Details

sample138.0ms

Algorithm

intervals

Results

83.0ms	83×	body	1280	valid
24.0ms	47×	body	640	valid
8.0ms	29×	body	320	valid
5.0ms	78×	body	80	valid
3.0ms	19×	body	160	valid
3.0ms	67×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.7b

localize22.0ms

Local error

Found 1 expressions with local error:

5.0b	(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:

7.0ms

(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

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* x x) (+ -1/2 (* 1/3 x))) x)
0.1b	(* (* x x) (+ -1/2 (* 1/3 x)))
0.3b	(* 1/3 x)

rewrite64.0ms

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:

15.0ms	(+ (* (* x x) (+ -1/2 (* 1/3 x))) x)
37.0ms	(* (* x x) (+ -1/2 (* 1/3 x)))
11.0ms	(* 1/3 x)

series181.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (* (* x x) (+ -1/2 (* 1/3 x))) x)
110.0ms	(* (* x x) (+ -1/2 (* 1/3 x)))
25.0ms	(* 1/3 x)

simplify1.5s

Counts

66 → 66

Iterations

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

prune252.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1 x)))
5.0b	(log (+ 1 x))
5.0b	(log (+ 1 x))
5.0b	(log (+ 1 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (log (+ 1 x)))
5.0ms	(log (+ 1 x))
5.0ms	(log (+ 1 x))
5.0ms	(log (+ 1 x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(cbrt (log (+ 1 x)))
23.0ms	(log (+ 1 x))
34.0ms	(log (+ 1 x))
25.0ms	(log (+ 1 x))

simplify1.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	2003
3	2003
2	720
1	284
0	114

prune368.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

5.0b	(log (+ 1 x))
5.0b	(log (+ 1 x))
5.0b	(log (sqrt (+ 1 x)))
5.0b	(log (sqrt (+ 1 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
18×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
8×	`log-div` `add-exp-log` `log-pow` `sqrt-prod`
4×	`flip3-+` `add-cbrt-cube` `sqrt-div` `rem-log-exp` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`sqrt-pow1` `pow1/2`

Counts

4 → 74

Calls

4 calls:

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

series220.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(log (+ 1 x))
39.0ms	(log (+ 1 x))
78.0ms	(log (sqrt (+ 1 x)))
64.0ms	(log (sqrt (+ 1 x)))

simplify1.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	2002
4	2002
3	867
2	374
1	182
0	97

prune447.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes135.0ms

Accuracy

97.8% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 20.3b

bsearch2.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.8s	2318×	body	1280	valid
706.0ms	1685×	body	640	valid
206.0ms	806×	body	320	valid
175.0ms	2749×	body	80	valid
119.0ms	2612×	body	80	nan
81.0ms	442×	body	160	valid