Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

345×

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 (100.0%)

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))

rewrite16.0ms

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:

16.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify74.0ms

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

prune35.0ms

Filtered

23 candidates to 17 candidates (26.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Merged error: 0.0b

Counts

24 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x.re y.re) (* x.re y.re))
0.2b	(* (* x.im y.im) (* x.im y.im))
2.1b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
26.5b	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite397.0ms

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:

12.0ms	(* (* x.re y.re) (* x.re y.re))
12.0ms	(* (* x.im y.im) (* x.im y.im))
96.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
132.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x.re y.re) (* x.re y.re))
30.0ms	(* (* x.im y.im) (* x.im y.im))
101.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
81.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify200.0ms

Algorithm

egg-herbie

Counts

1172 → 1172

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1329	16157
1	5002	16063

prune439.0ms

Filtered

1172 candidates to 183 candidates (84.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	1170	2	1172
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	1171	3	1174

Merged error: 0.0b

Counts

1174 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x.re)
1.9b	(* (* (cbrt x.re) (cbrt x.re)) (* (* (cbrt x.re) y.re) (* x.re y.re)))
2.1b	(- (* (* (cbrt x.re) (cbrt x.re)) (* (* (cbrt x.re) y.re) (* x.re y.re))) (* (* x.im y.im) (* x.im y.im)))
26.5b	(/ (- (* (* (cbrt x.re) (cbrt x.re)) (* (* (cbrt x.re) y.re) (* x.re y.re))) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

33903×	`add-sqr-sqrt`
22836×	`unswap-sqr`
5673×	`*-un-lft-identity`
5184×	`difference-of-squares`
4945×	`cbrt-prod`
4144×	`times-frac`
2664×	`associate-l`
2378×	`swap-sqr`
2372×	`distribute-lft-out`
1155×	`*-commutative`
623×	`add-cube-cbrt`
592×	`associate-/l*`
131×	`add-cbrt-cube`
128×	`cbrt-unprod`
117×	`distribute-lft-out--`
63×	`associate-r`
47×	`add-exp-log`
45×	`pow1`
31×	`pow-prod-down` `prod-exp`
7×	`associate-/r*`
6×	`add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `pow1/3` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 5564

Calls

4 calls:

1.0ms	(cbrt x.re)
44.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* (* (cbrt x.re) y.re) (* x.re y.re)))
281.0ms	(- (* (* (cbrt x.re) (cbrt x.re)) (* (* (cbrt x.re) y.re) (* x.re y.re))) (* (* x.im y.im) (* x.im y.im)))
450.0ms	(/ (- (* (* (cbrt x.re) (cbrt x.re)) (* (* (cbrt x.re) y.re) (* x.re y.re))) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt x.re)
55.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* (* (cbrt x.re) y.re) (* x.re y.re)))
134.0ms	(- (* (* (cbrt x.re) (cbrt x.re)) (* (* (cbrt x.re) y.re) (* x.re y.re))) (* (* x.im y.im) (* x.im y.im)))
115.0ms	(/ (- (* (* (cbrt x.re) (cbrt x.re)) (* (* (cbrt x.re) y.re) (* x.re y.re))) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify1.6s

Algorithm

egg-herbie

Counts

5576 → 5576

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5001	188360

prune5.5s

Filtered

5576 candidates to 1161 candidates (79.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	5576	0	5576
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	5576	3	5579

Merged error: 0.0b

Counts

5579 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt x.im) (sqrt y.im))
0.1b	(* (sqrt x.im) (sqrt y.im))
0.1b	(* (* (sqrt x.im) (sqrt y.im)) (* (sqrt x.im) (sqrt y.im)))
1.7b	(/ (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

342×	`add-sqr-sqrt`
216×	`*-un-lft-identity`
145×	`unswap-sqr`
143×	`associate-l`
128×	`sqrt-prod`
77×	`times-frac`
67×	`pow1`
61×	`associate-r`
52×	`add-cube-cbrt`
48×	`distribute-lft-out`
41×	`pow-prod-down`
39×	`swap-sqr`
32×	`distribute-lft-out--` `difference-of-squares`
22×	`add-exp-log` `add-cbrt-cube`
20×	`sqrt-pow1` `pow1/2`
11×	`associate-/r*`
10×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-up`
7×	`sqrt-unprod` `-commutative` `associate-/l`
6×	`pow-sqr`
4×	`add-log-exp`
2×	`pow-plus` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `rem-square-sqrt` `flip--` `flip-+` `div-inv`

Counts

4 → 318

Calls

4 calls:

6.0ms	(* (sqrt x.im) (sqrt y.im))
6.0ms	(* (sqrt x.im) (sqrt y.im))
23.0ms	(* (* (sqrt x.im) (sqrt y.im)) (* (sqrt x.im) (sqrt y.im)))
30.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (sqrt x.im) (sqrt y.im))
60.0ms	(* (sqrt x.im) (sqrt y.im))
27.0ms	(* (* (sqrt x.im) (sqrt y.im)) (* (sqrt x.im) (sqrt y.im)))
41.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))

simplify150.0ms

Algorithm

egg-herbie

Counts

330 → 330

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	630	2578
1	4149	2397
2	5001	2386

prune386.0ms

Filtered

330 candidates to 135 candidates (59.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	330	0	330
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	330	3	333

Merged error: 0.0b

Counts

333 → 3

regimes131.0ms

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

sample483.0ms

Algorithm

intervals

Results

230.0ms

10503×

body

valid