Details

Time bar (total: 20.2s)

sample39.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
5.0ms256×pre80true

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 4 (3.7s)

IterNodesCost
01025
13125
216423
389019
4335915
done500015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×associate-/l*
5×cbrt-undiv div-exp div-inv
3×associate-/r*
2×associate-/r/
1×pow1 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l/ add-log-exp
Counts
1 → 50
Calls
1 calls:
67.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series116.0ms

Counts
1 → 3
Calls
1 calls:
115.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.7s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01431332
13631310
211061178
339671176
done50001176

prune153.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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)))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
68×times-frac
49×add-exp-log
43×add-sqr-sqrt
34×*-un-lft-identity
33×add-cube-cbrt
27×associate-*r*
25×add-cbrt-cube
22×div-exp
14×prod-exp
10×cbrt-undiv
9×div-inv
7×associate-/l*
6×cbrt-unprod
4×pow1 rec-exp 1-exp associate-/r/ unswap-sqr
3×associate-*l* associate-/r*
2×flip3-- flip-- add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 110
Calls
2 calls:
191.0ms
(* i (/ (/ 1 (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
63.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series186.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(* i (/ (/ 1 (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
70.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify1.8s

Counts
116 → 116
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02142740
15412555
215172219
done50002211

prune273.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b
(* i (* (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (/ (cbrt (/ 1 (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))))
0.2b
(/ (cbrt (/ 1 (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))
0.4b
(* (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (/ (cbrt (/ 1 (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))

rewrite531.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
55×add-sqr-sqrt
52×cbrt-prod
48×*-un-lft-identity
47×add-cube-cbrt
37×associate-*r*
35×add-exp-log
22×add-cbrt-cube
17×pow1 cbrt-div prod-exp cbrt-unprod
13×associate-*r/
10×frac-times associate-*l/ associate-/l*
9×pow-prod-down div-inv
5×cbrt-undiv div-exp unswap-sqr
4×associate-*l* associate-/r/
3×associate-/r* add-log-exp
2×flip3-- *-commutative flip--
1×frac-2neg clear-num associate-/l/
Counts
3 → 157
Calls
3 calls:
241.0ms
(* i (* (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (/ (cbrt (/ 1 (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))))
61.0ms
(/ (cbrt (/ 1 (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))
221.0ms
(* (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (/ (cbrt (/ 1 (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))

series460.0ms

Counts
3 → 9
Calls
3 calls:
179.0ms
(* i (* (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (/ (cbrt (/ 1 (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))))
147.0ms
(/ (cbrt (/ 1 (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))
133.0ms
(* (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (/ (cbrt (/ 1 (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))

simplify1.7s

Counts
166 → 166
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02755417
17205193
224724149
done50003940

prune507.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i 2.0))
0.5b
(/ (/ 1 2.0) (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i 2.0)))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
1976×times-frac
849×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
107×div-inv
57×associate-/r*
46×add-exp-log
33×div-exp
28×add-cbrt-cube
18×cbrt-undiv
16×associate-/r/ associate-/l*
3×rec-exp 1-exp associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 732
Calls
2 calls:
85.0ms
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i 2.0))
82.0ms
(/ (/ 1 2.0) (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i 2.0)))

series309.0ms

Counts
2 → 6
Calls
2 calls:
187.0ms
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i 2.0))
121.0ms
(/ (/ 1 2.0) (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i 2.0)))

simplify2.5s

Counts
738 → 738
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0125528173
1353425695
done500125188

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01217
11717
done1717

end0.0ms

sample904.0ms

Algorithm
intervals
Results
538.0ms8000×body80valid
153.0ms8000×pre80true