Details

analyze555.0ms

Algorithm: search

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	30×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

prune4.0ms

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify118.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	100	74
1	363	67
2	1051	67
3	2931	67
4	5001	67

prune26.0ms

Filtered

12 candidates to 14 candidates (-16.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.7b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.7b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.7b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite24.0ms

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:

12.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
38.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
35.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
36.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify101.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	312	1087
1	1063	1022
2	4259	952
3	5001	933

prune109.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.7b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.9b	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
28.5b	(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

rewrite21.0ms

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

Counts

4 → 53

Calls

4 calls:

3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
8.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
6.0ms	(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
38.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
30.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
43.0ms	(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

simplify48.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	315	695
1	1188	639
2	5002	622

prune90.0ms

Filtered

58 candidates to 65 candidates (-12.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	65	3	68

Merged error: 0b

Counts

68 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
1.7b	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
2.1b	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
39.4b	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `flip3-+` `flip-+`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

4 → 91

Calls

4 calls:

8.0ms	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
7.0ms	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
7.0ms	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
16.0ms	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

series141.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
16.0ms	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
45.0ms	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
51.0ms	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

simplify115.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	436	1484
1	2568	1353
2	5002	1348

prune139.0ms

Filtered

71 candidates to 103 candidates (-45.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes392.0ms

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	10	3
1	10	3

end0.0ms

analyze742.0ms

Algorithm: search

sample492.0ms

Algorithm

intervals

Results

225.0ms	8000×	body	80	valid
35.0ms	1340×	body	80	invalid

Details

analyze555.0ms

sample22.0ms

simplify3.0ms

prune4.0ms

localize5.0ms

rewrite4.0ms

series10.0ms

simplify118.0ms

prune26.0ms

localize10.0ms

rewrite24.0ms

series157.0ms

simplify101.0ms

prune109.0ms

localize18.0ms

rewrite21.0ms

series146.0ms

simplify48.0ms

prune90.0ms

localize15.0ms

rewrite40.0ms

series141.0ms

simplify115.0ms

prune139.0ms

regimes392.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze742.0ms

sample492.0ms

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