Details

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 13.916016%

Guaranteed chance to sample good point: 63.925128%

Results

7.0ms	256×	body	80	valid
1.0ms	33×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

prune3.0ms

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

localize5.0ms

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))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify120.0ms

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

12 candidates to 14 candidates (-16.7%)

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.5b	(log (+ (* x.re y.im) (* x.im y.re)))
2.4b	(exp (log (+ (* x.re y.im) (* x.im y.re))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `exp-prod`
3×	`flip3-+` `exp-sum` `add-cbrt-cube` `flip-+`
2×	`exp-diff` `log-pow`
1×	`+-commutative` `rem-log-exp` `sum-log` `rem-exp-log`

Counts

3 → 42

Calls

3 calls:

3.0ms	(+ (* x.re y.im) (* x.im y.re))
3.0ms	(log (+ (* x.re y.im) (* x.im y.re)))
4.0ms	(exp (log (+ (* x.re y.im) (* x.im y.re))))

series34.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (* x.re y.im) (* x.im y.re))
15.0ms	(log (+ (* x.re y.im) (* x.im y.re)))
10.0ms	(exp (log (+ (* x.re y.im) (* x.im y.re))))

simplify135.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	183	317
1	528	286
2	1410	276
3	3863	270
4	5001	270

prune54.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	51	3	54

Merged error: 0.0b

Counts

54 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
1.8b	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
3.3b	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
35.2b	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `flip3-+` `flip-+`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

4 → 91

Calls

4 calls:

8.0ms	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
7.0ms	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
8.0ms	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
16.0ms	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
46.0ms	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
15.0ms	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
48.0ms	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

simplify111.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	436	1484
1	2568	1353
2	5002	1348

prune136.0ms

Filtered

71 candidates to 103 candidates (-45.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	104	2	106

Merged error: 0.0b

Counts

106 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
4.1b	(* y.re (* x.im x.re))
4.3b	(* y.im (- (* (* x.re y.im) x.re) (* y.re (* x.im x.re))))
35.2b	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (* x.im y.re)) (* y.im (- (* (* x.re y.im) x.re) (* y.re (* x.im x.re))))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

7.0ms	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
5.0ms	(* y.re (* x.im x.re))
7.0ms	(* y.im (- (* (* x.re y.im) x.re) (* y.re (* x.im x.re))))
14.0ms	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (* x.im y.re)) (* y.im (- (* (* x.re y.im) x.re) (* y.re (* x.im x.re))))))

series118.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
5.0ms	(* y.re (* x.im x.re))
19.0ms	(* y.im (- (* (* x.re y.im) x.re) (* y.re (* x.im x.re))))
48.0ms	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (* x.im y.re)) (* y.im (- (* (* x.re y.im) x.re) (* y.re (* x.im x.re))))))

simplify95.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	460	1409
1	2315	1300
2	5001	1283

prune140.0ms

Filtered

77 candidates to 106 candidates (-37.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	106	2	108

Merged error: 0.0b

Counts

108 → 2

regimes334.0ms

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

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 13.916016%

Guaranteed chance to sample good point: 63.925128%

Results

226.0ms	8000×	body	80	valid
27.0ms	1044×	body	80	invalid

Details

sample1.4s

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite4.0ms

series10.0ms

simplify120.0ms

prune27.0ms

localize9.0ms

rewrite12.0ms

series34.0ms

simplify135.0ms

prune54.0ms

localize15.0ms

rewrite42.0ms

series135.0ms

simplify111.0ms

prune136.0ms

localize19.0ms

rewrite35.0ms

series118.0ms

simplify95.0ms

prune140.0ms

regimes334.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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