Details

analyze21.0ms

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%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

sample68.0ms

Algorithm

intervals

Results

41.0ms	127×	body	1280	valid
14.0ms	65×	body	640	valid
4.0ms	32×	body	320	valid
2.0ms	17×	body	160	valid
1.0ms	15×	body	80	valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	13

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: 57.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

1.2b	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
4.5b	(- (exp x) (exp (neg x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
7×	`sinh-undef` `cosh-undef` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/l*`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 73

Calls

2 calls:

10.0ms	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms	(- (exp x) (exp (neg x)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms	(- (exp x) (exp (neg x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5474	1261

prune79.0ms

Filtered

56 candidates to 79 candidates (-41.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	2	80

Merged error: 0b

Counts

80 → 2

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `tanh-def-c` `add-cbrt-cube` `tanh-def-b` `add-log-exp` `tanh-def-a`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(tanh x)

simplify32.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5775	79

prune22.0ms

Filtered

11 candidates to 13 candidates (-18.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh x)
1.2b	(/ (sinh x) (cosh x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `sinh-def` `add-log-exp`
1×	`cbrt-undiv` `cosh-def` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `div-inv` `associate-/l/`

Counts

2 → 37

Calls

2 calls:

1.0ms	(sinh x)
4.0ms	(/ (sinh x) (cosh x))

series26.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(sinh x)
18.0ms	(/ (sinh x) (cosh x))

simplify38.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	6219	322

prune43.0ms

Filtered

34 candidates to 43 candidates (-26.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	43	2	45

Merged error: 0b

Counts

45 → 2

regimes24.0ms

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	12	2
1	12	2

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	3313×	body	1280	valid
502.0ms	2430×	body	640	valid
157.0ms	1192×	body	320	valid
52.0ms	637×	body	160	valid
19.0ms	428×	body	80	valid
0.0ms	1×	body	80	overflowed

Details

analyze21.0ms

sample68.0ms

simplify88.0ms

prune3.0ms

localize7.0ms

rewrite17.0ms

series18.0ms

simplify62.0ms

prune79.0ms

localize2.0ms

rewrite1.0ms

series15.0ms

simplify32.0ms

prune22.0ms

localize4.0ms

rewrite6.0ms

series26.0ms

simplify38.0ms

prune43.0ms

regimes24.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling