Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

463×

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

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: 8.1b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
8.2b	(* 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)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
32.0ms	(* x.re (- (* x.im x.im)))

simplify136.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (132.0ms)

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

prune101.0ms

Filtered

40 candidates to 33 candidates (82.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	35	5	40
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	36	6	42

Merged error: 0.1b

Counts

42 → 6

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)

rewrite7.0ms

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))
6.0ms	(* (* x.re (- x.im)) x.im)

series83.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
28.0ms	(* (* x.re (- x.im)) x.im)

simplify32.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (28.0ms)

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

prune84.0ms

Filtered

37 candidates to 27 candidates (73.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	34	9	43

Merged error: 0.0b

Counts

43 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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)

series739.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt x.im) (cbrt x.im))
184.0ms	(cbrt x.im)
176.0ms	(cbrt x.im)
179.0ms	(cbrt x.im)

simplify94.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (88.0ms)

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

prune252.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	91	11	102

Merged error: 0.0b

Counts

102 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
24.5b	(cbrt (* (* x.re (- x.im)) x.im))
24.5b	(cbrt (* (* x.re (- x.im)) x.im))
24.5b	(cbrt (* (* x.re (- x.im)) x.im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

6.0ms	(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
4.0ms	(cbrt (* (* x.re (- x.im)) x.im))
4.0ms	(cbrt (* (* x.re (- x.im)) x.im))
4.0ms	(cbrt (* (* x.re (- x.im)) x.im))

series438.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (* (* x.re (- x.im)) x.im)) (cbrt (* (* x.re (- x.im)) x.im)))
102.0ms	(cbrt (* (* x.re (- x.im)) x.im))
106.0ms	(cbrt (* (* x.re (- x.im)) x.im))
101.0ms	(cbrt (* (* x.re (- x.im)) x.im))

simplify101.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	218	569
1	732	500
2	3403	434
3	5002	428

prune204.0ms

Filtered

78 candidates to 64 candidates (82.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	78	11	89

Merged error: 0.0b

Counts

89 → 11

regimes121.0ms

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

sample883.0ms

Algorithm

intervals

Results

654.0ms

14439×

body

valid