Details

analyze120.0ms

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

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid

simplify199.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (188.0ms)

Iter	Nodes	Cost
0	4914	20
1	4914	20

prune4.0ms

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: 5.8b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 x.im (*.f64 x.im -3))))
0.1b	(.f64 x.im (.f64 x.im -3))
6.6b	(.f64 x.re (.f64 x.im (*.f64 x.im -3)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-l_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`associate-r_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 51

Calls

3 calls:

9.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 x.im (*.f64 x.im -3))))
5.0ms	(.f64 x.im (.f64 x.im -3))
7.0ms	(.f64 x.re (.f64 x.im (*.f64 x.im -3)))

series85.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 x.im (*.f64 x.im -3))))
17.0ms	(.f64 x.im (.f64 x.im -3))
31.0ms	(.f64 x.re (.f64 x.im (*.f64 x.im -3)))

simplify116.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4951	874
1	4951	874

prune52.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re x.im) (*.f64 x.im -3)))
0.2b	(.f64 (.f64 x.re x.im) (*.f64 x.im -3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `associate-l_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

9.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re x.im) (*.f64 x.im -3)))
7.0ms	(.f64 (.f64 x.re x.im) (*.f64 x.im -3))

series69.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re x.im) (*.f64 x.im -3)))
33.0ms	(.f64 (.f64 x.re x.im) (*.f64 x.im -3))

simplify115.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4950	683
1	4950	683

prune26.0ms

Filtered

21 candidates to 39 candidates (-85.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	39	7	46

Merged error: 0.0b

Counts

46 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (pow.f64 x.im 2) -3)))
0.2b	(*.f64 (pow.f64 x.im 2) -3)
6.6b	(.f64 x.re (.f64 (pow.f64 x.im 2) -3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
10×	`add-cbrt-cube_binary64` `prod-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`cbrt-unprod_binary64` `associate-r_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
2×	`pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 58

Calls

3 calls:

9.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (pow.f64 x.im 2) -3)))
5.0ms	(*.f64 (pow.f64 x.im 2) -3)
6.0ms	(.f64 x.re (.f64 (pow.f64 x.im 2) -3))

series91.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (pow.f64 x.im 2) -3)))
18.0ms	(*.f64 (pow.f64 x.im 2) -3)
36.0ms	(.f64 x.re (.f64 (pow.f64 x.im 2) -3))

simplify81.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4919	954
1	4919	954

prune43.0ms

Filtered

40 candidates to 67 candidates (-67.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	68	6	74

Merged error: 0.0b

Counts

74 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
0.2b	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
0.2b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
5.5b	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64` `associate-*l/_binary64`
8×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`associate-r_binary64`
4×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 67

Calls

4 calls:

4.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
9.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
6.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
7.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

series121.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
39.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
31.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
34.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

simplify80.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4727	1708
1	4727	1708

prune68.0ms

Filtered

63 candidates to 79 candidates (-25.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	1	1	2
Picked	0	1	1
Done	1	2	3
Total	79	6	85

Merged error: 0.0b

Counts

85 → 6

regimes43.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	20
1	16	20

end0.0ms

sample512.0ms

Algorithm

intervals

Results

364.0ms	8000×	body	80	valid
19.0ms	435×	body	80	invalid

Details

analyze120.0ms

sample18.0ms

simplify199.0ms

prune4.0ms

localize7.0ms

rewrite23.0ms

series85.0ms

simplify116.0ms

prune52.0ms

localize7.0ms

rewrite17.0ms

series69.0ms

simplify115.0ms

prune26.0ms

localize8.0ms

rewrite22.0ms

series91.0ms

simplify81.0ms

prune43.0ms

localize11.0ms

rewrite28.0ms

series121.0ms

simplify80.0ms

prune68.0ms

regimes43.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample512.0ms

Profiling