Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

447×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (19.0ms)

Iter	Nodes	Cost
0	24	9
1	61	9
2	168	8
3	483	6
4	1418	5
5	3857	5
6	5001	5

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 7.6b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
7.9b	(* x.re (- (* x.im x.im)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

1.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
5.0ms	(* x.re (- (* x.im x.im)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
33.0ms	(* x.re (- (* x.im x.im)))

simplify138.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	129	200
1	707	179
2	4464	174
3	5001	173

prune117.0ms

Filtered

40 candidates to 33 candidates (82.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	5	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Merged error: 0.1b

Counts

42 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x.re x.im) (- x.im))
0.2b	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`neg-mul-1` `associate-l` `*-commutative` `distribute-rgt-neg-out` `fma-udef`

Counts

2 → 38

Calls

2 calls:

6.0ms	(* (* x.re x.im) (- x.im))
1.0ms	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))

series86.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (* x.re x.im) (- x.im))
58.0ms	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	186	216
1	1009	190
2	5002	185

prune116.0ms

Filtered

44 candidates to 32 candidates (72.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	42	9	51

Merged error: 0.1b

Counts

51 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x.im)) (cbrt (- x.im)))
0.6b	(cbrt (- x.im))
0.6b	(cbrt (- x.im))
0.6b	(cbrt (- x.im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

78×	`cbrt-prod`
37×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
23×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
15×	`swap-sqr`
13×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
7×	`neg-mul-1`
6×	`add-exp-log`
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 → 125

Calls

4 calls:

10.0ms	(* (cbrt (- x.im)) (cbrt (- x.im)))
2.0ms	(cbrt (- x.im))
2.0ms	(cbrt (- x.im))
2.0ms	(cbrt (- x.im))

series921.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt (- x.im)) (cbrt (- x.im)))
180.0ms	(cbrt (- x.im))
188.0ms	(cbrt (- x.im))
334.0ms	(cbrt (- x.im))

simplify88.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	154	726
1	552	685
2	2895	633
3	5001	611

prune405.0ms

Filtered

137 candidates to 101 candidates (73.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	136	10	146

Merged error: 0.1b

Counts

146 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x.im))
0.6b	(cbrt x.im)
0.6b	(cbrt x.im)
0.6b	(cbrt x.im)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
1×	`neg-mul-1`

Counts

4 → 59

Calls

4 calls:

2.0ms	(cbrt (- x.im))
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
2.0ms	(cbrt x.im)

series717.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (- x.im))
180.0ms	(cbrt x.im)
175.0ms	(cbrt x.im)
175.0ms	(cbrt x.im)

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	72	223
1	154	209
2	367	201
3	1328	201
4	5001	201

prune308.0ms

Filtered

71 candidates to 62 candidates (87.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	5	6
Picked	1	0	1
Done	0	3	3
Total	72	9	81

Merged error: 0.1b

Counts

81 → 9

regimes105.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	16	5
2	22	5
3	22	5

end0.0ms

sample748.0ms

Algorithm

intervals

Results

525.0ms

14341×

body

valid