Details

Time bar (total: 14.7s)

sample41.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
5.0ms256×pre80true

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (4.0s)

IterNodesCost
01025
13225
216823
389419
4335315
done500015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 2.0 2.0) (/ 1.0 (* i i)))
0.4b
(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
0.5b
(/ 1.0 (* i i))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
17×add-cbrt-cube
11×add-sqr-sqrt
10×times-frac prod-exp
9×pow1 add-cube-cbrt *-un-lft-identity
8×div-exp
7×prod-diff
6×associate-/l*
5×cbrt-undiv add-log-exp
4×cbrt-unprod
3×expm1-log1p-u rec-exp pow-flip 1-exp pow-prod-down log1p-expm1-u div-inv
2×flip3-- frac-2neg associate-*l/ clear-num associate-/r* associate-/r/ flip-- difference-of-squares
1×sub-neg fma-neg diff-log inv-pow
Counts
3 → 84
Calls
3 calls:
36.0ms
(- (* 2.0 2.0) (/ 1.0 (* i i)))
113.0ms
(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
10.0ms
(/ 1.0 (* i i))

series172.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- (* 2.0 2.0) (/ 1.0 (* i i)))
63.0ms
(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
39.0ms
(/ 1.0 (* i i))

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01891478
14501301
213561104
done50001051

prune234.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))

series107.0ms

Counts
1 → 3
Calls
1 calls:
107.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))

simplify5.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
028248
151242
2132212
3603212
44570212
done5000212

prune80.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01015
11315
done1315

end0.0ms

sample832.0ms

Algorithm
intervals
Results
500.0ms8000×body80valid
145.0ms8000×pre80true