Details

sample36.0ms

Algorithm

intervals

Results

22.0ms

489×

body

valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4940	11
1	4940	11

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: 7.1b

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))))
0.2b	(* x.im (* x.im -3))
6.9b	(* 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×	`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:

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

series19.0ms

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)))

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5674	511

prune82.0ms

Filtered

33 candidates to 60 candidates (-81.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	8	62

Merged error: 0.0b

Counts

62 → 8

localize10.0ms

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))

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

Counts

2 → 33

Calls

2 calls:

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

series16.0ms

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))

simplify25.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4956	396
1	4956	396

prune52.0ms

Filtered

20 candidates to 39 candidates (-95.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

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)
6.2b	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

rewrite19.0ms

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))))

series76.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x.re)
21.0ms	(cbrt x.re)
23.0ms	(cbrt x.re)
11.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

simplify46.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5143	443

prune71.0ms

Filtered

40 candidates to 79 candidates (-97.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	79	7	86

Merged error: 0.0b

Counts

86 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
0.2b	(* (* x.re (* x.im x.im)) -3)
6.9b	(* x.re (* x.im x.im))

rewrite22.0ms

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` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

8.0ms	(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
6.0ms	(* (* x.re (* x.im x.im)) -3)
7.0ms	(* x.re (* x.im x.im))

series22.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
7.0ms	(* (* x.re (* x.im x.im)) -3)
6.0ms	(* x.re (* x.im x.im))

simplify58.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4943	520
1	4943	520

prune54.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

regimes104.0ms

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

sample1.0s

Algorithm

intervals

Results

664.0ms

14498×

body

valid

Details

sample36.0ms

simplify106.0ms

prune9.0ms

localize8.0ms

rewrite23.0ms

series19.0ms

simplify46.0ms

prune82.0ms

localize10.0ms

rewrite14.0ms

series16.0ms

simplify25.0ms

prune52.0ms

localize12.0ms

rewrite19.0ms

series76.0ms

simplify46.0ms

prune71.0ms

localize7.0ms

rewrite22.0ms

series22.0ms

simplify58.0ms

prune54.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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