Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify3.0ms

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

localize9.0ms

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))

simplify123.0ms

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

prune35.0ms

Filtered

14 candidates to 12 candidates (85.7%)

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.4b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.4b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.4b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

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.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)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
100.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
100.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
102.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify91.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	314	1055
1	1028	988
2	3721	912
3	5003	903

prune246.0ms

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: 0.0b

Counts

102 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

1.4b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.4b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.4b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.4b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite207.0ms

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.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)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
113.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
104.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
121.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify88.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (81.0ms)

Iter	Nodes	Cost
0	179	560
1	465	524
2	1244	500
3	2932	496
4	5001	488

prune205.0ms

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: 0.0b

Counts

68 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x.re y.im) (* x.re y.im))
0.2b	(* (* x.im y.re) (* x.im y.re))
1.9b	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
28.0b	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

rewrite33.0ms

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×	`flip3--` `associate-/r*` `flip--`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 117

Calls

4 calls:

6.0ms	(* (* x.re y.im) (* x.re y.im))
6.0ms	(* (* x.im y.re) (* x.im y.re))
6.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
11.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x.re y.im) (* x.re y.im))
28.0ms	(* (* x.im y.re) (* x.im y.re))
96.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
75.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

simplify73.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	413	954
1	2306	805
2	5002	788

prune148.0ms

Filtered

129 candidates to 66 candidates (51.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	128	5	133

Merged error: 0b

Counts

133 → 5

regimes153.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample505.0ms

Algorithm

intervals

Results

265.0ms

10476×

body

valid