Details

sample80.0ms

Algorithm

intervals

Results

35.0ms	114×	body	1280	valid
14.0ms	80×	body	640	valid
11.0ms	281×	body	80	valid
4.0ms	31×	body	320	valid
2.0ms	21×	body	160	valid

simplify76.0ms

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 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(* (cos 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×	`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:

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

series249.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
91.0ms	(/ (sinh y) y)
95.0ms	(* (cos x) (/ (sinh y) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	324	427
1	1285	383
2	5001	381

prune140.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (cos x) (sinh y))
0.1b	(/ (* (cos x) (sinh y)) y)

rewrite11.0ms

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:

62.0ms	(sinh y)
72.0ms	(* (cos x) (sinh y))
92.0ms	(/ (* (cos x) (sinh y)) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (31.0ms)

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

prune95.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sqrt (sinh y)) (cos x))
0.1b	(/ (sqrt (sinh y)) y)
0.2b	(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
36×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
25×	`associate-r` `sqrt-prod`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
7×	`associate-l` `prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`sinh-def`
4×	`sqrt-div` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*r/` `clear-num` `associate-/l/`

Counts

4 → 115

Calls

4 calls:

1.0ms	(sinh y)
5.0ms	(* (sqrt (sinh y)) (cos x))
4.0ms	(/ (sqrt (sinh y)) y)
11.0ms	(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

series346.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sinh y)
107.0ms	(* (sqrt (sinh y)) (cos x))
100.0ms	(/ (sqrt (sinh y)) y)
75.0ms	(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	492	980
1	2394	884
2	5001	833

prune242.0ms

Filtered

127 candidates to 88 candidates (69.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	127	3	130

Merged error: 0b

Counts

130 → 3

regimes80.0ms

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

sample2.2s

Algorithm

intervals

Results

893.0ms	3036×	body	1280	valid
438.0ms	2420×	body	640	valid
354.0ms	8656×	body	80	valid
166.0ms	1274×	body	320	valid
52.0ms	590×	body	160	valid