Details

Time bar (total: 11.6s)

sample25.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms256×pre80true

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done5000
31029
2165
131
010

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
18×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
7×associate-/l*
5×cbrt-undiv div-exp div-inv
4×add-log-exp
3×associate-/r*
2×pow1 flip3-- associate-/r/ flip--
1×clear-num sub-neg frac-2neg diff-log prod-exp cbrt-unprod associate-/l/
Counts
2 → 62
Calls
2 calls:
33.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
70.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series225.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
137.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify1.1s

Counts
68 → 68
Iterations
IterNodes
done5001
22272
1418
0156

prune306.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* i 4.0) (/ 1.0 i))
0.1b
(/ (/ i (* 2.0 2.0)) (- (* i 4.0) (/ 1.0 i)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
18×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
7×associate-/l*
5×cbrt-undiv div-exp div-inv
4×add-log-exp
3×associate-/r*
2×pow1 flip3-- associate-/r/ flip--
1×clear-num sub-neg frac-2neg diff-log prod-exp cbrt-unprod associate-/l/
Counts
2 → 62
Calls
2 calls:
9.0ms
(- (* i 4.0) (/ 1.0 i))
25.0ms
(/ (/ i (* 2.0 2.0)) (- (* i 4.0) (/ 1.0 i)))

series264.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(- (* i 4.0) (/ 1.0 i))
171.0ms
(/ (/ i (* 2.0 2.0)) (- (* i 4.0) (/ 1.0 i)))

simplify1.0s

Counts
68 → 68
Iterations
IterNodes
done5000
22207
1415
0155

prune271.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* i 4.0) (/ 1.0 i))
0.1b
(* (/ i (* 2.0 2.0)) (/ 1 (- (* i 4.0) (/ 1.0 i))))
0.1b
(/ 1 (- (* i 4.0) (/ 1.0 i)))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
34×add-sqr-sqrt
28×times-frac
26×add-cbrt-cube
22×*-un-lft-identity
20×add-cube-cbrt
16×div-exp prod-exp
15×associate-*r*
8×cbrt-undiv cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
5×add-log-exp
4×rec-exp 1-exp associate-/r/
3×associate-/r* flip3-- div-inv flip-- associate-/l*
1×frac-times clear-num sub-neg frac-2neg diff-log pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 104
Calls
3 calls:
17.0ms
(- (* i 4.0) (/ 1.0 i))
112.0ms
(* (/ i (* 2.0 2.0)) (/ 1 (- (* i 4.0) (/ 1.0 i))))
19.0ms
(/ 1 (- (* i 4.0) (/ 1.0 i)))

series351.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(- (* i 4.0) (/ 1.0 i))
150.0ms
(* (/ i (* 2.0 2.0)) (/ 1 (- (* i 4.0) (/ 1.0 i))))
94.0ms
(/ 1 (- (* i 4.0) (/ 1.0 i)))

simplify2.1s

Counts
113 → 113
Iterations
IterNodes
done5002
23656
1594
0196

prune363.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ i (* 2.0 2.0)) (/ 1 (/ (- (* (* i i) (* 4.0 4.0)) (/ (* (/ 1.0 i) 1.0) i)) (+ (/ 1.0 i) (* i 4.0)))))
0.1b
(/ 1 (/ (- (* (* i i) (* 4.0 4.0)) (/ (* (/ 1.0 i) 1.0) i)) (+ (/ 1.0 i) (* i 4.0))))
0.1b
(/ (* (/ 1.0 i) 1.0) i)
29.9b
(/ (- (* (* i i) (* 4.0 4.0)) (/ (* (/ 1.0 i) 1.0) i)) (+ (/ 1.0 i) (* i 4.0)))

rewrite398.0ms

Algorithm
rewrite-expression-head
Rules
185×times-frac
125×add-sqr-sqrt
104×add-exp-log
101×*-un-lft-identity
97×add-cube-cbrt
56×add-cbrt-cube
50×associate-*r*
47×div-exp
30×prod-exp
23×cbrt-undiv
21×associate-/r*
18×associate-/r/
14×cbrt-unprod
12×div-inv
10×unswap-sqr
8×rec-exp flip3-+ 1-exp flip-+
7×pow1 associate-*l* associate-/l*
4×add-log-exp
3×clear-num frac-2neg associate-/l/
2×associate-*l/
1×frac-times flip3-- div-sub pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip flip-- inv-pow
Counts
4 → 250
Calls
4 calls:
229.0ms
(* (/ i (* 2.0 2.0)) (/ 1 (/ (- (* (* i i) (* 4.0 4.0)) (/ (* (/ 1.0 i) 1.0) i)) (+ (/ 1.0 i) (* i 4.0)))))
55.0ms
(/ 1 (/ (- (* (* i i) (* 4.0 4.0)) (/ (* (/ 1.0 i) 1.0) i)) (+ (/ 1.0 i) (* i 4.0))))
10.0ms
(/ (* (/ 1.0 i) 1.0) i)
83.0ms
(/ (- (* (* i i) (* 4.0 4.0)) (/ (* (/ 1.0 i) 1.0) i)) (+ (/ 1.0 i) (* i 4.0)))

series680.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (/ i (* 2.0 2.0)) (/ 1 (/ (- (* (* i i) (* 4.0 4.0)) (/ (* (/ 1.0 i) 1.0) i)) (+ (/ 1.0 i) (* i 4.0)))))
148.0ms
(/ 1 (/ (- (* (* i i) (* 4.0 4.0)) (/ (* (/ 1.0 i) 1.0) i)) (+ (/ 1.0 i) (* i 4.0))))
51.0ms
(/ (* (/ 1.0 i) 1.0) i)
284.0ms
(/ (- (* (* i i) (* 4.0 4.0)) (/ (* (/ 1.0 i) 1.0) i)) (+ (/ 1.0 i) (* i 4.0)))

simplify695.0ms

Counts
262 → 262
Iterations
IterNodes
done5000
11397
0406

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample914.0ms

Algorithm
intervals
Results
541.0ms8000×body80valid
171.0ms8000×pre80true