Details

sample43.0ms

Algorithm

intervals

Results

16.0ms	76×	body	1280	valid
9.0ms	82×	body	10240	exit
6.0ms	55×	body	640	valid
2.0ms	92×	body	80	valid
1.0ms	15×	body	320	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 40.4b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
4.6b	(- (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×	`add-exp-log` `associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `div-exp` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

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

series47.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	179	381
1	550	361
2	2143	359
3	5001	359

prune100.0ms

Filtered

58 candidates to 41 candidates (70.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Merged error: 0.0b

Counts

59 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b	(+ (* 1/12 x) (/ 1 x))
0.4b	(* 1/12 x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

14.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
12.0ms	(+ (* 1/12 x) (/ 1 x))
3.0ms	(* 1/12 x)

series74.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
45.0ms	(+ (* 1/12 x) (/ 1 x))
14.0ms	(* 1/12 x)

simplify100.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	195	246
1	678	235
2	3530	234
3	5001	234

prune73.0ms

Filtered

61 candidates to 35 candidates (57.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0.0b

Counts

64 → 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))
4.6b	(- 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*`
10×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `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 → 98

Calls

3 calls:

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

series106.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
13.0ms	(/ 1.0 (exp x))
42.0ms	(- 1 (/ 1.0 (exp x)))

simplify39.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	308	725
1	1314	624
2	5001	623

prune128.0ms

Filtered

107 candidates to 61 candidates (57.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))
4.6b	(- 1 (/ 1.0 (exp x)))
4.6b	(- 1 (/ 1.0 (exp x)))
4.6b	(- 1 (/ 1.0 (exp x)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
40×	`cbrt-prod`
28×	`difference-of-squares`
14×	`times-frac`
13×	`swap-sqr`
12×	`add-cube-cbrt` `cbrt-div`
11×	`pow1` `associate-r` `associate-l`
10×	`add-log-exp`
9×	`flip3--` `flip--` `distribute-lft-out--`
8×	`add-cbrt-cube`
6×	`add-exp-log` `pow1/3`
4×	`frac-times` `cbrt-unprod` `unswap-sqr`
3×	`sub-neg` `diff-log`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 119

Calls

4 calls:

19.0ms	(* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))
7.0ms	(- 1 (/ 1.0 (exp x)))
7.0ms	(- 1 (/ 1.0 (exp x)))
7.0ms	(- 1 (/ 1.0 (exp x)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))
43.0ms	(- 1 (/ 1.0 (exp x)))
36.0ms	(- 1 (/ 1.0 (exp x)))
38.0ms	(- 1 (/ 1.0 (exp x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	297	1326
1	1073	1188
2	5001	1078

prune230.0ms

Filtered

131 candidates to 81 candidates (61.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	131	5	136

Merged error: 0.0b

Counts

136 → 5

regimes66.0ms

Accuracy

97.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 20.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

sample1.2s

Algorithm

intervals

Results

395.0ms	2185×	body	1280	valid
285.0ms	2540×	body	10240	exit
186.0ms	1692×	body	640	valid
65.0ms	874×	body	320	valid
59.0ms	2795×	body	80	valid
22.0ms	455×	body	160	valid