filtered

91 candidates to 73 candidates (80.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

regimes52.0ms

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

sample358.0ms

Algorithm

intervals

Results

193.0ms

10575×

body

valid