Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	57×	body	1280	valid
6.0ms	59×	body	640	valid
2.0ms	95×	body	80	valid
2.0ms	29×	body	320	valid
2.0ms	90×	body	80	overflowed
1.0ms	16×	body	160	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

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: 40.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
5.7b	(- (exp x) 1.0)

rewrite13.0ms

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:

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

series9.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ (exp x) (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)

simplify37.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4947	576
1	4947	576

prune92.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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 (+ (* x 1/12) (/ 1 x)))
6.0ms	(+ (* x 1/12) (/ 1 x))
4.0ms	(* x 1/12)

series9.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ 1/2 (+ (* x 1/12) (/ 1 x)))
5.0ms	(+ (* x 1/12) (/ 1 x))
2.0ms	(* x 1/12)

simplify58.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4852	420
1	4852	420

prune64.0ms

Filtered

36 candidates to 52 candidates (-44.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	51	4	55

Merged error: 0.0b

Counts

55 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
5.7b	(- 1 (/ 1.0 (exp x)))

rewrite28.0ms

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))))
5.0ms	(/ 1.0 (exp x))
9.0ms	(- 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)))

simplify48.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4894	1135
1	4894	1135

prune115.0ms

Filtered

65 candidates to 106 candidates (-63.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	106	4	110

Merged error: 0.0b

Counts

110 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
5.7b	(- (exp x) 1.0)
5.7b	(- (exp x) 1.0)
5.7b	(- (exp x) 1.0)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

7.0ms	(/ (exp x) (- (exp x) 1.0))
5.0ms	(- (exp x) 1.0)
5.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series13.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (exp x) (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4947	810
1	4947	810

prune158.0ms

Filtered

65 candidates to 91 candidates (-40.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	91	4	95

Merged error: 0.0b

Counts

95 → 4

regimes135.0ms

Accuracy

97.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	40
1	23	40

end0.0ms

sample912.0ms

Algorithm

intervals

Results

342.0ms	2281×	body	1280	valid
168.0ms	1654×	body	640	valid
72.0ms	2838×	body	80	valid
58.0ms	797×	body	320	valid
53.0ms	2502×	body	80	overflowed
21.0ms	431×	body	160	valid

Details

sample31.0ms

simplify2.0ms

prune2.0ms

localize4.0ms

rewrite13.0ms

series9.0ms

simplify37.0ms

prune92.0ms

localize6.0ms

rewrite18.0ms

series9.0ms

simplify58.0ms

prune64.0ms

localize6.0ms

rewrite28.0ms

series21.0ms

simplify48.0ms

prune115.0ms

localize8.0ms

rewrite24.0ms

series13.0ms

simplify40.0ms

prune158.0ms

regimes135.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample912.0ms

Profiling