Details

Time bar (total: 12.2s)

sample31.0ms

Algorithm
intervals
Results
15.0ms255×body80valid
0.0ms1×body2560valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)))

rewrite375.0ms

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:
342.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
10.0ms
(/ (* x y) 2.0)
16.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
23.0ms
(/ (* x y) 2.0)
97.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.5s

Counts
141 → 141
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02695145
16544567
219043401
done50002517

prune384.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

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))
9.3b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite123.0ms

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:
65.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
18.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
5.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series227.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
92.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
67.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify2.0s

Counts
272 → 272
Iterations

Useful iterations: done (1.9s)

IterNodesCost
051613640
1125311229
223788165
done50016698

prune421.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
49×*-un-lft-identity
45×add-cube-cbrt
39×prod-diff
38×times-frac
6×add-exp-log
5×div-inv
4×add-cbrt-cube add-log-exp
3×pow1 fma-neg associate-/r* associate-/l* difference-of-squares
2×expm1-log1p-u div-exp log1p-expm1-u distribute-lft-out--
1×cbrt-undiv sub-neg rec-exp flip3-- pow-flip frac-2neg diff-log 1-exp clear-num flip-- inv-pow
Counts
2 → 94
Calls
2 calls:
14.0ms
(- x (/ 1 (fma 0.5 x (/ 1.0 y))))
9.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- x (/ 1 (fma 0.5 x (/ 1.0 y))))
60.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

simplify2.8s

Counts
100 → 100
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01963544
14442810
28882021
324961773
done50001175

prune152.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

9.5b
(cbrt (fma (/ x 2.0) y 1.0))
9.5b
(cbrt (fma (/ x 2.0) y 1.0))
9.5b
(cbrt (fma (/ x 2.0) y 1.0))
9.5b
(cbrt (fma (/ x 2.0) y 1.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))

series1.4s

Counts
4 → 12
Calls
4 calls:
343.0ms
(cbrt (fma (/ x 2.0) y 1.0))
323.0ms
(cbrt (fma (/ x 2.0) y 1.0))
385.0ms
(cbrt (fma (/ x 2.0) y 1.0))
381.0ms
(cbrt (fma (/ x 2.0) y 1.0))

simplify1.3s

Counts
64 → 64
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0691192
11611148
24641064
316691008
done5001804

prune323.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11110
done1110

end0.0ms

sample643.0ms

Algorithm
intervals
Results
399.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body640valid