Details

sample75.0ms

Algorithm

intervals

Results

30.0ms	98×	body	1280	valid
13.0ms	72×	body	640	valid
12.0ms	254×	body	80	valid
5.0ms	38×	body	320	valid
2.0ms	19×	body	160	valid

simplify44.0ms

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	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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

4.0ms	(/ (sinh y) y)
7.0ms	(* (sin x) (/ (sinh y) y))
1.0ms	(sinh y)

series258.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (sinh y) y)
110.0ms	(* (sin x) (/ (sinh y) y))
58.0ms	(sinh y)

simplify45.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	348	444
1	1367	399
2	5001	397

prune156.0ms

Filtered

83 candidates to 67 candidates (80.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ y (sinh y)))
0.0b	(* (sin x) (/ 1 (/ y (sinh y))))
0.0b	(sinh y)
0.0b	(/ y (sinh y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 200

Calls

4 calls:

6.0ms	(/ 1 (/ y (sinh y)))
19.0ms	(* (sin x) (/ 1 (/ y (sinh y))))
1.0ms	(sinh y)
4.0ms	(/ y (sinh y))

series335.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ 1 (/ y (sinh y)))
97.0ms	(* (sin x) (/ 1 (/ y (sinh y))))
61.0ms	(sinh y)
90.0ms	(/ y (sinh y))

simplify81.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	727	1455
1	3498	1254
2	5001	1109

prune341.0ms

Filtered

212 candidates to 140 candidates (66.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	211	4	215

Merged error: 0b

Counts

215 → 4

localize25.0ms

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)

rewrite10.0ms

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:

2.0ms	(cbrt (sinh y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series794.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (sinh y))
210.0ms	(cbrt y)
175.0ms	(cbrt y)
226.0ms	(cbrt y)

simplify69.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	117	210
1	224	195
2	487	187
3	1476	187
4	5001	187

prune191.0ms

Filtered

65 candidates to 57 candidates (87.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Merged error: 0b

Counts

69 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
9.4b	(/ (* (sin x) (sinh y)) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (sin x) (sinh y))
10.0ms	(/ (* (sin x) (sinh y)) y)

series248.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
88.0ms	(* (sin x) (sinh y))
101.0ms	(/ (* (sin x) (sinh y)) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	291	340
1	1275	291
2	5001	273

prune106.0ms

Filtered

64 candidates to 48 candidates (75.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0b

Counts

68 → 4

regimes60.0ms

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	11	5
1	11	5

end0.0ms

sample2.6s

Algorithm

intervals

Results

944.0ms	2952×	body	1280	valid
595.0ms	8755×	body	80	valid
491.0ms	2501×	body	640	valid
175.0ms	1228×	body	320	valid
66.0ms	646×	body	160	valid