Details

analyze1.2s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample32.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	124×	body	80	invalid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `insert-posit16` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 26

Calls

2 calls:

9.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))

series502.0ms

Counts

2 → 6

Calls

2 calls:

283.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
219.0ms	(+.f64 (.f64 x y) (.f64 z t))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	322	243
1	322	243
0	9	9
1	9	9
0	322	243
1	322	243
0	9	9
1	9	9
0	1	3
1	1	3
0	455	363
1	455	363
0	9	9
1	9	9
0	455	363
1	455	363
0	9	9
1	9	9
0	1	3
1	1	3

simplify87.0ms

Counts

32 → 32

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4978	528
1	4978	528

prune22.0ms

Filtered

25 candidates to 32 candidates (-28.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0b

Counts

33 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.3b	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
34.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `cube-div_binary64` `insert-posit16` `flip-+_binary64`
3×	`pow-unpow_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `+-commutative_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 74

Calls

4 calls:

12.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

series1.2s

Counts

4 → 12

Calls

4 calls:

417.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
218.0ms	(+.f64 (.f64 x y) (.f64 z t))
283.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
248.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	209	1752
1	209	1752
0	46	27
1	46	27
0	209	1752
1	209	1752
0	46	27
1	46	27
0	311	51
1	311	51
0	473	621
1	473	621
0	15	9
1	15	9
0	473	621
1	473	621
0	15	9
1	15	9
0	1	3
1	1	3
0	322	243
1	322	243
0	9	9
1	9	9
0	322	243
1	322	243
0	9	9
1	9	9
0	1	3
1	1	3
0	517	1815
1	517	1815
0	25	9
1	25	9
0	517	1815
1	517	1815
0	25	9
1	25	9
0	1	3
1	1	3

simplify128.0ms

Counts

86 → 86

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4940	1443
1	4940	1443

prune50.0ms

Filtered

56 candidates to 86 candidates (-53.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0b

Counts

89 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))
0.8b	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))))
3.1b	(+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
41.1b	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`pow1_binary64`
5×	`distribute-lft-out_binary64` `sum-cubes_binary64` `associate-/l*_binary64`
4×	`sub-neg_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `insert-posit16` `associate-+r+_binary64` `frac-times_binary64` `associate--l+_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-r_binary64` `associate-l*_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-r/_binary64` `associate-/r/_binary64` `+-commutative_binary64` `associate-l/_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

16.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))
18.0ms	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))))
17.0ms	(+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
28.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))))

series1.8s

Counts

4 → 12

Calls

4 calls:

336.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))
391.0ms	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))))
382.0ms	(+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
706.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	1276	1824
1	1276	1824
0	175	1215
1	175	1215
0	1276	1824
1	1276	1824
0	175	1215
1	175	1215
0	1	3
1	1	3
0	660	887
1	660	887
0	18	9
1	18	9
0	660	887
1	660	887
0	18	9
1	18	9
0	1	3
1	1	3
0	668	1179
1	668	1179
0	9	9
1	9	9
0	668	1179
1	668	1179
0	9	9
1	9	9
0	1	3
1	1	3
0	549	843
1	549	843
0	9	9
1	9	9
0	549	843
1	549	843
0	9	9
1	9	9
0	1	3
1	1	3

simplify106.0ms

Counts

113 → 113

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5041	6224

prune140.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes129.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

end0.0ms

sample861.0ms

Algorithm

intervals

Results

302.0ms	8000×	body	80	valid
149.0ms	3917×	body	80	invalid

Iter	Nodes	Cost
0	322	243
1	322	243
0	9	9
1	9	9
0	322	243
1	322	243
0	9	9
1	9	9
0	1	3
1	1	3
0	455	363
1	455	363
0	9	9
1	9	9
0	455	363
1	455	363
0	9	9
1	9	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	322	243
1	322	243
0	9	9
1	9	9
0	322	243
1	322	243
0	9	9
1	9	9
0	1	3
1	1	3
0	455	363
1	455	363
0	9	9
1	9	9
0	455	363
1	455	363
0	9	9
1	9	9
0	1	3
1	1	3

Details

analyze1.2s

sample32.0ms

simplify20.0ms

prune1.0ms

localize9.0ms

rewrite15.0ms

series502.0ms

simplify87.0ms

prune22.0ms

localize15.0ms

rewrite33.0ms

series1.2s

simplify128.0ms

prune50.0ms

localize19.0ms

rewrite82.0ms

series1.8s

simplify106.0ms

prune140.0ms

regimes129.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample861.0ms

Profiling

Iter	Nodes	Cost
0	322	243
1	322	243
0	9	9
1	9	9
0	322	243
1	322	243
0	9	9
1	9	9
0	1	3
1	1	3
0	455	363
1	455	363
0	9	9
1	9	9
0	455	363
1	455	363
0	9	9
1	9	9
0	1	3
1	1	3