Details

sample40.0ms

Algorithm

intervals

Results

15.0ms	87×	body	1280	valid
9.0ms	83×	body	10240	exit
5.0ms	49×	body	640	valid
2.0ms	87×	body	80	valid
2.0ms	23×	body	320	valid
0.0ms	10×	body	160	valid

simplify6.0ms

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: 42.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
2.5b	(- (exp x) 1.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-neg` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 67

Calls

2 calls:

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

series46.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify194.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (187.0ms)

Iter	Nodes	Cost
0	237	520
1	786	429
2	4651	416
3	5001	404

prune157.0ms

Filtered

73 candidates to 50 candidates (68.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma 1/12 x (/ 1 x)) 1/2)
0.1b	(fma 1/12 x (/ 1 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

3.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
1.0ms	(fma 1/12 x (/ 1 x))

series64.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
49.0ms	(fma 1/12 x (/ 1 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	90	126
1	306	119
2	1283	117
3	5001	116

prune70.0ms

Filtered

34 candidates to 26 candidates (76.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
2.5b	(- 1 (/ 1.0 (exp x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
70×	`times-frac`
59×	`add-cube-cbrt`
39×	`prod-diff`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`div-inv` `distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 145

Calls

3 calls:

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

series105.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ 1.0 (exp x))
48.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
39.0ms	(- 1 (/ 1.0 (exp x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	552	1839
1	2298	1281
2	5001	1188

prune196.0ms

Filtered

154 candidates to 73 candidates (47.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	155	5	160

Merged error: 0.0b

Counts

160 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow x 3) 0.16666666666666666 (- (* 1.0 x) (* 0.5 (pow x 2))))
0.0b	(/ 1 (fma (pow x 3) 0.16666666666666666 (- (* 1.0 x) (* 0.5 (pow x 2)))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log`
4×	`add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `fma-udef` `div-inv` `inv-pow`

Counts

2 → 43

Calls

2 calls:

1.0ms	(fma (pow x 3) 0.16666666666666666 (- (* 1.0 x) (* 0.5 (pow x 2))))
3.0ms	(/ 1 (fma (pow x 3) 0.16666666666666666 (- (* 1.0 x) (* 0.5 (pow x 2)))))

series93.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma (pow x 3) 0.16666666666666666 (- (* 1.0 x) (* 0.5 (pow x 2))))
59.0ms	(/ 1 (fma (pow x 3) 0.16666666666666666 (- (* 1.0 x) (* 0.5 (pow x 2)))))

simplify119.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	169	494
1	641	445
2	3326	431
3	5002	420

prune105.0ms

Filtered

49 candidates to 31 candidates (63.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

regimes66.0ms

Accuracy

91.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 7.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

395.0ms	2308×	body	1280	valid
289.0ms	2640×	body	10240	exit
174.0ms	1612×	body	640	valid
55.0ms	2871×	body	80	valid
55.0ms	783×	body	320	valid
19.0ms	427×	body	160	valid