Details

analyze4.0ms

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

sample59.0ms

Algorithm

intervals

Results

31.0ms	99×	body	1280	valid
16.0ms	90×	body	640	valid
4.0ms	33×	body	320	valid
2.0ms	27×	body	160	valid
0.0ms	7×	body	80	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

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: 58.3b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (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)))

simplify67.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4847	155
1	4847	155

prune27.0ms

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: 0b

Counts

18 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ x (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))))
0.0b	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
16×	`*-un-lft-identity`
15×	`add-log-exp`
14×	`add-exp-log`
11×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`sum-log` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
3×	`distribute-lft-out`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+r+` `unpow3`

Counts

4 → 83

Calls

4 calls:

9.0ms	(+ x (+ x (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))))
5.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series29.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ x (+ x (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))))
14.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
4.0ms	(* 1/60 (pow x 5))
4.0ms	(* 1/3 (pow x 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5019	938

prune136.0ms

Filtered

59 candidates to 95 candidates (-61.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	1	96

Merged error: 0b

Counts

96 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	17
1	19	17

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	3322×	body	1280	valid
486.0ms	2498×	body	640	valid
151.0ms	1242×	body	320	valid
49.0ms	652×	body	160	valid
11.0ms	286×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze4.0ms

sample59.0ms

simplify47.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series5.0ms

simplify67.0ms

prune27.0ms

localize10.0ms

rewrite28.0ms

series29.0ms

simplify53.0ms

prune136.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling