Details

analyze263.0ms

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	23×	body	80	invalid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	31	10
1	31	10

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (+.f64 z x)))
0.0b	(*.f64 y (+.f64 z x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `insert-posit16` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 38

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
7.0ms	(*.f64 y (+.f64 z x))

series521.0ms

Counts

2 → 6

Calls

2 calls:

210.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
311.0ms	(*.f64 y (+.f64 z x))

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	262	183
1	262	183
0	21	33
1	21	33
0	262	183
1	262	183
0	21	33
1	21	33
0	5749	3
0	309	219
1	309	219
0	9	9
1	9	9
0	309	219
1	309	219
0	9	9
1	9	9
0	1	3
1	1	3

simplify81.0ms

Counts

44 → 44

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4888	443
1	4888	443

prune28.0ms

Filtered

32 candidates to 44 candidates (-37.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Merged error: 0.0b

Counts

45 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 z x))) (cbrt.f64 (*.f64 y (+.f64 z x))))
3.0b	(cbrt.f64 (*.f64 y (+.f64 z x)))
3.0b	(cbrt.f64 (*.f64 y (+.f64 z x)))
3.0b	(cbrt.f64 (*.f64 y (+.f64 z x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 z x))) (cbrt.f64 (*.f64 y (+.f64 z x))))
5.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))
6.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))
5.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))

series3.6s

Counts

4 → 12

Calls

4 calls:

1.6s	(.f64 (cbrt.f64 (.f64 y (+.f64 z x))) (cbrt.f64 (*.f64 y (+.f64 z x))))
666.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))
664.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))
673.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))

Iterations

Useful iterations: 0 (252.0ms)

Iter	Nodes	Cost
0	131	1692
1	131	1692
0	6133	546
0	131	1692
1	131	1692
0	6133	546
0	50	41
1	50	41
0	131	1692
1	131	1692
0	6133	546
0	131	1692
1	131	1692
0	6133	546
0	50	41
1	50	41
0	131	1692
1	131	1692
0	6133	546
0	131	1692
1	131	1692
0	6133	546
0	50	41
1	50	41
0	205	1845
1	205	1845
0	4873	1587
1	4873	1587
0	205	1845
1	205	1845
0	4873	1587
1	4873	1587
0	4897	22
1	4897	22

simplify129.0ms

Counts

88 → 88

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4933	1186
1	4933	1186

prune63.0ms

Filtered

66 candidates to 88 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	5	92

Merged error: 0b

Counts

92 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 z x))
0.6b	(cbrt.f64 y)
3.0b	(cbrt.f64 (*.f64 y (+.f64 z x)))
3.0b	(cbrt.f64 (*.f64 y (+.f64 z x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64`
6×	`cbrt-div_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-*r/_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16`
3×	`flip3-+_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64`

Counts

4 → 51

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 z x))
1.0ms	(cbrt.f64 y)
5.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))
5.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))

series1.9s

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt.f64 (+.f64 z x))
276.0ms	(cbrt.f64 y)
663.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))
663.0ms	(cbrt.f64 (*.f64 y (+.f64 z x)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	131	1692
1	131	1692
0	6133	546
0	131	1692
1	131	1692
0	6133	546
0	50	41
1	50	41
0	131	1692
1	131	1692
0	6133	546
0	131	1692
1	131	1692
0	6133	546
0	50	41
1	50	41
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	4890	50
1	4890	50
0	84	1650
1	84	1650
0	79	1611
1	79	1611
0	84	1650
1	84	1650
0	79	1611
1	79	1611
0	4915	48
1	4915	48

simplify118.0ms

Counts

63 → 63

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4868	679
1	4868	679

prune53.0ms

Filtered

55 candidates to 63 candidates (-14.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	63	5	68

Merged error: 0b

Counts

68 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (-.f64 z x)))
2.7b	(-.f64 (.f64 z z) (.f64 x x))
8.5b	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
19.4b	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (-.f64 z x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

9.0ms	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (-.f64 z x)))
5.0ms	(-.f64 (.f64 z z) (.f64 x x))
8.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
14.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (-.f64 z x))

series1.2s

Counts

4 → 12

Calls

4 calls:

409.0ms	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (-.f64 z x)))
179.0ms	(-.f64 (.f64 z z) (.f64 x x))
224.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
397.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (-.f64 z x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	658	750
1	658	750
0	33	39
1	33	39
0	658	750
1	658	750
0	33	39
1	33	39
0	71	45
1	71	45
0	342	399
1	342	399
0	8	9
1	8	9
0	342	399
1	342	399
0	8	9
1	8	9
0	1	3
1	1	3
0	234	243
1	234	243
0	8	9
1	8	9
0	234	243
1	234	243
0	8	9
1	8	9
0	1	3
1	1	3
0	705	795
1	705	795
0	23	27
1	23	27
0	705	795
1	705	795
0	23	27
1	23	27
0	44	23
1	44	23

simplify36.0ms

Counts

92 → 92

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	385	1905
1	385	1905

prune60.0ms

Filtered

73 candidates to 92 candidates (-26.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	92	5	97

Merged error: 0b

Counts

97 → 5

regimes51.0ms

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	10	10
1	10	10

end0.0ms

sample373.0ms

Algorithm

intervals

Results

182.0ms	8000×	body	80	valid
13.0ms	596×	body	80	invalid

Iter	Nodes	Cost
0	658	750
1	658	750
0	33	39
1	33	39
0	658	750
1	658	750
0	33	39
1	33	39
0	71	45
1	71	45
0	342	399
1	342	399
0	8	9
1	8	9
0	342	399
1	342	399
0	8	9
1	8	9
0	1	3
1	1	3
0	234	243
1	234	243
0	8	9
1	8	9
0	234	243
1	234	243
0	8	9
1	8	9
0	1	3
1	1	3
0	705	795
1	705	795
0	23	27
1	23	27
0	705	795
1	705	795
0	23	27
1	23	27
0	44	23
1	44	23

Iter	Nodes	Cost
0	658	750
1	658	750
0	33	39
1	33	39
0	658	750
1	658	750
0	33	39
1	33	39
0	71	45
1	71	45
0	342	399
1	342	399
0	8	9
1	8	9
0	342	399
1	342	399
0	8	9
1	8	9
0	1	3
1	1	3
0	234	243
1	234	243
0	8	9
1	8	9
0	234	243
1	234	243
0	8	9
1	8	9
0	1	3
1	1	3
0	705	795
1	705	795
0	23	27
1	23	27
0	705	795
1	705	795
0	23	27
1	23	27
0	44	23
1	44	23

Details

analyze263.0ms

sample14.0ms

simplify22.0ms

prune2.0ms

localize5.0ms

rewrite13.0ms

series521.0ms

simplify81.0ms

prune28.0ms

localize9.0ms

rewrite27.0ms

series3.6s

simplify129.0ms

prune63.0ms

localize12.0ms

rewrite17.0ms

series1.9s

simplify118.0ms

prune53.0ms

localize9.0ms

rewrite39.0ms

series1.2s

simplify36.0ms

prune60.0ms

regimes51.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample373.0ms

Profiling

Iter	Nodes	Cost
0	658	750
1	658	750
0	33	39
1	33	39
0	658	750
1	658	750
0	33	39
1	33	39
0	71	45
1	71	45
0	342	399
1	342	399
0	8	9
1	8	9
0	342	399
1	342	399
0	8	9
1	8	9
0	1	3
1	1	3
0	234	243
1	234	243
0	8	9
1	8	9
0	234	243
1	234	243
0	8	9
1	8	9
0	1	3
1	1	3
0	705	795
1	705	795
0	23	27
1	23	27
0	705	795
1	705	795
0	23	27
1	23	27
0	44	23
1	44	23