Details

Time bar (total: 10.0s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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)
7.6b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
85×*-un-lft-identity
62×add-sqr-sqrt
57×add-cube-cbrt
54×prod-diff
52×times-frac
13×distribute-lft-out
10×add-exp-log add-cbrt-cube
8×associate-/r/
7×associate-/r*
5×div-inv add-log-exp
4×flip3-+ flip-+ associate-/l*
3×pow1 cbrt-undiv expm1-log1p-u fma-neg div-exp log1p-expm1-u
2×frac-2neg clear-num difference-of-squares
1×sub-neg flip3-- diff-log prod-exp flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 132
Calls
3 calls:
55.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
15.0ms
(/ (* x y) 2.0)
25.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
27.0ms
(/ (* x y) 2.0)
88.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify2.4s

Counts
141 → 141
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02695145
17084576
234383450
done50002908

prune331.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
0.2b
(/ x (/ 2.0 y))
7.6b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
124×times-frac
102×add-sqr-sqrt
97×add-cube-cbrt
54×prod-diff
17×associate-/r*
13×distribute-lft-out
10×add-exp-log add-cbrt-cube
9×associate-/r/ div-inv
6×associate-/l*
5×add-log-exp
4×cbrt-undiv flip3-+ div-exp flip-+
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×frac-2neg clear-num difference-of-squares
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 181
Calls
3 calls:
126.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
13.0ms
(/ x (/ 2.0 y))
66.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series167.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
28.0ms
(/ x (/ 2.0 y))
90.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify1.9s

Counts
190 → 190
Iterations

Useful iterations: 2 (764.0ms)

IterNodesCost
03635839
19495224
247093854
done50003854

prune394.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
0.1b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
7.6b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
217×add-sqr-sqrt
208×*-un-lft-identity
203×add-cube-cbrt
132×prod-diff
19×div-inv
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×associate-/l*
5×add-log-exp difference-of-squares
4×pow1 cbrt-undiv associate-/r/
3×expm1-log1p-u fma-neg log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log flip-- inv-pow
Counts
3 → 263
Calls
3 calls:
34.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
10.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
5.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series159.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
61.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
55.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify687.0ms

Counts
272 → 272
Iterations

Useful iterations: done (671.0ms)

IterNodesCost
051613640
1137511231
done50018692

prune407.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
50×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
38×times-frac
7×add-exp-log
5×add-cbrt-cube div-inv add-log-exp
4×pow1
3×expm1-log1p-u fma-neg associate-/r* log1p-expm1-u associate-/l* difference-of-squares
2×div-exp distribute-lft-out--
1×cbrt-undiv sub-neg rec-exp flip3-- pow-flip frac-2neg diff-log 1-exp clear-num flip-- fma-udef inv-pow
Counts
3 → 104
Calls
3 calls:
25.0ms
(- x (/ 1 (fma x 0.5 (/ 1.0 y))))
1.0ms
(fma x 0.5 (/ 1.0 y))
13.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- x (/ 1 (fma x 0.5 (/ 1.0 y))))
64.0ms
(fma x 0.5 (/ 1.0 y))
69.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

simplify1.4s

Counts
113 → 113
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02043658
14852923
218922118
done50001880

prune179.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11011
done1011

end0.0ms

sample993.0ms

Algorithm
intervals
Results
733.0ms7999×body80valid
0.0ms1×body2560valid