Details

sample70.0ms

Algorithm

intervals

Results

25.0ms	93×	body	1280	valid
15.0ms	77×	body	640	valid
11.0ms	285×	body	80	valid
4.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	5001	4

prune2.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(sinh y)
0.0b	(/ (sinh y) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
10×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
7×	`associate-/l*`
6×	`associate-/r*`
5×	`pow1`
3×	`sinh-def` `associate-l` `clear-num` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `un-div-inv` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 79

Calls

3 calls:

8.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)
4.0ms	(/ (sinh y) y)

series257.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(* (cos x) (/ (sinh y) y))
66.0ms	(sinh y)
94.0ms	(/ (sinh y) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	342	467
1	1384	421
2	5001	409

prune142.0ms

Filtered

88 candidates to 67 candidates (76.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	2	89

Merged error: 0b

Counts

89 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sinh y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`sinh-def` `cbrt-div`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt (sinh y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series725.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (sinh y))
184.0ms	(cbrt y)
188.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify67.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	112	192
1	214	178
2	461	170
3	1390	170
4	5002	170

prune148.0ms

Filtered

57 candidates to 49 candidates (86.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	57	2	59

Merged error: 0b

Counts

59 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (/ (cos x) 1/2) (sinh y))
0.1b	(/ (* (/ (cos x) 1/2) (sinh y)) (* y 2))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

416×	`times-frac`
326×	`add-sqr-sqrt`
254×	`associate-l`
208×	`add-cube-cbrt` `*-un-lft-identity`
114×	`associate-r`
52×	`unswap-sqr`
38×	`*-commutative`
35×	`associate-/l*`
29×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
21×	`sinh-def`
19×	`associate-/l/`
18×	`frac-times` `associate-*l/`
15×	`div-inv`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`pow1` `frac-2neg` `clear-num`
3×	`add-log-exp`
2×	`associate-*r/`
1×	`pow-prod-down`

Counts

3 → 410

Calls

3 calls:

1.0ms	(sinh y)
8.0ms	(* (/ (cos x) 1/2) (sinh y))
21.0ms	(/ (* (/ (cos x) 1/2) (sinh y)) (* y 2))

series251.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(sinh y)
86.0ms	(* (/ (cos x) 1/2) (sinh y))
97.0ms	(/ (* (/ (cos x) 1/2) (sinh y)) (* y 2))

simplify85.0ms

Algorithm

egg-herbie

Counts

419 → 419

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1963	4601
1	5001	4454

prune943.0ms

Filtered

419 candidates to 312 candidates (74.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	419	0	419
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	419	2	421

Merged error: 0b

Counts

421 → 2

regimes48.0ms

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	14	16
1	14	16

end0.0ms

sample2.1s

Algorithm

intervals

Results

811.0ms	2895×	body	1280	valid
432.0ms	2521×	body	640	valid
329.0ms	8533×	body	80	valid
147.0ms	1216×	body	320	valid
52.0ms	647×	body	160	valid