Details

sample0.0hr

Algorithm

intervals

Results

0.0hr

274×

body

valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

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

prune0.0hr

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: 21.7b

Counts

2 → 1

localize0.0hr

Local error

Found 3 expressions with local error:

0.0b	(+ (* y.re y.re) (* y.im y.im))
0.3b	(- (* x.im y.re) (* x.re y.im))
21.3b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

0.0hr	(+ (* y.re y.re) (* y.im y.im))
0.0hr	(- (* x.im y.re) (* x.re y.im))
0.0hr	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(+ (* y.re y.re) (* y.im y.im))
0.0hr	(- (* x.im y.re) (* x.re y.im))
0.0hr	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify0.0hr

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	292	541
1	1273	493
2	5001	491

prune0.0hr

Filtered

64 candidates to 50 candidates (21.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	55	9	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	9	65

Merged error: 21.0b

Counts

65 → 9

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
12.6b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
26.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
26.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite0.0hr

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:

0.0hr	(- (* x.im y.re) (* x.re y.im))
0.0hr	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (* x.im y.re) (* x.re y.im))
0.0hr	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify0.0hr

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

Filtered

98 candidates to 75 candidates (23.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	96	11	107

Merged error: 20.2b

Counts

107 → 11

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
12.8b	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))
26.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
26.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`associate-r`
22×	`*-un-lft-identity` `times-frac`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`sqrt-div` `add-log-exp`
5×	`unswap-sqr`
4×	`prod-exp`
3×	`flip3--` `flip3-+` `associate-l` `flip--` `flip-+`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 95

Calls

4 calls:

0.0hr	(- (* x.im y.re) (* x.re y.im))
0.0hr	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (* x.im y.re) (* x.re y.im))
0.0hr	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify0.0hr

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	378	916
1	1785	831
2	5001	807

prune0.0hr

Filtered

107 candidates to 75 candidates (29.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	107	11	118

Merged error: 20.2b

Counts

118 → 11

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
12.8b	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
26.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
26.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite0.0hr

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` `add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 85

Calls

4 calls:

0.0hr	(- (* x.im y.re) (* x.re y.im))
0.0hr	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (* x.im y.re) (* x.re y.im))
0.0hr	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))
0.0hr	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify0.0hr

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	264	889
1	808	842
2	2343	837
3	5001	837

prune0.0hr

Filtered

97 candidates to 74 candidates (23.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	97	11	108

Merged error: 20.2b

Counts

108 → 11

regimes0.0hr

Accuracy

0% (2.3b remaining)

Error of 25.7b against oracle of 23.4b and baseline of 25.7b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr

8518×

body

valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling