Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

331×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

3.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
2.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
110.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
108.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
113.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify100.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	310	1067
1	1065	1000
2	4162	924
3	5001	915

prune258.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series440.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
108.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
110.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
113.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify97.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (91.0ms)

Iter	Nodes	Cost
0	180	576
1	498	540
2	1453	516
3	3389	512
4	5001	504

prune242.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.9b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
28.9b	(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`pow1/3`
2×	`difference-of-squares`
1×	`sub-neg` `diff-log`

Counts

4 → 53

Calls

4 calls:

3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
6.0ms	(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
107.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
96.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
108.0ms	(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

simplify46.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	313	683
1	1191	624
2	5002	603

prune247.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

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	9	3
1	9	3

end0.0ms

sample468.0ms

Algorithm

intervals

Results

226.0ms

10467×

body

valid