Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

331×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	20	3
2	24	3
3	24	3

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

5.0ms

(- (* x.re y.re) (* x.im y.im))

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(- (* x.re y.re) (* x.im y.im))

simplify112.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	105	92
1	362	83
2	1107	83
3	2622	80
4	5001	80

prune78.0ms

Filtered

19 candidates to 16 candidates (84.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x.re y.re (- (* x.im y.im)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x.re y.re (- (* x.im y.im)))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(fma x.re y.re (- (* x.im y.im)))

simplify120.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	55
1	59	48
2	197	48
3	764	48
4	4225	48
5	5001	48

prune34.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y.re x.re) (* y.im x.im))
0.3b	(pow (- (* y.re x.re) (* y.im x.im)) 3)
36.5b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `flip3--` `flip--` `log1p-expm1-u`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `fma-neg` `pow1/3` `diff-log` `prod-diff` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 68

Calls

3 calls:

3.0ms	(- (* y.re x.re) (* y.im x.im))
4.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
4.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

series397.0ms

Counts

3 → 9

Calls

3 calls:

222.0ms	(- (* y.re x.re) (* y.im x.im))
133.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
42.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	270	465
1	1152	434
2	5001	428

prune145.0ms

Filtered

77 candidates to 49 candidates (63.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x.re y.re) (* x.re y.re))
0.3b	(pow (* x.im y.im) 3)
2.3b	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
38.1b	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (fma (* y.im x.im) (fma x.re y.re (* x.im y.im)) (* (* x.re y.re) (* x.re y.re))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

64×	`prod-diff`
56×	`add-sqr-sqrt`
46×	`pow1` `*-un-lft-identity`
38×	`sqr-pow`
36×	`add-cube-cbrt`
27×	`times-frac`
21×	`add-exp-log` `add-cbrt-cube`
20×	`difference-of-squares`
18×	`cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `pow-prod-down`
9×	`prod-exp` `cbrt-unprod` `associate-/l*`
8×	`fma-neg`
6×	`add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`pow-unpow` `associate-/r*`
2×	`flip3--` `pow-pow` `pow-plus` `pow-exp` `flip--` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow2` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 208

Calls

4 calls:

10.0ms	(* (* x.re y.re) (* x.re y.re))
2.0ms	(pow (* x.im y.im) 3)
12.0ms	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
30.0ms	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (fma (* y.im x.im) (fma x.re y.re (* x.im y.im)) (* (* x.re y.re) (* x.re y.re))))

series393.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x.re y.re) (* x.re y.re))
43.0ms	(pow (* x.im y.im) 3)
194.0ms	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
127.0ms	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (fma (* y.im x.im) (fma x.re y.re (* x.im y.im)) (* (* x.re y.re) (* x.re y.re))))

simplify131.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	638	2452
1	2824	2181
2	5001	2181

prune410.0ms

Filtered

220 candidates to 104 candidates (47.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	3
1	14	3
2	14	3

end0.0ms

sample500.0ms

Algorithm

intervals

Results

231.0ms

10435×

body

valid