Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
4×	`associate-l` `distribute-lft-out`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

13.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify111.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	92	86
1	323	79
2	937	79
3	2697	79
4	5001	79

prune26.0ms

Filtered

18 candidates to 13 candidates (27.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

localize9.0ms

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))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
14×	`unpow-prod-down`
12×	`cbrt-prod` `associate-l` `distribute-lft-out`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `pow-unpow` `add-cbrt-cube`
2×	`unpow3` `rem-cbrt-cube` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `pow-exp` `sum-log` `flip-+` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

12.0ms	(+ (* y.re x.im) (* y.im x.re))
12.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
13.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

series203.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* y.re x.im) (* y.im x.re))
128.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
38.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	218	359
1	974	338
2	5001	334

prune75.0ms

Filtered

69 candidates to 36 candidates (47.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	3	71

Merged error: 0.0b

Counts

71 → 3

localize13.0ms

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)))
0.3b	(* (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))))
2.0b	(cbrt (+ (* y.re x.im) (* y.im x.re)))
22.2b	(cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 264

Calls

4 calls:

28.0ms	(* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))
56.0ms	(* (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))))
11.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))
29.0ms	(cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re)))
39.0ms	(* (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))))
107.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))
129.0ms	(cbrt (* (+ (* y.re x.im) (* y.im x.re)) (+ (* y.re x.im) (* y.im x.re))))

simplify99.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	592	3739
1	2238	3572
2	5002	3365

prune327.0ms

Filtered

276 candidates to 115 candidates (58.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	275	1	276
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	275	4	279

Merged error: 0.0b

Counts

279 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (* y.re x.im) (* y.im x.re))))
1.5b	(sqrt (+ (* y.re x.im) (* y.im x.re)))
1.5b	(sqrt (+ (* y.re x.im) (* y.im x.re)))
2.0b	(cbrt (+ (* y.re x.im) (* y.im x.re)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
21×	`sqrt-prod`
17×	`cbrt-prod`
16×	`associate-l` `distribute-lft-out`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
6×	`pow1` `sqrt-div`
4×	`add-exp-log` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 75

Calls

4 calls:

12.0ms	(cbrt (sqrt (+ (* y.re x.im) (* y.im x.re))))
12.0ms	(sqrt (+ (* y.re x.im) (* y.im x.re)))
12.0ms	(sqrt (+ (* y.re x.im) (* y.im x.re)))
14.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (sqrt (+ (* y.re x.im) (* y.im x.re))))
77.0ms	(sqrt (+ (* y.re x.im) (* y.im x.re)))
78.0ms	(sqrt (+ (* y.re x.im) (* y.im x.re)))
109.0ms	(cbrt (+ (* y.re x.im) (* y.im x.re)))

simplify81.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	310	678
1	813	640
2	2685	624
3	5001	607

prune171.0ms

Filtered

87 candidates to 59 candidates (32.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

regimes143.0ms

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

sample496.0ms

Algorithm

intervals

Results

250.0ms

10476×

body

valid