Details

analyze35.0ms (1.4%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

sample13.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify160.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (157.0ms)

Iter	Nodes	Cost
0	2190	9
1	2190	9

prune5.0ms (0.2%)

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

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
40×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`distribute-lft-out--_binary64`
14×	`add-cube-cbrt_binary64`
13×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64` `distribute-lft-out_binary64`
5×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 58

Calls

1 calls:

10.0ms

(/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))

series10.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))

simplify62.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4966	901
1	4966	901

prune72.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	4	62

Merged error: 0b

Counts

62 → 4

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (-.f64 2.0 (+.f64 x y)))
0.0b	(/.f64 x (-.f64 2.0 (+.f64 x y)))
0.0b	(-.f64 (/.f64 x (-.f64 2.0 (+.f64 x y))) (/.f64 y (-.f64 2.0 (+.f64 x y))))

rewrite58.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

127×	`*-un-lft-identity_binary64`
64×	`times-frac_binary64`
59×	`add-sqr-sqrt_binary64`
41×	`distribute-lft-out--_binary64`
27×	`add-cube-cbrt_binary64`
14×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
12×	`associate-/r*_binary64`
8×	`associate-/r/_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`div-inv_binary64`
3×	`pow1_binary64` `distribute-rgt-out--_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `sub-div_binary64` `frac-sub_binary64`

Counts

3 → 115

Calls

3 calls:

38.0ms	(-.f64 (/.f64 x (-.f64 2.0 (+.f64 x y))) (/.f64 y (-.f64 2.0 (+.f64 x y))))
8.0ms	(/.f64 x (-.f64 2.0 (+.f64 x y)))
7.0ms	(/.f64 y (-.f64 2.0 (+.f64 x y)))

series33.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(-.f64 (/.f64 x (-.f64 2.0 (+.f64 x y))) (/.f64 y (-.f64 2.0 (+.f64 x y))))
9.0ms	(/.f64 y (-.f64 2.0 (+.f64 x y)))
8.0ms	(/.f64 x (-.f64 2.0 (+.f64 x y)))

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5912	1672

prune137.0ms (5.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	124	4	128

Merged error: 0b

Counts

128 → 4

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y))
0.1b	(/.f64 1 (/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y)))

rewrite39.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

292×	`*-un-lft-identity_binary64`
258×	`times-frac_binary64`
214×	`add-sqr-sqrt_binary64`
100×	`add-cube-cbrt_binary64`
83×	`distribute-lft-out--_binary64`
57×	`difference-of-squares_binary64`
41×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`div-exp_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 226

Calls

2 calls:

15.0ms	(/.f64 1 (/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y)))
10.0ms	(/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y))

series27.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y))
10.0ms	(/.f64 1 (/.f64 (-.f64 2.0 (+.f64 x y)) (-.f64 x y)))

simplify70.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5537	3866

prune248.0ms (9.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	232	4	236

Merged error: 0b

Counts

236 → 4

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))))
0.3b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))))
0.3b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))))
0.3b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))))

rewrite108.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Rules

651×	`*-un-lft-identity_binary64`
372×	`cbrt-prod_binary64`
324×	`times-frac_binary64`
318×	`add-sqr-sqrt_binary64`
212×	`distribute-lft-out--_binary64`
108×	`add-cube-cbrt_binary64`
93×	`swap-sqr_binary64` `difference-of-squares_binary64`
67×	`distribute-lft-out_binary64`
39×	`associate-r_binary64` `associate-l_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 336

Calls

4 calls:

45.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))))
12.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))))
10.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))))
10.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))))

series116.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y)))))
32.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))))
26.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))))
25.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2.0 (+.f64 x y))))

simplify84.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

348 → 348

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4978	8032
1	4978	8032

prune688.0ms (26.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	348	0	348
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	348	4	352

Merged error: 0b

Counts

352 → 4

regimes143.0ms (5.6%)

Accuracy

Total 0.0b remaining (43.7%)

Threshold costs 0.0b (43.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	15
1	44	15

end0.0ms (0%)

sample334.0ms (13.1%)

Algorithm

1×

intervals

Results

208.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid

Details

analyze35.0ms (1.4%)

sample13.0ms (0.5%)

simplify160.0ms (6.3%)

prune5.0ms (0.2%)

localize10.0ms (0.4%)

rewrite13.0ms (0.5%)

series10.0ms (0.4%)

simplify62.0ms (2.4%)

prune72.0ms (2.8%)

localize7.0ms (0.3%)

rewrite58.0ms (2.3%)

series33.0ms (1.3%)

simplify61.0ms (2.4%)

prune137.0ms (5.4%)

localize9.0ms (0.4%)

rewrite39.0ms (1.5%)

series27.0ms (1.1%)

simplify70.0ms (2.7%)

prune248.0ms (9.7%)

localize10.0ms (0.4%)

rewrite108.0ms (4.2%)

series116.0ms (4.5%)

simplify84.0ms (3.3%)

prune688.0ms (26.9%)

regimes143.0ms (5.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample334.0ms (13.1%)

Profiling