Details

Time bar (total: 12.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (3.9s)

IterNodesCost
01025
13125
216323
385619
4472215
done500015

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-undiv times-frac div-exp prod-exp cbrt-unprod associate-/l*
2×pow1 flip3-- associate-*r/ associate-/r/ flip--
1×sub-neg frac-2neg diff-log clear-num associate-/r* div-inv
Counts
2 → 37
Calls
2 calls:
10.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
19.0ms
(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

series159.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
93.0ms
(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

simplify981.0ms

Counts
43 → 43
Iterations

Useful iterations: done (979.0ms)

IterNodesCost
0109820
1292809
21002651
done5000650

prune85.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

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)))

rewrite35.0ms

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:
10.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
23.0ms
(/ (/ i (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

series162.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
94.0ms
(/ (/ i (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

simplify936.0ms

Counts
68 → 68
Iterations

Useful iterations: done (933.0ms)

IterNodesCost
01551548
14031521
212731361
done50001360

prune145.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
68×times-frac
50×add-exp-log
44×add-sqr-sqrt
35×*-un-lft-identity
34×add-cube-cbrt
27×associate-*r*
26×add-cbrt-cube
22×div-exp
14×prod-exp
10×cbrt-undiv
9×div-inv
7×associate-/l*
6×cbrt-unprod
5×pow1 add-log-exp
4×rec-exp 1-exp associate-/r/ unswap-sqr
3×flip3-- associate-*l* associate-/r* flip--
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 122
Calls
3 calls:
10.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
60.0ms
(* i (/ (/ 1 (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i))))
24.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

series237.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
97.0ms
(* i (/ (/ 1 (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i))))
71.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

simplify1.1s

Counts
131 → 131
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02252956
16152766
216972402
done50012394

prune228.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.1b
(/ (sqrt (/ i (* 2.0 2.0))) (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (sqrt (/ i (* 2.0 2.0)))))
0.3b
(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (sqrt (/ i (* 2.0 2.0))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
929×times-frac
511×sqrt-prod
354×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
86×div-inv
45×associate-/r*
13×sqrt-div associate-/r/ associate-/l*
10×add-exp-log add-cbrt-cube
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 associate-/l/
2×flip3-- frac-2neg clear-num flip--
1×sub-neg diff-log div-sub
Counts
3 → 482
Calls
3 calls:
10.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
38.0ms
(/ (sqrt (/ i (* 2.0 2.0))) (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (sqrt (/ i (* 2.0 2.0)))))
35.0ms
(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (sqrt (/ i (* 2.0 2.0))))

series342.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
149.0ms
(/ (sqrt (/ i (* 2.0 2.0))) (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (sqrt (/ i (* 2.0 2.0)))))
122.0ms
(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (sqrt (/ i (* 2.0 2.0))))

simplify978.0ms

Counts
491 → 491
Iterations

Useful iterations: done (944.0ms)

IterNodesCost
076020508
1167319403
done500019287

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
11015
done1015

end0.0ms

sample385.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid
66.0ms8000×pre80true