Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

326×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	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.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))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify115.0ms

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

prune27.0ms

Filtered

14 candidates to 12 candidates (85.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y.re x.im) (* y.im x.re))
0.3b	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
32.9b	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

3.0ms	(+ (* y.re x.im) (* y.im x.re))
4.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
4.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

series190.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* y.re x.im) (* y.im x.re))
124.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
33.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	258	431
1	1250	408
2	5001	402

prune101.0ms

Filtered

68 candidates to 41 candidates (60.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	3	70

Merged error: 0.0b

Counts

70 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))
0.4b	(* (cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))) (cbrt (+ (* y.re x.im) (* y.im x.re))))
1.2b	(cbrt (+ (* y.re x.im) (* y.im x.re)))
23.5b	(cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
40×	`flip3-+` `flip-+`
36×	`frac-times`
20×	`add-sqr-sqrt`
18×	`associate-*l/`
13×	`pow1` `cbrt-prod`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1/3` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 118

Calls

4 calls:

8.0ms	(* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))
10.0ms	(* (cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))) (cbrt (+ (* y.re x.im) (* y.im x.re))))
3.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))
7.0ms	(cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))
33.0ms	(* (cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))) (cbrt (+ (* y.re x.im) (* y.im x.re))))
101.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))
122.0ms	(cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re))))

simplify85.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	548	2128
1	2084	2023
2	5001	1960

prune306.0ms

Filtered

130 candidates to 94 candidates (72.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Merged error: 0.0b

Counts

133 → 3

regimes117.0ms

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

sample449.0ms

Algorithm

intervals

Results

216.0ms

10351×

body

valid