Details

analyze362.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

sample82.0ms

Algorithm

intervals

Results

16.0ms	52×	body	1280	invalid
14.0ms	40×	body	1280	valid
9.0ms	42×	body	640	valid
7.0ms	144×	body	80	valid
6.0ms	32×	body	640	invalid
4.0ms	26×	body	320	invalid
4.0ms	70×	body	80	invalid
3.0ms	18×	body	320	valid
1.0ms	12×	body	160	valid
0.0ms	3×	body	160	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

prune3.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

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

series36.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(/ (sinh y) y)
24.0ms	(* (sin x) (/ (sinh y) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	6120	560

prune67.0ms

Filtered

51 candidates to 66 candidates (-29.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	3	67

Merged error: 0b

Counts

67 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
48×	`add-sqr-sqrt`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
32×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-div`
4×	`rem-sqrt-square` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 118

Calls

4 calls:

9.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
3.0ms	(sqrt (/ (sinh y) y))
6.0ms	(sqrt (/ (sinh y) y))
13.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
24.0ms	(sqrt (/ (sinh y) y))
21.0ms	(sqrt (/ (sinh y) y))
42.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5029	2160

prune157.0ms

Filtered

99 candidates to 130 candidates (-31.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

133 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
13.5b	(/ (* (sin x) (sinh y)) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

5.0ms	(* (sin x) (sinh y))
6.0ms	(/ (* (sin x) (sinh y)) y)

series42.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (sin x) (sinh y))
23.0ms	(/ (* (sin x) (sinh y)) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4944	358
1	4944	358

prune40.0ms

Filtered

33 candidates to 47 candidates (-42.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	47	3	50

Merged error: 0b

Counts

50 → 3

regimes213.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample2.5s

Algorithm

intervals

Results

515.0ms	1480×	body	1280	valid
483.0ms	1488×	body	1280	invalid
279.0ms	1270×	body	640	valid
276.0ms	1272×	body	640	invalid
231.0ms	4321×	body	80	valid
132.0ms	2402×	body	80	invalid
105.0ms	675×	body	320	invalid
93.0ms	628×	body	320	valid
34.0ms	314×	body	160	invalid
31.0ms	301×	body	160	valid

Details

analyze362.0ms

sample82.0ms

simplify49.0ms

prune3.0ms

localize7.0ms

rewrite14.0ms

series36.0ms

simplify65.0ms

prune67.0ms

localize10.0ms

rewrite37.0ms

series135.0ms

simplify87.0ms

prune157.0ms

localize8.0ms

rewrite12.0ms

series42.0ms

simplify54.0ms

prune40.0ms

regimes213.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

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