Details

sample132.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.324097%

Guaranteed chance to sample good point: 98.713629%

Results

17.0ms	256×	body	80	valid
6.0ms	121×	body	80	invalid

simplify160.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	113	9
3	277	5
4	705	5
5	1571	5
6	4493	5
7	5002	5

prune9.0ms

Filtered

1 candidates to 1 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: 7.4b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re x.re) (* x.im x.im))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.0b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
4×	`flip3--` `flip3-+` `frac-add` `flip--` `flip-+`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x.re x.re) (* x.im x.im))
6.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
7.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
6.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series35.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* x.re x.re) (* x.im x.im))
7.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
11.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
11.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify67.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	411	707
1	2066	630
2	5001	535

prune116.0ms

Filtered

60 candidates to 81 candidates (-35.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	72	9	81
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	11	83

Merged error: 0.1b

Counts

83 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b	(* (+ x.re x.im) (* (- x.re x.im) x.im))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*l/`
20×	`flip3-+` `flip-+`
16×	`frac-add`
12×	`frac-times`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt` `flip3--` `*-un-lft-identity` `flip--`
8×	`add-log-exp`
7×	`add-cube-cbrt` `associate-l`
6×	`associate-*r/`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `*-commutative`
1×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
5.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
12.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
9.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series32.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
4.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
13.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
10.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify127.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	707	1230
1	4122	1070
2	5001	752

prune140.0ms

Filtered

68 candidates to 97 candidates (-42.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	5	4	9
Picked	1	0	1
Done	0	1	1
Total	94	14	108

Merged error: 0.0b

Counts

108 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
22.3b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.3b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.3b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
4.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
5.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series96.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
21.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
21.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
21.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	289	935
1	961	852
2	5001	770

prune130.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	84	14	98

Merged error: 0.0b

Counts

98 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x.im (+ x.re x.re)) (cbrt x.re))
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-r`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `associate-l/`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 56

Calls

4 calls:

8.0ms	(* (* x.im (+ x.re x.re)) (cbrt x.re))
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)

series90.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x.im (+ x.re x.re)) (cbrt x.re))
22.0ms	(cbrt x.re)
22.0ms	(cbrt x.re)
25.0ms	(cbrt x.re)

simplify39.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	252	309
1	1045	276
2	5002	237

prune64.0ms

Filtered

51 candidates to 68 candidates (-33.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	68	14	82

Merged error: 0.0b

Counts

82 → 14

regimes224.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	22
1	22	22
2	22	22

end0.0ms

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.324097%

Guaranteed chance to sample good point: 98.713629%

Results

385.0ms	8000×	body	80	valid
226.0ms	4827×	body	80	invalid

Details

sample132.0ms

simplify160.0ms

prune9.0ms

localize11.0ms

rewrite24.0ms

series35.0ms

simplify67.0ms

prune116.0ms

localize11.0ms

rewrite33.0ms

series32.0ms

simplify127.0ms

prune140.0ms

localize18.0ms

rewrite23.0ms

series96.0ms

simplify46.0ms

prune130.0ms

localize13.0ms

rewrite13.0ms

series90.0ms

simplify39.0ms

prune64.0ms

regimes224.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling