Details

sample232.0ms

Algorithm

intervals

Results

154.0ms	124×	body	1280	valid
43.0ms	68×	body	640	valid
12.0ms	39×	body	320	valid
8.0ms	256×	pre	80	true
4.0ms	21×	body	160	valid
0.0ms	4×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	11
2	11
1	10
0	7

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.1b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
6.2b	(log (- 1 x))
6.3b	(log (+ 1 x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
10×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`insert-posit16` `add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 73

Calls

3 calls:

25.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
7.0ms	(log (- 1 x))
6.0ms	(log (+ 1 x))

series155.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
36.0ms	(log (- 1 x))
39.0ms	(log (+ 1 x))

simplify1.6s

Counts

82 → 82

Iterations

Iter	Nodes
3	3486
2	1066
1	388
0	178

prune596.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- -1 (* (* x x) 1/2)) x)
0.0b	(* (* x x) 1/2)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`diff-log` `associate-r` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`sub-neg` `associate--l+` `insert-posit16`
1×	`associate--l-` `flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

35.0ms	(- (- -1 (* (* x x) 1/2)) x)
28.0ms	(* (* x x) 1/2)

series88.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (- -1 (* (* x x) 1/2)) x)
53.0ms	(* (* x x) 1/2)

simplify3.4s

Counts

45 → 45

Iterations

Iter	Nodes
4	5037
3	1522
2	490
1	178
0	76

prune250.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.8b	(log (+ 1 (* (* x x) x)))
6.2b	(log (- 1 x))
6.2b	(log (+ (* x x) (- 1 x)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
12×	`add-sqr-sqrt` `log-prod` `add-exp-log`
11×	`*-un-lft-identity`
9×	`add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`log-div` `pow-plus` `pow-prod-up`
4×	`insert-posit16` `add-log-exp`
3×	`rem-log-exp` `associate-r` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod`
2×	`pow2` `flip3-+` `pow-sqr` `flip-+` `difference-of-squares`
1×	`flip3--` `associate-l` `pow3` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

17.0ms	(* (* x x) x)
4.0ms	(log (+ 1 (* (* x x) x)))
7.0ms	(log (- 1 x))
24.0ms	(log (+ (* x x) (- 1 x)))

series576.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* x x) x)
472.0ms	(log (+ 1 (* (* x x) x)))
24.0ms	(log (- 1 x))
36.0ms	(log (+ (* x x) (- 1 x)))

simplify1.4s

Counts

89 → 89

Iterations

Iter	Nodes
3	2407
2	936
1	391
0	178

prune617.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b	(log (- (* 1 1) (* (* (* x x) x) (* (* x x) x))))
0.8b	(log (- 1 (* (* x x) x)))
6.2b	(log (- 1 x))
6.2b	(log (+ (* x x) (- 1 x)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
8×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
5×	`pow3`
4×	`add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`difference-cubes` `pow-prod-down`
1×	`flip3-+` `cube-unmult` `flip-+` `distribute-lft-out--`

Counts

4 → 66

Calls

4 calls:

65.0ms	(log (- (* 1 1) (* (* (* x x) x) (* (* x x) x))))
3.0ms	(log (- 1 (* (* x x) x)))
3.0ms	(log (- 1 x))
11.0ms	(log (+ (* x x) (- 1 x)))

series3.8s

Counts

4 → 12

Calls

4 calls:

3.2s	(log (- (* 1 1) (* (* (* x x) x) (* (* x x) x))))
536.0ms	(log (- 1 (* (* x x) x)))
25.0ms	(log (- 1 x))
59.0ms	(log (+ (* x x) (- 1 x)))

simplify1.9s

Counts

78 → 78

Iterations

Iter	Nodes
3	3120
2	1058
1	454
0	200

prune705.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample9.2s

Algorithm

intervals

Results

5.6s	3384×	body	1280	valid
2.2s	2480×	body	640	valid
618.0ms	1259×	body	320	valid
355.0ms	8000×	pre	80	true
172.0ms	646×	body	160	valid
31.0ms	231×	body	80	valid