Details

sample111.0ms

Algorithm

intervals

Results

27.0ms	51×	body	1280	valid
23.0ms	333×	body	80	valid
21.0ms	64×	body	640	valid
8.0ms	37×	body	320	valid
3.0ms	20×	body	160	valid

simplify149.0ms

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	144	4
4	278	4
5	531	4
6	1543	4
7	4958	4
8	5001	4

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 16.5b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
16.5b	(/ (* (sin x) (sinh y)) x)

rewrite16.0ms

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:

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

series67.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	263	280
1	1202	235
2	5001	218

prune112.0ms

Filtered

47 candidates to 33 candidates (29.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	6	48

Merged error: 0b

Counts

48 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:

6.0ms	(/ (sinh y) x)
11.0ms	(* (sin x) (/ (sinh y) x))

series57.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (sinh y) x)
33.0ms	(* (sin x) (/ (sinh y) x))

simplify69.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	312	393
1	1238	350
2	5001	332

prune111.0ms

Filtered

66 candidates to 47 candidates (28.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Merged error: 0b

Counts

72 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`sinh-def`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 102

Calls

2 calls:

6.0ms	(/ x (sinh y))
13.0ms	(/ (sin x) (/ x (sinh y)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ x (sinh y))
34.0ms	(/ (sin x) (/ x (sinh y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	456	898
1	1951	849
2	5001	827

prune173.0ms

Filtered

108 candidates to 88 candidates (18.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

11.0ms	(* (/ (sin x) x) (sinh y))
6.0ms	(/ (sin x) x)

series41.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (/ (sin x) x) (sinh y))
7.0ms	(/ (sin x) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	290	387
1	1188	344
2	5002	331

prune95.0ms

Filtered

67 candidates to 50 candidates (25.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	67	5	72

Merged error: 0b

Counts

72 → 5

regimes245.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample3.8s

Algorithm

intervals

Results

994.0ms	1809×	body	1280	valid
839.0ms	10343×	body	80	valid
708.0ms	1957×	body	640	valid
290.0ms	1113×	body	320	valid
114.0ms	608×	body	160	valid

Details

sample111.0ms

simplify149.0ms

prune5.0ms

localize11.0ms

rewrite16.0ms

series67.0ms

simplify58.0ms

prune112.0ms

localize12.0ms

rewrite20.0ms

series57.0ms

simplify69.0ms

prune111.0ms

localize12.0ms

rewrite26.0ms

series73.0ms

simplify88.0ms

prune173.0ms

localize11.0ms

rewrite21.0ms

series41.0ms

simplify60.0ms

prune95.0ms

regimes245.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.8s

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