Details

sample62.0ms

Algorithm

intervals

Results

17.0ms	63×	body	1280	valid
15.0ms	85×	body	640	valid
12.0ms	323×	body	80	valid
3.0ms	25×	body	320	valid
2.0ms	20×	body	160	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	144	4
4	278	4
5	517	4
6	1455	4
7	5002	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: 14.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.0b	(/ (* (sin x) (sinh y)) x)

rewrite16.0ms

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)
8.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series257.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(sinh y)
80.0ms	(* (sin x) (sinh y))
120.0ms	(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	280	320
1	1233	272
2	5001	255

prune115.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	49	9	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
0.4b	(* (sin x) (/ (sinh y) x))

rewrite16.0ms

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)
3.0ms	(/ (sinh y) x)
7.0ms	(* (sin x) (/ (sinh y) x))

series216.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
67.0ms	(/ (sinh y) x)
90.0ms	(* (sin x) (/ (sinh y) x))

simplify40.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	328	433
1	1261	387
2	5001	385

prune146.0ms

Filtered

77 candidates to 57 candidates (74.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	77	9	86

Merged error: 0b

Counts

86 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sinh y) (/ 1 x))
0.4b	(* (sin x) (* (sinh y) (/ 1 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
14×	`associate-r`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-r/` `associate-l*`
5×	`sinh-def`
4×	`div-exp` `pow-prod-down`
3×	`add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `un-div-inv` `-commutative`
1×	`div-inv`

Counts

3 → 72

Calls

3 calls:

1.0ms	(sinh y)
7.0ms	(* (sinh y) (/ 1 x))
8.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
72.0ms	(* (sinh y) (/ 1 x))
94.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	407	464
1	1555	379
2	5002	334

prune129.0ms

Filtered

81 candidates to 54 candidates (66.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	82	8	90

Merged error: 0b

Counts

90 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
0.1b	(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
0.2b	(* (sin x) (/ 1 x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-exp-log`
59×	`add-cbrt-cube`
50×	`prod-exp`
28×	`cbrt-unprod`
21×	`add-sqr-sqrt` `div-exp`
18×	`pow1`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac` `associate-r`
13×	`associate-*r/`
12×	`cbrt-undiv`
9×	`pow-prod-down`
7×	`sinh-def`
5×	`rec-exp` `1-exp` `un-div-inv` `associate-/l/`
4×	`frac-times` `associate-l` `associate-*l/` `add-log-exp`
3×	`associate-/r*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 119

Calls

4 calls:

1.0ms	(sinh y)
12.0ms	(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
10.0ms	(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
8.0ms	(* (sin x) (/ 1 x))

series272.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sinh y)
91.0ms	(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
96.0ms	(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
28.0ms	(* (sin x) (/ 1 x))

simplify86.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	649	955
1	3415	688
2	5001	654

prune178.0ms

Filtered

131 candidates to 78 candidates (59.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	131	8	139

Merged error: 0b

Counts

139 → 8

regimes84.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

533.0ms	1833×	body	1280	valid
421.0ms	10464×	body	80	valid
371.0ms	1963×	body	640	valid
134.0ms	1071×	body	320	valid
57.0ms	597×	body	160	valid