Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

266×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	36	7
2	48	7
3	66	7
4	72	7
5	72	7

prune4.0ms

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: 25.2b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x.im y.re) (* x.re y.im))
24.9b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

3.0ms	(- (* x.im y.re) (* x.re y.im))
8.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series41.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(- (* x.im y.re) (* x.re y.im))
31.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify99.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	251	464
1	938	427
2	3490	426
3	5002	426

prune94.0ms

Filtered

50 candidates to 39 candidates (22.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	41	9	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	9	51

Merged error: 24.5b

Counts

51 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* x.im y.re) (* x.re y.im))
15.5b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
27.8b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.8b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

3.0ms	(- (* x.im y.re) (* x.re y.im))
8.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* x.im y.re) (* x.re y.im))
33.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify97.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	304	910
1	990	857
2	3340	845
3	5003	845

prune120.0ms

Filtered

98 candidates to 75 candidates (23.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	96	11	107

Merged error: 22.8b

Counts

107 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b

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

16.1b

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

18.3b

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-/r/`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/r*`
5×	`add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
3×	`pow1` `distribute-rgt-out--`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

3 → 65

Calls

3 calls:

13.0ms

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

6.0ms

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

6.0ms

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

series68.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms

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

14.0ms

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

15.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	342	669
1	1537	598
2	5001	596

prune93.0ms

Filtered

74 candidates to 54 candidates (27.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	7	2	9
Picked	1	0	1
Done	1	0	1
Total	79	6	85

Merged error: 21.6b

Counts

85 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im))) (/ x.re (/ (+ (* y.re y.re) (* y.im y.im)) y.im)))
2.4b	(/ x.re (/ (+ (* y.re y.re) (* y.im y.im)) y.im))
15.7b	(/ (+ (* y.re y.re) (* y.im y.im)) y.im)
16.1b	(/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
65×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
56×	`add-cube-cbrt`
19×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/` `difference-of-squares`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 139

Calls

4 calls:

26.0ms	(- (/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im))) (/ x.re (/ (+ (* y.re y.re) (* y.im y.im)) y.im)))
7.0ms	(/ x.re (/ (+ (* y.re y.re) (* y.im y.im)) y.im))
6.0ms	(/ (+ (* y.re y.re) (* y.im y.im)) y.im)
6.0ms	(/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im))) (/ x.re (/ (+ (* y.re y.re) (* y.im y.im)) y.im)))
14.0ms	(/ x.re (/ (+ (* y.re y.re) (* y.im y.im)) y.im))
8.0ms	(/ (+ (* y.re y.re) (* y.im y.im)) y.im)
17.0ms	(/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im)))

simplify73.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	595	1521
1	2712	1431
2	5002	1429

prune126.0ms

Filtered

151 candidates to 118 candidates (21.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	151	6	157

Merged error: 14.4b

Counts

157 → 6

regimes265.0ms

Accuracy

40.6% (1.5b remaining)

Error of 16.6b against oracle of 15.1b and baseline of 17.6b

bsearch43.0ms

Steps

Iters	Range		Point
9	7.113085883623841e+50	1.2423971703857589e+57	7.1886537093075794e+50
9	-2.9369404989578072e+128	-1.8677930526633351e+121	-8.298577531102384e+124

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	21
1	34	21

end0.0ms

sample794.0ms

Algorithm

intervals

Results

402.0ms

8459×

body

valid

Details

sample27.0ms

simplify9.0ms

prune4.0ms

localize10.0ms

rewrite12.0ms

series41.0ms

simplify99.0ms

prune94.0ms

localize14.0ms

rewrite20.0ms

series54.0ms

simplify97.0ms

prune120.0ms

localize10.0ms

rewrite26.0ms

series68.0ms

simplify41.0ms

prune93.0ms

localize11.0ms

rewrite49.0ms

series77.0ms

simplify73.0ms

prune126.0ms

regimes265.0ms

bsearch43.0ms

simplify1.0ms

end0.0ms

sample794.0ms

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