Details

sample66.0ms

Algorithm

intervals

Results

25.0ms	93×	body	1280	valid
12.0ms	77×	body	640	valid
11.0ms	285×	body	80	valid
4.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	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

localize6.0ms

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×	`expm1-log1p-u` `sinh-def` `associate-l` `clear-num` `log1p-expm1-u` `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 → 85

Calls

3 calls:

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

series250.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(* (cos x) (/ (sinh y) y))
63.0ms	(sinh y)
92.0ms	(/ (sinh y) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	357	483
1	1425	436
2	5001	424

prune148.0ms

Filtered

94 candidates to 73 candidates (77.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	2	95

Merged error: 0b

Counts

95 → 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` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`sinh-def` `cbrt-div`

Counts

4 → 53

Calls

4 calls:

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

series708.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (sinh y))
185.0ms	(cbrt y)
183.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify67.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	117	210
1	224	195
2	487	187
3	1472	187
4	5002	187

prune171.0ms

Filtered

65 candidates to 57 candidates (87.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	2	67

Merged error: 0b

Counts

67 → 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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/`
1×	`pow-prod-down`

Counts

3 → 416

Calls

3 calls:

1.0ms	(sinh y)
8.0ms	(* (/ (cos x) 1/2) (sinh y))
20.0ms	(/ (* (/ (cos x) 1/2) (sinh y)) (* y 2))

series240.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(sinh y)
80.0ms	(* (/ (cos x) 1/2) (sinh y))
94.0ms	(/ (* (/ (cos x) 1/2) (sinh y)) (* y 2))

simplify91.0ms

Algorithm

egg-herbie

Counts

425 → 425

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1974	4593
1	5002	4467

prune752.0ms

Filtered

425 candidates to 318 candidates (74.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	425	0	425
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	425	2	427

Merged error: 0b

Counts

427 → 2

regimes41.0ms

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

801.0ms	2895×	body	1280	valid
422.0ms	2521×	body	640	valid
330.0ms	8533×	body	80	valid
141.0ms	1216×	body	320	valid
51.0ms	647×	body	160	valid