Details

Time bar (total: 14.4s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms256×pre80true

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
31029
2169
132
010

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize17.0ms

Local error

Found 1 expressions with local error:

17.8b
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

rewrite51.0ms

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:
49.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

series111.0ms

Counts
1 → 3
Calls
1 calls:
111.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

simplify1.8s

Counts
39 → 39
Iterations
IterNodes
done5001
22404
1342
0109

prune199.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
107×add-sqr-sqrt
71×*-un-lft-identity add-cube-cbrt
45×associate-*r* associate-*l*
37×add-cbrt-cube add-exp-log
18×cbrt-undiv div-exp
9×prod-exp cbrt-unprod unswap-sqr
8×div-inv
4×associate-/r/
3×pow1
1×expm1-log1p-u frac-times flip3-+ flip3-- pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ log1p-expm1-u flip-- add-log-exp
Counts
1 → 131
Calls
1 calls:
170.0ms
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))

series263.0ms

Counts
1 → 3
Calls
1 calls:
263.0ms
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))

simplify1.5s

Counts
134 → 134
Iterations
IterNodes
done5000
11127
0317

prune689.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
67×add-sqr-sqrt
52×add-cbrt-cube add-exp-log
46×*-un-lft-identity add-cube-cbrt
45×associate-*l*
25×cbrt-undiv div-exp
13×associate-*r*
12×prod-exp cbrt-unprod
6×div-inv unswap-sqr
4×pow1 associate-/r/
3×associate-/r* associate-/l/
2×expm1-log1p-u frac-times associate-*l/ associate-*r/ log1p-expm1-u add-log-exp
1×clear-num frac-2neg flip3-+ flip3-- pow-prod-down *-commutative flip-+ flip-- associate-/l*
Counts
2 → 128
Calls
2 calls:
64.0ms
(/ (* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ i 2.0)) (- (* i 2.0) (sqrt 1.0)))
76.0ms
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ i 2.0))

series397.0ms

Counts
2 → 6
Calls
2 calls:
279.0ms
(/ (* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ i 2.0)) (- (* i 2.0) (sqrt 1.0)))
117.0ms
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ i 2.0))

simplify1.2s

Counts
134 → 134
Iterations
IterNodes
done5001
1929
0286

prune679.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (/ (/ i 2.0) (- (* (* i 2.0) (* i 2.0)) (* (sqrt 1.0) (sqrt 1.0)))) (* (- (* i 2.0) (sqrt 1.0)) (/ i 2.0))) (- (* i 2.0) (sqrt 1.0)))
17.2b
(/ (/ i 2.0) (- (* (* i 2.0) (* i 2.0)) (* (sqrt 1.0) (sqrt 1.0))))
17.2b
(* (/ (/ i 2.0) (- (* (* i 2.0) (* i 2.0)) (* (sqrt 1.0) (sqrt 1.0)))) (* (- (* i 2.0) (sqrt 1.0)) (/ i 2.0)))

rewrite389.0ms

Algorithm
rewrite-expression-head
Rules
188×times-frac
96×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
91×add-cbrt-cube add-exp-log
58×associate-*l*
37×cbrt-undiv div-exp
30×prod-exp cbrt-unprod
27×difference-of-squares
18×frac-times
14×associate-*r/ associate-/l*
12×div-inv associate-/l/
11×flip3-- flip--
10×associate-*l/
8×pow1
7×associate-/r*
6×associate-/r/
3×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×associate-*r* *-commutative
Counts
3 → 240
Calls
3 calls:
111.0ms
(/ (* (/ (/ i 2.0) (- (* (* i 2.0) (* i 2.0)) (* (sqrt 1.0) (sqrt 1.0)))) (* (- (* i 2.0) (sqrt 1.0)) (/ i 2.0))) (- (* i 2.0) (sqrt 1.0)))
67.0ms
(/ (/ i 2.0) (- (* (* i 2.0) (* i 2.0)) (* (sqrt 1.0) (sqrt 1.0))))
199.0ms
(* (/ (/ i 2.0) (- (* (* i 2.0) (* i 2.0)) (* (sqrt 1.0) (sqrt 1.0)))) (* (- (* i 2.0) (sqrt 1.0)) (/ i 2.0)))

series720.0ms

Counts
3 → 9
Calls
3 calls:
252.0ms
(/ (* (/ (/ i 2.0) (- (* (* i 2.0) (* i 2.0)) (* (sqrt 1.0) (sqrt 1.0)))) (* (- (* i 2.0) (sqrt 1.0)) (/ i 2.0))) (- (* i 2.0) (sqrt 1.0)))
279.0ms
(/ (/ i 2.0) (- (* (* i 2.0) (* i 2.0)) (* (sqrt 1.0) (sqrt 1.0))))
189.0ms
(* (/ (/ i 2.0) (- (* (* i 2.0) (* i 2.0)) (* (sqrt 1.0) (sqrt 1.0)))) (* (- (* i 2.0) (sqrt 1.0)) (/ i 2.0)))

simplify1.7s

Counts
249 → 249
Iterations
IterNodes
done5001
11483
0445

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample870.0ms

Algorithm
intervals
Results
540.0ms8000×body80valid
176.0ms8000×pre80true