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

sample20.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify200.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (191.0ms)

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: 6.1b

Counts

2 → 2

localize8.0ms

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))))
0.2b	(.f64 x.im (.f64 x.im -3))
6.0b	(.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)))

series86.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 x.im (*.f64 x.im -3))))
19.0ms	(.f64 x.im (.f64 x.im -3))
30.0ms	(.f64 x.re (.f64 x.im (*.f64 x.im -3)))

simplify117.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (99.0ms)

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

localize8.0ms

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))

series68.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re x.im) (*.f64 x.im -3)))
29.0ms	(.f64 (.f64 x.re x.im) (*.f64 x.im -3))

simplify116.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4950	683
1	4950	683

prune25.0ms

Filtered

21 candidates to 39 candidates (-85.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	4	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 (.f64 x.re (pow.f64 x.im 2)) -3))
0.2b	(.f64 (.f64 x.re (pow.f64 x.im 2)) -3)
6.1b	(*.f64 x.re (pow.f64 x.im 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`associate-r_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-l_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` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 57

Calls

3 calls:

8.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re (pow.f64 x.im 2)) -3))
6.0ms	(.f64 (.f64 x.re (pow.f64 x.im 2)) -3)
7.0ms	(*.f64 x.re (pow.f64 x.im 2))

series95.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re (pow.f64 x.im 2)) -3))
29.0ms	(.f64 (.f64 x.re (pow.f64 x.im 2)) -3)
30.0ms	(*.f64 x.re (pow.f64 x.im 2))

simplify113.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4934	973
1	4934	973

prune44.0ms

Filtered

39 candidates to 66 candidates (-69.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 (*.f64 x.re x.im) x.im) -3))
0.1b	(.f64 (.f64 x.re x.im) x.im)
0.2b	(.f64 (.f64 (*.f64 x.re x.im) x.im) -3)

rewrite25.0ms

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-r_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 50

Calls

3 calls:

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

series90.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 (*.f64 x.re x.im) x.im) -3))
25.0ms	(.f64 (.f64 x.re x.im) x.im)
29.0ms	(.f64 (.f64 (*.f64 x.re x.im) x.im) -3)

simplify117.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4950	892
1	4950	892

prune34.0ms

Filtered

35 candidates to 59 candidates (-68.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Merged error: 0.0b

Counts

65 → 6

regimes27.0ms

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

sample522.0ms

Algorithm

intervals

Results

374.0ms	8000×	body	80	valid
18.0ms	391×	body	80	invalid

Details

analyze120.0ms

sample20.0ms

simplify200.0ms

prune4.0ms

localize8.0ms

rewrite23.0ms

series86.0ms

simplify117.0ms

prune52.0ms

localize8.0ms

rewrite17.0ms

series68.0ms

simplify116.0ms

prune25.0ms

localize8.0ms

rewrite23.0ms

series95.0ms

simplify113.0ms

prune44.0ms

localize8.0ms

rewrite25.0ms

series90.0ms

simplify117.0ms

prune34.0ms

regimes27.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample522.0ms

Profiling