Details

Time bar (total: 8.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify15.0ms

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: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
8.7b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
9×add-exp-log add-cbrt-cube
7×associate-/r*
4×distribute-lft-out associate-/l*
3×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/r/ div-inv add-log-exp
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 54
Calls
2 calls:
16.0ms
(/ (* x y) 2.0)
16.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (* x y) 2.0)
74.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify876.0ms

Counts
60 → 60
Iterations

Useful iterations: 2 (282.0ms)

IterNodesCost
0128770
1319730
21690674
done5002674

prune179.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.7b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
95×*-un-lft-identity
63×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
21×add-exp-log
16×distribute-lft-out
15×add-cbrt-cube
10×div-exp
8×associate-/l*
7×div-inv
6×cbrt-undiv
4×pow1
3×frac-2neg clear-num add-log-exp
2×rec-exp 1-exp associate-/l/
1×pow-flip flip3-+ prod-exp associate-/r/ cbrt-unprod flip-+ inv-pow
Counts
3 → 142
Calls
3 calls:
10.0ms
(/ (* x y) 2.0)
21.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
43.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series142.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (* x y) 2.0)
64.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
56.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.6s

Counts
151 → 151
Iterations

Useful iterations: 2 (564.0ms)

IterNodesCost
02282600
16012294
233552168
done50002168

prune262.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b
(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
5.2b
(sqrt (+ 1.0 (/ (* x y) 2.0)))
5.2b
(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite493.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
85×times-frac
80×*-un-lft-identity
59×sqrt-prod
50×add-cube-cbrt
30×add-exp-log
27×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
12×distribute-lft-out
10×pow1 sqrt-div div-exp
8×prod-exp
7×associate-/r*
6×associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv associate-/l*
2×rem-sqrt-square
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 176
Calls
4 calls:
28.0ms
(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
418.0ms
(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
17.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
16.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

series655.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
103.0ms
(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
147.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
150.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify2.7s

Counts
188 → 188
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02444279
17353887
244953493
done50003485

prune559.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
11513
done1513

end0.0ms

sample859.0ms

Algorithm
intervals
Results
557.0ms7997×body80valid
0.0ms2×body1280valid
0.0ms1×body2560valid