Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample38.0ms

Algorithm

intervals

Results

14.0ms	55×	body	1280	valid
11.0ms	36×	body	640	valid
4.0ms	140×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	8×	body	160	valid

simplify153.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4876	15
1	4876	15

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: 27.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64`
5×	`distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `difference-of-squares_binary64`
3×	`pow1_binary64` `associate-/l*_binary64` `insert-posit16`
2×	`flip3-+_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 66

Calls

3 calls:

4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
13.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series731.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
80.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
596.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	7559	9
1	7559	9
0	7559	9
1	7559	9
0	1	3
1	1	3
0	635	9
1	635	9
0	635	9
1	635	9
0	1	3
1	1	3
0	171	9
1	171	9
0	171	9
1	171	9
0	1	3
1	1	3

simplify110.0ms

Counts

75 → 75

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4989	1304
1	4989	1304

prune77.0ms

Filtered

52 candidates to 75 candidates (-44.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	68	7	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	7	76

Merged error: 26.9b

Counts

76 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
1.9b	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
16×	`times-frac_binary64`
14×	`flip3-+_binary64` `flip-+_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64` `distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
8×	`frac-times_binary64`
6×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-/l*_binary64`
5×	`associate-/r*_binary64`
4×	`associate-r_binary64` `associate-r/_binary64` `associate-l_binary64` `insert-posit16` `associate-l/_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-sqr--1_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `pow-sqr_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

11.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
7.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
13.0ms	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
18.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

series967.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
79.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
106.0ms	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
700.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	8215	9
1	8215	9
0	8215	9
1	8215	9
0	1	3
1	1	3
0	1201	9
1	1201	9
0	1201	9
1	1201	9
0	1	3
1	1	3
0	635	9
1	635	9
0	635	9
1	635	9
0	1	3
1	1	3
0	710	9
1	710	9
0	710	9
1	710	9
0	1	3
1	1	3

simplify103.0ms

Counts

132 → 132

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5074	2396

prune199.0ms

Filtered

88 candidates to 132 candidates (-50.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	125	7	132
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	130	9	139

Merged error: 26.9b

Counts

139 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 4 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 4))
0.0b	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)
0.5b	(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 4)
1.9b	(+.f64 -1 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity_binary64`
39×	`unpow-prod-down_binary64`
33×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
20×	`sqrt-prod_binary64`
11×	`associate-/r*_binary64` `add-exp-log_binary64`
7×	`pow1_binary64` `distribute-lft-out_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `sqr-pow_binary64` `add-cbrt-cube_binary64`
4×	`pow-pow_binary64` `insert-posit16`
3×	`pow-to-exp_binary64` `associate-/l*_binary64` `div-exp_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `sqrt-pow2_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 119

Calls

4 calls:

10.0ms	(/.f64 4 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 4))
6.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)
7.0ms	(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 4)
15.0ms	(+.f64 -1 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)))

series918.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(/.f64 4 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 4))
70.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)
80.0ms	(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 4)
657.0ms	(+.f64 -1 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	7860	9
1	7860	9
0	7860	9
1	7860	9
0	1	3
1	1	3
0	606	9
1	606	9
0	606	9
1	606	9
0	1	3
1	1	3
0	453	9
1	453	9
0	453	9
1	453	9
0	1	3
1	1	3
0	1098	9
1	1098	9
0	1098	9
1	1098	9
0	1	3
1	1	3

simplify156.0ms

Counts

131 → 131

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4940	2371
1	4940	2371

prune241.0ms

Filtered

79 candidates to 131 candidates (-65.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	131	9	140

Merged error: 26.9b

Counts

140 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)
0.1b	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 8)
0.5b	(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 4)
1.8b	(+.f64 -1 (pow.f64 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)) 3))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
15×	`unpow-prod-down_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow-unpow_binary64`
8×	`pow1_binary64`
7×	`add-exp-log_binary64`
6×	`add-log-exp_binary64`
5×	`pow-pow_binary64`
4×	`distribute-lft-out_binary64` `add-cbrt-cube_binary64` `insert-posit16` `sqrt-prod_binary64`
3×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `sqrt-pow2_binary64` `sqrt-pow1_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 76

Calls

4 calls:

6.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)
8.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 8)
7.0ms	(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 4)
25.0ms	(+.f64 -1 (pow.f64 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)) 3))

series530.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)
69.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 8)
84.0ms	(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 4)
308.0ms	(+.f64 -1 (pow.f64 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)) 3))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	1674	9
1	1674	9
0	1674	9
1	1674	9
0	1	3
1	1	3
0	606	9
1	606	9
0	606	9
1	606	9
0	1	3
1	1	3
0	458	9
1	458	9
0	458	9
1	458	9
0	1	3
1	1	3
0	453	9
1	453	9
0	453	9
1	453	9
0	1	3
1	1	3

simplify120.0ms

Counts

88 → 88

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4972	1324
1	4972	1324

prune206.0ms

Filtered

54 candidates to 88 candidates (-63.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	88	9	97

Merged error: 26.8b

Counts

97 → 9

regimes136.0ms

Accuracy

0% (0.5b remaining)

Error of 28.4b against oracle of 27.9b and baseline of 28.4b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	37
1	24	37

end0.0ms

sample958.0ms

Algorithm

intervals

Results

388.0ms	1633×	body	1280	valid
202.0ms	1206×	body	640	valid
135.0ms	4219×	body	80	valid
68.0ms	629×	body	320	valid
22.0ms	313×	body	160	valid

Details

analyze2.0ms

sample38.0ms

simplify153.0ms

prune1.0ms

localize6.0ms

rewrite26.0ms

series731.0ms

simplify110.0ms

prune77.0ms

localize12.0ms

rewrite53.0ms

series967.0ms

simplify103.0ms

prune199.0ms

localize19.0ms

rewrite42.0ms

series918.0ms

simplify156.0ms

prune241.0ms

localize27.0ms

rewrite48.0ms

series530.0ms

simplify120.0ms

prune206.0ms

regimes136.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample958.0ms

Profiling