Details

Time bar (total: 9.4s)

sample145.0ms

Algorithm
intervals
Results
29.0ms660×body80nan
15.0ms256×body80valid

simplify46.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 1 expressions with local error:

0.3b
(log (- (/ 1 x) 1))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×log-prod
11×*-un-lft-identity
6×times-frac difference-of-squares
3×difference-of-sqr-1
2×pow1 log-div add-exp-log add-cube-cbrt distribute-lft-out--
1×flip3-- add-cbrt-cube rem-log-exp log-pow insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 26
Calls
1 calls:
8.0ms
(log (- (/ 1 x) 1))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(log (- (/ 1 x) 1))

simplify1.2s

Counts
29 → 29
Iterations
IterNodes
done2001
51630
4862
3480
2246
1145
078

prune99.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt (- (/ 1 x) 1)))
0.0b
(log (sqrt (- (/ 1 x) 1)))
0.3b
(sqrt (- (/ 1 x) 1))
0.3b
(sqrt (- (/ 1 x) 1))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
56×sqrt-prod
46×*-un-lft-identity
34×log-prod
24×times-frac difference-of-squares
12×difference-of-sqr-1
10×pow1 add-cube-cbrt
8×sqrt-div distribute-lft-out--
6×add-exp-log log-pow
4×log-div sqrt-pow1 flip3-- add-cbrt-cube pow1/2 insert-posit16 div-inv flip-- add-log-exp
2×rem-sqrt-square rem-log-exp
Counts
4 → 116
Calls
4 calls:
7.0ms
(log (sqrt (- (/ 1 x) 1)))
11.0ms
(log (sqrt (- (/ 1 x) 1)))
17.0ms
(sqrt (- (/ 1 x) 1))
18.0ms
(sqrt (- (/ 1 x) 1))

series208.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(log (sqrt (- (/ 1 x) 1)))
62.0ms
(log (sqrt (- (/ 1 x) 1)))
41.0ms
(sqrt (- (/ 1 x) 1))
39.0ms
(sqrt (- (/ 1 x) 1))

simplify761.0ms

Counts
128 → 128
Iterations
IterNodes
done2000
3910
2444
1231
0127

prune588.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (sqrt (- (/ 1 x) 1)))
0.3b
(log (- (/ 1 x) 1))
0.3b
(sqrt (- (/ 1 x) 1))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
34×*-un-lft-identity
31×log-prod
28×sqrt-prod
18×times-frac difference-of-squares
9×difference-of-sqr-1
7×pow1 add-cube-cbrt
6×distribute-lft-out--
5×add-exp-log
4×log-div sqrt-div log-pow
3×flip3-- add-cbrt-cube insert-posit16 div-inv flip-- add-log-exp
2×sqrt-pow1 pow1/2 rem-log-exp
1×rem-sqrt-square
Counts
3 → 84
Calls
3 calls:
13.0ms
(log (sqrt (- (/ 1 x) 1)))
12.0ms
(log (- (/ 1 x) 1))
20.0ms
(sqrt (- (/ 1 x) 1))

series160.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(log (sqrt (- (/ 1 x) 1)))
20.0ms
(log (- (/ 1 x) 1))
58.0ms
(sqrt (- (/ 1 x) 1))

simplify694.0ms

Counts
93 → 93
Iterations
IterNodes
done2001
31098
2540
1284
0162

prune435.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
8×*-un-lft-identity add-cbrt-cube add-exp-log add-log-exp
6×add-sqr-sqrt
5×add-cube-cbrt
3×associate-+l+ log-prod associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×sum-log diff-log distribute-lft-out
1×+-commutative sub-neg flip3-+ flip3-- associate-*r* log-pow *-commutative flip-+ flip-- associate--r+ unswap-sqr
Counts
3 → 52
Calls
3 calls:
41.0ms
(- (* -1/2 (* x x)) (+ (log x) x))
11.0ms
(+ (log x) x)
33.0ms
(* -1/2 (* x x))

series330.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- (* -1/2 (* x x)) (+ (log x) x))
268.0ms
(+ (log x) x)
34.0ms
(* -1/2 (* x x))

simplify598.0ms

Counts
61 → 61
Iterations
IterNodes
done2000
2926
1286
0104

prune276.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.3s23875×body80nan
692.0ms8000×body80valid