Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	6

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: 3.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
70.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify126.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	246	428
1	870	393
2	3756	390
3	5001	387

prune119.0ms

Filtered

53 candidates to 43 candidates (81.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp z) y)
0.0b	(fma (/ (exp z) y) 1.1283791670955126 (- x))
0.1b	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

8.0ms	(/ (exp z) y)
1.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
4.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ (exp z) y)
48.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
68.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

simplify108.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	262	527
1	851	479
2	3499	463
3	5001	461

prune158.0ms

Filtered

81 candidates to 57 candidates (70.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
7.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

4 → 94

Calls

4 calls:

5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
66.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
71.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify128.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	246	856
1	870	786
2	3756	780
3	5001	774

prune278.0ms

Filtered

106 candidates to 86 candidates (81.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Merged error: 0b

Counts

109 → 3

regimes120.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample494.0ms

Algorithm

intervals

Results

319.0ms

8000×

body

valid