Details

analyze7.0ms

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

sample73.0ms

Algorithm

intervals

Results

39.0ms	106×	body	1280	valid
19.0ms	81×	body	640	valid
5.0ms	40×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	5×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

prune2.0ms

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: 58.7b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

6.7b	(- (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--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 13

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)))

simplify36.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5061	153

prune32.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (+ x (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))))
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

7.0ms	(+ x (+ x (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))))
7.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series14.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify33.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4980	737
1	4980	737

prune108.0ms

Filtered

49 candidates to 81 candidates (-65.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	81	2	83

Merged error: 0b

Counts

83 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

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

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify36.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5112	390

prune83.0ms

Filtered

38 candidates to 62 candidates (-63.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Merged error: 0b

Counts

64 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) (exp (neg x))))
6.7b	(- (exp x) (exp (neg x)))
6.7b	(- (exp x) (exp (neg x)))
6.7b	(- (exp x) (exp (neg x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 54

Calls

4 calls:

7.0ms	(cbrt (- (exp x) (exp (neg x))))
8.0ms	(- (exp x) (exp (neg x)))
8.0ms	(- (exp x) (exp (neg x)))
8.0ms	(- (exp x) (exp (neg x)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- (exp x) (exp (neg x))))
5.0ms	(- (exp x) (exp (neg x)))
5.0ms	(- (exp x) (exp (neg x)))
7.0ms	(- (exp x) (exp (neg x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4993	641
1	4993	641

prune65.0ms

Filtered

50 candidates to 66 candidates (-32.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	2	68

Merged error: 0b

Counts

68 → 2

regimes48.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	17
1	18	17

end0.0ms

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

sample1.8s

Algorithm

intervals

Results

1.0s	3455×	body	1280	valid
463.0ms	2498×	body	640	valid
138.0ms	1166×	body	320	valid
45.0ms	623×	body	160	valid
10.0ms	258×	body	80	valid

Details

analyze7.0ms

sample73.0ms

simplify3.0ms

prune2.0ms

localize10.0ms

rewrite5.0ms

series5.0ms

simplify36.0ms

prune32.0ms

localize10.0ms

rewrite22.0ms

series14.0ms

simplify33.0ms

prune108.0ms

localize10.0ms

rewrite12.0ms

series8.0ms

simplify36.0ms

prune83.0ms

localize17.0ms

rewrite33.0ms

series42.0ms

simplify44.0ms

prune65.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample1.8s

Profiling