Details

Time bar (total: 17.7s)

sample38.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
4.0ms256×pre80true

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 4 (3.6s)

IterNodesCost
01025
13125
216423
389019
4335915
done500015

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
0.1b
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
7×associate-/l*
5×cbrt-undiv div-exp div-inv
4×add-log-exp
3×associate-/r*
2×pow1 flip3-- associate-/r/ flip--
1×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
Counts
2 → 62
Calls
2 calls:
25.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
47.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series174.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
102.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.3s

Counts
68 → 68
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01561548
13951521
211901361
343651355
done50001355

prune211.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
0.2b
(* (/ (sqrt i) 2.0) (/ (/ (sqrt i) 2.0) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
0.3b
(/ (/ (sqrt i) 2.0) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

rewrite307.0ms

Algorithm
rewrite-expression-head
Rules
299×times-frac
200×add-sqr-sqrt
153×add-cube-cbrt *-un-lft-identity
79×sqrt-prod
72×associate-*r*
29×add-exp-log add-cbrt-cube
22×associate-*l* associate-/l*
12×cbrt-undiv div-exp unswap-sqr
10×div-inv
6×prod-exp cbrt-unprod
5×pow1 add-log-exp
4×associate-/r/
3×flip3-- associate-/r* flip--
1×frac-times sub-neg frac-2neg diff-log associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
3 → 250
Calls
3 calls:
21.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
181.0ms
(* (/ (sqrt i) 2.0) (/ (/ (sqrt i) 2.0) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
74.0ms
(/ (/ (sqrt i) 2.0) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series373.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
134.0ms
(* (/ (sqrt i) 2.0) (/ (/ (sqrt i) 2.0) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
151.0ms
(/ (/ (sqrt i) 2.0) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify1.9s

Counts
259 → 259
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03676774
111146297
238105901
done50005849

prune784.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×add-log-exp
8×add-exp-log associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down sum-log unswap-sqr
3×pow1 associate-*l* prod-exp
2×+-commutative flip3-+ flip-+ unpow2 sqr-pow
1×pow-to-exp associate-+r+ pow-exp *-commutative cbrt-unprod
Counts
3 → 51
Calls
3 calls:
19.0ms
(* 0.25 (pow i 2))
29.0ms
(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
10.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series280.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* 0.25 (pow i 2))
67.0ms
(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
176.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify3.8s

Counts
60 → 60
Iterations

Useful iterations: done (3.8s)

IterNodesCost
0100889
1280808
2916735
34666735
done5000730

prune245.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11215
done1215

end0.0ms

sample1.3s

Algorithm
intervals
Results
941.0ms8000×body80valid
183.0ms8000×pre80true