Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

sample63.0ms

Algorithm

intervals

Results

35.0ms	115×	body	1280	valid
15.0ms	76×	body	640	valid
4.0ms	36×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	7×	body	80	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5032	8

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: 58.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.7b	(- (exp x) (exp (neg x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `sinh-undef` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

5.0ms

(- (exp x) (exp (neg x)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(- (exp x) (exp (neg x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4847	155
1	4847	155

prune24.0ms

Filtered

13 candidates to 17 candidates (-30.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	1	18

Merged error: 0.0b

Counts

18 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b

(sinh x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `sinh-def` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh x)

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(sinh x)

simplify35.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5343	61

prune17.0ms

Filtered

10 candidates to 11 candidates (-10.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	2	12

Merged error: 0b

Counts

12 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sinh x)) (cbrt (sinh x)))
0.7b	(cbrt (sinh x))
0.7b	(cbrt (sinh x))
0.7b	(cbrt (sinh x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
7×	`sinh-def` `cbrt-div`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 79

Calls

4 calls:

6.0ms	(* (cbrt (sinh x)) (cbrt (sinh x)))
1.0ms	(cbrt (sinh x))
1.0ms	(cbrt (sinh x))
1.0ms	(cbrt (sinh x))

series123.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (cbrt (sinh x)) (cbrt (sinh x)))
28.0ms	(cbrt (sinh x))
28.0ms	(cbrt (sinh x))
31.0ms	(cbrt (sinh x))

simplify59.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5163	621

prune81.0ms

Filtered

65 candidates to 91 candidates (-40.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	2	93

Merged error: 0b

Counts

93 → 2

regimes25.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	3302×	body	1280	valid
531.0ms	2491×	body	640	valid
177.0ms	1259×	body	320	valid
56.0ms	670×	body	160	valid
11.0ms	278×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze5.0ms

sample63.0ms

simplify47.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series5.0ms

simplify66.0ms

prune24.0ms

localize4.0ms

rewrite1.0ms

series9.0ms

simplify35.0ms

prune17.0ms

localize8.0ms

rewrite12.0ms

series123.0ms

simplify59.0ms

prune81.0ms

regimes25.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling