Details

sample340.0ms

Algorithm

intervals

Results

212.0ms	115×	body	1280	valid
76.0ms	78×	body	640	valid
20.0ms	36×	body	320	valid
12.0ms	256×	pre	80	true
7.0ms	21×	body	160	valid
1.0ms	6×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
5.2b	(log (- 1 x))
5.2b	(log (+ 1 x))

rewrite39.0ms

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:

23.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
7.0ms	(log (- 1 x))
7.0ms	(log (+ 1 x))

series175.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
48.0ms	(log (- 1 x))
38.0ms	(log (+ 1 x))

simplify1.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	2002
3	2002
2	1125
1	404
0	178

prune296.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `sum-log`
3×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`neg-log` `insert-posit16`
1×	`neg-sub0` `+-commutative` `associate-+l+` `distribute-neg-in` `flip3-+` `associate-l` `*-commutative` `associate-+l-` `flip-+` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

27.0ms	(* (* x x) -1/2)
70.0ms	(+ (- (+ x 1)) (* (* x x) -1/2))

series70.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (* x x) -1/2)
29.0ms	(+ (- (+ x 1)) (* (* x x) -1/2))

simplify1.1s

Counts

42 → 42

Iterations

Iter	Nodes
done	2009
3	2009
2	720
1	216
0	77

prune149.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
0.0b	(/ (log (+ 1 x)) (log (- 1 x)))
5.2b	(log (- 1 x))
5.2b	(log (+ 1 x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
78×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
49×	`pow1`
44×	`log-pow`
24×	`associate-/r*`
19×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`log-prod`
8×	`div-exp`
7×	`associate-/l*`
6×	`log-div` `div-inv`
4×	`cbrt-undiv` `insert-posit16` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `div-sub` `rem-log-exp` `flip-+` `difference-of-squares`
1×	`flip3--` `associate-/r/` `pow-flip` `flip--` `distribute-lft-out` `distribute-lft-out--` `inv-pow`

Counts

4 → 178

Calls

4 calls:

11.0ms	(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
11.0ms	(/ (log (+ 1 x)) (log (- 1 x)))
4.0ms	(log (- 1 x))
5.0ms	(log (+ 1 x))

series244.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
106.0ms	(/ (log (+ 1 x)) (log (- 1 x)))
27.0ms	(log (- 1 x))
24.0ms	(log (+ 1 x))

simplify1.2s

Counts

190 → 190

Iterations

Iter	Nodes
done	2000
2	2000
1	805
0	319

prune553.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
2.1b	(log (- 1 (* x x)))
5.2b	(log (+ 1 x))
5.2b	(log (+ 1 x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
36×	`pow1`
32×	`add-sqr-sqrt` `times-frac` `log-pow`
21×	`add-cube-cbrt`
20×	`distribute-lft-out--`
13×	`log-prod`
9×	`add-exp-log`
8×	`associate-/l*`
7×	`difference-of-squares`
6×	`log-div` `add-cbrt-cube`
4×	`associate-/r*` `insert-posit16` `add-log-exp`
3×	`rem-log-exp`
2×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

4 → 109

Calls

4 calls:

31.0ms	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
3.0ms	(log (- 1 (* x x)))
3.0ms	(log (+ 1 x))
3.0ms	(log (+ 1 x))

series324.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
117.0ms	(log (- 1 (* x x)))
39.0ms	(log (+ 1 x))
31.0ms	(log (+ 1 x))

simplify1.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	2005
3	2005
2	1483
1	527
0	212

prune323.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
2	18
1	17
0	8

end0.0ms

sample8.5s

Algorithm

intervals

Results

5.4s	3479×	body	1280	valid
1.9s	2400×	body	640	valid
578.0ms	1260×	body	320	valid
288.0ms	8000×	pre	80	true
183.0ms	624×	body	160	valid
27.0ms	237×	body	80	valid