Details

sample3.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.291992%

Guaranteed chance to sample good point: 41.680103%

Results

14.0ms	78×	body	1280	valid
6.0ms	48×	body	640	valid
2.0ms	30×	body	320	valid
2.0ms	87×	body	80	valid
1.0ms	13×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

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: 42.4b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
4.8b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

6.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series8.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (exp x) (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2174	354
3	5003	354

prune75.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0.0b

Counts

58 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

7.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
6.0ms	(+ (* 1/12 x) (/ 1 x))
3.0ms	(* 1/12 x)

series8.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
4.0ms	(+ (* 1/12 x) (/ 1 x))
2.0ms	(* 1/12 x)

simplify103.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	200	216
1	705	204
2	3820	203
3	5002	203

prune51.0ms

Filtered

34 candidates to 52 candidates (-52.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	2	54

Merged error: 0.0b

Counts

54 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
4.8b	(- 1 (/ 1.0 (exp x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

9.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms	(/ 1.0 (exp x))
7.0ms	(- 1 (/ 1.0 (exp x)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms	(/ 1.0 (exp x))
6.0ms	(- 1 (/ 1.0 (exp x)))

simplify37.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	310	722
1	1324	620
2	5001	618

prune82.0ms

Filtered

60 candidates to 106 candidates (-76.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	106	2	108

Merged error: 0.0b

Counts

108 → 2

regimes53.0ms

Accuracy

96% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 21.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample4.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.291992%

Guaranteed chance to sample good point: 41.680103%

Results

389.0ms	2252×	body	1280	valid
184.0ms	1643×	body	640	valid
77.0ms	2902×	body	80	valid
60.0ms	796×	body	320	valid
21.0ms	407×	body	160	valid
0.0ms	2×	body	1280	invalid

Details

sample3.8s

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite12.0ms

series8.0ms

simplify68.0ms

prune75.0ms

localize5.0ms

rewrite17.0ms

series8.0ms

simplify103.0ms

prune51.0ms

localize5.0ms

rewrite23.0ms

series21.0ms

simplify37.0ms

prune82.0ms

regimes53.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.9s

Profiling