Details

Time bar (total: 25.6s)

sample264.0ms

Algorithm
intervals
Results
154.0ms105×body1280valid
71.0ms93×body640valid
14.0ms37×body320valid
10.0ms256×pre80true
3.0ms13×body160valid
1.0ms8×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
311
211
110
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1 x)) (log (+ 1 x)))
4.7b
(log (+ 1 x))
4.7b
(log (- 1 x))

rewrite37.0ms

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:
13.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
19.0ms
(log (+ 1 x))
4.0ms
(log (- 1 x))

series143.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (log (- 1 x)) (log (+ 1 x)))
24.0ms
(log (+ 1 x))
29.0ms
(log (- 1 x))

simplify1.5s

Counts
82 → 82
Iterations
IterNodes
33507
21069
1388
0178

prune731.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×add-sqr-sqrt *-un-lft-identity diff-log
2×sub-neg associate--l+
1×associate--l- pow1 flip3-- add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 19
Calls
1 calls:
23.0ms
(- (- -1 (* x (* x 1/2))) x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(- (- -1 (* x (* x 1/2))) x)

simplify1.5s

Counts
22 → 22
Iterations
IterNodes
43885
3806
2249
199
048

prune161.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 12
Calls
1 calls:
31.0ms
(+ (* x (* x 1/2)) x)

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(+ (* x (* x 1/2)) x)

simplify4.7s

Counts
15 → 15
Iterations
IterNodes
46100
31321
2308
186
031

prune122.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (- 1 (* x x))) (log (- 1 x)))
2.0b
(log (- 1 (* x x)))
4.7b
(log (- 1 x))
4.7b
(log (- 1 x))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
28×log-prod
24×*-un-lft-identity
22×add-sqr-sqrt
11×pow1 difference-of-squares
10×log-div
9×add-cube-cbrt
7×add-exp-log log-pow distribute-lft-out--
6×flip3-- flip-- associate--r+
5×associate--l+
4×add-cbrt-cube insert-posit16 add-log-exp
3×rem-log-exp
2×associate--l- associate--r-
1×sub-neg diff-log
Counts
4 → 86
Calls
4 calls:
27.0ms
(- (log (- 1 (* x x))) (log (- 1 x)))
6.0ms
(log (- 1 (* x x)))
7.0ms
(log (- 1 x))
8.0ms
(log (- 1 x))

series361.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (log (- 1 (* x x))) (log (- 1 x)))
175.0ms
(log (- 1 (* x x)))
43.0ms
(log (- 1 x))
43.0ms
(log (- 1 x))

simplify5.5s

Counts
98 → 98
Iterations
IterNodes
45579
31961
2746
1331
0157

prune653.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
210
110
07

end0.0ms

sample9.5s

Algorithm
intervals
Results
5.6s3369×body1280valid
2.6s2550×body640valid
568.0ms1251×body320valid
376.0ms8000×pre80true
165.0ms602×body160valid
54.0ms228×body80valid