Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

447×

body

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (22.0ms)

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: 6.1b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
6.9b	(* x.re (- (* x.im x.im)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

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)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
34.0ms	(* x.re (- (* x.im x.im)))

simplify46.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	242	283
1	1161	255
2	5002	246

prune130.0ms

Filtered

68 candidates to 49 candidates (72.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	59	9	68
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	60	10	70

Merged error: 0.1b

Counts

70 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
0.2b	(* (* x.re (- x.im)) x.im)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

1.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
12.0ms	(* (* x.re (- x.im)) x.im)

series90.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
30.0ms	(* (* x.re (- x.im)) x.im)

simplify37.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	202	265
1	872	240
2	5001	239

prune124.0ms

Filtered

57 candidates to 45 candidates (78.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	6	3	9
Picked	0	1	1
Done	0	0	0
Total	56	11	67

Merged error: 0.0b

Counts

67 → 11

localize11.0ms

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)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

9.0ms	(* (cbrt x.im) (cbrt x.im))
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)

series763.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt x.im) (cbrt x.im))
190.0ms	(cbrt x.im)
183.0ms	(cbrt x.im)
185.0ms	(cbrt x.im)

simplify94.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune232.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	95	12	107

Merged error: 0.0b

Counts

107 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x.re (- x.im))) (cbrt (* x.re (- x.im))))
11.8b	(cbrt (* x.re (- x.im)))
11.8b	(cbrt (* x.re (- x.im)))
11.8b	(cbrt (* x.re (- x.im)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

153×	`cbrt-prod`
96×	`associate-r`
81×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
45×	`associate-l`
43×	`add-cube-cbrt`
26×	`swap-sqr`
23×	`distribute-rgt-neg-in`
22×	`unswap-sqr`
21×	`distribute-lft-neg-in`
11×	`pow1`
9×	`pow1/3`
8×	`*-commutative` `add-cbrt-cube`
7×	`neg-mul-1`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 189

Calls

4 calls:

20.0ms	(* (cbrt (* x.re (- x.im))) (cbrt (* x.re (- x.im))))
5.0ms	(cbrt (* x.re (- x.im)))
5.0ms	(cbrt (* x.re (- x.im)))
6.0ms	(cbrt (* x.re (- x.im)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (* x.re (- x.im))) (cbrt (* x.re (- x.im))))
102.0ms	(cbrt (* x.re (- x.im)))
106.0ms	(cbrt (* x.re (- x.im)))
106.0ms	(cbrt (* x.re (- x.im)))

simplify59.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	370	1580
1	1380	1490
2	5001	1384

prune474.0ms

Filtered

201 candidates to 148 candidates (73.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	201	12	213

Merged error: 0.0b

Counts

213 → 12

regimes129.0ms

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

sample915.0ms

Algorithm

intervals

Results

694.0ms

14321×

body

valid