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%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

sample19.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	17×	body	80	invalid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4947	11
1	4947	11

prune8.0ms

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: 0.1b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 50

Calls

3 calls:

8.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
7.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
5.0ms	(.f64 (.f64 x.re x.im) 3)

series25.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
6.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
5.0ms	(.f64 (.f64 x.re x.im) 3)

simplify50.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5288	515

prune66.0ms

Filtered

32 candidates to 59 candidates (-84.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 50

Calls

3 calls:

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

series25.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) 3) (pow.f64 x.im 3))
5.0ms	(.f64 (.f64 x.re (*.f64 x.re x.im)) 3)
5.0ms	(.f64 x.re (.f64 x.re x.im))

simplify54.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4887	515
1	4887	515

prune61.0ms

Filtered

32 candidates to 59 candidates (-84.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 50

Calls

3 calls:

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

series28.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
6.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
7.0ms	(.f64 x.re (.f64 x.im 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4894	512
1	4894	512

prune58.0ms

Filtered

32 candidates to 59 candidates (-84.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	59	9	68

Merged error: 0b

Counts

68 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1_binary64` `add-exp-log_binary64`
40×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
8×	`associate-r_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`associate-l_binary64`
3×	`cbrt-prod_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 93

Calls

4 calls:

19.0ms	(-.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) (pow.f64 x.im 3))
5.0ms	(.f64 x.re (.f64 x.re x.im))
11.0ms	(.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
15.0ms	(.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

series52.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(-.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) (pow.f64 x.im 3))
5.0ms	(.f64 x.re (.f64 x.re x.im))
14.0ms	(.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
11.0ms	(.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4910	974
1	4910	974

prune60.0ms

Filtered

47 candidates to 105 candidates (-123.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	105	9	114

Merged error: 0b

Counts

114 → 9

regimes107.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample539.0ms

Algorithm

intervals

Results

373.0ms	8000×	body	80	valid
28.0ms	567×	body	80	invalid

Details

analyze136.0ms

sample19.0ms

simplify76.0ms

prune8.0ms

localize10.0ms

rewrite22.0ms

series25.0ms

simplify50.0ms

prune66.0ms

localize9.0ms

rewrite22.0ms

series25.0ms

simplify54.0ms

prune61.0ms

localize7.0ms

rewrite22.0ms

series28.0ms

simplify63.0ms

prune58.0ms

localize10.0ms

rewrite55.0ms

series52.0ms

simplify62.0ms

prune60.0ms

regimes107.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample539.0ms

Profiling