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

simplify19.0ms

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: 14.8b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

14.8b

(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cube-cbrt_binary64_1823` `add-sqr-sqrt_binary64_1837` `times-frac_binary64_1847` `*-un-lft-identity_binary64_1852`
3×	`add-cbrt-cube_binary64_1824` `add-exp-log_binary64_1816` `associate-/l_binary64_1916` `associate-/r_binary64_1915`
2×	`associate-/r/_binary64_1917`
1×	`clear-num_binary64_1855` `pow1_binary64_1794` `flip-+_binary64_1877` `add-log-exp_binary64_1817` `cbrt-undiv_binary64_1822` `div-exp_binary64_1801` `flip3-+_binary64_1850` `frac-2neg_binary64_1845` `div-inv_binary64_1853`

Counts

1 → 29

Calls

1 calls:

12.0ms

(/.f64 x (+.f64 (*.f64 x x) 1))

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(/.f64 x (+.f64 (*.f64 x x) 1))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	508	1539
1	508	1539
0	508	1539
1	508	1539
0	1	3
1	1	3

simplify84.0ms

Counts

32 → 32

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5041	496

prune23.0ms

Filtered

25 candidates to 32 candidates (-28.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	2	33

Merged error: 14.7b

Counts

33 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (+.f64 (*.f64 x x) 1))
14.6b	(.f64 x (/.f64 1 (+.f64 (.f64 x x) 1)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_1837`
20×	`times-frac_binary64_1847`
19×	`*-un-lft-identity_binary64_1852`
18×	`add-cube-cbrt_binary64_1823`
15×	`add-exp-log_binary64_1816` `associate-r_binary64_1911`
9×	`add-cbrt-cube_binary64_1824`
5×	`pow1_binary64_1794`
4×	`prod-exp_binary64_1799` `div-exp_binary64_1801` `associate-/r/_binary64_1917`
3×	`associate-/l_binary64_1916` `unswap-sqr_binary64_1880` `associate-l_binary64_1912` `associate-/r_binary64_1915`
2×	`cbrt-unprod_binary64_1821` `rec-exp_binary64_1800` `flip-+_binary64_1877` `add-log-exp_binary64_1817` `cbrt-undiv_binary64_1822` `1-exp_binary64_1812` `flip3-+_binary64_1850` `div-inv_binary64_1853`
1×	`clear-num_binary64_1855` `pow-prod-down_binary64_1775` `un-div-inv_binary64_1854` `associate-r/_binary64_1913` `inv-pow_binary64_1770` `pow-flip_binary64_1778` `-commutative_binary64_1920` `frac-2neg_binary64_1845`

Counts

2 → 71

Calls

2 calls:

8.0ms	(/.f64 1 (+.f64 (*.f64 x x) 1))
14.0ms	(.f64 x (/.f64 1 (+.f64 (.f64 x x) 1)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/.f64 1 (+.f64 (*.f64 x x) 1))
81.0ms	(.f64 x (/.f64 1 (+.f64 (.f64 x x) 1)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	429	1613
1	429	1613
0	429	1613
1	429	1613
0	1	3
1	1	3
0	370	1406
1	370	1406
0	370	1406
1	370	1406
0	1	3
1	1	3

simplify166.0ms

Counts

77 → 77

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4830	1007
1	4830	1007

prune43.0ms

Filtered

51 candidates to 77 candidates (-51.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	77	2	79

Merged error: 14.7b

Counts

79 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
14.8b	(/.f64 (+.f64 (*.f64 x x) 1) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac_binary64_1847`
52×	`add-cube-cbrt_binary64_1823` `add-sqr-sqrt_binary64_1837` `*-un-lft-identity_binary64_1852`
16×	`associate-/r*_binary64_1915`
15×	`add-exp-log_binary64_1816`
9×	`add-cbrt-cube_binary64_1824`
8×	`div-exp_binary64_1801`
6×	`associate-/l*_binary64_1916` `div-inv_binary64_1853`
4×	`cbrt-undiv_binary64_1822`
3×	`pow1_binary64_1794`
2×	`clear-num_binary64_1855` `associate-/l/_binary64_1918` `rec-exp_binary64_1800` `add-log-exp_binary64_1817` `1-exp_binary64_1812` `frac-2neg_binary64_1845`
1×	`flip-+_binary64_1877` `inv-pow_binary64_1770` `pow-flip_binary64_1778` `flip3-+_binary64_1850` `associate-/r/_binary64_1917`

Counts

2 → 105

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
8.0ms	(/.f64 (+.f64 (*.f64 x x) 1) x)

series188.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
83.0ms	(/.f64 (+.f64 (*.f64 x x) 1) x)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	436	1364
1	436	1364
0	436	1364
1	436	1364
0	1	3
1	1	3
0	763	1539
1	763	1539
0	763	1539
1	763	1539
0	1	3
1	1	3

simplify225.0ms

Counts

111 → 111

Iterations

Useful iterations: 0 (191.0ms)

Iter	Nodes	Cost
0	5139	2160

prune64.0ms

Filtered

72 candidates to 111 candidates (-54.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	2	113

Merged error: 14.7b

Counts

113 → 2

regimes7.0ms

Accuracy

0% (0.1b remaining)

Error of 15.4b against oracle of 15.3b and baseline of 15.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms

sample252.0ms

Algorithm

intervals

Results

163.0ms

8000×

body

valid

Details

analyze1.0ms

sample9.0ms

simplify19.0ms

prune1.0ms

localize4.0ms

rewrite13.0ms

series84.0ms

simplify84.0ms

prune23.0ms

localize5.0ms

rewrite26.0ms

series155.0ms

simplify166.0ms

prune43.0ms

localize5.0ms

rewrite25.0ms

series188.0ms

simplify225.0ms

prune64.0ms

regimes7.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample252.0ms

Profiling