Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

sample9.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

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: 15.6b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x x) 1)
15.6b	(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_645` `add-cube-cbrt_binary64_631` `*-un-lft-identity_binary64_660`
9×	`times-frac_binary64_655`
4×	`add-log-exp_binary64_625` `add-cbrt-cube_binary64_632` `add-exp-log_binary64_624`
3×	`associate-/l_binary64_724` `associate-/r_binary64_723`
2×	`flip-+_binary64_685` `associate-/r/_binary64_725` `pow1_binary64_602` `flip3-+_binary64_658`
1×	`div-inv_binary64_661` `div-exp_binary64_609` `+-commutative_binary64_727` `sum-log_binary64_570` `frac-2neg_binary64_653` `cbrt-undiv_binary64_630` `clear-num_binary64_663`

Counts

2 → 40

Calls

2 calls:

5.0ms	(+.f64 (*.f64 x x) 1)
7.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))

series786.0ms

Counts

2 → 6

Calls

2 calls:

512.0ms	(+.f64 (*.f64 x x) 1)
274.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	393	1917
1	393	1917
0	4804	1636
1	4804	1636
0	393	1917
1	393	1917
0	4804	1636
1	4804	1636
0	1	3
1	1	3
0	164	1478
1	164	1478
0	4868	762
1	4868	762
0	164	1478
1	164	1478
0	4868	762
1	4868	762
0	5126	12

simplify124.0ms

Counts

46 → 46

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5806	626

prune37.0ms

Filtered

37 candidates to 46 candidates (-24.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Merged error: 15.6b

Counts

47 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
0.0b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
15.6b	(sqrt.f64 (+.f64 (*.f64 x x) 1))
15.6b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt_binary64_645`
76×	`times-frac_binary64_655`
53×	`*-un-lft-identity_binary64_660`
47×	`add-cube-cbrt_binary64_631` `sqrt-prod_binary64_639`
28×	`add-exp-log_binary64_624`
24×	`associate-r_binary64_719` `associate-l_binary64_720`
18×	`add-cbrt-cube_binary64_632`
15×	`unswap-sqr_binary64_688`
10×	`sqrt-div_binary64_640`
9×	`div-exp_binary64_609`
8×	`prod-exp_binary64_607` `pow1_binary64_602`
6×	`associate-/r/_binary64_725` `associate-/r*_binary64_723`
5×	`flip-+_binary64_685` `cbrt-undiv_binary64_630` `flip3-+_binary64_658`
4×	`cbrt-unprod_binary64_629` `add-log-exp_binary64_625`
3×	`div-inv_binary64_661` `associate-/l*_binary64_724`
2×	`rem-sqrt-square_binary64_648` `sqrt-pow1_binary64_641` `rec-exp_binary64_608` `1-exp_binary64_620` `pow1/2_binary64_592`
1×	`associate-l/_binary64_722` `pow-prod-down_binary64_583` `frac-times_binary64_652` `-commutative_binary64_728` `associate-*r/_binary64_721` `frac-2neg_binary64_653` `clear-num_binary64_663`

Counts

4 → 158

Calls

4 calls:

9.0ms	(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
34.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
5.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))
6.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))

series1.1s

Counts

4 → 12

Calls

4 calls:

283.0ms	(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
318.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
257.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))
261.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	232	1696
1	232	1696
0	4776	1318
1	4776	1318
0	232	1696
1	232	1696
0	4776	1318
1	4776	1318
0	1	3
1	1	3
0	232	1696
1	232	1696
0	4776	1318
1	4776	1318
0	232	1696
1	232	1696
0	4776	1318
1	4776	1318
0	1	3
1	1	3
0	492	2217
1	492	2217
0	4827	1796
1	4827	1796
0	492	2217
1	492	2217
0	4827	1796
1	4827	1796
0	1	3
1	1	3
0	434	1975
1	434	1975
0	6569	1772
0	434	1975
1	434	1975
0	6569	1772
0	1	3
1	1	3

simplify114.0ms

Counts

170 → 170

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4993	3176
1	4993	3176

prune119.0ms

Filtered

104 candidates to 170 candidates (-63.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	170	2	172

Merged error: 15.6b

Counts

172 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x x) 1)
0.1b	(pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 3)
15.6b	(/.f64 x (+.f64 (*.f64 x x) 1))
42.1b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac_binary64_655`
42×	`add-sqr-sqrt_binary64_645` `add-cube-cbrt_binary64_631` `*-un-lft-identity_binary64_660`
36×	`cbrt-prod_binary64_627`
30×	`cube-prod_binary64_633` `unpow-prod-down_binary64_591`
10×	`associate-/r/_binary64_725`
9×	`add-cbrt-cube_binary64_632` `add-exp-log_binary64_624`
6×	`flip-+_binary64_685` `add-log-exp_binary64_625` `flip3-+_binary64_658`
5×	`div-inv_binary64_661` `pow1_binary64_602`
3×	`associate-/l_binary64_724` `associate-/r_binary64_723` `pow-unpow_binary64_589`
2×	`sqr-pow_binary64_692` `cube-div_binary64_634` `unpow3_binary64_600` `div-exp_binary64_609` `cube-mult_binary64_635` `rem-cube-cbrt_binary64_636` `cbrt-undiv_binary64_630` `pow-exp_binary64_580`
1×	`rem-cbrt-cube_binary64_637` `pow-to-exp_binary64_581` `cbrt-div_binary64_628` `pow1/3_binary64_594` `+-commutative_binary64_727` `pow-pow_binary64_584` `sum-log_binary64_570` `frac-2neg_binary64_653` `clear-num_binary64_663`

Counts

4 → 136

Calls

4 calls:

5.0ms	(+.f64 (*.f64 x x) 1)
10.0ms	(pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 3)
8.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
11.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 3))

series1.3s

Counts

4 → 12

Calls

4 calls:

520.0ms	(+.f64 (*.f64 x x) 1)
237.0ms	(pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 3)
275.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
289.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 3))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	46	2070
1	46	2070
0	4880	1678
1	4880	1678
0	46	2070
1	46	2070
0	4880	1678
1	4880	1678
0	1	3
1	1	3
0	393	1917
1	393	1917
0	4804	1636
1	4804	1636
0	393	1917
1	393	1917
0	4804	1636
1	4804	1636
0	1	3
1	1	3
0	393	2032
1	393	2032
0	5602	1869
0	393	2032
1	393	2032
0	5602	1869
0	1	3
1	1	3
0	164	1478
1	164	1478
0	4868	762
1	4868	762
0	164	1478
1	164	1478
0	4868	762
1	4868	762
0	5126	12

simplify72.0ms

Counts

148 → 148

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5874	2498

prune67.0ms

Filtered

82 candidates to 148 candidates (-80.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	148	2	150

Merged error: 15.6b

Counts

150 → 2

regimes19.0ms

Accuracy

0% (0.0b remaining)

Error of 15.0b against oracle of 15.0b and baseline of 15.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	26
1	13	26

end0.0ms

sample256.0ms

Algorithm

intervals

Results

165.0ms

8000×

body

valid

Details

analyze1.0ms

sample9.0ms

simplify22.0ms

prune1.0ms

localize4.0ms

rewrite14.0ms

series786.0ms

simplify124.0ms

prune37.0ms

localize8.0ms

rewrite63.0ms

series1.1s

simplify114.0ms

prune119.0ms

localize7.0ms

rewrite40.0ms

series1.3s

simplify72.0ms

prune67.0ms

regimes19.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample256.0ms

Profiling