Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

351×

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

localize7.0ms

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

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

localize12.0ms

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))))
1.9b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.9b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.9b	(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)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
103.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
119.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
112.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify93.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	314	1055
1	1028	988
2	3721	912
3	5003	900

prune219.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.9b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.9b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `cbrt-div` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

6.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(sqrt (+ (* 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)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
69.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
100.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
101.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify65.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	238	534
1	684	498
2	2411	482
3	5001	476

prune213.0ms

Filtered

68 candidates to 58 candidates (85.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

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)
35.4b	(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))

series199.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* y.re x.im) (* y.im x.re))
131.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
34.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (40.0ms)

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

prune108.0ms

Filtered

68 candidates to 41 candidates (60.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

regimes146.0ms

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

sample503.0ms

Algorithm

intervals

Results

256.0ms

10538×

body

valid

Details

sample19.0ms

simplify3.0ms

prune2.0ms

localize7.0ms

rewrite4.0ms

series30.0ms

simplify115.0ms

prune27.0ms

localize12.0ms

rewrite22.0ms

series453.0ms

simplify93.0ms

prune219.0ms

localize12.0ms

rewrite17.0ms

series334.0ms

simplify65.0ms

prune213.0ms

localize8.0ms

rewrite13.0ms

series199.0ms

simplify46.0ms

prune108.0ms

regimes146.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample503.0ms

Profiling