Details

Time bar (total: 13.7s)

sample44.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
5.0ms256×pre80true

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
31029
2169
132
010

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize13.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
5×add-sqr-sqrt
4×associate-/r* times-frac prod-exp cbrt-unprod
3×*-un-lft-identity add-cube-cbrt associate-/l/
2×associate-/r/ difference-of-squares
1×expm1-log1p-u frac-times pow1 clear-num frac-2neg flip3-- associate-*l/ associate-*r/ log1p-expm1-u div-inv flip-- associate-/l* add-log-exp
Counts
1 → 36
Calls
1 calls:
88.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

series117.0ms

Counts
1 → 3
Calls
1 calls:
117.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

simplify1.7s

Counts
39 → 39
Iterations
IterNodes
done5001
22404
1342
0109

prune197.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0)))
0.0b
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
86×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
26×associate-/l*
12×add-cbrt-cube add-exp-log
10×div-inv
6×cbrt-undiv associate-/r* div-exp
4×associate-/r/
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
1×flip3-+ flip3-- flip-+ flip--
Counts
2 → 148
Calls
2 calls:
17.0ms
(/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0)))
21.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))

series240.0ms

Counts
2 → 6
Calls
2 calls:
130.0ms
(/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0)))
110.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))

simplify1.9s

Counts
154 → 154
Iterations
IterNodes
done5002
23351
1748
0287

prune979.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
0.0b
(sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))))
0.0b
(sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))))
0.3b
(* (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))) (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
501×times-frac
332×add-sqr-sqrt
296×sqrt-prod
260×*-un-lft-identity add-cube-cbrt
50×swap-sqr
48×associate-*r* associate-*l*
29×div-inv
21×pow1
16×unswap-sqr
14×associate-/r/
13×associate-/l*
11×add-cbrt-cube add-exp-log
10×sqrt-pow1 pow1/2
7×flip3-+ flip-+
6×rem-sqrt-square sqrt-div
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* div-exp pow-prod-down pow-sqr
1×pow2 frac-times clear-num rem-square-sqrt frac-2neg pow-plus sqrt-unprod associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod associate-/l/
Counts
4 → 386
Calls
4 calls:
24.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
35.0ms
(sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))))
32.0ms
(sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))))
132.0ms
(* (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))) (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))))

series934.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
256.0ms
(sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))))
261.0ms
(sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))))
254.0ms
(* (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))) (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))))

simplify1.1s

Counts
398 → 398
Iterations
IterNodes
done5000
11121
0542

prune3.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample1.3s

Algorithm
intervals
Results
971.0ms8000×body80valid
113.0ms8000×pre80true