Details

sample89.0ms

Algorithm

intervals

Results

49.0ms	71×	body	1280	valid
17.0ms	47×	body	640	valid
5.0ms	23×	body	320	valid
5.0ms	102×	body	80	valid
3.0ms	85×	body	80	nan
2.0ms	13×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.3b

localize6.0ms

Local error

Found 1 expressions with local error:

4.2b	(log (+ 1 x))

rewrite3.0ms

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:

3.0ms

(log (+ 1 x))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(log (+ 1 x))

simplify1.1s

Counts

19 → 19

Iterations

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

prune79.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* x x) (+ -1/2 (* 1/3 x))) x)
0.0b	(* (* x x) (+ -1/2 (* 1/3 x)))
0.3b	(* 1/3 x)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

27.0ms	(+ (* (* x x) (+ -1/2 (* 1/3 x))) x)
21.0ms	(* (* x x) (+ -1/2 (* 1/3 x)))
10.0ms	(* 1/3 x)

series183.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* (* x x) (+ -1/2 (* 1/3 x))) x)
105.0ms	(* (* x x) (+ -1/2 (* 1/3 x)))
25.0ms	(* 1/3 x)

simplify1.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	2002
3	2002
2	1232
1	309
0	103

prune271.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1 x))
0.0b	(sqrt (+ 1 x))
4.2b	(log (sqrt (+ 1 x)))
4.2b	(log (sqrt (+ 1 x)))

rewrite33.0ms

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-+` `add-cbrt-cube` `pow1/2` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 76

Calls

4 calls:

8.0ms	(sqrt (+ 1 x))
8.0ms	(sqrt (+ 1 x))
7.0ms	(log (sqrt (+ 1 x)))
7.0ms	(log (sqrt (+ 1 x)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt (+ 1 x))
47.0ms	(sqrt (+ 1 x))
71.0ms	(log (sqrt (+ 1 x)))
79.0ms	(log (sqrt (+ 1 x)))

simplify1.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	2012
5	2012
4	1525
3	679
2	323
1	155
0	81

prune392.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ 1 x))
4.2b	(log (+ 1 x))
4.2b	(log (sqrt (+ 1 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
8×	`add-sqr-sqrt` `sqrt-prod`
7×	`pow1` `add-cube-cbrt`
5×	`add-exp-log`
4×	`log-div` `sqrt-div` `log-pow`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`rem-sqrt-square`

Counts

3 → 54

Calls

3 calls:

7.0ms	(sqrt (+ 1 x))
5.0ms	(log (+ 1 x))
6.0ms	(log (sqrt (+ 1 x)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(sqrt (+ 1 x))
23.0ms	(log (+ 1 x))
73.0ms	(log (sqrt (+ 1 x)))

simplify1.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	2004
4	2004
3	1058
2	465
1	214
0	111

prune245.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes180.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 20.7b

bsearch2.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.3s	2354×	body	1280	valid
691.0ms	1623×	body	640	valid
243.0ms	819×	body	320	valid
185.0ms	2799×	body	80	valid
106.0ms	2812×	body	80	nan
54.0ms	405×	body	160	valid