Details

analyze31.0ms

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
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify218.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	757	10
1	757	10

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite224.0ms

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×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_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` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip--_binary64` `flip-+_binary64`

Counts

1 → 46

Calls

1 calls:

221.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

series449.0ms

Counts

1 → 3

Calls

1 calls:

448.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	2288	125
1	2288	125
0	2288	125
1	2288	125
0	1	3
1	1	3

simplify108.0ms

Counts

49 → 49

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4953	814
1	4953	814

prune23.0ms

Filtered

32 candidates to 49 candidates (-53.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Merged error: 0.0b

Counts

50 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `insert-posit16` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 f n))
4.0ms	(cbrt.f64 (+.f64 f n))
4.0ms	(cbrt.f64 (+.f64 f n))
13.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))

series801.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt.f64 (+.f64 f n))
199.0ms	(cbrt.f64 (+.f64 f n))
212.0ms	(cbrt.f64 (+.f64 f n))
193.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	354	1662
1	354	1662
0	354	1662
1	354	1662
0	5496	17
0	139	1635
1	139	1635
0	139	1635
1	139	1635
0	5560	14
0	139	1635
1	139	1635
0	139	1635
1	139	1635
0	5560	14
0	139	1635
1	139	1635
0	139	1635
1	139	1635
0	5560	14

simplify150.0ms

Counts

111 → 111

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4963	1418
1	4963	1418

prune68.0ms

Filtered

80 candidates to 111 candidates (-38.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 f n)))
0.5b	(pow.f64 (cbrt.f64 (+.f64 f n)) 2)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod_binary64`
19×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64`
7×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64` `insert-posit16`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 f n))
4.0ms	(cbrt.f64 (+.f64 f n))
5.0ms	(cbrt.f64 (cbrt.f64 (+.f64 f n)))
6.0ms	(pow.f64 (cbrt.f64 (+.f64 f n)) 2)

series790.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt.f64 (+.f64 f n))
199.0ms	(cbrt.f64 (+.f64 f n))
202.0ms	(cbrt.f64 (cbrt.f64 (+.f64 f n)))
189.0ms	(pow.f64 (cbrt.f64 (+.f64 f n)) 2)

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	307	1662
1	307	1662
0	307	1662
1	307	1662
0	5496	17
0	153	1653
1	153	1653
0	153	1653
1	153	1653
0	5561	16
0	139	1635
1	139	1635
0	139	1635
1	139	1635
0	5560	14
0	139	1635
1	139	1635
0	139	1635
1	139	1635
0	5560	14

simplify121.0ms

Counts

84 → 84

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5157	920

prune82.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes22.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample320.0ms

Algorithm

intervals

Results

190.0ms

8000×

body

valid

Details

analyze31.0ms

sample14.0ms

simplify218.0ms

prune6.0ms

localize6.0ms

rewrite224.0ms

series449.0ms

simplify108.0ms

prune23.0ms

localize11.0ms

rewrite28.0ms

series801.0ms

simplify150.0ms

prune68.0ms

localize15.0ms

rewrite21.0ms

series790.0ms

simplify121.0ms

prune82.0ms

regimes22.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample320.0ms

Profiling