Details

sample105.0ms

Algorithm

intervals

Results

59.0ms	76×	body	1280	valid
20.0ms	48×	body	640	valid
7.0ms	31×	body	320	valid
5.0ms	93×	body	80	valid
3.0ms	69×	body	80	nan
1.0ms	8×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.5b

localize6.0ms

Local error

Found 1 expressions with local error:

3.2b	(log (+ 1 x))

rewrite4.0ms

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))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(log (+ 1 x))

simplify755.0ms

Counts

19 → 19

Iterations

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

prune55.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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×	`flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

3 → 55

Calls

3 calls:

5.0ms	(+ -1/2 (* 1/3 x))
21.0ms	(* (* x x) (+ -1/2 (* 1/3 x)))
6.0ms	(* 1/3 x)

series151.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ -1/2 (* 1/3 x))
92.0ms	(* (* x x) (+ -1/2 (* 1/3 x)))
17.0ms	(* 1/3 x)

simplify724.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	2002
2	1209
1	271
0	90

prune192.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
3.2b	(log (+ 1 x))
3.2b	(log (+ 1 x))
3.2b	(log (+ 1 x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`log-prod`
7×	`add-sqr-sqrt` `pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 59

Calls

4 calls:

22.0ms	(cbrt (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
6.0ms	(log (+ 1 x))
10.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))

series457.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
373.0ms	(log (+ 1 x))
27.0ms	(log (+ 1 x))
28.0ms	(log (+ 1 x))

simplify892.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	2000
4	1446
3	571
2	244
1	123
0	65

prune284.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1 x)))
3.2b	(log (+ 1 x))
3.2b	(log (+ 1 x))
3.2b	(log (+ 1 x))

rewrite11.0ms

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)))
3.0ms	(log (+ 1 x))
3.0ms	(log (+ 1 x))
3.0ms	(log (+ 1 x))

series138.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (log (+ 1 x)))
31.0ms	(log (+ 1 x))
31.0ms	(log (+ 1 x))
24.0ms	(log (+ 1 x))

simplify741.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	2000
2	720
1	284
0	114

prune275.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

98.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 20.8b

bsearch1.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.7s	2292×	body	1280	valid
613.0ms	1640×	body	640	valid
167.0ms	835×	body	320	valid
165.0ms	2801×	body	80	valid
85.0ms	2598×	body	80	nan
52.0ms	432×	body	160	valid