Details

Time bar (total: 8.7s)

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
01025
13125
216323
385619
4472415
done500015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ 1 2.0) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) 2.0))
0.3b
(/ 1.0 (* i i))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
34×times-frac
29×add-exp-log
19×add-cbrt-cube
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/l*
14×div-exp
8×cbrt-undiv
5×prod-exp
4×div-inv
3×cbrt-unprod
2×pow1 rec-exp frac-2neg 1-exp associate-*l/ clear-num associate-/r* associate-/r/ add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 73
Calls
2 calls:
12.0ms
(/ (/ 1 2.0) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) 2.0))
3.0ms
(/ 1.0 (* i i))

series78.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (/ 1 2.0) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) 2.0))
24.0ms
(/ 1.0 (* i i))

simplify2.2s

Counts
79 → 79
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01831329
14461254
212191051
348881049
done50001049

prune127.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.25 (pow i 2))
0.0b
(* 4.0 (pow i 6))
0.0b
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
9×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
5×add-log-exp
4×sqr-pow
3×pow1
2×pow-to-exp pow-exp *-commutative cbrt-unprod unpow2
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 63
Calls
3 calls:
6.0ms
(* 0.25 (pow i 2))
5.0ms
(* 4.0 (pow i 6))
4.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(* 0.25 (pow i 2))
48.0ms
(* 4.0 (pow i 6))
128.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify2.2s

Counts
72 → 72
Iterations

Useful iterations: 3 (681.0ms)

IterNodesCost
0118703
1282640
2771571
33430555
done5001555

prune161.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11415
done1415

end0.0ms

sample372.0ms

Algorithm
intervals
Results
219.0ms8000×body80valid
63.0ms8000×pre80true