Details

analyze37.0ms (0.9%)

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)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify304.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (214.0ms)

Iter	Nodes	Cost
0	2142	13
1	2142	13

prune2.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64_20197`
40×	`add-sqr-sqrt_binary64_20219`
30×	`times-frac_binary64_20203`
19×	`distribute-lft-out--_binary64_20149`
14×	`add-cube-cbrt_binary64_20232`
13×	`difference-of-squares_binary64_20166`
6×	`associate-/r*_binary64_20141` `distribute-lft-out_binary64_20148`
5×	`associate-/l*_binary64_20142`
3×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
2×	`flip3--_binary64_20201` `associate-/r/_binary64_20143` `associate-/l/_binary64_20144` `flip--_binary64_20172`
1×	`div-sub_binary64_20202` `frac-2neg_binary64_20208` `clear-num_binary64_20196` `add-log-exp_binary64_20236` `div-inv_binary64_20194` `div-exp_binary64_20248` `cbrt-undiv_binary64_20231` `pow1_binary64_20258`

Counts

1 → 58

Calls

1 calls:

12.0ms

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

series167.0ms (4.2%)

Counts

1 → 24

Calls

1 calls:

167.0ms

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

Compiler

Compiled 782 to 650 computations (16.9% saved)

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5129	2264

prune82.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	3	83

Error

Counts

83 → 3

Compiler

Compiled 1723 to 841 computations (51.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite55.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

292×	`*-un-lft-identity_binary64_20197`
258×	`times-frac_binary64_20203`
214×	`add-sqr-sqrt_binary64_20219`
100×	`add-cube-cbrt_binary64_20232`
83×	`distribute-lft-out--_binary64_20149`
57×	`difference-of-squares_binary64_20166`
41×	`associate-/r*_binary64_20141`
26×	`distribute-lft-out_binary64_20148`
15×	`add-exp-log_binary64_20235`
11×	`associate-/r/_binary64_20143`
9×	`add-cbrt-cube_binary64_20233` `associate-/l*_binary64_20142`
8×	`div-exp_binary64_20248`
6×	`flip3--_binary64_20201` `div-inv_binary64_20194` `flip--_binary64_20172`
4×	`cbrt-undiv_binary64_20231`
3×	`pow1_binary64_20258`
2×	`frac-2neg_binary64_20208` `clear-num_binary64_20196` `add-log-exp_binary64_20236` `rec-exp_binary64_20247` `associate-/l/_binary64_20144` `1-exp_binary64_20241`
1×	`inv-pow_binary64_20282` `div-sub_binary64_20202` `pow-flip_binary64_20271`

Counts

2 → 226

Calls

2 calls:

15.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
11.0ms	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))

series285.0ms (7.1%)

Counts

2 → 42

Calls

2 calls:

161.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
124.0ms	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))

Compiler

Compiled 1472 to 1246 computations (15.4% saved)

simplify102.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5018	7402

prune273.0ms (6.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	268	3	271

Error

Counts

271 → 3

Compiler

Compiled 5803 to 2765 computations (52.4% saved)

localize7.0ms (0.2%)

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))))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64_20197`
47×	`add-sqr-sqrt_binary64_20219`
38×	`times-frac_binary64_20203`
24×	`add-cube-cbrt_binary64_20232` `associate-r_binary64_20137`
15×	`add-exp-log_binary64_20235` `distribute-lft-out--_binary64_20149`
9×	`add-cbrt-cube_binary64_20233`
8×	`difference-of-squares_binary64_20166`
7×	`distribute-lft-out_binary64_20148`
6×	`associate-/r*_binary64_20141`
5×	`associate-l_binary64_20138` `pow1_binary64_20258`
4×	`flip3--_binary64_20201` `associate-/r/_binary64_20143` `div-exp_binary64_20248` `prod-exp_binary64_20246` `flip--_binary64_20172`
3×	`unswap-sqr_binary64_20165` `associate-/l*_binary64_20142`
2×	`frac-times_binary64_20207` `cbrt-unprod_binary64_20230` `add-log-exp_binary64_20236` `div-inv_binary64_20194` `rec-exp_binary64_20247` `1-exp_binary64_20241` `associate-*l/_binary64_20140` `cbrt-undiv_binary64_20231`
1×	`un-div-inv_binary64_20195` `inv-pow_binary64_20282` `frac-2neg_binary64_20208` `clear-num_binary64_20196` `-commutative_binary64_20128` `pow-prod-down_binary64_20268` `associate-r/_binary64_20139` `pow-flip_binary64_20271`

Counts

2 → 98

Calls

2 calls:

17.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))
7.0ms	(/.f64 1 (-.f64 2 (+.f64 x y)))

series280.0ms (7%)

Counts

2 → 48

Calls

2 calls:

160.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))
120.0ms	(/.f64 1 (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1570 to 1286 computations (18.1% saved)

simplify82.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4960	3578
1	4960	3578

prune149.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	146	3	149

Error

Counts

149 → 3

Compiler

Compiled 3172 to 1736 computations (45.3% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))
0.1b	(*.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))
0.3b	(/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))

rewrite119.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

235×	`*-un-lft-identity_binary64_20197`
205×	`add-sqr-sqrt_binary64_20219`
143×	`times-frac_binary64_20203`
120×	`sqrt-prod_binary64_20213`
65×	`difference-of-squares_binary64_20166`
58×	`add-cube-cbrt_binary64_20232`
56×	`associate-r_binary64_20137`
54×	`distribute-lft-out--_binary64_20149`
43×	`distribute-lft-out_binary64_20148`
32×	`add-exp-log_binary64_20235`
24×	`associate-l_binary64_20138`
20×	`add-cbrt-cube_binary64_20233`
16×	`associate-/r*_binary64_20141`
11×	`div-exp_binary64_20248`
8×	`associate-/r/_binary64_20143` `prod-exp_binary64_20246` `associate-/l*_binary64_20142`
7×	`pow1_binary64_20258`
6×	`add-log-exp_binary64_20236` `unswap-sqr_binary64_20165` `cbrt-undiv_binary64_20231`
4×	`cbrt-unprod_binary64_20230` `div-inv_binary64_20194`
3×	`flip3--_binary64_20201` `rec-exp_binary64_20247` `1-exp_binary64_20241` `flip3-+_binary64_20200` `flip--_binary64_20172` `flip-+_binary64_20171`
2×	`frac-2neg_binary64_20208` `clear-num_binary64_20196` `associate-/l/_binary64_20144`
1×	`inv-pow_binary64_20282` `div-sub_binary64_20202` `frac-times_binary64_20207` `sum-log_binary64_20288` `+-commutative_binary64_20127` `-commutative_binary64_20128` `pow-prod-down_binary64_20268` `associate-r/_binary64_20139` `associate-*l/_binary64_20140` `pow-flip_binary64_20271`

Counts

4 → 251

Calls

4 calls:

53.0ms	(*.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))))
17.0ms	(/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))
7.0ms	(+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))

series651.0ms (16.3%)

Counts

4 → 34

Calls

4 calls:

312.0ms	(*.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))))
166.0ms	(/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))
122.0ms	(/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))
51.0ms	(+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))

Compiler

Compiled 2085 to 1698 computations (18.6% saved)

simplify102.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5448	7599

prune417.0ms (10.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	285	0	285
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	285	3	288

Error

Counts

288 → 3

Compiler

Compiled 8190 to 4056 computations (50.5% saved)

regimes78.0ms (1.9%)

Accuracy

Total 0.0b remaining (84.6%)

Threshold costs 0.0b (84.6%)

Compiler

Compiled 703 to 514 computations (26.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample639.0ms (16%)

Algorithm

1×

intervals

Results

238.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 261 to 191 computations (26.8% saved)

Details

analyze37.0ms (0.9%)

sample13.0ms (0.3%)

simplify304.0ms (7.6%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite20.0ms (0.5%)

series167.0ms (4.2%)

simplify64.0ms (1.6%)

prune82.0ms (2.1%)

localize7.0ms (0.2%)

rewrite55.0ms (1.4%)

series285.0ms (7.1%)

simplify102.0ms (2.5%)

prune273.0ms (6.8%)

localize7.0ms (0.2%)

rewrite32.0ms (0.8%)

series280.0ms (7%)

simplify82.0ms (2.1%)

prune149.0ms (3.7%)

localize14.0ms (0.4%)

rewrite119.0ms (3%)

series651.0ms (16.3%)

simplify102.0ms (2.6%)

prune417.0ms (10.4%)

regimes78.0ms (1.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample639.0ms (16%)

Profiling