Details

analyze42.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify41.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	213	10
1	213	10

prune1.0ms

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 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
4×	`associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip--_binary64` `flip-+_binary64`

Counts

1 → 47

Calls

1 calls:

10.0ms

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

series1.2s

Counts

1 → 3

Calls

1 calls:

1.2s	(/.f64 (-.f64 x y) (+.f64 x y))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	21525	9
1	21525	9
0	21525	9
1	21525	9
0	1	3
1	1	3

simplify147.0ms

Counts

50 → 50

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5066	822

prune27.0ms

Filtered

33 candidates to 50 candidates (-51.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Merged error: 0b

Counts

51 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
29×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-l_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
5×	`pow1_binary64` `associate-r_binary64`
4×	`associate-/r*_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `rec-exp_binary64` `div-inv_binary64` `insert-posit16` `flip--_binary64` `flip-+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 87

Calls

2 calls:

7.0ms	(/.f64 1 (+.f64 x y))
16.0ms	(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))

series2.1s

Counts

2 → 6

Calls

2 calls:

640.0ms	(/.f64 1 (+.f64 x y))
1.4s	(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	27965	9
0	27965	9
0	1	3
1	1	3
0	21198	9
1	21198	9
0	21198	9
1	21198	9
0	1	3
1	1	3

simplify176.0ms

Counts

93 → 93

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4957	1110
1	4957	1110

prune44.0ms

Filtered

55 candidates to 93 candidates (-69.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	93	5	98

Merged error: 0b

Counts

98 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))
0.2b	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity_binary64`
76×	`add-sqr-sqrt_binary64`
68×	`times-frac_binary64`
55×	`sqrt-prod_binary64`
40×	`add-cube-cbrt_binary64`
38×	`associate-r_binary64`
17×	`distribute-lft-out_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-l_binary64` `associate-/l*_binary64`
6×	`unswap-sqr_binary64` `sqrt-div_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 132

Calls

2 calls:

11.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))
27.0ms	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))

series2.4s

Counts

2 → 6

Calls

2 calls:

1.3s	(/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y))
1.1s	(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	17326	9
1	17326	9
0	17326	9
1	17326	9
0	1	3
1	1	3
0	27052	9
0	27052	9
0	1	3
1	1	3

simplify93.0ms

Counts

138 → 138

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5951	2632

prune58.0ms

Filtered

76 candidates to 138 candidates (-81.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	138	5	143

Merged error: 0b

Counts

143 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

126×	`*-un-lft-identity_binary64`
88×	`add-sqr-sqrt_binary64`
82×	`times-frac_binary64`
52×	`sqrt-prod_binary64`
46×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64`
18×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/l*_binary64`
8×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
6×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `insert-posit16` `flip-+_binary64`
2×	`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

4 → 172

Calls

4 calls:

10.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
10.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
10.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
10.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series4.6s

Counts

4 → 12

Calls

4 calls:

1.0s	(sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
1.2s	(sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
1.3s	(/.f64 (-.f64 x y) (+.f64 x y))
1.2s	(/.f64 (-.f64 x y) (+.f64 x y))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	21525	9
1	21525	9
0	21525	9
1	21525	9
0	1	3
1	1	3
0	21525	9
1	21525	9
0	21525	9
1	21525	9
0	1	3
1	1	3
0	19102	9
1	19102	9
0	19102	9
1	19102	9
0	1	3
1	1	3
0	19102	9
1	19102	9
0	19102	9
1	19102	9
0	1	3
1	1	3

simplify137.0ms

Counts

184 → 184

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5233	3262

prune95.0ms

Filtered

122 candidates to 184 candidates (-50.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	184	5	189

Merged error: 0b

Counts

189 → 5

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample289.0ms

Algorithm

intervals

Results

168.0ms

8000×

body

valid

Details

analyze42.0ms

sample11.0ms

simplify41.0ms

prune1.0ms

localize9.0ms

rewrite12.0ms

series1.2s

simplify147.0ms

prune27.0ms

localize6.0ms

rewrite27.0ms

series2.1s

simplify176.0ms

prune44.0ms

localize7.0ms

rewrite46.0ms

series2.4s

simplify93.0ms

prune58.0ms

localize6.0ms

rewrite47.0ms

series4.6s

simplify137.0ms

prune95.0ms

regimes35.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample289.0ms

Profiling