Details

analyze59.0ms

Algorithm

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	258×	pre	80	true
0.0ms	2×	body	80	invalid

simplify236.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4989	19
1	4989	19

prune4.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64`
10×	`add-cube-cbrt_binary64` `associate-l_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`pow1_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`sub-neg_binary64`
4×	`distribute-lft-out--_binary64` `insert-posit16` `frac-times_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 102

Calls

4 calls:

8.0ms	(*.f64 m (-.f64 1 m))
11.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
229.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

series2.8s

Counts

4 → 12

Calls

4 calls:

458.0ms	(*.f64 m (-.f64 1 m))
757.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
140.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
1.5s	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	51529	9
0	51529	9
0	1	3
1	1	3
0	956	9
1	956	9
0	956	9
1	956	9
0	1	3
1	1	3
0	31039	9
0	31039	9
0	1	3
1	1	3
0	6684	9
1	6684	9
0	6684	9
1	6684	9
0	1	3
1	1	3

simplify97.0ms

Counts

114 → 114

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5068	1827

prune112.0ms

Filtered

83 candidates to 114 candidates (-37.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	5	115

Merged error: 0.0b

Counts

115 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times_binary64`
27×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64` `flip3--_binary64` `flip--_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-*l/_binary64`
14×	`associate-r_binary64`
12×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
11×	`pow1_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-l_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `distribute-lft-out--_binary64` `insert-posit16` `sqrt-prod_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 128

Calls

4 calls:

15.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
26.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
19.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))

series3.4s

Counts

4 → 12

Calls

4 calls:

750.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
139.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
1.2s	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
1.3s	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 1 (sqrt.f64 m)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	51506	9
0	51506	9
0	1	3
1	1	3
0	31128	9
0	31128	9
0	1	3
1	1	3
0	956	9
1	956	9
0	956	9
1	956	9
0	1	3
1	1	3
0	31039	9
0	31039	9
0	1	3
1	1	3

simplify124.0ms

Counts

140 → 140

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5044	3939

prune157.0ms

Filtered

103 candidates to 140 candidates (-35.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	140	5	145

Merged error: 0.0b

Counts

145 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v)) 1)
0.1b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v)) 1) (-.f64 1 m))
0.3b	(/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))
0.4b	(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac_binary64`
94×	`add-sqr-sqrt_binary64`
66×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
53×	`add-cube-cbrt_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`difference-of-squares_binary64`
13×	`associate-l_binary64`
12×	`associate-/r*_binary64`
11×	`associate-/l*_binary64`
9×	`div-inv_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `difference-of-sqr-1_binary64`
4×	`associate-*r/_binary64` `insert-posit16` `frac-times_binary64`
3×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 188

Calls

4 calls:

37.0ms	(-.f64 (/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v)) 1)
41.0ms	(.f64 (-.f64 (/.f64 (/.f64 (.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v)) 1) (-.f64 1 m))
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))
14.0ms	(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))

series772.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(-.f64 (/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v)) 1)
269.0ms	(.f64 (-.f64 (/.f64 (/.f64 (.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v)) 1) (-.f64 1 m))
114.0ms	(/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))
131.0ms	(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	725	9
1	725	9
0	725	9
1	725	9
0	1	3
1	1	3
0	625	9
1	625	9
0	625	9
1	625	9
0	1	3
1	1	3
0	2183	9
1	2183	9
0	2183	9
1	2183	9
0	1	3
1	1	3
0	2045	9
1	2045	9
0	2045	9
1	2045	9
0	1	3
1	1	3

simplify121.0ms

Counts

200 → 200

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5075	4481

prune134.0ms

Filtered

115 candidates to 200 candidates (-73.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	200	5	205

Merged error: 0b

Counts

205 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (-.f64 (/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v)) 1))
0.4b	(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
0.4b	(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))
0.4b	(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac_binary64`
114×	`add-sqr-sqrt_binary64`
111×	`sqrt-prod_binary64`
100×	`*-un-lft-identity_binary64`
92×	`add-cube-cbrt_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`associate-/l*_binary64` `cbrt-prod_binary64`
16×	`div-inv_binary64`
12×	`associate-/r*_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
8×	`difference-of-squares_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1_binary64` `difference-of-sqr-1_binary64` `insert-posit16`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 230

Calls

4 calls:

27.0ms	(cbrt.f64 (-.f64 (/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v)) 1))
10.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
15.0ms	(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))
14.0ms	(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))

series369.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(cbrt.f64 (-.f64 (/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v)) 1))
52.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
134.0ms	(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))
130.0ms	(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	725	9
1	725	9
0	725	9
1	725	9
0	1	3
1	1	3
0	725	9
1	725	9
0	725	9
1	725	9
0	1	3
1	1	3
0	76	9
1	76	9
0	76	9
1	76	9
0	1	3
1	1	3
0	109	9
1	109	9
0	109	9
1	109	9
0	1	3
1	1	3

simplify124.0ms

Counts

242 → 242

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5261	5664

prune293.0ms

Filtered

129 candidates to 242 candidates (-87.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	242	5	247

Merged error: 0b

Counts

247 → 5

regimes48.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms

sample548.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
147.0ms	8056×	pre	80	true
2.0ms	56×	body	80	invalid

Iter	Nodes	Cost
0	725	9
1	725	9
0	725	9
1	725	9
0	1	3
1	1	3
0	725	9
1	725	9
0	725	9
1	725	9
0	1	3
1	1	3
0	76	9
1	76	9
0	76	9
1	76	9
0	1	3
1	1	3
0	109	9
1	109	9
0	109	9
1	109	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	725	9
1	725	9
0	725	9
1	725	9
0	1	3
1	1	3
0	725	9
1	725	9
0	725	9
1	725	9
0	1	3
1	1	3
0	76	9
1	76	9
0	76	9
1	76	9
0	1	3
1	1	3
0	109	9
1	109	9
0	109	9
1	109	9
0	1	3
1	1	3

Details

analyze59.0ms

sample23.0ms

simplify236.0ms

prune4.0ms

localize9.0ms

rewrite263.0ms

series2.8s

simplify97.0ms

prune112.0ms

localize11.0ms

rewrite77.0ms

series3.4s

simplify124.0ms

prune157.0ms

localize11.0ms

rewrite112.0ms

series772.0ms

simplify121.0ms

prune134.0ms

localize17.0ms

rewrite84.0ms

series369.0ms

simplify124.0ms

prune293.0ms

regimes48.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample548.0ms

Profiling

Iter	Nodes	Cost
0	725	9
1	725	9
0	725	9
1	725	9
0	1	3
1	1	3
0	725	9
1	725	9
0	725	9
1	725	9
0	1	3
1	1	3
0	76	9
1	76	9
0	76	9
1	76	9
0	1	3
1	1	3
0	109	9
1	109	9
0	109	9
1	109	9
0	1	3
1	1	3