Details

analyze12.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample20.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify162.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	166	17
1	166	17

prune16.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity_binary64`
56×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
30×	`sqrt-prod_binary64`
26×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `associate-/r/_binary64`
3×	`add-log-exp_binary64` `insert-posit16`
2×	`flip3-+_binary64` `associate-/l/_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64` `sqrt-div_binary64`

Counts

3 → 103

Calls

3 calls:

11.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
215.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

series1.3s

Counts

3 → 9

Calls

3 calls:

587.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
168.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
564.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4984	682
1	4984	682
0	4984	682
1	4984	682
0	5544	15
0	105	1708
1	105	1708
0	105	1708
1	105	1708
0	5088	14
0	5218	1140
0	5218	1140
0	5291	15

simplify129.0ms

Counts

112 → 112

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4952	2008
1	4952	2008

prune97.0ms

Filtered

74 candidates to 112 candidates (-51.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	2	113

Merged error: 0b

Counts

113 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
0.0b	(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

187×	`*-un-lft-identity_binary64`
125×	`add-sqr-sqrt_binary64`
120×	`times-frac_binary64`
66×	`cbrt-prod_binary64`
62×	`add-cube-cbrt_binary64`
60×	`unpow-prod-down_binary64` `cube-prod_binary64`
42×	`difference-of-squares_binary64`
31×	`distribute-lft-out_binary64`
21×	`distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
5×	`flip3-+_binary64` `pow1_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `insert-posit16`
3×	`pow-unpow_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` `flip3--_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`

Counts

4 → 218

Calls

4 calls:

1.0ms	(atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))
14.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
15.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
14.0ms	(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)

series1.8s

Counts

4 → 12

Calls

4 calls:

275.0ms	(atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))
555.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
270.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
675.0ms	(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	5411	960
0	5411	960
0	5556	15
0	106	1717
1	106	1717
0	106	1717
1	106	1717
0	4967	14
1	4967	14
0	4984	682
1	4984	682
0	4984	682
1	4984	682
0	5544	15
0	122	1753
1	122	1753
0	122	1753
1	122	1753
0	4969	18
1	4969	18

simplify164.0ms

Counts

230 → 230

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4968	4445
1	4968	4445

prune127.0ms

Filtered

103 candidates to 230 candidates (-123.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	230	2	232

Merged error: 0b

Counts

232 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))
0.0b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

191×	`*-un-lft-identity_binary64`
129×	`add-sqr-sqrt_binary64`
120×	`times-frac_binary64` `sqrt-prod_binary64`
72×	`cbrt-prod_binary64`
66×	`add-cube-cbrt_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
42×	`difference-of-squares_binary64`
31×	`distribute-lft-out_binary64`
21×	`distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
5×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `insert-posit16`
3×	`pow-unpow_binary64` `pow-pow_binary64`
2×	`associate-/l/_binary64` `sqr-pow_binary64` `cube-div_binary64` `unpow3_binary64` `sqrt-div_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `pow1/2_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `sqrt-pow2_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64` `pow-exp_binary64`

Counts

4 → 231

Calls

4 calls:

1.0ms	(atan.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)))
11.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
17.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))
16.0ms	(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)

series2.0s

Counts

4 → 12

Calls

4 calls:

286.0ms	(atan.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)))
561.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
274.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))
838.0ms	(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	5737	1345
0	5737	1345
0	5376	15
0	114	1735
1	114	1735
0	114	1735
1	114	1735
0	4967	14
1	4967	14
0	4984	682
1	4984	682
0	4984	682
1	4984	682
0	5544	15
0	122	1753
1	122	1753
0	122	1753
1	122	1753
0	4968	16
1	4968	16

simplify156.0ms

Counts

243 → 243

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5705	5376

prune137.0ms

Filtered

109 candidates to 243 candidates (-122.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	243	2	245

Merged error: 0b

Counts

245 → 2

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	22
1	26	22

end0.0ms

sample475.0ms

Algorithm

intervals

Results

373.0ms

8000×

body

valid

Details

analyze12.0ms

sample20.0ms

simplify162.0ms

prune16.0ms

localize9.0ms

rewrite233.0ms

series1.3s

simplify129.0ms

prune97.0ms

localize10.0ms

rewrite60.0ms

series1.8s

simplify164.0ms

prune127.0ms

localize12.0ms

rewrite62.0ms

series2.0s

simplify156.0ms

prune137.0ms

regimes27.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample475.0ms

Profiling