Details

Time bar (total: 16.9s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms256×pre80true

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
010283
132283
2157283
3744283
43823243
done5148243

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.4b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i 2.0) (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)))
14.7b
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
148×add-sqr-sqrt
100×*-un-lft-identity add-cube-cbrt
58×associate-*r*
28×add-cbrt-cube add-exp-log
27×difference-of-squares
13×associate-*l* 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-- log1p-expm1-u flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
2 → 191
Calls
2 calls:
174.0ms
(* (/ i 2.0) (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)))
61.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series225.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(* (/ i 2.0) (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)))
117.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify3.2s

Counts
197 → 197
Iterations

Useful iterations: done (3.1s)

IterNodesCost
033684523
1109878406
2385875300
done500375220

prune806.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
300×times-frac
193×add-sqr-sqrt
157×*-un-lft-identity add-cube-cbrt
49×add-cbrt-cube add-exp-log
45×associate-*r*
43×associate-*l*
26×associate-/l*
24×cbrt-undiv div-exp
18×div-inv
9×prod-exp cbrt-unprod unswap-sqr
6×associate-/r*
5×pow1
4×associate-/r/
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-- flip-- associate-/l/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 275
Calls
3 calls:
32.0ms
(/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0)))
11.0ms
(/ (/ i 2.0) (fma 2.0 i (sqrt 1.0)))
99.0ms
(* (/ (/ i 2.0) (fma 2.0 i (sqrt 1.0))) (/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0))))

series512.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0)))
139.0ms
(/ (/ i 2.0) (fma 2.0 i (sqrt 1.0)))
244.0ms
(* (/ (/ i 2.0) (fma 2.0 i (sqrt 1.0))) (/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0))))

simplify2.4s

Counts
284 → 284
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0429138859
11392127352
done5000123117

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

15.3b
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite56.0ms

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:
55.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series150.0ms

Counts
1 → 3
Calls
1 calls:
149.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify2.2s

Counts
39 → 39
Iterations

Useful iterations: done (2.2s)

IterNodesCost
010915105
133612766
2127811843
done500011603

prune174.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011338
113338
done13338

end0.0ms

sample1.2s

Algorithm
intervals
Results
963.0ms8000×body80valid
107.0ms8000×pre80true