Details

analyze136.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

sample21.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	14×	body	80	invalid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5291	11

prune10.0ms

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: 7.8b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
0.1b	(* x.im (* x.im -3))
8.0b	(* x.re (* x.im (* x.im -3)))

rewrite24.0ms

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×	`+-commutative` `cube-mult` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

8.0ms	(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
4.0ms	(* x.im (* x.im -3))
9.0ms	(* x.re (* x.im (* x.im -3)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
3.0ms	(* x.im (* x.im -3))
7.0ms	(* x.re (* x.im (* x.im -3)))

simplify27.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4963	511
1	4963	511

prune103.0ms

Filtered

33 candidates to 60 candidates (-81.8%)

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

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×	`+-commutative` `flip3-+` `associate-r` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 33

Calls

2 calls:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (pow x.re 3) (* (* x.re x.im) (* x.im -3)))
7.0ms	(* (* x.re x.im) (* x.im -3))

simplify49.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4974	396
1	4974	396

prune67.0ms

Filtered

20 candidates to 39 candidates (-95.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	39	9	48

Merged error: 0.0b

Counts

48 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
6.8b	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)
13.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x.re)
22.0ms	(cbrt x.re)
22.0ms	(cbrt x.re)
11.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

simplify49.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4973	443
1	4973	443

prune92.0ms

Filtered

40 candidates to 79 candidates (-97.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	79	9	88

Merged error: 0.0b

Counts

88 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x.re 3) (* x.re (* (* x.im x.im) -3)))
0.2b	(* (* x.im x.im) -3)
8.0b	(* x.re (* (* x.im x.im) -3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`+-commutative` `cube-mult` `flip3-+` `sum-log` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

9.0ms	(+ (pow x.re 3) (* x.re (* (* x.im x.im) -3)))
5.0ms	(* (* x.im x.im) -3)
7.0ms	(* x.re (* (* x.im x.im) -3))

series20.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (pow x.re 3) (* x.re (* (* x.im x.im) -3)))
3.0ms	(* (* x.im x.im) -3)
7.0ms	(* x.re (* (* x.im x.im) -3))

simplify49.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4939	523
1	4939	523

prune66.0ms

Filtered

36 candidates to 61 candidates (-69.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	61	9	70

Merged error: 0.0b

Counts

70 → 9

regimes191.0ms

Accuracy

0% (0.1b 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	13	11
1	13	11

end0.0ms

sample562.0ms

Algorithm

intervals

Results

393.0ms	8000×	body	80	valid
24.0ms	440×	body	80	invalid

Details

analyze136.0ms

sample21.0ms

simplify116.0ms

prune10.0ms

localize8.0ms

rewrite24.0ms

series20.0ms

simplify27.0ms

prune103.0ms

localize7.0ms

rewrite15.0ms

series17.0ms

simplify49.0ms

prune67.0ms

localize12.0ms

rewrite21.0ms

series78.0ms

simplify49.0ms

prune92.0ms

localize8.0ms

rewrite23.0ms

series20.0ms

simplify49.0ms

prune66.0ms

regimes191.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample562.0ms

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