Details

analyze363.0ms

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	40×	body	80	invalid

simplify109.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5101	13

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: 11.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
10.4b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `insert-posit16` `flip-+_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

15.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))
13.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

series113.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))
56.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	108	9
1	108	9
0	108	9
1	108	9
0	1	3
1	1	3
0	99	9
1	99	9
0	99	9
1	99	9
0	1	3
1	1	3

simplify109.0ms

Counts

55 → 55

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4971	663
1	4971	663

prune42.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (+.f64 (-.f64 y z) 1))
1.9b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
138×	`times-frac_binary64`
70×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
32×	`distribute-lft-out_binary64`
26×	`associate-/r*_binary64`
16×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `insert-posit16`

Counts

2 → 141

Calls

2 calls:

10.0ms	(/.f64 z (+.f64 (-.f64 y z) 1))
16.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

series921.0ms

Counts

2 → 6

Calls

2 calls:

853.0ms	(/.f64 z (+.f64 (-.f64 y z) 1))
67.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9
0	168	9
1	168	9
0	1	3
1	1	3
0	30186	9
0	30186	9
0	1	3
1	1	3

simplify117.0ms

Counts

147 → 147

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5176	3167

prune88.0ms

Filtered

94 candidates to 147 candidates (-56.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	149	5	154

Merged error: 0b

Counts

154 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 y z) 1) z)
2.2b	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
27×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
14×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out--_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `associate-+l-_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 78

Calls

2 calls:

11.0ms	(/.f64 (+.f64 (-.f64 y z) 1) z)
15.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

series1.1s

Counts

2 → 6

Calls

2 calls:

1.1s	(/.f64 (+.f64 (-.f64 y z) 1) z)
60.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	132	9
1	132	9
0	132	9
1	132	9
0	1	3
1	1	3
0	27200	9
0	27200	9
0	1	3
1	1	3

simplify106.0ms

Counts

84 → 84

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4984	1231
1	4984	1231

prune44.0ms

Filtered

52 candidates to 84 candidates (-61.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 (-.f64 y z) 1))
8.3b	(/.f64 (/.f64 x z) (/.f64 1 (+.f64 (-.f64 y z) 1)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac_binary64`
522×	`*-un-lft-identity_binary64`
292×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
92×	`distribute-lft-out_binary64`
46×	`distribute-lft-out--_binary64`
38×	`div-inv_binary64`
31×	`associate-/r/_binary64`
28×	`add-exp-log_binary64`
26×	`associate-/r*_binary64`
18×	`div-exp_binary64`
16×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
15×	`flip3-+_binary64` `flip-+_binary64`
9×	`cbrt-undiv_binary64`
3×	`pow1_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `insert-posit16`
1×	`associate-/l/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 374

Calls

2 calls:

10.0ms	(/.f64 1 (+.f64 (-.f64 y z) 1))
23.0ms	(/.f64 (/.f64 x z) (/.f64 1 (+.f64 (-.f64 y z) 1)))

series870.0ms

Counts

2 → 6

Calls

2 calls:

803.0ms	(/.f64 1 (+.f64 (-.f64 y z) 1))
67.0ms	(/.f64 (/.f64 x z) (/.f64 1 (+.f64 (-.f64 y z) 1)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	173	9
1	173	9
0	173	9
1	173	9
0	1	3
1	1	3
0	17579	9
1	17579	9
0	17579	9
1	17579	9
0	1	3
1	1	3

simplify166.0ms

Counts

380 → 380

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5906	11209

prune197.0ms

Filtered

181 candidates to 380 candidates (-109.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	380	0	380
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	380	5	385

Merged error: 0b

Counts

385 → 5

regimes78.0ms

Accuracy

94.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.3b

bsearch31.0ms

Steps

Iters	Range		Point
9	3371471.627302327	288016472218926.25	10774447.658792978
8	-1.8363294581397878e+50	-3.93872944745273e+45	-4.0256097874994644e+45

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	54
1	34	54

end0.0ms

sample440.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	80	valid
29.0ms	1070×	body	80	invalid

Details

analyze363.0ms

sample16.0ms

simplify109.0ms

prune1.0ms

localize6.0ms

rewrite30.0ms

series113.0ms

simplify109.0ms

prune42.0ms

localize6.0ms

rewrite35.0ms

series921.0ms

simplify117.0ms

prune88.0ms

localize6.0ms

rewrite30.0ms

series1.1s

simplify106.0ms

prune44.0ms

localize9.0ms

rewrite68.0ms

series870.0ms

simplify166.0ms

prune197.0ms

regimes78.0ms

bsearch31.0ms

simplify7.0ms

end0.0ms

sample440.0ms

Profiling