Details

sample74.0ms

Algorithm

intervals

Results

35.0ms	70×	body	1280	valid
18.0ms	62×	body	640	valid
3.0ms	28×	body	320	valid
2.0ms	81×	body	80	valid
2.0ms	102×	body	80	nan
1.0ms	15×	body	160	valid

simplify1.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.3b

localize5.0ms

Local error

Found 1 expressions with local error:

4.5b	(log (+ 1.0 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-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

4.0ms

(log (+ 1.0 x))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(log (+ 1.0 x))

simplify845.0ms

Counts

18 → 18

Iterations

Iter	Nodes
done	5001
3	1263
2	369
1	123
0	58

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune8.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.2b	(- (log (+ (* (* 1.0 1.0) 1.0) (* (* x x) x))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
13.2b	(log (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
14.2b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
14×	`log-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-exp-log`
9×	`add-cbrt-cube` `add-cube-cbrt`
8×	`log-div`
6×	`pow-plus` `log-pow` `pow-prod-up`
5×	`pow3`
4×	`flip3-+` `associate--l+` `flip-+` `distribute-lft-out--` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate--r+`
2×	`associate--l-` `pow2` `rem-log-exp` `pow-sqr` `sum-cubes` `associate--r-`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

24.0ms	(* (* x x) x)
40.0ms	(- (log (+ (* (* 1.0 1.0) 1.0) (* (* x x) x))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
23.0ms	(log (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
13.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series744.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x x) x)
188.0ms	(- (log (+ (* (* 1.0 1.0) 1.0) (* (* x x) x))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
399.0ms	(log (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
119.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
2	2887
1	491
0	189

prune564.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize95.0ms

Local error

Found 4 expressions with local error:

12.1b	(cbrt (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
12.1b	(cbrt (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
12.1b	(cbrt (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
14.2b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div` `pow3`
5×	`pow1` `add-exp-log`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`log-prod` `pow1/3` `sum-cubes`
2×	`log-div`
1×	`rem-log-exp` `log-pow`

Counts

4 → 56

Calls

4 calls:

32.0ms	(cbrt (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
23.0ms	(cbrt (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
19.0ms	(cbrt (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
19.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series1.9s

Counts

4 → 12

Calls

4 calls:

589.0ms	(cbrt (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
582.0ms	(cbrt (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
599.0ms	(cbrt (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))
118.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify1.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	1647
1	350
0	134

prune544.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes175.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.6b

bsearch3.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	2243×	body	1280	valid
554.0ms	1688×	body	640	valid
184.0ms	831×	body	320	valid
94.0ms	2808×	body	80	valid
61.0ms	2708×	body	80	nan
40.0ms	430×	body	160	valid