Details

sample67.0ms

Algorithm

intervals

Results

34.0ms	66×	body	1280	valid
15.0ms	65×	body	640	valid
4.0ms	31×	body	320	valid
2.0ms	83×	body	80	valid
2.0ms	91×	body	80	nan
1.0ms	11×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.8b

localize6.0ms

Local error

Found 1 expressions with local error:

3.8b	(log (+ 1.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

10.0ms

(log (+ 1.0 x))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(log (+ 1.0 x))

simplify952.0ms

Counts

18 → 18

Iterations

Useful iterations: done (951.0ms)

Iter	Nodes	Cost
0	58	178
1	123	171
2	378	151
3	1338	151
done	5000	146

prune65.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 126

Calls

2 calls:

76.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
62.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series120.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
49.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify2.5s

Counts

132 → 132

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	268	1979
1	761	1743
2	3646	1459
done	5001	1455

prune501.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
3.6b	(log (sqrt (+ 1.0 x)))
3.6b	(log (sqrt (+ 1.0 x)))

rewrite29.0ms

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-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

7.0ms	(sqrt (+ 1.0 x))
7.0ms	(sqrt (+ 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt (+ 1.0 x))
53.0ms	(sqrt (+ 1.0 x))
112.0ms	(log (sqrt (+ 1.0 x)))
115.0ms	(log (sqrt (+ 1.0 x)))

simplify1.6s

Counts

84 → 84

Iterations

Useful iterations: 3 (731.0ms)

Iter	Nodes	Cost
0	89	852
1	180	778
2	607	706
3	3013	702
done	5002	702

prune313.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (- x 1.0))
0.2b	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (* x (- x 1.0)))))
14.0b	(log (+ (* 1.0 1.0) (* x (- x 1.0))))
14.4b	(log (+ (pow 1.0 3) (pow x 3)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`log-prod`
16×	`add-sqr-sqrt`
12×	`pow1`
10×	`add-cube-cbrt` `distribute-lft-out`
9×	`associate--l+`
8×	`add-exp-log` `unpow-prod-down` `log-div` `cube-prod`
6×	`log-pow` `add-cbrt-cube`
5×	`associate-r` `distribute-lft-out--`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`sub-neg` `associate-l` `associate--r+`
2×	`associate--l-` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `rem-log-exp` `sum-cubes` `flip--` `associate--r-` `difference-of-squares`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

47.0ms	(* x (- x 1.0))
39.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (* x (- x 1.0)))))
7.0ms	(log (+ (* 1.0 1.0) (* x (- x 1.0))))
39.0ms	(log (+ (pow 1.0 3) (pow x 3)))

series763.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* x (- x 1.0))
225.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (* x (- x 1.0)))))
102.0ms	(log (+ (* 1.0 1.0) (* x (- x 1.0))))
392.0ms	(log (+ (pow 1.0 3) (pow x 3)))

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: 2 (422.0ms)

Iter	Nodes	Cost
0	202	1810
1	495	1676
2	2128	1566
done	5000	1566

prune359.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes93.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.6b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	60
1	41	60
done	41	60

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	2183×	body	1280	valid
602.0ms	1738×	body	640	valid
133.0ms	812×	body	320	valid
132.0ms	2863×	body	80	valid
64.0ms	2641×	body	80	nan
38.0ms	404×	body	160	valid