Details

analyze10.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample23.0ms (1.5%)

Algorithm

1×

intervals

Results

7.0ms	67×	body	1280	valid
5.0ms	67×	body	640	valid
2.0ms	31×	body	320	valid
2.0ms	80×	body	80	valid
0.0ms	11×	body	160	valid

simplify510.0ms (33.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	1355	9
1	1355	9

prune20.0ms (1.3%)

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: 42.0b

Counts

2 → 1

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (+.f64 x 1.0) (+.f64 x 1.0))
3.8b	(-.f64 (*.f64 (+.f64 x 1.0) (+.f64 x 1.0)) 1.0)

rewrite24.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-sqr-sqrt_binary64`
6×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `pow-sqr_binary64` `flip--_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

2 → 54

Calls

2 calls:

12.0ms	(-.f64 (*.f64 (+.f64 x 1.0) (+.f64 x 1.0)) 1.0)
9.0ms	(*.f64 (+.f64 x 1.0) (+.f64 x 1.0))

series19.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(-.f64 (*.f64 (+.f64 x 1.0) (+.f64 x 1.0)) 1.0)
3.0ms	(*.f64 (+.f64 x 1.0) (+.f64 x 1.0))

simplify48.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5115	499

prune79.0ms (5.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	1	61

Merged error: 0.0b

Counts

61 → 1

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (+.f64 x 2.0))

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 x 2.0))

series7.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 x (+.f64 x 2.0))

simplify70.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4887	163
1	4887	163

prune27.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Merged error: 0.0b

Counts

27 → 2

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 x 2.0))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x x) (*.f64 x 2.0))

series7.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(+.f64 (*.f64 x x) (*.f64 x 2.0))

simplify44.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5931	112

prune17.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

regimes25.0ms (1.6%)

Accuracy

Total 0.0b remaining (94.1%)

Threshold costs 0.0b (94.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample562.0ms (37%)

Algorithm

1×

intervals

Results

216.0ms	2217×	body	1280	valid
129.0ms	1668×	body	640	valid
62.0ms	2851×	body	80	valid
50.0ms	840×	body	320	valid
17.0ms	424×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze10.0ms (0.7%)

sample23.0ms (1.5%)

simplify510.0ms (33.5%)

prune20.0ms (1.3%)

localize6.0ms (0.4%)

rewrite24.0ms (1.6%)

series19.0ms (1.2%)

simplify48.0ms (3.1%)

prune79.0ms (5.2%)

localize5.0ms (0.3%)

rewrite7.0ms (0.5%)

series7.0ms (0.4%)

simplify70.0ms (4.6%)

prune27.0ms (1.8%)

localize4.0ms (0.3%)

rewrite5.0ms (0.3%)

series7.0ms (0.5%)

simplify44.0ms (2.9%)

prune17.0ms (1.1%)

regimes25.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample562.0ms (37%)

Profiling