Details

analyze125.0ms (6.8%)

Algorithm

1×

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 (1.1%)

Algorithm

1×

intervals

Results

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

simplify161.0ms (8.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	5291	11

prune9.0ms (0.5%)

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

localize11.0ms (0.6%)

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))

rewrite20.0ms (1.1%)

Algorithm

1×	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:

11.0ms	(+.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 (1%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.im x.im) (*.f64 x.re -3)))
6.0ms	(.f64 (.f64 x.im x.im) (*.f64 x.re -3))

simplify91.0ms (5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4937	396
1	4937	396

prune63.0ms (3.4%)

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

localize7.0ms (0.4%)

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))

rewrite24.0ms (1.3%)

Algorithm

1×	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:

10.0ms	(+.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)))
6.0ms	(.f64 x.im (.f64 x.re -3))

series26.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 x.im (*.f64 x.re -3))))
8.0ms	(.f64 x.im (.f64 x.im (*.f64 x.re -3)))
5.0ms	(.f64 x.im (.f64 x.re -3))

simplify67.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4949	508
1	4949	508

prune87.0ms (4.7%)

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

localize7.0ms (0.4%)

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)

rewrite27.0ms (1.5%)

Algorithm

1×	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:

10.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 (*.f64 x.im x.re) -3)))
8.0ms	(.f64 (.f64 x.im x.re) -3)
7.0ms	(.f64 x.im (.f64 (*.f64 x.im x.re) -3))

series23.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.im (.f64 (*.f64 x.im x.re) -3)))
6.0ms	(.f64 x.im (.f64 (*.f64 x.im x.re) -3))
5.0ms	(.f64 (.f64 x.im x.re) -3)

simplify92.0ms (5%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4938	511
1	4938	511

prune81.0ms (4.4%)

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

localize10.0ms (0.5%)

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))

rewrite24.0ms (1.3%)

Algorithm

1×	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:

10.0ms	(+.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)
6.0ms	(.f64 x.im (.f64 x.im x.re))

series24.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.im (*.f64 x.im x.re)) -3))
6.0ms	(.f64 (.f64 x.im (*.f64 x.im x.re)) -3)
6.0ms	(.f64 x.im (.f64 x.im x.re))

simplify68.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5005	511

prune66.0ms (3.6%)

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

regimes148.0ms (8%)

Accuracy

Total 0.2b remaining (91.5%)

Threshold costs 0.2b (91.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11

end0.0ms (0%)

sample539.0ms (29.3%)

Algorithm

1×

intervals

Results

378.0ms	8000×	body	80	valid
20.0ms	430×	body	80	invalid

Details

analyze125.0ms (6.8%)

sample20.0ms (1.1%)

simplify161.0ms (8.8%)

prune9.0ms (0.5%)

localize11.0ms (0.6%)

rewrite20.0ms (1.1%)

series18.0ms (1%)

simplify91.0ms (5%)

prune63.0ms (3.4%)

localize7.0ms (0.4%)

rewrite24.0ms (1.3%)

series26.0ms (1.4%)

simplify67.0ms (3.6%)

prune87.0ms (4.7%)

localize7.0ms (0.4%)

rewrite27.0ms (1.5%)

series23.0ms (1.2%)

simplify92.0ms (5%)

prune81.0ms (4.4%)

localize10.0ms (0.5%)

rewrite24.0ms (1.3%)

series24.0ms (1.3%)

simplify68.0ms (3.7%)

prune66.0ms (3.6%)

regimes148.0ms (8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample539.0ms (29.3%)

Profiling