Details

analyze267.0ms (20.5%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

sample16.0ms (1.2%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	48×	body	80	invalid

simplify18.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

prune6.0ms (0.4%)

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: 0.0b

Counts

2 → 1

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
0.0b	(/.f64 (-.f64 y x) z)

rewrite17.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 51

Calls

2 calls:

9.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
6.0ms	(/.f64 (-.f64 y x) z)

series18.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
8.0ms	(/.f64 (-.f64 y x) z)

simplify45.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5763	519

prune54.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 2

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
0.0b	(/.f64 z (-.f64 y x))
0.5b	(/.f64 1 (/.f64 z (-.f64 y x)))

rewrite44.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
106×	`*-un-lft-identity_binary64`
103×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`add-exp-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`div-inv_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`distribute-lft-out_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3-+_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 158

Calls

3 calls:

20.0ms	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
10.0ms	(/.f64 1 (/.f64 z (-.f64 y x)))
6.0ms	(/.f64 z (-.f64 y x))

series28.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
9.0ms	(/.f64 1 (/.f64 z (-.f64 y x)))
9.0ms	(/.f64 z (-.f64 y x))

simplify61.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5340	1827

prune148.0ms (11.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	167	2	169

Merged error: 0b

Counts

169 → 2

regimes155.0ms (11.9%)

Accuracy

Total 0.0b remaining (39.7%)

Threshold costs 0.0b (39.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample413.0ms (31.7%)

Algorithm

1×

intervals

Results

195.0ms	8000×	body	80	valid
32.0ms	1406×	body	80	invalid

Details

analyze267.0ms (20.5%)

sample16.0ms (1.2%)

simplify18.0ms (1.4%)

prune6.0ms (0.4%)

localize5.0ms (0.4%)

rewrite17.0ms (1.3%)

series18.0ms (1.4%)

simplify45.0ms (3.4%)

prune54.0ms (4.2%)

localize6.0ms (0.5%)

rewrite44.0ms (3.3%)

series28.0ms (2.1%)

simplify61.0ms (4.7%)

prune148.0ms (11.4%)

regimes155.0ms (11.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample413.0ms (31.7%)

Profiling