Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

322×

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
4×	`associate-l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 20

Calls

1 calls:

13.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	111	138
1	277	131
2	750	131
3	1758	131
4	5001	131

prune34.0ms

Filtered

23 candidates to 17 candidates (73.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Merged error: 0.0b

Counts

24 → 3

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))))
2.1b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.1b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.1b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
121×	`cbrt-prod`
107×	`add-sqr-sqrt`
74×	`associate-l`
60×	`distribute-lft-out--`
34×	`swap-sqr`
32×	`unswap-sqr`
28×	`difference-of-squares`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`associate-r`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 158

Calls

4 calls:

34.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
13.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
13.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
16.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
125.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
121.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
122.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify115.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	371	1924
1	1233	1834
2	4871	1555
3	5002	1549

prune289.0ms

Filtered

170 candidates to 99 candidates (58.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	170	3	173

Merged error: 0.0b

Counts

173 → 3

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))
2.0b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
23.7b	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite445.0ms

Algorithm

rewrite-expression-head

Rules

3264×	`add-sqr-sqrt`
1772×	`*-un-lft-identity`
1644×	`unswap-sqr`
942×	`associate-l`
763×	`times-frac`
729×	`difference-of-squares`
640×	`swap-sqr`
440×	`distribute-lft-out`
225×	`distribute-lft-out--`
172×	`*-commutative`
146×	`add-cube-cbrt`
109×	`associate-/l*`
82×	`pow1`
48×	`associate-r`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
8×	`pow-sqr` `pow-prod-up`
7×	`associate-/r*`
6×	`add-log-exp`
4×	`pow-plus`
2×	`pow2` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 1160

Calls

4 calls:

15.0ms	(* (* x.re y.re) (* x.re y.re))
13.0ms	(* (* x.im y.im) (* x.im y.im))
108.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
156.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x.re y.re) (* x.re y.re))
35.0ms	(* (* x.im y.im) (* x.im y.im))
109.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
89.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify424.0ms

Algorithm

egg-herbie

Counts

1172 → 1172

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1329	16157
1	5002	16063

prune456.0ms

Filtered

1172 candidates to 183 candidates (15.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1171	1	1172
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	1171	4	1175

Merged error: 0b

Counts

1175 → 4

localize11.0ms

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))
2.0b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
23.9b	(* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (+ (* x.re y.re) (* x.im y.im))))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

777×	`add-sqr-sqrt`
387×	`unswap-sqr`
285×	`associate-l`
268×	`*-un-lft-identity`
164×	`swap-sqr`
162×	`difference-of-squares`
84×	`pow1`
75×	`associate-r`
50×	`distribute-lft-out--`
47×	`*-commutative`
46×	`add-cube-cbrt`
37×	`add-exp-log`
35×	`pow-prod-down`
33×	`add-cbrt-cube`
26×	`frac-times`
24×	`distribute-lft-out`
23×	`times-frac`
21×	`associate-/r*`
20×	`prod-exp`
18×	`cbrt-unprod`
15×	`flip3--` `flip--`
13×	`associate-*r/`
10×	`associate-/l*`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
4×	`pow-plus` `clear-num`
3×	`frac-2neg` `un-div-inv`
2×	`pow2` `div-exp` `associate-*l/` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3-+` `diff-log` `1-exp` `flip-+` `div-inv`

Counts

4 → 462

Calls

4 calls:

15.0ms	(* (* x.re y.re) (* x.re y.re))
13.0ms	(* (* x.im y.im) (* x.im y.im))
107.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
174.0ms	(* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (+ (* x.re y.re) (* x.im y.im))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x.re y.re) (* x.re y.re))
36.0ms	(* (* x.im y.im) (* x.im y.im))
109.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
86.0ms	(* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (+ (* x.re y.re) (* x.im y.im))))

simplify85.0ms

Algorithm

egg-herbie

Counts

474 → 474

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1157	4439
1	5001	4262

prune448.0ms

Filtered

474 candidates to 174 candidates (36.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	474	0	474
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	474	4	478

Merged error: 0b

Counts

478 → 4

regimes139.0ms

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

sample475.0ms

Algorithm

intervals

Results

226.0ms

10359×

body

valid