Details

analyze306.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

sample34.0ms

Algorithm

intervals

Results

17.0ms	78×	body	1280	valid
5.0ms	49×	body	640	valid
2.0ms	97×	body	80	valid
2.0ms	22×	body	320	valid
0.0ms	10×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4826	7
1	4826	7

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: 39.6b

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)

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 → 50

Calls

2 calls:

7.0ms	(/ (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)

simplify46.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4950	574
1	4950	574

prune91.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Merged error: 0b

Counts

57 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x 1/12)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* x 1/12)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(* x 1/12)

simplify38.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4728	88
1	4728	88

prune26.0ms

Filtered

13 candidates to 21 candidates (-61.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Merged error: 0b

Counts

23 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.1b	(- 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 → 96

Calls

3 calls:

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

series19.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ 1.0 (exp x))
9.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms	(- 1 (/ 1.0 (exp x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5043	1130

prune106.0ms

Filtered

65 candidates to 105 candidates (-61.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Merged error: 0b

Counts

107 → 2

regimes54.0ms

Accuracy

96.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	22
1	74	22

end0.0ms

sample844.0ms

Algorithm

intervals

Results

393.0ms	2234×	body	1280	valid
178.0ms	1615×	body	640	valid
72.0ms	2898×	body	80	valid
63.0ms	835×	body	320	valid
21.0ms	418×	body	160	valid
0.0ms	1×	body	1280	invalid

Details

analyze306.0ms

sample34.0ms

simplify74.0ms

prune3.0ms

localize4.0ms

rewrite12.0ms

series8.0ms

simplify46.0ms

prune91.0ms

localize5.0ms

rewrite4.0ms

series2.0ms

simplify38.0ms

prune26.0ms

localize5.0ms

rewrite23.0ms

series19.0ms

simplify54.0ms

prune106.0ms

regimes54.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample844.0ms

Profiling