Details

Time bar (total: 12.0s)

sample18.0ms

Algorithm
intervals
Results
8.0ms255×body80valid
0.0ms1×body2560valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11511
22211
32511
42611
done2611

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b
(/ (* x y) 2.0)
9.3b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
16×times-frac
14×add-cube-cbrt
10×add-exp-log add-cbrt-cube
7×associate-/r*
5×add-log-exp
4×distribute-lft-out associate-/l*
3×pow1 cbrt-undiv div-exp
2×frac-2neg clear-num associate-/r/ div-inv difference-of-squares
1×sub-neg flip3-- flip3-+ diff-log prod-exp flip-- cbrt-unprod flip-+ distribute-lft-out--
Counts
3 → 69
Calls
3 calls:
31.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
17.0ms
(/ (* x y) 2.0)
16.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
28.0ms
(/ (* x y) 2.0)
76.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify2.2s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01541099
13531030
21045960
34012956
done5001956

prune178.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b
(/ (* x y) 2.0)
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
9.3b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
101×*-un-lft-identity
78×add-sqr-sqrt
64×add-cube-cbrt
22×add-exp-log associate-/r*
16×add-cbrt-cube distribute-lft-out
10×div-exp
8×div-inv associate-/l*
6×cbrt-undiv add-log-exp
5×pow1 difference-of-squares
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/l/ distribute-lft-out--
1×sub-neg flip3-- pow-flip flip3-+ diff-log prod-exp associate-/r/ flip-- cbrt-unprod flip-+ inv-pow
Counts
4 → 161
Calls
4 calls:
44.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
10.0ms
(/ (* x y) 2.0)
21.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
44.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series220.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
30.0ms
(/ (* x y) 2.0)
77.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
60.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.5s

Counts
173 → 173
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02603088
15922741
214822438
done50002410

prune340.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
0.1b
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×*-un-lft-identity
11×times-frac
10×add-cube-cbrt
6×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r* associate-/l* difference-of-squares
2×div-exp associate-/r/ div-inv distribute-lft-out--
1×cbrt-undiv sub-neg rec-exp flip3-- pow-flip frac-2neg flip3-+ diff-log 1-exp clear-num flip-- flip-+ inv-pow
Counts
2 → 50
Calls
2 calls:
84.0ms
(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
39.0ms
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
93.0ms
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

simplify2.0s

Counts
56 → 56
Iterations

Useful iterations: 3 (633.0ms)

IterNodesCost
0117925
1276843
2716789
31849783
done5000783

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
9.5b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
9.5b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
9.5b
(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
27×cbrt-prod associate-*r*
23×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1 distribute-lft-out
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 125
Calls
4 calls:
276.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
7.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
7.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
399.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
406.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
365.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify1.8s

Counts
137 → 137
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02434271
16783936
222533157
done50002959

prune514.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11411
done1411

end0.0ms

sample705.0ms

Algorithm
intervals
Results
443.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body640valid