Details

sample79.0ms

Algorithm

intervals

Results

29.0ms	103×	body	1280	valid
16.0ms	99×	body	640	valid
13.0ms	265×	body	80	valid
5.0ms	47×	body	320	valid
1.0ms	18×	body	160	valid

simplify80.0ms

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 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 40

Calls

2 calls:

7.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)

series153.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(* (cos x) (/ (sinh y) y))
64.0ms	(sinh y)

simplify38.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	272	274
1	1126	241
2	5001	223

prune80.0ms

Filtered

46 candidates to 34 candidates (73.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Merged error: 0b

Counts

47 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (cos x) (sinh y))
0.2b	(/ (* (cos 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)
4.0ms	(* (cos x) (sinh y))
5.0ms	(/ (* (cos x) (sinh y)) y)

series226.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(sinh y)
76.0ms	(* (cos x) (sinh y))
89.0ms	(/ (* (cos x) (sinh y)) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	267	317
1	1179	271
2	5002	253

prune92.0ms

Filtered

58 candidates to 42 candidates (72.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(sinh y)
0.3b	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
0.3b	(pow (* (cos x) (/ (sinh y) y)) 3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`times-frac`
9×	`pow1`
8×	`cbrt-prod`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `associate-r/` `associate-l*` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sinh-def` `cbrt-div` `pow1/3` `*-commutative` `rem-cbrt-cube` `div-inv`

Counts

4 → 83

Calls

4 calls:

7.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)
2.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
6.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

series431.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (cos x) (/ (sinh y) y))
60.0ms	(sinh y)
98.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
187.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

simplify59.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	415	576
1	1935	540
2	5002	523

prune187.0ms

Filtered

95 candidates to 67 candidates (70.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes84.0ms

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

sample2.1s

Algorithm

intervals

Results

819.0ms	2972×	body	1280	valid
419.0ms	2451×	body	640	valid
332.0ms	8437×	body	80	valid
161.0ms	1290×	body	320	valid
52.0ms	642×	body	160	valid