Details

sample109.0ms

Algorithm

intervals

Results

41.0ms	96×	body	1280	valid
22.0ms	66×	body	640	valid
16.0ms	252×	body	80	valid
8.0ms	41×	body	320	valid
4.0ms	26×	body	160	valid

simplify46.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series246.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (sinh y) y)
61.0ms	(sinh y)
100.0ms	(* (sin x) (/ (sinh y) y))

simplify41.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (35.0ms)

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

prune154.0ms

Filtered

83 candidates to 67 candidates (80.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0b

Counts

84 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
4.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
4.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
4.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

345.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
238.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
214.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
209.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	316	788
1	1109	704
2	5002	617

prune209.0ms

Filtered

84 candidates to 69 candidates (82.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sinh y))
0.7b	(cbrt (sinh y))
0.7b	(cbrt (sinh y))
8.4b	(* (* (* (cbrt (sinh y)) (cbrt (sinh y))) (sin x)) (/ (cbrt (sinh y)) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
11×	`sinh-def` `cbrt-div` `associate-*l/`
6×	`pow-prod-down`
5×	`frac-times`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `associate-*r/` `div-exp`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 97

Calls

4 calls:

1.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))
15.0ms	(* (* (* (cbrt (sinh y)) (cbrt (sinh y))) (sin x)) (/ (cbrt (sinh y)) y))

series605.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (sinh y))
195.0ms	(cbrt (sinh y))
166.0ms	(cbrt (sinh y))
83.0ms	(* (* (* (cbrt (sinh y)) (cbrt (sinh y))) (sin x)) (/ (cbrt (sinh y)) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	514	1075
1	2510	907
2	5001	837

prune452.0ms

Filtered

109 candidates to 85 candidates (78.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.5b	(/ (* (sin x) (sinh y)) y)

rewrite12.0ms

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

series255.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
87.0ms	(* (sin x) (sinh y))
104.0ms	(/ (* (sin x) (sinh y)) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (38.0ms)

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

prune105.0ms

Filtered

64 candidates to 48 candidates (75.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	64	5	69

Merged error: 0b

Counts

69 → 5

regimes112.0ms

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	7	4
1	7	4

end0.0ms

sample2.4s

Algorithm

intervals

Results

971.0ms	3078×	body	1280	valid
480.0ms	2450×	body	640	valid
386.0ms	8624×	body	80	valid
189.0ms	1290×	body	320	valid
62.0ms	643×	body	160	valid