Details

sample63.0ms

Algorithm

intervals

Results

26.0ms	78×	body	1280	valid
12.0ms	57×	body	640	valid
3.0ms	21×	body	320	valid
3.0ms	89×	body	80	valid
3.0ms	84×	body	80	overflowed
1.0ms	11×	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

Filtered

1 candidates to 0 candidates (100.0%)

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: 41.5b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.1b	(- (exp x) 1.0)

rewrite18.0ms

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:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify94.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (18.0ms)

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

prune71.0ms

Filtered

57 candidates to 41 candidates (28.1%)

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: 0b

Counts

58 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

9.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
5.0ms	(* 1/12 x)

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
3.0ms	(* 1/12 x)

simplify83.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	148	149
1	534	137
2	2215	137
3	5001	137

prune42.0ms

Filtered

38 candidates to 24 candidates (36.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0b

Counts

40 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
3.1b	(- 1 (/ 1.0 (exp x)))

rewrite25.0ms

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:

8.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms	(/ 1.0 (exp x))
8.0ms	(- 1 (/ 1.0 (exp x)))

series28.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms	(/ 1.0 (exp x))
5.0ms	(- 1 (/ 1.0 (exp x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (40.0ms)

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

prune111.0ms

Filtered

106 candidates to 60 candidates (43.4%)

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: 0b

Counts

108 → 2

regimes88.0ms

Accuracy

96.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.4b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

559.0ms	2217×	body	1280	valid
273.0ms	1676×	body	640	valid
89.0ms	844×	body	320	valid
81.0ms	2856×	body	80	valid
69.0ms	2576×	body	80	overflowed
28.0ms	408×	body	160	valid

Details

sample63.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite18.0ms

series15.0ms

simplify94.0ms

prune71.0ms

localize5.0ms

rewrite16.0ms

series7.0ms

simplify83.0ms

prune42.0ms

localize11.0ms

rewrite25.0ms

series28.0ms

simplify52.0ms

prune111.0ms

regimes88.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample1.3s

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