Details

sample33.0ms

Algorithm

intervals

Results

18.0ms

350×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	3
1	41	3
2	72	3
3	81	3
4	81	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (fma x x (* x y)) 2.0)
0.0b	(fma x x (* x y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

3.0ms	(* (fma x x (* x y)) 2.0)
1.0ms	(fma x x (* x y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (fma x x (* x y)) 2.0)
38.0ms	(fma x x (* x y))

simplify61.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	151
1	328	132
2	2448	132
3	5001	132

prune50.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Merged error: 0.0b

Counts

37 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* x y))
0.4b	(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))
0.5b	(* (fma x x (* x y)) (sqrt 2.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 57

Calls

3 calls:

1.0ms	(fma x x (* x y))
6.0ms	(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))
5.0ms	(* (fma x x (* x y)) (sqrt 2.0))

series217.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(fma x x (* x y))
104.0ms	(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))
74.0ms	(* (fma x x (* x y)) (sqrt 2.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	173	375
1	871	319
2	5002	312

prune99.0ms

Filtered

66 candidates to 41 candidates (62.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	66	2	68

Merged error: 0b

Counts

68 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (* x y))
0.2b	(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b	(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
0.5b	(* (fma x x (* x y)) (sqrt 2.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1` `add-exp-log`
23×	`add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-r`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`cbrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`fma-udef`

Counts

4 → 93

Calls

4 calls:

1.0ms	(fma x x (* x y))
11.0ms	(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
15.0ms	(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
5.0ms	(* (fma x x (* x y)) (sqrt 2.0))

series604.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma x x (* x y))
379.0ms	(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
111.0ms	(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
79.0ms	(* (fma x x (* x y)) (sqrt 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	313	1093
1	1650	858
2	5001	778

prune165.0ms

Filtered

105 candidates to 58 candidates (55.2%)

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

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample486.0ms

Algorithm

intervals

Results

307.0ms

11063×

body

valid