Details

Time bar (total: 27.8s)

sample36.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
4.0ms256×pre80true

simplify7.0s

Counts
1 → 1
Iterations
IterNodes
done5027
43805
3712
2154
132
010

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.7b

localize26.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
13.1b
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite441.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
148×add-sqr-sqrt
100×add-cube-cbrt *-un-lft-identity
58×associate-*l*
28×add-exp-log add-cbrt-cube
27×difference-of-squares
13×associate-*r* associate-/l*
12×cbrt-undiv div-exp div-inv
6×prod-exp cbrt-unprod unswap-sqr
4×pow1 associate-/r* associate-/r/
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 191
Calls
2 calls:
314.0ms
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
113.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series339.0ms

Counts
2 → 6
Calls
2 calls:
161.0ms
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
178.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify4.8s

Counts
197 → 197
Iterations
IterNodes
done5001
24096
11095
0335

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
58×add-exp-log add-cbrt-cube
45×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
24×cbrt-undiv div-exp
19×associate-*r*
16×prod-exp cbrt-unprod associate-/l*
15×associate-*l*
8×associate-/r/
7×div-inv
5×pow1 associate-*r/
4×associate-/r*
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- frac-2neg flip3-+ clear-num flip-- flip-+ unswap-sqr
1×frac-times pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
3 → 151
Calls
3 calls:
51.0ms
(/ (/ i 2.0) (* 2.0 (- (* 2.0 i) (sqrt 1.0))))
35.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))
225.0ms
(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i 2.0) (* 2.0 (- (* 2.0 i) (sqrt 1.0)))))

series676.0ms

Counts
3 → 9
Calls
3 calls:
169.0ms
(/ (/ i 2.0) (* 2.0 (- (* 2.0 i) (sqrt 1.0))))
156.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))
351.0ms
(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i 2.0) (* 2.0 (- (* 2.0 i) (sqrt 1.0)))))

simplify4.2s

Counts
160 → 160
Iterations
IterNodes
done5002
23750
1871
0289

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log add-cbrt-cube
37×add-sqr-sqrt
32×times-frac
25×add-cube-cbrt *-un-lft-identity
23×cbrt-undiv div-exp
17×prod-exp cbrt-unprod
15×associate-*l*
13×associate-*r*
6×associate-/r/
5×pow1
4×associate-*r/ associate-/r* div-inv associate-/l* unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
2×frac-times frac-2neg flip3-+ associate-*l/ clear-num flip-+
1×flip3-- pow-prod-down *-commutative flip--
Counts
3 → 125
Calls
3 calls:
107.0ms
(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ i 2.0))
35.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))
97.0ms
(/ (* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ i 2.0)) (* 2.0 (- (* 2.0 i) (sqrt 1.0))))

series735.0ms

Counts
3 → 9
Calls
3 calls:
172.0ms
(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ i 2.0))
172.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))
391.0ms
(/ (* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ i 2.0)) (* 2.0 (- (* 2.0 i) (sqrt 1.0))))

simplify4.1s

Counts
134 → 134
Iterations
IterNodes
done5167
23673
1798
0251

prune821.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample1.2s

Algorithm
intervals
Results
658.0ms8000×body80valid
317.0ms8000×pre80true