Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

341×

body

valid

simplify6.0ms

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))

rewrite9.0ms

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:

8.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify77.0ms

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

prune30.0ms

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))))
0.9b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.9b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.9b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite75.0ms

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:

52.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
9.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series538.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
130.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
129.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
132.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify101.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (88.0ms)

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

prune251.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.9b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.9b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.9b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite26.0ms

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:

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

series527.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
132.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
131.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
133.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify94.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (88.0ms)

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

prune248.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x.re y.re) (* x.re y.re))
0.3b	(* (* x.im y.im) (* x.im y.im))
1.6b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
27.8b	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 117

Calls

4 calls:

28.0ms	(* (* x.re y.re) (* x.re y.re))
30.0ms	(* (* x.im y.im) (* x.im y.im))
32.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
84.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x.re y.re) (* x.re y.re))
32.0ms	(* (* x.im y.im) (* x.im y.im))
111.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
91.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify75.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	419	968
1	2372	848
2	5003	847

prune194.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes145.0ms

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

sample584.0ms

Algorithm

intervals

Results

216.0ms

10480×

body

valid