Details

analyze33.0ms

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
43.7%	56.2%	0.1%	5
65.6%	34.3%	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

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-/r*_binary64` `distribute-lft-out_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip-+_binary64`

Counts

1 → 34

Calls

1 calls:

6.0ms

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

series200.0ms

Counts

1 → 3

Calls

1 calls:

200.0ms

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

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	319	294
1	319	294
0	31	39
1	31	39
0	319	294
1	319	294
0	31	39
1	31	39
0	75	57
1	75	57

simplify153.0ms

Counts

37 → 37

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4917	440
1	4917	440

prune21.0ms

Filtered

27 candidates to 37 candidates (-37.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0b

Counts

38 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x y))
0.2b	(*.f64 x (/.f64 1 (+.f64 x y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `insert-posit16` `flip-+_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 → 80

Calls

2 calls:

6.0ms	(/.f64 1 (+.f64 x y))
12.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))

series598.0ms

Counts

2 → 6

Calls

2 calls:

370.0ms	(/.f64 1 (+.f64 x y))
228.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	369	411
1	369	411
0	7	9
1	7	9
0	369	411
1	369	411
0	7	9
1	7	9
0	1	3
1	1	3
0	284	264
1	284	264
0	9	9
1	9	9
0	284	264
1	284	264
0	9	9
1	9	9
0	5086	12

simplify132.0ms

Counts

86 → 86

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5460	870

prune35.0ms

Filtered

50 candidates to 86 candidates (-72.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	86	4	90

Merged error: 0b

Counts

90 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.5b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
19×	`associate-/r*_binary64`
16×	`distribute-lft-out_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `insert-posit16`
1×	`flip3-+_binary64` `associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

2 → 123

Calls

2 calls:

7.0ms	(/.f64 (+.f64 x y) x)
10.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))

series796.0ms

Counts

2 → 6

Calls

2 calls:

244.0ms	(/.f64 (+.f64 x y) x)
552.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	447	543
1	447	543
0	15	9
1	15	9
0	447	543
1	447	543
0	15	9
1	15	9
0	5574	39
0	321	246
1	321	246
0	9	9
1	9	9
0	321	246
1	321	246
0	9	9
1	9	9
0	1	3
1	1	3

simplify147.0ms

Counts

129 → 129

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4894	1993
1	4894	1993

prune52.0ms

Filtered

75 candidates to 129 candidates (-72.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	129	4	133

Merged error: 0b

Counts

133 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
10.9b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
46×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`cbrt-prod_binary64`
36×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`associate-/r*_binary64` `pow1_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `associate-/l*_binary64` `insert-posit16`
2×	`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` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 144

Calls

3 calls:

6.0ms	(/.f64 x (+.f64 x y))
9.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
9.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

series618.0ms

Counts

3 → 9

Calls

3 calls:

206.0ms	(/.f64 x (+.f64 x y))
261.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
151.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	120	1724
1	120	1724
0	100	1188
1	100	1188
0	120	1724
1	120	1724
0	100	1188
1	100	1188
0	1	3
1	1	3
0	457	621
1	457	621
0	69	69
1	69	69
0	457	621
1	457	621
0	69	69
1	69	69
0	57	47
1	57	47
0	319	294
1	319	294
0	31	39
1	31	39
0	319	294
1	319	294
0	31	39
1	31	39
0	75	57
1	75	57

simplify120.0ms

Counts

153 → 153

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5388	2155

prune48.0ms

Filtered

73 candidates to 153 candidates (-109.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	153	4	157

Merged error: 0b

Counts

157 → 4

regimes29.0ms

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	6	7
1	6	7

end0.0ms

sample267.0ms

Algorithm

intervals

Results

142.0ms

8000×

body

valid

Details

analyze33.0ms

sample10.0ms

simplify20.0ms

prune2.0ms

localize7.0ms

rewrite8.0ms

series200.0ms

simplify153.0ms

prune21.0ms

localize5.0ms

rewrite22.0ms

series598.0ms

simplify132.0ms

prune35.0ms

localize4.0ms

rewrite23.0ms

series796.0ms

simplify147.0ms

prune52.0ms

localize6.0ms

rewrite31.0ms

series618.0ms

simplify120.0ms

prune48.0ms

regimes29.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample267.0ms

Profiling