Details

sample269.0ms

Algorithm

intervals

Results

165.0ms	104×	body	1280	valid
62.0ms	83×	body	640	valid
16.0ms	48×	body	320	valid
9.0ms	256×	pre	80	true
3.0ms	14×	body	160	valid
1.0ms	7×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
5.4b	(log (- 1 x))
5.4b	(log (+ 1 x))

rewrite41.0ms

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

series195.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
41.0ms	(log (- 1 x))
51.0ms	(log (+ 1 x))

simplify2.8s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	3941
2	1125
1	404
0	178

prune371.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite109.0ms

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×	`associate-l` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`diff-log` `insert-posit16`
1×	`sum-log` `sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

13.0ms	(* -1/2 (* x x))
95.0ms	(- (+ (* -1/2 (* x x)) -1) x)

series69.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* -1/2 (* x x))
27.0ms	(- (+ (* -1/2 (* x x)) -1) x)

simplify2.4s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
3	2834
2	581
1	182
0	74

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

14.0ms	(* -1/2 (* x x))
19.0ms	(+ (* -1/2 (* x x)) (- -1 x))

series63.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* -1/2 (* x x))
24.0ms	(+ (* -1/2 (* x x)) (- -1 x))

simplify2.9s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	3140
2	606
1	195
0	69

prune142.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
2.0b	(log (- 1 (* x x)))
5.4b	(log (+ 1 x))
5.4b	(log (+ 1 x))

rewrite49.0ms

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:

30.0ms	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
6.0ms	(log (- 1 (* x x)))
6.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))

series328.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
117.0ms	(log (- 1 (* x x)))
27.0ms	(log (+ 1 x))
34.0ms	(log (+ 1 x))

simplify1.8s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1483
1	527
0	212

prune339.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample8.5s

Algorithm

intervals

Results

5.3s	3432×	body	1280	valid
2.0s	2442×	body	640	valid
493.0ms	1228×	body	320	valid
291.0ms	8000×	pre	80	true
183.0ms	662×	body	160	valid
58.0ms	236×	body	80	valid