Details

sample33.0ms

Algorithm

intervals

Results

21.0ms

472×

body

valid

simplify88.0ms

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

prune7.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize7.0ms

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)))

rewrite21.0ms

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))))
5.0ms	(* x.im (* x.re x.im))
7.0ms	(* 3 (* x.im (* x.re x.im)))

series94.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
18.0ms	(* x.im (* x.re x.im))
26.0ms	(* 3 (* x.im (* x.re x.im)))

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	209	292
1	846	253
2	5002	253

prune108.0ms

Filtered

60 candidates to 32 candidates (53.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	1	1
Picked	0	1	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))

rewrite15.0ms

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:

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

series76.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
26.0ms	(* (* 3 x.im) (* x.re x.im))

simplify40.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	193	231
1	907	200
2	5001	200

prune64.0ms

Filtered

40 candidates to 20 candidates (50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
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))
0.2b	(* (* (* 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:

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)

series98.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
21.0ms	(* (* (* 3 x.im) x.re) x.im)
23.0ms	(* (* 3 x.im) x.re)

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	230	299
1	1308	256
2	5001	256

prune91.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

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

Merged error: 0b

Counts

67 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x.im) (cbrt x.im))
0.6b	(cbrt x.im)
0.6b	(cbrt x.im)
0.6b	(cbrt x.im)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x.im) (cbrt x.im))
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)

series727.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt x.im) (cbrt x.im))
176.0ms	(cbrt x.im)
179.0ms	(cbrt x.im)
173.0ms	(cbrt x.im)

simplify91.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune208.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	85	8	93

Merged error: 0b

Counts

93 → 8

regimes88.0ms

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

sample915.0ms

Algorithm

intervals

Results

670.0ms

14554×

body

valid

Details

sample33.0ms

simplify88.0ms

prune7.0ms

localize7.0ms

rewrite21.0ms

series94.0ms

simplify43.0ms

prune108.0ms

localize7.0ms

rewrite15.0ms

series76.0ms

simplify40.0ms

prune64.0ms

localize7.0ms

rewrite20.0ms

series98.0ms

simplify48.0ms

prune91.0ms

localize11.0ms

rewrite11.0ms

series727.0ms

simplify91.0ms

prune208.0ms

regimes88.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample915.0ms

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