Details

analyze132.0ms (7.4%)

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%	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

sample23.0ms (1.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	17×	body	80	invalid

simplify68.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4947	11
1	4947	11

prune8.0ms (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: 0.1b

Counts

2 → 2

localize7.0ms (0.4%)

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

Counts

3 → 50

Calls

3 calls:

9.0ms	(-.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)

series26.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

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

simplify56.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5288	515

prune91.0ms (5.1%)

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

localize7.0ms (0.4%)

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))

rewrite24.0ms (1.4%)

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

series26.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(-.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))

simplify56.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4887	515
1	4887	515

prune84.0ms (4.7%)

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

localize9.0ms (0.5%)

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))

rewrite23.0ms (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×	`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))

series25.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

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

simplify65.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4894	512
1	4894	512

prune85.0ms (4.8%)

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 (0.6%)

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))

rewrite54.0ms (3%)

Algorithm

1×	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:

17.0ms	(-.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))
16.0ms	(.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
12.0ms	(.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
5.0ms	(.f64 x.re (.f64 x.re x.im))

series57.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(-.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))
15.0ms	(.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
14.0ms	(.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
5.0ms	(.f64 x.re (.f64 x.re x.im))

simplify66.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4910	974
1	4910	974

prune120.0ms (6.7%)

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

regimes103.0ms (5.8%)

Accuracy

Total 0.2b remaining (91.1%)

Threshold costs 0.2b (91.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms (0%)

sample536.0ms (30%)

Algorithm

1×

intervals

Results

367.0ms	8000×	body	80	valid
28.0ms	567×	body	80	invalid

Details

analyze132.0ms (7.4%)

sample23.0ms (1.3%)

simplify68.0ms (3.8%)

prune8.0ms (0.5%)

localize7.0ms (0.4%)

rewrite22.0ms (1.3%)

series26.0ms (1.4%)

simplify56.0ms (3.1%)

prune91.0ms (5.1%)

localize7.0ms (0.4%)

rewrite24.0ms (1.4%)

series26.0ms (1.5%)

simplify56.0ms (3.2%)

prune84.0ms (4.7%)

localize9.0ms (0.5%)

rewrite23.0ms (1.3%)

series25.0ms (1.4%)

simplify65.0ms (3.6%)

prune85.0ms (4.8%)

localize10.0ms (0.6%)

rewrite54.0ms (3%)

series57.0ms (3.2%)

simplify66.0ms (3.7%)

prune120.0ms (6.7%)

regimes103.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample536.0ms (30%)

Profiling