Details

sample32.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

19.0ms

441×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (16.0ms)

Iter	Nodes	Cost
0	21	9
1	55	9
2	150	9
3	401	6
4	1088	5
5	2704	5
6	5001	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: 0.1b

Counts

2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
0.2b	(* x.im (* x.re x.im))
0.2b	(* 3 (* x.im (* x.re x.im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
4.0ms	(* x.im (* x.re x.im))
7.0ms	(* 3 (* x.im (* x.re x.im)))

series17.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
4.0ms	(* x.im (* x.re x.im))
4.0ms	(* 3 (* x.im (* x.re x.im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	290
1	846	250
2	5002	250

prune271.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	53	9	62

Merged error: 0.0b

Counts

62 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
0.2b	(* (* 3 x.im) (* x.re x.im))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 34

Calls

2 calls:

7.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
6.0ms	(* (* 3 x.im) (* x.re x.im))

series13.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
4.0ms	(* (* 3 x.im) (* x.re x.im))

simplify38.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	193	231
1	907	198
2	5001	198

prune53.0ms

Filtered

20 candidates to 40 candidates (-100.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
0.1b	(* (* (* 3 x.im) x.re) x.im)
0.2b	(* (* 3 x.im) x.re)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

7.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
6.0ms	(* (* (* 3 x.im) x.re) x.im)
5.0ms	(* (* 3 x.im) x.re)

series17.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
4.0ms	(* (* (* 3 x.im) x.re) x.im)
3.0ms	(* (* 3 x.im) x.re)

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	230	290
1	1308	253
2	5001	253

prune74.0ms

Filtered

33 candidates to 60 candidates (-81.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	59	8	67

Merged error: 0b

Counts

67 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
0.1b	(* (* 3 (* x.im x.re)) x.im)
0.2b	(* 3 (* x.im x.re))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
6.0ms	(* (* 3 (* x.im x.re)) x.im)
5.0ms	(* 3 (* x.im x.re))

series17.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
4.0ms	(* (* 3 (* x.im x.re)) x.im)
4.0ms	(* 3 (* x.im x.re))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	225	290
1	1116	253
2	5001	253

prune52.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	60	8	68

Merged error: 0b

Counts

68 → 8

regimes104.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample961.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

644.0ms

14234×

body

valid

Details

sample32.0ms

simplify87.0ms

prune9.0ms

localize11.0ms

rewrite20.0ms

series17.0ms

simplify37.0ms

prune271.0ms

localize7.0ms

rewrite14.0ms

series13.0ms

simplify38.0ms

prune53.0ms

localize7.0ms

rewrite20.0ms

series17.0ms

simplify49.0ms

prune74.0ms

localize7.0ms

rewrite20.0ms

series17.0ms

simplify45.0ms

prune52.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample961.0ms

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