Details

sample95.0ms

Algorithm

intervals

Results

51.0ms	69×	body	1280	valid
17.0ms	51×	body	640	valid
6.0ms	34×	body	320	valid
3.0ms	88×	body	80	valid
2.0ms	95×	body	80	nan
1.0ms	14×	body	160	valid

simplify2.0ms

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: 39.5b

localize5.0ms

Local error

Found 1 expressions with local error:

3.7b	(log (+ 1.0 x))

rewrite5.0ms

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))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(log (+ 1.0 x))

simplify1.0s

Counts

18 → 18

Iterations

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

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

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))

rewrite31.0ms

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:

30.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(+ (- (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

prune115.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.3b	(- (log (+ (* (* 1.0 1.0) 1.0) (* (* x x) x))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
12.9b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
14.3b	(log (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))

rewrite131.0ms

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:

14.0ms	(* (* x x) x)
49.0ms	(- (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) (- (* x x) (* 1.0 x))))
42.0ms	(log (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* x x) x)
239.0ms	(- (log (+ (* (* 1.0 1.0) 1.0) (* (* x x) x))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
83.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
343.0ms	(log (+ (* (* 1.0 1.0) 1.0) (* (* x x) x)))

simplify2.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	2868
1	493
0	189

prune414.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ x 1.0) (* (/ x 1.0) (/ x 1.0)))
0.1b	(* x (* x x))
0.1b	(* x (* x x))
14.8b	(- (* (* x (* x x)) 1.0) (* 1.0 (+ (/ (/ (* x (* x x)) 1.0) 1.0) (* x x))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-cbrt-cube` `add-exp-log`
46×	`pow1`
24×	`prod-exp` `cbrt-unprod`
19×	`associate-l`
18×	`add-sqr-sqrt`
15×	`pow-prod-up`
13×	`cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
10×	`times-frac`
9×	`pow-prod-down`
6×	`add-log-exp`
5×	`frac-times` `associate-*r/`
4×	`unswap-sqr`
3×	`pow2` `pow-plus` `cube-unmult` `associate-r` `associate-l/` `pow-sqr` `-commutative`
2×	`associate--r+`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `div-inv` `flip--`

Counts

4 → 120

Calls

4 calls:

36.0ms	(* (/ x 1.0) (* (/ x 1.0) (/ x 1.0)))
28.0ms	(* x (* x x))
25.0ms	(* x (* x x))
61.0ms	(- (* (* x (* x x)) 1.0) (* 1.0 (+ (/ (/ (* x (* x x)) 1.0) 1.0) (* x x))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (/ x 1.0) (* (/ x 1.0) (/ x 1.0)))
50.0ms	(* x (* x x))
46.0ms	(* x (* x x))
70.0ms	(- (* (* x (* x x)) 1.0) (* 1.0 (+ (/ (/ (* x (* x x)) 1.0) 1.0) (* x x))))

simplify2.3s

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	3265
1	490
0	154

prune477.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.3b

bsearch2.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	38
1	38
0	26

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	2308×	body	1280	valid
590.0ms	1644×	body	640	valid
123.0ms	806×	body	320	valid
91.0ms	2821×	body	80	valid
90.0ms	2729×	body	80	nan
77.0ms	421×	body	160	valid