Details

analyze135.0ms

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

sample24.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	5291	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: 6.3b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.im x.im) (*.f64 x.re -3)))
6.0b	(.f64 (.f64 x.im x.im) (*.f64 x.re -3))

rewrite19.0ms

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:

10.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.im x.im) (*.f64 x.re -3)))
8.0ms	(.f64 (.f64 x.im x.im) (*.f64 x.re -3))

series18.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.im x.im) (*.f64 x.re -3)))
5.0ms	(.f64 (.f64 x.im x.im) (*.f64 x.re -3))

simplify73.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4937	396
1	4937	396

prune45.0ms

Filtered

20 candidates to 39 candidates (-95.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 50

Calls

3 calls:

12.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 x.im (*.f64 x.re -3))))
7.0ms	(.f64 x.im (.f64 x.im (*.f64 x.re -3)))
5.0ms	(.f64 x.im (.f64 x.re -3))

series22.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 x.im (*.f64 x.re -3))))
5.0ms	(.f64 x.im (.f64 x.im (*.f64 x.re -3)))
5.0ms	(.f64 x.im (.f64 x.re -3))

simplify55.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4949	508
1	4949	508

prune63.0ms

Filtered

31 candidates to 59 candidates (-90.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 (*.f64 x.im x.re) -3)))
0.2b	(.f64 x.im (.f64 (*.f64 x.im x.re) -3))
0.2b	(.f64 (.f64 x.im x.re) -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`
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×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 50

Calls

3 calls:

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

series24.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 (*.f64 x.im x.re) -3)))
5.0ms	(.f64 x.im (.f64 (*.f64 x.im x.re) -3))
5.0ms	(.f64 (.f64 x.im x.re) -3)

simplify83.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4938	511
1	4938	511

prune58.0ms

Filtered

31 candidates to 59 candidates (-90.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	60	8	68

Merged error: 0.0b

Counts

68 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

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

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`
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×	`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 x.im (*.f64 x.im x.re)) -3))
7.0ms	(.f64 (.f64 x.im (*.f64 x.im x.re)) -3)
5.0ms	(.f64 x.im (.f64 x.im x.re))

series22.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.im (*.f64 x.im x.re)) -3))
5.0ms	(.f64 (.f64 x.im (*.f64 x.im x.re)) -3)
5.0ms	(.f64 x.im (.f64 x.im x.re))

simplify57.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5005	511

prune42.0ms

Filtered

32 candidates to 59 candidates (-84.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

regimes170.0ms

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	13	11
1	13	11

end0.0ms

sample590.0ms

Algorithm

intervals

Results

422.0ms	8000×	body	80	valid
22.0ms	430×	body	80	invalid

Details

analyze135.0ms

sample24.0ms

simplify144.0ms

prune9.0ms

localize8.0ms

rewrite19.0ms

series18.0ms

simplify73.0ms

prune45.0ms

localize8.0ms

rewrite26.0ms

series22.0ms

simplify55.0ms

prune63.0ms

localize8.0ms

rewrite23.0ms

series24.0ms

simplify83.0ms

prune58.0ms

localize8.0ms

rewrite23.0ms

series22.0ms

simplify57.0ms

prune42.0ms

regimes170.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample590.0ms

Profiling