Details

sample109.0ms

Algorithm

intervals

Results

58.0ms	75×	body	1280	valid
23.0ms	56×	body	640	valid
5.0ms	21×	body	320	valid
5.0ms	88×	body	80	valid
4.0ms	84×	body	80	nan
3.0ms	16×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	4

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.9b

localize12.0ms

Local error

Found 1 expressions with local error:

4.8b	(log (+ 1 x))

rewrite7.0ms

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-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

6.0ms

(log (+ 1 x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(log (+ 1 x))

simplify1.3s

Counts

19 → 19

Iterations

Iter	Nodes
done	2001
5	2001
4	1444
3	558
2	241
1	112
0	55

prune144.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x x) (+ -1/2 (* 1/3 x)))
0.3b	(* 1/3 x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 43

Calls

2 calls:

21.0ms	(* (* x x) (+ -1/2 (* 1/3 x)))
5.0ms	(* 1/3 x)

series152.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(* (* x x) (+ -1/2 (* 1/3 x)))
32.0ms	(* 1/3 x)

simplify1.2s

Counts

49 → 49

Iterations

Iter	Nodes
done	2002
3	2002
2	980
1	247
0	81

prune355.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.3b	(- (log (+ 1 (* x (* x x)))) (log (+ 1 (* (- x 1) x))))
14.7b	(log (+ 1 (* x (* x x))))
15.0b	(log (+ 1 (* (- x 1) x)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `log-prod`
11×	`add-exp-log`
9×	`add-cbrt-cube` `add-cube-cbrt`
8×	`log-div`
6×	`log-pow`
5×	`pow-prod-up`
4×	`flip3-+` `flip-+` `insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `associate--l+` `cbrt-unprod` `associate--r+`
2×	`associate--l-` `rem-log-exp` `associate--r-`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `diff-log` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

28.0ms	(* x (* x x))
19.0ms	(- (log (+ 1 (* x (* x x)))) (log (+ 1 (* (- x 1) x))))
5.0ms	(log (+ 1 (* x (* x x))))
11.0ms	(log (+ 1 (* (- x 1) x)))

series626.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* x (* x x))
85.0ms	(- (log (+ 1 (* x (* x x)))) (log (+ 1 (* (- x 1) x))))
439.0ms	(log (+ 1 (* x (* x x))))
52.0ms	(log (+ 1 (* (- x 1) x)))

simplify1.3s

Counts

95 → 95

Iterations

Iter	Nodes
done	2000
3	2000
2	934
1	389
0	174

prune853.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow x 9) 1/3)
13.2b	(+ (+ (* x (* x x)) (* -1/2 (* (* x (* x x)) (* x (* x x))))) (* (pow x 9) 1/3))
13.3b	(+ (* x (* x x)) (* -1/2 (* (* x (* x x)) (* x (* x x)))))
15.0b	(log (+ 1 (* (- x 1) x)))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`add-log-exp`
10×	`add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`sum-log` `unpow-prod-down` `insert-posit16`
3×	`log-prod` `flip3-+` `associate-r` `prod-exp` `flip-+` `unswap-sqr`
2×	`+-commutative` `log-div` `sqr-pow`
1×	`pow-to-exp` `associate-+l+` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `cbrt-unprod`

Counts

4 → 67

Calls

4 calls:

18.0ms	(* (pow x 9) 1/3)
1.4s	(+ (+ (* x (* x x)) (* -1/2 (* (* x (* x x)) (* x (* x x))))) (* (pow x 9) 1/3))
313.0ms	(+ (* x (* x x)) (* -1/2 (* (* x (* x x)) (* x (* x x)))))
6.0ms	(log (+ 1 (* (- x 1) x)))

series499.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (pow x 9) 1/3)
132.0ms	(+ (+ (* x (* x x)) (* -1/2 (* (* x (* x x)) (* x (* x x))))) (* (pow x 9) 1/3))
217.0ms	(+ (* x (* x x)) (* -1/2 (* (* x (* x x)) (* x (* x x)))))
57.0ms	(log (+ 1 (* (- x 1) x)))

simplify1.9s

Counts

79 → 79

Iterations

Iter	Nodes
done	2004
3	2004
2	1420
1	403
0	158

prune813.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.1b

regimes128.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 20.9b

bsearch4.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	2277×	body	1280	valid
656.0ms	1618×	body	640	valid
183.0ms	864×	body	320	valid
167.0ms	2833×	body	80	valid
97.0ms	2675×	body	80	nan
75.0ms	408×	body	160	valid