Details

analyze33.0ms (1.6%)

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

Compiler

Compiled 10 to 8 computations (20% saved)

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify233.0ms (11.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (223.0ms)

Iter	Nodes	Cost
0	2143	13
1	2143	13

prune3.0ms (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

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite13.0ms (0.7%)

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:

11.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

simplify74.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5080	1357

prune41.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Merged error: 0b

Counts

62 → 3

Compiler

Compiled 1107 to 465 computations (58% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
0.0b	(/.f64 y (-.f64 2 (+.f64 x y)))
0.0b	(/.f64 x (-.f64 2 (+.f64 x y)))

rewrite64.0ms (3.2%)

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:

39.0ms	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
11.0ms	(/.f64 y (-.f64 2 (+.f64 x y)))
8.0ms	(/.f64 x (-.f64 2 (+.f64 x y)))

series29.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
8.0ms	(/.f64 x (-.f64 2 (+.f64 x y)))
8.0ms	(/.f64 y (-.f64 2 (+.f64 x y)))

simplify96.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4977	2493
1	4977	2493

prune81.0ms (4.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	124	3	127

Merged error: 0b

Counts

127 → 3

Compiler

Compiled 2795 to 1407 computations (49.7% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 2 (+.f64 x y)))
0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))

rewrite31.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64`
47×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
24×	`associate-r_binary64` `add-cube-cbrt_binary64`
15×	`add-exp-log_binary64` `distribute-lft-out--_binary64`
9×	`add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64` `associate-l_binary64`
4×	`flip3--_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
3×	`unswap-sqr_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 98

Calls

2 calls:

19.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))
8.0ms	(/.f64 1 (-.f64 2 (+.f64 x y)))

series14.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))
6.0ms	(/.f64 1 (-.f64 2 (+.f64 x y)))

simplify93.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4982	1620
1	4982	1620

prune61.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Merged error: 0b

Counts

107 → 3

Compiler

Compiled 1760 to 920 computations (47.7% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
0.1b	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3)
5.5b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))

rewrite59.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

258×	`*-un-lft-identity_binary64`
180×	`add-sqr-sqrt_binary64`
150×	`times-frac_binary64`
83×	`distribute-lft-out--_binary64`
78×	`cbrt-prod_binary64`
72×	`unpow-prod-down_binary64` `cube-prod_binary64`
66×	`add-cube-cbrt_binary64`
57×	`difference-of-squares_binary64`
26×	`distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
5×	`associate-/l*_binary64` `div-inv_binary64`
4×	`pow1_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 238

Calls

3 calls:

16.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))
15.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3)
14.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series41.0ms (2%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3)
9.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))
8.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

simplify128.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5262	6210

prune164.0ms (8.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	247	3	250

Merged error: 0b

Counts

250 → 3

Compiler

Compiled 4903 to 2406 computations (50.9% saved)

regimes67.0ms (3.4%)

Compiler: Compiled 136 to 109 computations (19.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	22
1	45	22

end0.0ms (0%)

sample598.0ms (30.2%)

Algorithm

1×

intervals

Results

206.0ms	7998×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Compiler

Compiled 78 to 59 computations (24.4% saved)

Details

analyze33.0ms (1.6%)

sample16.0ms (0.8%)

simplify233.0ms (11.7%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite13.0ms (0.7%)

series8.0ms (0.4%)

simplify74.0ms (3.7%)

prune41.0ms (2.1%)

localize7.0ms (0.4%)

rewrite64.0ms (3.2%)

series29.0ms (1.5%)

simplify96.0ms (4.9%)

prune81.0ms (4.1%)

localize7.0ms (0.4%)

rewrite31.0ms (1.6%)

series14.0ms (0.7%)

simplify93.0ms (4.7%)

prune61.0ms (3.1%)

localize8.0ms (0.4%)

rewrite59.0ms (3%)

series41.0ms (2%)

simplify128.0ms (6.5%)

prune164.0ms (8.3%)

regimes67.0ms (3.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

end0.0ms (0%)

sample598.0ms (30.2%)

Profiling