Details

sample67.0ms

Algorithm

intervals

Results

15.0ms	55×	body	1280	valid
13.0ms	339×	body	80	valid
12.0ms	67×	body	640	valid
4.0ms	36×	body	320	valid
1.0ms	14×	body	160	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	146	4
4	292	4
5	556	4
6	1543	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: 12.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.1b	(/ (* (sin x) (sinh y)) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-r` `associate-l`
12×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `*-commutative` `unswap-sqr`
3×	`expm1-log1p-u` `sinh-def` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 99

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
8.0ms	(/ (* (sin x) (sinh y)) x)

series256.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(sinh y)
88.0ms	(* (sin x) (sinh y))
102.0ms	(/ (* (sin x) (sinh y)) x)

simplify75.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	420	720
1	1760	669
2	5001	654

prune193.0ms

Filtered

108 candidates to 85 candidates (78.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
10×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
7×	`associate-/l*`
6×	`associate-/r*`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `associate-l` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `un-div-inv` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 85

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(/ (sinh y) x)
8.0ms	(* (sin x) (/ (sinh y) x))

series252.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
79.0ms	(/ (sinh y) x)
105.0ms	(* (sin x) (/ (sinh y) x))

simplify57.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	359	488
1	1397	440
2	5002	428

prune161.0ms

Filtered

94 candidates to 72 candidates (76.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	93	6	99

Merged error: 0b

Counts

99 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.5b	(/ (sin x) (/ x (sinh y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
20×	`associate-/r*`
14×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`sinh-def` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

3 → 124

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(/ x (sinh y))
7.0ms	(/ (sin x) (/ x (sinh y)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(sinh y)
114.0ms	(/ x (sinh y))
105.0ms	(/ (sin x) (/ x (sinh y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	493	984
1	2043	931
2	5002	910

prune248.0ms

Filtered

133 candidates to 110 candidates (82.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	130	3	133
Fresh	3	1	4
Picked	1	0	1
Done	1	0	1
Total	135	4	139

Merged error: 0b

Counts

139 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
61×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
34×	`associate-l`
30×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/r*`
18×	`sinh-def`
17×	`distribute-neg-frac`
16×	`frac-times` `associate-*l/`
10×	`add-exp-log` `neg-mul-1` `associate-r` `add-cbrt-cube`
9×	`associate-/l*`
5×	`pow1`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `distribute-rgt-neg-out`

Counts

3 → 162

Calls

3 calls:

1.0ms	(sinh y)
17.0ms	(* (/ (sin x) (- x)) (- (sinh y)))
5.0ms	(/ (sin x) (- x))

series201.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
101.0ms	(* (/ (sin x) (- x)) (- (sinh y)))
33.0ms	(/ (sin x) (- x))

simplify111.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	701	1213
1	3585	1153
2	5001	1107

prune318.0ms

Filtered

171 candidates to 138 candidates (80.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	171	4	175

Merged error: 0b

Counts

175 → 4

regimes57.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	15	6
2	18	6
3	18	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

539.0ms	1813×	body	1280	valid
425.0ms	10252×	body	80	valid
381.0ms	2020×	body	640	valid
171.0ms	1096×	body	320	valid
55.0ms	625×	body	160	valid