Details

sample73.0ms

Algorithm

intervals

Results

29.0ms	97×	body	1280	valid
13.0ms	70×	body	640	valid
11.0ms	255×	body	80	valid
5.0ms	35×	body	320	valid
2.0ms	19×	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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`sinh-def` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 60

Calls

2 calls:

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

series185.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ (sinh y) y)
99.0ms	(* (sin x) (/ (sinh y) y))

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	305	390
1	1248	347
2	5001	337

prune117.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	2	67

Merged error: 0b

Counts

67 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
0.0b	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
0.1b	(* 1/120 (pow y 4))
0.1b	(* 1/6 (pow y 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`associate-l` `add-log-exp`
8×	`unpow-prod-down` `unswap-sqr`
7×	`prod-exp`
6×	`pow1`
4×	`sqr-pow`
3×	`sum-log` `*-commutative` `cbrt-unprod`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `unpow2`
1×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down`

Counts

4 → 87

Calls

4 calls:

8.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
10.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
5.0ms	(* 1/120 (pow y 4))
5.0ms	(* 1/6 (pow y 2))

series219.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
114.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
34.0ms	(* 1/120 (pow y 4))
28.0ms	(* 1/6 (pow y 2))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	408	619
1	1874	548
2	5002	548

prune197.0ms

Filtered

99 candidates to 63 candidates (63.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Merged error: 0b

Counts

101 → 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))

rewrite15.0ms

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` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 59

Calls

2 calls:

4.0ms	(* (sin x) (sinh y))
9.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series183.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (sin x) (sinh y))
101.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	399	431
1	2011	350
2	5001	320

prune88.0ms

Filtered

65 candidates to 40 candidates (61.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	65	2	67

Merged error: 0b

Counts

67 → 2

regimes42.0ms

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	22	8
1	22	8

end0.0ms

sample2.3s

Algorithm

intervals

Results

927.0ms	3054×	body	1280	valid
492.0ms	2498×	body	640	valid
366.0ms	8421×	body	80	valid
162.0ms	1207×	body	320	valid
57.0ms	617×	body	160	valid