Details

sample74.0ms

Algorithm

intervals

Results

39.0ms	78×	body	1280	valid
13.0ms	49×	body	640	valid
4.0ms	25×	body	320	valid
3.0ms	92×	body	80	valid
2.0ms	89×	body	80	nan
1.0ms	12×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.9b

localize5.0ms

Local error

Found 1 expressions with local error:

3.6b	(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))

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(log (+ 1.0 x))

simplify849.0ms

Counts

18 → 18

Iterations

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

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (- (log 1.0) (* (/ x 1.0) (* (/ x 1.0) 1/2))) (* 1.0 x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-+l+` `add-log-exp`
3×	`log-prod` `associate--l+`
2×	`add-sqr-sqrt` `sum-log` `*-un-lft-identity` `add-cube-cbrt`
1×	`pow1` `+-commutative` `sub-neg` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `associate-+l-` `flip-+`

Counts

1 → 18

Calls

1 calls:

45.0ms

(+ (- (log 1.0) (* (/ x 1.0) (* (/ x 1.0) 1/2))) (* 1.0 x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(+ (- (log 1.0) (* (/ x 1.0) (* (/ x 1.0) 1/2))) (* 1.0 x))

simplify2.4s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
3	3513
2	545
1	146
0	51

prune82.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `add-cbrt-cube` `log-pow` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (log (+ 1.0 x)))
4.0ms	(log (+ 1.0 x))
4.0ms	(log (+ 1.0 x))
4.0ms	(log (+ 1.0 x))

series433.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt (log (+ 1.0 x)))
71.0ms	(log (+ 1.0 x))
65.0ms	(log (+ 1.0 x))
71.0ms	(log (+ 1.0 x))

simplify2.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	4889
2	1021
1	308
0	123

prune430.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

97.7% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.3b

bsearch2.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.6s	2260×	body	1280	valid
564.0ms	1676×	body	640	valid
136.0ms	856×	body	320	valid
93.0ms	2779×	body	80	valid
83.0ms	2570×	body	80	nan
40.0ms	429×	body	160	valid