Details

Time bar (total: 31.1s)

sample81.0ms

Algorithm
intervals
Results
19.0ms547×body80nan
16.0ms208×body160nan
12.0ms256×body80valid

simplify48.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
07

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize37.0ms

Local error

Found 2 expressions with local error:

0.2b
(log (+ x (sqrt (- (* x x) 1.0))))
30.6b
(sqrt (- (* x x) 1.0))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 log-prod add-cube-cbrt sqrt-prod
3×add-exp-log
2×expm1-log1p-u log-div add-cbrt-cube sqrt-div insert-posit16 log1p-expm1-u add-log-exp
1×rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 rem-log-exp log-pow flip-+ flip-- distribute-lft-out difference-of-squares
Counts
2 → 37
Calls
2 calls:
31.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
37.0ms
(sqrt (- (* x x) 1.0))

series387.0ms

Counts
2 → 6
Calls
2 calls:
299.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
88.0ms
(sqrt (- (* x x) 1.0))

simplify6.1s

Counts
43 → 43
Iterations
IterNodes
done5000
33648
2857
1287
0131

prune501.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 0.09375 (* x x)) (* x x))
0.1b
(/ (/ 0.25 x) x)
0.2b
(+ (log 2) (- (log x) (/ (/ 0.25 x) x)))
0.5b
(/ 0.09375 (* x x))

rewrite340.0ms

Algorithm
rewrite-expression-head
Rules
355×times-frac
249×*-un-lft-identity
238×add-sqr-sqrt add-cube-cbrt
177×associate-+r+
172×prod-diff
53×pow1
49×log-pow
35×add-cbrt-cube add-exp-log
25×div-inv
23×associate-/l*
15×cbrt-undiv div-exp
6×log-prod prod-exp cbrt-unprod distribute-lft-out add-log-exp
5×associate-/r*
4×expm1-log1p-u fma-def insert-posit16 log1p-expm1-u distribute-lft-out--
3×associate-+l+ clear-num frac-2neg associate--l+
2×sum-log associate-/l/
1×+-commutative associate-+r- sub-neg flip3-+ diff-log flip-+
Counts
4 → 344
Calls
4 calls:
26.0ms
(/ (/ 0.09375 (* x x)) (* x x))
28.0ms
(/ (/ 0.25 x) x)
160.0ms
(+ (log 2) (- (log x) (/ (/ 0.25 x) x)))
12.0ms
(/ 0.09375 (* x x))

series1.2s

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ (/ 0.09375 (* x x)) (* x x))
42.0ms
(/ (/ 0.25 x) x)
1.0s
(+ (log 2) (- (log x) (/ (/ 0.25 x) x)))
55.0ms
(/ 0.09375 (* x x))

simplify6.6s

Counts
356 → 356
Iterations
IterNodes
done5000
24619
11613
0625

prune3.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 2 expressions with local error:

0.2b
(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
0.6b
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×sqrt-prod
12×sqrt-div
11×*-un-lft-identity
9×associate-*r*
7×pow1 associate-*l* add-cube-cbrt
5×add-exp-log
4×frac-times flip3-+ add-cbrt-cube flip-+ unswap-sqr
3×log-prod flip3-- pow-prod-down flip--
2×expm1-log1p-u log-div sqrt-pow1 pow1/2 associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
1×sqrt-unprod rem-log-exp prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out distribute-lft-out--
Counts
2 → 62
Calls
2 calls:
11.0ms
(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
116.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series739.0ms

Counts
2 → 6
Calls
2 calls:
435.0ms
(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
304.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify6.9s

Counts
68 → 68
Iterations
IterNodes
done5000
34174
21201
1424
0184

prune747.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done15
115
014

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.2s7582×body160nan
881.0ms16009×body80nan
387.0ms8000×body80valid