Details

analyze415.0ms

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
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	34×	body	80	invalid

simplify157.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	4810	13
1	4810	13

prune2.0ms

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: 9.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.0b	(*.f64 y (-.f64 z x))
8.8b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
8.0ms	(*.f64 y (-.f64 z x))
7.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

series978.0ms

Counts

3 → 9

Calls

3 calls:

328.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
205.0ms	(*.f64 y (-.f64 z x))
445.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	516	438
1	516	438
0	25	30
1	25	30
0	516	438
1	516	438
0	25	30
1	25	30
0	5729	3
0	262	183
1	262	183
0	23	33
1	23	33
0	262	183
1	262	183
0	23	33
1	23	33
0	26	3
1	26	3
0	309	219
1	309	219
0	16	24
1	16	24
0	309	219
1	309	219
0	16	24
1	16	24
0	5729	3

simplify114.0ms

Counts

78 → 78

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5052	1092

prune59.0ms

Filtered

59 candidates to 78 candidates (-32.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	71	7	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	8	79

Merged error: 9.1b

Counts

79 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.0b	(*.f64 y (-.f64 z x))
0.3b	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
8.8b	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
62×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64`
58×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64`
18×	`associate-/r*_binary64`
13×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
8×	`div-exp_binary64`
7×	`pow1_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`
5×	`associate-r_binary64`
4×	`sub-neg_binary64` `cbrt-undiv_binary64` `insert-posit16`
3×	`associate-l_binary64`
2×	`1-exp_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 154

Calls

4 calls:

5.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
9.0ms	(*.f64 y (-.f64 z x))
9.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
6.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

series1.4s

Counts

4 → 12

Calls

4 calls:

327.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
202.0ms	(*.f64 y (-.f64 z x))
495.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
359.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	596	582
1	596	582
0	29	30
1	29	30
0	596	582
1	596	582
0	29	30
1	29	30
0	8	3
1	8	3
0	705	1023
1	705	1023
0	8	9
1	8	9
0	705	1023
1	705	1023
0	8	9
1	8	9
0	11	21
1	11	21
0	262	183
1	262	183
0	23	33
1	23	33
0	262	183
1	262	183
0	23	33
1	23	33
0	26	3
1	26	3
0	309	219
1	309	219
0	16	24
1	16	24
0	309	219
1	309	219
0	16	24
1	16	24
0	5729	3

simplify161.0ms

Counts

166 → 166

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5038	3447

prune97.0ms

Filtered

111 candidates to 166 candidates (-49.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	164	10	174

Merged error: 9.0b

Counts

174 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 z x) (sqrt.f64 y))
0.1b	(/.f64 1 (/.f64 z (+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y))))))
0.2b	(.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))
5.2b	(/.f64 z (+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
67×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
61×	`add-cube-cbrt_binary64`
24×	`add-exp-log_binary64`
18×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
12×	`pow1_binary64`
11×	`associate-/r/_binary64` `associate-l_binary64`
8×	`div-exp_binary64`
7×	`associate-r_binary64` `sqrt-prod_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `insert-posit16` `associate-*l/_binary64`
2×	`flip3--_binary64` `1-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64` `-commutative_binary64`
1×	`inv-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64`

Counts

4 → 166

Calls

4 calls:

10.0ms	(*.f64 (-.f64 z x) (sqrt.f64 y))
12.0ms	(/.f64 1 (/.f64 z (+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y))))))
12.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))
6.0ms	(/.f64 z (+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

385.0ms	(*.f64 (-.f64 z x) (sqrt.f64 y))
422.0ms	(/.f64 1 (/.f64 z (+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y))))))
255.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))
361.0ms	(/.f64 z (+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))))

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	635	1161
1	635	1161
0	93	91
1	93	91
0	635	1161
1	635	1161
0	93	91
1	93	91
0	24	3
1	24	3
0	400	537
1	400	537
0	38	45
1	38	45
0	400	537
1	400	537
0	38	45
1	38	45
0	26	3
1	26	3
0	779	1620
1	779	1620
0	56	467
1	56	467
0	779	1620
1	779	1620
0	56	467
1	56	467
0	1	3
1	1	3
0	341	288
1	341	288
0	35	48
1	35	48
0	341	288
1	341	288
0	35	48
1	35	48
0	4681	17
1	4681	17

simplify166.0ms

Counts

178 → 178

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5137	3570

prune109.0ms

Filtered

122 candidates to 178 candidates (-45.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	177	11	188

Merged error: 9.0b

Counts

188 → 11

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify19.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	3	3
Total	11	11

Merged error: 9.0b

Counts

11 → 11

regimes80.0ms

Accuracy

0% (0.4b remaining)

Error of 10.2b against oracle of 9.8b and baseline of 10.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

end0.0ms

sample446.0ms

Algorithm

intervals

Results

234.0ms	8000×	body	80	valid
29.0ms	1046×	body	80	invalid

Details

analyze415.0ms

sample16.0ms

simplify157.0ms

prune2.0ms

localize7.0ms

rewrite21.0ms

series978.0ms

simplify114.0ms

prune59.0ms

localize8.0ms

rewrite36.0ms

series1.4s

simplify161.0ms

prune97.0ms

localize10.0ms

rewrite48.0ms

series1.4s

simplify166.0ms

prune109.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify19.0ms

prune2.0ms

regimes80.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample446.0ms

Profiling