Details

sample38.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

15.0ms	88×	body	1280	valid
5.0ms	44×	body	640	valid
4.0ms	170×	body	80	valid
2.0ms	29×	body	320	valid
1.0ms	14×	body	160	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3

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: 31.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(exp (* a x))
4.0b	(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

2.0ms	(exp (* a x))
4.0ms	(- (exp (* a x)) 1.0)

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(exp (* a x))
8.0ms	(- (exp (* a x)) 1.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125

prune54.0ms

Filtered

20 candidates to 30 candidates (-50.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	6	31

Merged error: 8.1b

Counts

31 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

1.9b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
5.9b	(* (* 1/2 (pow a 2)) x)
12.1b	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
15.6b	(* (pow a 3) (pow x 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
28×	`add-exp-log`
18×	`associate-r`
17×	`prod-exp` `unswap-sqr`
16×	`associate-l`
14×	`unpow-prod-down` `cube-prod`
13×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`sqr-pow`
8×	`pow1`
7×	`pow-to-exp` `pow-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `cube-mult` `associate-+l+` `distribute-lft-in` `flip3-+` `unpow3` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 113

Calls

4 calls:

5.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.0ms	(* (* 1/2 (pow a 2)) x)
7.0ms	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
9.0ms	(* (pow a 3) (pow x 3))

series47.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
4.0ms	(* (* 1/2 (pow a 2)) x)
19.0ms	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
10.0ms	(* (pow a 3) (pow x 3))

simplify115.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	471	797
1	2758	737
2	5001	737

prune198.0ms

Filtered

75 candidates to 125 candidates (-66.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	125	6	131

Merged error: 3.1b

Counts

131 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

1.9b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
5.9b	(* (* 1/2 (pow a 2)) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

5.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.0ms	(* (* 1/2 (pow a 2)) x)

series20.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
4.0ms	(* (* 1/2 (pow a 2)) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	237	267
1	1329	235
2	5001	234

prune70.0ms

Filtered

29 candidates to 47 candidates (-62.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Merged error: 0.2b

Counts

53 → 7

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	1	1
Total	7	7

Merged error: 0.2b

Counts

7 → 7

regimes409.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 21.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	17
1	21	17
2	21	17

end0.0ms

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

466.0ms	2693×	body	1280	valid
155.0ms	1337×	body	640	valid
134.0ms	5323×	body	80	valid
59.0ms	729×	body	320	valid
23.0ms	437×	body	160	valid

Details

sample38.0ms

simplify58.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series12.0ms

simplify45.0ms

prune54.0ms

localize16.0ms

rewrite30.0ms

series47.0ms

simplify115.0ms

prune198.0ms

localize7.0ms

rewrite11.0ms

series20.0ms

simplify42.0ms

prune70.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes409.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling