Details

sample80.0ms

Algorithm

intervals

Results

31.0ms	98×	body	1280	valid
16.0ms	72×	body	640	valid
12.0ms	254×	body	80	valid
5.0ms	38×	body	320	valid
2.0ms	19×	body	160	valid

simplify80.0ms

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	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	(/ (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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

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

series247.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (sinh y) y)
99.0ms	(* (sin x) (/ (sinh y) y))
63.0ms	(sinh y)

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5001	382

prune150.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Merged error: 0.0b

Counts

78 → 3

localize10.0ms

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))

rewrite36.0ms

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×	`rec-exp` `1-exp` `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 → 192

Calls

4 calls:

7.0ms	(/ 1 (/ y (sinh y)))
16.0ms	(* (sin x) (/ 1 (/ y (sinh y))))
1.0ms	(sinh y)
4.0ms	(/ y (sinh y))

series334.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ 1 (/ y (sinh y)))
98.0ms	(* (sin x) (/ 1 (/ y (sinh y))))
60.0ms	(sinh y)
89.0ms	(/ y (sinh y))

simplify80.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	708	1429
1	3446	1230
2	5001	1085

prune339.0ms

Filtered

204 candidates to 132 candidates (64.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	203	4	207

Merged error: 0b

Counts

207 → 4

localize15.0ms

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)

series689.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (sinh y))
185.0ms	(cbrt y)
171.0ms	(cbrt y)
178.0ms	(cbrt y)

simplify65.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	112	192
1	214	178
2	461	170
3	1394	170
4	5001	170

prune172.0ms

Filtered

57 candidates to 49 candidates (86.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	57	4	61

Merged error: 0b

Counts

61 → 4

localize6.0ms

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)

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×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `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 → 49

Calls

3 calls:

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

series251.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
86.0ms	(* (sin x) (sinh y))
101.0ms	(/ (* (sin x) (sinh y)) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	279	320
1	1233	272
2	5001	255

prune92.0ms

Filtered

58 candidates to 42 candidates (72.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	58	4	62

Merged error: 0b

Counts

62 → 4

regimes63.0ms

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

sample2.3s

Algorithm

intervals

Results

878.0ms	2952×	body	1280	valid
482.0ms	2501×	body	640	valid
390.0ms	8755×	body	80	valid
169.0ms	1228×	body	320	valid
67.0ms	646×	body	160	valid