Details

analyze52.0ms

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

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify422.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (263.0ms)

Iter	Nodes	Cost
0	4739	16
1	4739	16

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

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

12.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
9.0ms	(*.f64 m (-.f64 1 m))
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
228.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

series1.0s

Counts

4 → 12

Calls

4 calls:

337.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
223.0ms	(*.f64 m (-.f64 1 m))
223.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
230.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	6343	171
0	6343	171
0	1	3
1	1	3
0	646	67
1	646	67
0	646	67
1	646	67
0	1	3
1	1	3
0	381	334
1	381	334
0	381	334
1	381	334
0	5202	15
0	6276	79
0	6276	79
0	4929	21
1	4929	21

simplify85.0ms

Counts

103 → 103

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4967	1383
1	4967	1383

prune89.0ms

Filtered

76 candidates to 103 candidates (-35.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac_binary64`
174×	`add-sqr-sqrt_binary64`
140×	`*-un-lft-identity_binary64`
82×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
18×	`distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
11×	`associate-/r/_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `difference-of-sqr-1_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64` `insert-posit16`
3×	`associate-r_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 210

Calls

4 calls:

42.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
7.0ms	(/.f64 v (-.f64 1 m))
13.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
43.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

series1.2s

Counts

4 → 12

Calls

4 calls:

269.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
350.0ms	(/.f64 v (-.f64 1 m))
295.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
258.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	4739	692
1	4739	692
0	4739	692
1	4739	692
0	1	3
1	1	3
0	24	72
1	24	72
0	24	72
1	24	72
0	1	3
1	1	3
0	806	122
1	806	122
0	806	122
1	806	122
0	5081	9
0	4930	776
1	4930	776
0	4930	776
1	4930	776
0	1	3
1	1	3

simplify118.0ms

Counts

222 → 222

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5724	4309

prune165.0ms

Filtered

156 candidates to 222 candidates (-42.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	222	8	230

Merged error: 0.0b

Counts

230 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m))
0.4b	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m)) (sqrt.f64 m))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

9.0ms	(*.f64 m (-.f64 1 m))
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
21.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m))
20.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m)) (sqrt.f64 m))

series787.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(*.f64 m (-.f64 1 m))
219.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
224.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m))
118.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (sqrt.f64 m)) (sqrt.f64 m))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	228	2265
1	228	2265
0	228	2265
1	228	2265
0	1	3
1	1	3
0	6416	412
0	6416	412
0	1	3
1	1	3
0	646	67
1	646	67
0	646	67
1	646	67
0	1	3
1	1	3
0	381	334
1	381	334
0	381	334
1	381	334
0	5202	15

simplify86.0ms

Counts

115 → 115

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5093	1640

prune87.0ms

Filtered

77 candidates to 115 candidates (-49.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	115	8	123

Merged error: 0.0b

Counts

123 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v)) 1)
0.0b	(*.f64 m (-.f64 1 m))
0.1b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) m)
0.7b	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

15.0ms	(-.f64 (.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v)) 1)
9.0ms	(*.f64 m (-.f64 1 m))
18.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) m)
14.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))

series1.5s

Counts

4 → 12

Calls

4 calls:

465.0ms	(-.f64 (.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v)) 1)
225.0ms	(*.f64 m (-.f64 1 m))
473.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) m)
310.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	814	53
1	814	53
0	814	53
1	814	53
0	1	3
1	1	3
0	850	132
1	850	132
0	850	132
1	850	132
0	4846	9
1	4846	9
0	381	334
1	381	334
0	381	334
1	381	334
0	5202	15
0	826	53
1	826	53
0	826	53
1	826	53
0	5229	27

simplify117.0ms

Counts

114 → 114

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5018	1478

prune71.0ms

Filtered

78 candidates to 114 candidates (-46.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	114	8	122

Merged error: 0.0b

Counts

122 → 8

regimes60.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample538.0ms

Algorithm

intervals

Results

236.0ms	8000×	body	80	valid
151.0ms	8063×	pre	80	true
2.0ms	63×	body	80	invalid

Details

analyze52.0ms

sample22.0ms

simplify422.0ms

prune4.0ms

localize9.0ms

rewrite263.0ms

series1.0s

simplify85.0ms

prune89.0ms

localize10.0ms

rewrite120.0ms

series1.2s

simplify118.0ms

prune165.0ms

localize9.0ms

rewrite63.0ms

series787.0ms

simplify86.0ms

prune87.0ms

localize8.0ms

rewrite61.0ms

series1.5s

simplify117.0ms

prune71.0ms

regimes60.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample538.0ms

Profiling