Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

345×

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

prune5.0ms

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))

series90.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (fma x x (* x y)) 2.0)
41.0ms	(fma x x (* x y))

simplify67.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (6.0ms)

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

prune62.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
8.3b	(cbrt (fma x x (* x y)))
8.3b	(cbrt (fma x x (* x y)))
8.3b	(cbrt (fma x x (* x y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
5.0ms	(cbrt (fma x x (* x y)))
1.0ms	(cbrt (fma x x (* x y)))
1.0ms	(cbrt (fma x x (* x y)))

series771.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (fma x x (* x y))) (cbrt (fma x x (* x y))))
186.0ms	(cbrt (fma x x (* x y)))
190.0ms	(cbrt (fma x x (* x y)))
188.0ms	(cbrt (fma x x (* x y)))

simplify132.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 4 (124.0ms)

Iter	Nodes	Cost
0	132	610
1	424	559
2	1512	505
3	4133	500
4	5001	475

prune191.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Merged error: 0.0b

Counts

97 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

7.0ms	(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series120.0ms

Counts

4 → 6

Calls

4 calls:

120.0ms	(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	116	300
1	430	261
2	1912	253
3	5002	253

prune141.0ms

Filtered

66 candidates to 53 candidates (80.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	66	4	70

Merged error: 0b

Counts

70 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fma x x (* x y)) (cbrt 2.0))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

5.0ms	(* (fma x x (* x y)) (cbrt 2.0))
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series83.0ms

Counts

4 → 6

Calls

4 calls:

83.0ms	(* (fma x x (* x y)) (cbrt 2.0))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	97	279
1	345	261
2	2489	249
3	5001	244

prune136.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	69	4	73

Merged error: 0b

Counts

73 → 4

regimes38.0ms

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

sample404.0ms

Algorithm

intervals

Results

231.0ms

11181×

body

valid