Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample34.0ms

Algorithm

intervals

Results

12.0ms	50×	body	1280	valid
7.0ms	40×	body	640	valid
4.0ms	136×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	11×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5238	10

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 28.2b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

2.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

10.0ms

(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify36.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5219	264

prune50.0ms

Filtered

15 candidates to 17 candidates (-13.3%)

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: 0b

Counts

18 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp -2.0) x)
0.0b	(pow (exp -2.0) x)
0.0b	(pow (exp -2.0) x)
2.8b	(- (pow (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 3) (pow 1.0 3))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
27×	`unpow-prod-down`
24×	`difference-of-squares`
23×	`*-un-lft-identity`
18×	`cube-prod`
13×	`add-cube-cbrt` `sqr-pow`
12×	`pow-pow`
9×	`pow-unpow` `exp-prod`
8×	`times-frac`
7×	`pow1`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube`
3×	`pow-to-exp` `pow-exp`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 101

Calls

4 calls:

3.0ms	(pow (exp -2.0) x)
3.0ms	(pow (exp -2.0) x)
3.0ms	(pow (exp -2.0) x)
33.0ms	(- (pow (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 3) (pow 1.0 3))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (exp -2.0) x)
3.0ms	(pow (exp -2.0) x)
3.0ms	(pow (exp -2.0) x)
17.0ms	(- (pow (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 3) (pow 1.0 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5296	1513

prune334.0ms

Filtered

74 candidates to 113 candidates (-52.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	113	2	115

Merged error: 0b

Counts

115 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 1.0 x) (* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337)))
0.1b	(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `associate--r+` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

2 → 48

Calls

2 calls:

3.0ms	(- (* 1.0 x) (* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337)))
8.0ms	(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(- (* 1.0 x) (* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337)))
8.0ms	(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

simplify50.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5070	688

prune66.0ms

Filtered

37 candidates to 54 candidates (-45.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	54	2	56

Merged error: 0b

Counts

56 → 2

regimes100.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.6b

bsearch37.0ms

Steps

Iters	Range		Point
10	2.5205871433058597e-11	42.45388496613079	0.0006497495419634303
10	-3.344865071909555	-1.2938292598663923e-15	-0.0008270303257426578

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	109	60
1	109	60

end0.0ms

sample1.0s

Algorithm

intervals

Results

424.0ms	1704×	body	1280	valid
213.0ms	1250×	body	640	valid
133.0ms	4059×	body	80	valid
78.0ms	672×	body	320	valid
24.0ms	315×	body	160	valid

Details

analyze2.0ms

sample34.0ms

simplify72.0ms

prune6.0ms

localize10.0ms

rewrite10.0ms

series8.0ms

simplify36.0ms

prune50.0ms

localize18.0ms

rewrite46.0ms

series27.0ms

simplify40.0ms

prune334.0ms

localize8.0ms

rewrite13.0ms

series13.0ms

simplify50.0ms

prune66.0ms

regimes100.0ms

bsearch37.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling