Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample13.0ms (1%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify100.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize11.0ms (0.9%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 x (+.f64 x 1))

rewrite18.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64_5193`
39×	`add-sqr-sqrt_binary64_5215`
33×	`times-frac_binary64_5199`
23×	`add-cube-cbrt_binary64_5228`
11×	`associate-/r*_binary64_5137`
8×	`add-exp-log_binary64_5231` `difference-of-squares_binary64_5162`
6×	`add-cbrt-cube_binary64_5229` `associate-/l*_binary64_5138`
4×	`distribute-lft-out--_binary64_5145` `difference-of-sqr-1_binary64_5163` `distribute-lft-out_binary64_5144` `associate-/r/_binary64_5139`
3×	`div-exp_binary64_5244` `pow1_binary64_5254`
2×	`add-log-exp_binary64_5232` `div-inv_binary64_5190` `cbrt-undiv_binary64_5227` `clear-num_binary64_5192` `frac-2neg_binary64_5204`
1×	`flip3--_binary64_5197` `flip--_binary64_5168` `flip-+_binary64_5167` `flip3-+_binary64_5196` `1-exp_binary64_5237` `pow-flip_binary64_5267` `rec-exp_binary64_5243` `inv-pow_binary64_5278`

Counts

2 → 82

Calls

2 calls:

6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 x (+.f64 x 1))

series24.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 x (+.f64 x 1))
9.0ms	(/.f64 1 (-.f64 x 1))

simplify78.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5329	1141

prune80.0ms (6.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	1	89

Error

Counts

89 → 1

Compiler

Compiled 1504 to 1097 computations (27.1% saved)

localize12.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x -1))
0.0b	(/.f64 x (+.f64 x 1))
0.2b	(pow.f64 (/.f64 1 (+.f64 x -1)) 3)
21.2b	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))

rewrite45.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`*-un-lft-identity_binary64_5193`
87×	`times-frac_binary64_5199`
77×	`add-sqr-sqrt_binary64_5215`
61×	`add-cube-cbrt_binary64_5228`
48×	`cbrt-prod_binary64_5224`
42×	`cube-prod_binary64_5221` `unpow-prod-down_binary64_5272`
20×	`distribute-lft-out_binary64_5144`
16×	`difference-of-sqr--1_binary64_5164`
15×	`add-exp-log_binary64_5231`
12×	`associate-/r/_binary64_5139`
11×	`add-cbrt-cube_binary64_5229`
9×	`associate-/r*_binary64_5137`
7×	`pow1_binary64_5254`
6×	`associate-/l*_binary64_5138` `flip-+_binary64_5167` `div-inv_binary64_5190` `flip3-+_binary64_5196`
5×	`div-exp_binary64_5244`
4×	`add-log-exp_binary64_5232` `pow-exp_binary64_5261`
3×	`pow-unpow_binary64_5270` `pow-pow_binary64_5265` `cbrt-undiv_binary64_5227`
2×	`unpow3_binary64_5259` `cube-div_binary64_5222` `clear-num_binary64_5192` `cube-mult_binary64_5223` `1-exp_binary64_5237` `pow-flip_binary64_5267` `rem-cube-cbrt_binary64_5216` `rec-exp_binary64_5243` `inv-pow_binary64_5278` `sqr-pow_binary64_5165` `frac-2neg_binary64_5204`
1×	`cbrt-div_binary64_5225` `pow-to-exp_binary64_5262` `rem-cbrt-cube_binary64_5217` `pow1/3_binary64_5275`

Counts

4 → 198

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))
8.0ms	(pow.f64 (/.f64 1 (+.f64 x -1)) 3)
6.0ms	(/.f64 1 (+.f64 x -1))
5.0ms	(/.f64 x (+.f64 x 1))

series45.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))
12.0ms	(/.f64 x (+.f64 x 1))
12.0ms	(pow.f64 (/.f64 1 (+.f64 x -1)) 3)
8.0ms	(/.f64 1 (+.f64 x -1))

simplify99.0ms (8.1%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5150	2789

prune234.0ms (19.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	210	1	211

Error

Counts

211 → 1

Compiler

Compiled 3888 to 3022 computations (22.3% saved)

regimes19.0ms (1.5%)

Accuracy

Total 0.0b remaining (44.2%)

Threshold costs 0.0b (44.2%)

Compiler

Compiled 98 to 82 computations (16.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	18
1	15	18

end0.0ms (0%)

sample437.0ms (35.7%)

Algorithm

1×

intervals

Results

248.0ms

8000×

body

128

valid

Compiler

Compiled 61 to 52 computations (14.8% saved)

Details

analyze4.0ms (0.3%)

sample13.0ms (1%)

simplify100.0ms (8.2%)

prune3.0ms (0.2%)

localize11.0ms (0.9%)

rewrite18.0ms (1.4%)

series24.0ms (1.9%)

simplify78.0ms (6.4%)

prune80.0ms (6.5%)

localize12.0ms (1%)

rewrite45.0ms (3.7%)

series45.0ms (3.7%)

simplify99.0ms (8.1%)

prune234.0ms (19.2%)

regimes19.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample437.0ms (35.7%)

Profiling