Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

337×

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))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify73.0ms

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

prune28.0ms

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))))
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)))

rewrite25.0ms

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)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
114.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
113.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
112.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify101.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	310	1067
1	1065	1000
2	4162	924
3	5001	915

prune236.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

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

series457.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
112.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
114.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
114.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify93.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (87.0ms)

Iter	Nodes	Cost
0	180	576
1	498	540
2	1453	516
3	3389	512
4	5001	504

prune220.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
2.5b	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
2.9b	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
36.0b	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

9.0ms	(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
7.0ms	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
7.0ms	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
20.0ms	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

series463.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
193.0ms	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
52.0ms	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
133.0ms	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

simplify128.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	554	1992
1	3250	1869
2	5001	1864

prune316.0ms

Filtered

121 candidates to 92 candidates (76.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	121	4	125

Merged error: 0b

Counts

125 → 4

regimes152.0ms

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

sample514.0ms

Algorithm

intervals

Results

271.0ms

10480×

body

valid