Details

sample61.0ms

Algorithm

intervals

Results

17.0ms	60×	body	1280	valid
13.0ms	324×	body	80	valid
11.0ms	61×	body	640	valid
5.0ms	38×	body	320	valid
2.0ms	26×	body	160	valid

simplify54.0ms

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: 12.3b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
12.3b	(/ (* (sin x) (sinh y)) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 89

Calls

2 calls:

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

series181.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* (sin x) (sinh y))
96.0ms	(/ (* (sin x) (sinh y)) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	400	676
1	1729	630
2	5001	615

prune221.0ms

Filtered

95 candidates to 73 candidates (76.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	91	4	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	5	96

Merged error: 0b

Counts

96 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

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

series115.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* (sinh y) (/ (sin x) x))
28.0ms	(/ (sin x) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	347	518
1	1512	474
2	5001	445

prune189.0ms

Filtered

89 candidates to 64 candidates (71.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 110

Calls

2 calls:

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

series118.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ (sinh y) (/ x (sin x)))
33.0ms	(/ x (sin x))

simplify62.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	447	890
1	1885	842
2	5001	840

prune274.0ms

Filtered

116 candidates to 95 candidates (81.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	116	5	121

Merged error: 0b

Counts

121 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
3.1b	(/ (/ (* (sin x) (sinh y)) (* (cbrt x) (cbrt x))) (cbrt x))
9.1b	(/ (* (sin x) (sinh y)) (* (cbrt x) (cbrt x)))

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

4560×	`times-frac`
3427×	`add-sqr-sqrt`
2561×	`cbrt-prod`
2207×	`add-cube-cbrt` `*-un-lft-identity`
1242×	`associate-r` `associate-l`
610×	`unswap-sqr`
588×	`swap-sqr`
352×	`associate-/l*`
316×	`*-commutative`
92×	`add-cbrt-cube`
60×	`associate-/r*`
52×	`cbrt-undiv`
45×	`associate-/l/`
39×	`cbrt-unprod`
34×	`add-exp-log`
13×	`div-exp`
9×	`div-inv`
8×	`prod-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`sinh-def` `pow1/3` `associate-*r/`

Counts

4 → 2800

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
107.0ms	(/ (/ (* (sin x) (sinh y)) (* (cbrt x) (cbrt x))) (cbrt x))
22.0ms	(/ (* (sin x) (sinh y)) (* (cbrt x) (cbrt x)))

series720.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
186.0ms	(cbrt x)
136.0ms	(/ (/ (* (sin x) (sinh y)) (* (cbrt x) (cbrt x))) (cbrt x))
217.0ms	(/ (* (sin x) (sinh y)) (* (cbrt x) (cbrt x)))

simplify428.0ms

Algorithm

egg-herbie

Counts

2812 → 2812

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5001	49275

prune6.8s

Filtered

2812 candidates to 1752 candidates (62.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	2812	0	2812
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	2812	5	2817

Merged error: 0b

Counts

2817 → 5

regimes85.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample1.8s

Algorithm

intervals

Results

496.0ms	1729×	body	1280	valid
422.0ms	10248×	body	80	valid
358.0ms	1885×	body	640	valid
137.0ms	1058×	body	320	valid
51.0ms	574×	body	160	valid