Details

Time bar (total: 14.1s)

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms256×pre80true

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done5000
31029
2165
131
010

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×add-cbrt-cube add-exp-log
7×associate-/l*
5×cbrt-undiv div-exp div-inv
3×associate-/r*
2×associate-/r/
1×pow1 clear-num frac-2neg flip3-- prod-exp cbrt-unprod flip-- add-log-exp associate-/l/
Counts
1 → 50
Calls
1 calls:
36.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series135.0ms

Counts
1 → 3
Calls
1 calls:
135.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify770.0ms

Counts
53 → 53
Iterations
IterNodes
done5001
22095
1386
0143

prune276.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
81×add-sqr-sqrt
70×sqrt-prod
48×*-un-lft-identity add-cube-cbrt
36×associate-*r*
12×unswap-sqr
10×associate-*l* div-inv associate-/l*
9×add-cbrt-cube add-exp-log
4×pow1 associate-/r/
3×associate-/r* sqrt-div
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
2 → 132
Calls
2 calls:
150.0ms
(* (sqrt (/ i (* 2.0 2.0))) (/ (sqrt (/ i (* 2.0 2.0))) (- (* 2.0 (* i 2.0)) (/ 1.0 i))))
42.0ms
(/ (sqrt (/ i (* 2.0 2.0))) (- (* 2.0 (* i 2.0)) (/ 1.0 i)))

series346.0ms

Counts
2 → 6
Calls
2 calls:
207.0ms
(* (sqrt (/ i (* 2.0 2.0))) (/ (sqrt (/ i (* 2.0 2.0))) (- (* 2.0 (* i 2.0)) (/ 1.0 i))))
139.0ms
(/ (sqrt (/ i (* 2.0 2.0))) (- (* 2.0 (* i 2.0)) (/ 1.0 i)))

simplify3.3s

Counts
138 → 138
Iterations
IterNodes
done5001
24954
1632
0249

prune771.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ (/ i 2.0) 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i)))
15.6b
(log (/ (/ (/ i 2.0) 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
720×times-frac
335×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
135×log-prod
43×associate-/l*
30×div-inv
21×add-exp-log
12×div-exp
11×add-cbrt-cube
6×cbrt-undiv
4×rem-log-exp associate-/r/
3×pow1 associate-/r*
2×flip3-- flip-- add-log-exp
1×log-div clear-num frac-2neg log-pow associate-/l/
Counts
2 → 342
Calls
2 calls:
89.0ms
(/ (/ (/ i 2.0) 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i)))
52.0ms
(log (/ (/ (/ i 2.0) 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

series458.0ms

Counts
2 → 6
Calls
2 calls:
127.0ms
(/ (/ (/ i 2.0) 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i)))
331.0ms
(log (/ (/ (/ i 2.0) 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

simplify702.0ms

Counts
348 → 348
Iterations
IterNodes
done5000
11980
0746

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt
4×sum-log *-un-lft-identity add-cube-cbrt
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ flip-+
1×associate-+l+ associate-*r* *-commutative unswap-sqr
Counts
3 → 43
Calls
3 calls:
13.0ms
(+ (* (pow i 6) 4.0) (* 1.0 (pow i 4)))
14.0ms
(* 0.25 (* i i))
29.0ms
(+ (+ (* (pow i 6) 4.0) (* 1.0 (pow i 4))) (* 0.25 (* i i)))

series277.0ms

Counts
3 → 9
Calls
3 calls:
166.0ms
(+ (* (pow i 6) 4.0) (* 1.0 (pow i 4)))
40.0ms
(* 0.25 (* i i))
71.0ms
(+ (+ (* (pow i 6) 4.0) (* 1.0 (pow i 4))) (* 0.25 (* i i)))

simplify2.2s

Counts
52 → 52
Iterations
IterNodes
done5004
21754
1284
086

prune224.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample804.0ms

Algorithm
intervals
Results
483.0ms8000×body80valid
134.0ms8000×pre80true