Details

sample85.0ms

Algorithm

intervals

Results

48.0ms	71×	body	1280	valid
16.0ms	47×	body	640	valid
6.0ms	35×	body	320	valid
4.0ms	89×	body	80	valid
2.0ms	80×	body	80	nan
2.0ms	14×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.8b

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b	(log (+ 1 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

4.0ms

(log (+ 1 x))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(log (+ 1 x))

simplify3.0s

Counts

19 → 19

Iterations

Iter	Nodes
done	5002
5	4335
4	1444
3	558
2	241
1	112
0	55

prune74.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1/3 x) 1/2)
0.0b	(+ (* (* x x) (- (* 1/3 x) 1/2)) x)
0.1b	(* (* x x) (- (* 1/3 x) 1/2))
0.4b	(* 1/3 x)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`add-log-exp`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
5×	`sub-neg`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+`

Counts

4 → 74

Calls

4 calls:

14.0ms	(- (* 1/3 x) 1/2)
42.0ms	(+ (* (* x x) (- (* 1/3 x) 1/2)) x)
36.0ms	(* (* x x) (- (* 1/3 x) 1/2))
8.0ms	(* 1/3 x)

series192.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* 1/3 x) 1/2)
43.0ms	(+ (* (* x x) (- (* 1/3 x) 1/2)) x)
83.0ms	(* (* x x) (- (* 1/3 x) 1/2))
26.0ms	(* 1/3 x)

simplify3.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
3	4402
2	931
1	306
0	111

prune275.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1 x))
0.0b	(sqrt (+ 1 x))
4.7b	(log (sqrt (+ 1 x)))
4.7b	(log (sqrt (+ 1 x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 76

Calls

4 calls:

4.0ms	(sqrt (+ 1 x))
4.0ms	(sqrt (+ 1 x))
6.0ms	(log (sqrt (+ 1 x)))
6.0ms	(log (sqrt (+ 1 x)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(sqrt (+ 1 x))
30.0ms	(sqrt (+ 1 x))
74.0ms	(log (sqrt (+ 1 x)))
93.0ms	(log (sqrt (+ 1 x)))

simplify2.8s

Counts

88 → 88

Iterations

Iter	Nodes
done	5021
5	3864
4	1525
3	679
2	323
1	155
0	81

prune283.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ 1 x))
4.7b	(log (+ 1 x))
4.7b	(log (sqrt (+ 1 x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
8×	`add-sqr-sqrt` `sqrt-prod`
7×	`pow1` `add-cube-cbrt`
5×	`add-exp-log`
4×	`log-div` `sqrt-div` `log-pow`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`rem-sqrt-square`

Counts

3 → 54

Calls

3 calls:

4.0ms	(sqrt (+ 1 x))
3.0ms	(log (+ 1 x))
4.0ms	(log (sqrt (+ 1 x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(sqrt (+ 1 x))
24.0ms	(log (+ 1 x))
71.0ms	(log (sqrt (+ 1 x)))

simplify2.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5002
4	2801
3	1058
2	465
1	214
0	111

prune258.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes91.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.3b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.8s	2256×	body	1280	valid
1.1s	1633×	body	640	valid
218.0ms	894×	body	320	valid
164.0ms	2756×	body	80	valid
92.0ms	2550×	body	80	nan
60.0ms	461×	body	160	valid