Details

sample43.0ms

Algorithm

intervals

Results

17.0ms	112×	body	1280	valid
8.0ms	81×	body	640	valid
4.0ms	362×	pre	80	true
2.0ms	37×	body	320	valid
2.0ms	112×	body	80	valid
1.0ms	20×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 58.5b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.0b	(- (exp x) 1.0)

rewrite4.0ms

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 → 14

Calls

1 calls:

4.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify56.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune35.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0.1b

Counts

18 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series80.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify41.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	247	249
1	1230	218
2	5001	215

prune72.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Merged error: 0.1b

Counts

57 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) 1.0))
6.0b	(- (exp x) 1.0)
6.0b	(- (exp x) 1.0)
6.0b	(- (exp x) 1.0)

rewrite17.0ms

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 → 57

Calls

4 calls:

4.0ms	(cbrt (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series143.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (- (exp x) 1.0))
14.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	138	332
1	354	298
2	1056	293
3	5001	293

prune132.0ms

Filtered

69 candidates to 50 candidates (72.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	69	2	71

Merged error: 0.1b

Counts

71 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (pow (exp x) 3) (pow 1.0 3)))
5.9b	(- (pow (exp x) 3) (pow 1.0 3))
6.0b	(- (exp x) 1.0)
6.0b	(- (exp x) 1.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
34×	`difference-of-squares`
29×	`*-un-lft-identity`
25×	`cbrt-prod`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
12×	`distribute-lft-out--`
10×	`add-log-exp`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`sub-neg` `diff-log`
2×	`difference-cubes` `cbrt-div`
1×	`pow1/3`

Counts

4 → 97

Calls

4 calls:

11.0ms	(cbrt (- (pow (exp x) 3) (pow 1.0 3)))
11.0ms	(- (pow (exp x) 3) (pow 1.0 3))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series198.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (- (pow (exp x) 3) (pow 1.0 3)))
37.0ms	(- (pow (exp x) 3) (pow 1.0 3))
17.0ms	(- (exp x) 1.0)
15.0ms	(- (exp x) 1.0)

simplify106.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	281	851
1	715	815
2	3153	803
3	5001	803

prune314.0ms

Filtered

109 candidates to 70 candidates (64.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	108	3	111

Merged error: 0.1b

Counts

111 → 3

regimes61.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

547.0ms	3402×	body	1280	valid
253.0ms	2538×	body	640	valid
131.0ms	11807×	pre	80	true
79.0ms	1234×	body	320	valid
59.0ms	3991×	body	80	valid
26.0ms	642×	body	160	valid

Details

sample43.0ms

simplify5.0ms

prune2.0ms

localize6.0ms

rewrite4.0ms

series15.0ms

simplify56.0ms

prune35.0ms

localize7.0ms

rewrite16.0ms

series80.0ms

simplify41.0ms

prune72.0ms

localize7.0ms

rewrite17.0ms

series143.0ms

simplify45.0ms

prune132.0ms

localize19.0ms

rewrite34.0ms

series198.0ms

simplify106.0ms

prune314.0ms

regimes61.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling