Details

sample28.0ms

Algorithm

intervals

Results

18.0ms

452×

body

valid

simplify94.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
7.5b	(* 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:

54.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
28.0ms	(* x.re (- (* x.im x.im)))

simplify138.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (134.0ms)

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

prune108.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

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:

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

series82.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))
32.0ms	(* (* x.re x.im) (- x.im))

simplify39.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	186	216
1	1009	190
2	5001	185

prune111.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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:

5.0ms	(* (cbrt x.im) (cbrt x.im))
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)

series742.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt x.im) (cbrt x.im))
187.0ms	(cbrt x.im)
177.0ms	(cbrt x.im)
180.0ms	(cbrt x.im)

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

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

prune271.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))))
15.3b	(cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))
15.3b	(cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))
15.3b	(cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))

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:

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

series545.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))) (cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3))))
137.0ms	(cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))
144.0ms	(cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))
143.0ms	(cbrt (fma 3 (* (* x.re x.im) (- x.im)) (pow x.re 3)))

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	161	1053
1	519	960
2	2579	873
3	5001	862

prune252.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes106.0ms

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

sample709.0ms

Algorithm

intervals

Results

497.0ms

14374×

body

valid