Details

sample68.0ms

Algorithm

intervals

Results

33.0ms	70×	body	1280	valid
15.0ms	62×	body	640	valid
4.0ms	28×	body	320	valid
2.0ms	81×	body	80	valid
2.0ms	102×	body	80	nan
1.0ms	15×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.3b

localize10.0ms

Local error

Found 1 expressions with local error:

4.5b	(log (+ 1.0 x))

rewrite8.0ms

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×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

8.0ms

(log (+ 1.0 x))

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(log (+ 1.0 x))

simplify1.3s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
3	1662
2	419
1	131
0	60

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

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

prune11.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* x x) x (* (* 1.0 1.0) 1.0))
0.2b	(- (log (fma (* x x) x (* (* 1.0 1.0) 1.0))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
13.2b	(log (fma (* x x) x (* (* 1.0 1.0) 1.0)))
14.2b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `pow1`
17×	`add-cube-cbrt`
16×	`prod-diff`
15×	`log-pow`
12×	`log-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `fma-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`associate--l+` `associate--r+`
2×	`flip3-+` `rem-log-exp` `flip-+` `associate--r-`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--` `difference-of-squares`

Counts

4 → 87

Calls

4 calls:

1.0ms	(fma (* x x) x (* (* 1.0 1.0) 1.0))
38.0ms	(- (log (fma (* x x) x (* (* 1.0 1.0) 1.0))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
2.0ms	(log (fma (* x x) x (* (* 1.0 1.0) 1.0)))
25.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series875.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(fma (* x x) x (* (* 1.0 1.0) 1.0))
272.0ms	(- (log (fma (* x x) x (* (* 1.0 1.0) 1.0))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
386.0ms	(log (fma (* x x) x (* (* 1.0 1.0) 1.0)))
120.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify1.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1873
1	437
0	176

prune577.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

13.2b	(log (fma (* x x) x (* (* 1.0 1.0) 1.0)))
14.2b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
14.2b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
14.2b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
6×	`log-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 62

Calls

4 calls:

2.0ms	(log (fma (* x x) x (* (* 1.0 1.0) 1.0)))
24.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
19.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
12.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series697.0ms

Counts

4 → 12

Calls

4 calls:

398.0ms	(log (fma (* x x) x (* (* 1.0 1.0) 1.0)))
108.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
83.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
108.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify872.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	913
1	249
0	104

prune485.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes134.0ms

Accuracy

98.8% (0.3b remaining)

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

bsearch2.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	2243×	body	1280	valid
848.0ms	1688×	body	640	valid
128.0ms	831×	body	320	valid
122.0ms	2808×	body	80	valid
90.0ms	2708×	body	80	nan
40.0ms	430×	body	160	valid