Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

341×

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify71.0ms

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

prune29.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x.re y.re) (* x.re y.re))
0.3b	(* (* x.im y.im) (* x.im y.im))
0.9b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
25.6b	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite37.0ms

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:

9.0ms	(* (* x.re y.re) (* x.re y.re))
6.0ms	(* (* x.im y.im) (* x.im y.im))
6.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
12.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x.re y.re) (* x.re y.re))
28.0ms	(* (* 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)))
72.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify74.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (63.0ms)

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

prune169.0ms

Filtered

129 candidates to 67 candidates (51.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	129	3	132

Merged error: 0b

Counts

132 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x.im y.im) (* x.im y.im))
0.9b	(- (* (pow x.re 2) (pow y.re 2)) (* (* x.im y.im) (* x.im y.im)))
17.0b	(* (pow x.re 2) (pow y.re 2))
25.6b	(/ (- (* (pow x.re 2) (pow y.re 2)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
32×	`add-sqr-sqrt`
30×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow-prod-down`
17×	`prod-exp`
16×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
14×	`unpow-prod-down`
10×	`unpow2` `sqr-pow`
9×	`times-frac` `associate-r` `associate-l` `cbrt-unprod`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow-sqr` `pow-prod-up`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `pow-plus` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `swap-sqr` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 129

Calls

4 calls:

8.0ms	(* (* x.im y.im) (* x.im y.im))
5.0ms	(- (* (pow x.re 2) (pow y.re 2)) (* (* x.im y.im) (* x.im y.im)))
7.0ms	(* (pow x.re 2) (pow y.re 2))
10.0ms	(/ (- (* (pow x.re 2) (pow y.re 2)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x.im y.im) (* x.im y.im))
99.0ms	(- (* (pow x.re 2) (pow y.re 2)) (* (* x.im y.im) (* x.im y.im)))
32.0ms	(* (pow x.re 2) (pow y.re 2))
73.0ms	(/ (- (* (pow x.re 2) (pow y.re 2)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify85.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	475	1069
1	2573	916
2	5001	914

prune257.0ms

Filtered

141 candidates to 78 candidates (55.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	141	3	144

Merged error: 0b

Counts

144 → 3

regimes124.0ms

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

sample472.0ms

Algorithm

intervals

Results

225.0ms

10428×

body

valid