Details

sample73.0ms

Algorithm

intervals

Results

29.0ms	97×	body	1280	valid
13.0ms	70×	body	640	valid
12.0ms	255×	body	80	valid
5.0ms	35×	body	320	valid
2.0ms	19×	body	160	valid

simplify47.0ms

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 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

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

series191.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(/ (sinh y) y)
102.0ms	(* (sin x) (/ (sinh y) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	316	404
1	1284	360
2	5001	358

prune131.0ms

Filtered

70 candidates to 55 candidates (78.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	2	71

Merged error: 0b

Counts

71 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0b	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

1.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
4.0ms	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
121.0ms	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify111.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	143	289
1	652	247
2	3764	247
3	5001	246

prune86.0ms

Filtered

38 candidates to 27 candidates (71.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0b

Counts

40 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
14.5b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`associate-r/` `div-exp` `associate-l*` `pow-prod-down`
3×	`sinh-def`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

5.0ms	(* (sin x) (sinh y))
10.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series179.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (sin x) (sinh y))
98.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	407	451
1	2045	369
2	5001	338

prune95.0ms

Filtered

69 candidates to 44 candidates (63.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	69	2	71

Merged error: 0b

Counts

71 → 2

regimes44.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample2.3s

Algorithm

intervals

Results

915.0ms	3054×	body	1280	valid
473.0ms	2498×	body	640	valid
373.0ms	8421×	body	80	valid
162.0ms	1207×	body	320	valid
63.0ms	617×	body	160	valid