Details

sample29.0ms

Algorithm

intervals

Results

16.0ms

461×

body

valid

simplify96.0ms

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: 5.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
5.5b	(* x.re (- (* x.im x.im)))

rewrite13.0ms

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:

0.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
12.0ms	(* x.re (- (* x.im x.im)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
30.0ms	(* x.re (- (* x.im x.im)))

simplify139.0ms

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

prune102.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

0.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
20.0ms	(* (* x.re (- x.im)) x.im)

series76.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
26.0ms	(* (* x.re (- x.im)) x.im)

simplify33.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (29.0ms)

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

prune95.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

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))))
13.6b	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
13.6b	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
13.6b	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))

rewrite16.0ms

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:

11.0ms	(* (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)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (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))))
125.0ms	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
130.0ms	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
123.0ms	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))

simplify90.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	161	1053
1	518	960
2	2570	873
3	5001	862

prune270.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

13.6b	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
13.6b	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
13.6b	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
13.6b	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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`

Counts

4 → 52

Calls

4 calls:

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

series516.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
133.0ms	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
126.0ms	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))
131.0ms	(cbrt (fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3)))

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (43.0ms)

Iter	Nodes	Cost
0	79	564
1	164	512
2	443	500
3	1255	488
4	5001	480

prune257.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes130.0ms

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

sample816.0ms

Algorithm

intervals

Results

510.0ms

14418×

body

valid