Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

460×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

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

prune6.0ms

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: 8.1b

Counts

2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
8.1b	(* 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)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
28.0ms	(* x.re (- (* x.im x.im)))

simplify140.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (136.0ms)

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

prune103.0ms

Filtered

40 candidates to 33 candidates (82.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	33	7	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	9	42

Merged error: 0.1b

Counts

42 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
0.1b	(* (* x.re (- x.im)) x.im)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

1.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
10.0ms	(* (* x.re (- x.im)) x.im)

series79.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
29.0ms	(* (* x.re (- x.im)) x.im)

simplify39.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	151	193
1	780	168
2	5001	167

prune84.0ms

Filtered

37 candidates to 27 candidates (73.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	36	10	46

Merged error: 0.1b

Counts

46 → 10

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)

rewrite11.0ms

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

series735.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt x.im) (cbrt x.im))
175.0ms	(cbrt x.im)
181.0ms	(cbrt x.im)
178.0ms	(cbrt x.im)

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune255.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	2	5	7
Picked	0	1	1
Done	1	1	2
Total	92	11	103

Merged error: 0.0b

Counts

103 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x.im)
0.6b	(cbrt x.im)
0.6b	(cbrt (cbrt x.im))
0.9b	(pow (cbrt (cbrt x.im)) 4)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
2.0ms	(cbrt (cbrt x.im))
4.0ms	(pow (cbrt (cbrt x.im)) 4)

series895.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt x.im)
173.0ms	(cbrt x.im)
241.0ms	(cbrt (cbrt x.im))
300.0ms	(pow (cbrt (cbrt x.im)) 4)

simplify77.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	162	311
1	491	291
2	1774	272
3	5001	266

prune246.0ms

Filtered

80 candidates to 60 candidates (75.0%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	78	13	91

Merged error: 0.0b

Counts

91 → 13

regimes153.0ms

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	20	5
2	23	5
3	23	5

end0.0ms

sample745.0ms

Algorithm

intervals

Results

521.0ms

14379×

body

valid