Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

343×

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))

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))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify70.0ms

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

prune27.0ms

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:

0.5b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
0.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(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)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
107.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
107.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
112.0ms	(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	999
2	4357	923
3	5001	917

prune224.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 0b

Counts

102 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(cbrt (+ (* x.re y.re) (* x.im y.im)))
1.8b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
26.0b	(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

rewrite20.0ms

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` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

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:

111.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
100.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))
99.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
110.0ms	(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

simplify52.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	365	679
1	1331	620
2	5001	599

prune235.0ms

Filtered

65 candidates to 58 candidates (89.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (- (* x.re y.re) (* x.im y.im)))
0.5b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
0.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`flip3--` `flip--`
8×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod`
2×	`sqrt-div` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 89

Calls

4 calls:

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

series431.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
122.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
109.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
115.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify47.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	385	1057
1	1354	987
2	5002	915

prune274.0ms

Filtered

101 candidates to 75 candidates (74.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	101	5	106

Merged error: 0b

Counts

106 → 5

regimes169.0ms

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

sample541.0ms

Algorithm

intervals

Results

279.0ms

10527×

body

valid

Details

sample19.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite3.0ms

series37.0ms

simplify70.0ms

prune27.0ms

localize9.0ms

rewrite22.0ms

series448.0ms

simplify100.0ms

prune224.0ms

localize22.0ms

rewrite20.0ms

series420.0ms

simplify52.0ms

prune235.0ms

localize13.0ms

rewrite23.0ms

series431.0ms

simplify47.0ms

prune274.0ms

regimes169.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample541.0ms

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