Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2265
3295
4305
5305
done305

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
17.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify140.0ms

Counts
38 → 38
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0214293
1824273
24306265
35001264
done5001264

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.3b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 125
Calls
2 calls:
19.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
32.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series108.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
51.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify52.0ms

Counts
131 → 131
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04521205
121191085
25001966
done5001966

prune173.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3)
0.1b
(/ 1 (cbrt (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3)))
7.3b
(/ (+ 1.0 (/ (* x y) 2.0)) y)
42.9b
(cbrt (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
241×*-un-lft-identity
190×cbrt-prod
161×add-sqr-sqrt add-cube-cbrt
96×unpow-prod-down cube-prod
44×associate-/r*
40×distribute-lft-out
14×div-inv
13×add-exp-log
10×add-cbrt-cube
7×associate-/l*
6×pow1 cube-mult unpow3 sqr-pow
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×cbrt-undiv cube-div pow-unpow
2×cbrt-div pow-flip frac-2neg pow1/3 pow-exp clear-num associate-/l/ rem-cube-cbrt
1×pow-to-exp rec-exp pow-pow flip3-+ 1-exp associate-/r/ rem-cbrt-cube flip-+ inv-pow
Counts
4 → 326
Calls
4 calls:
16.0ms
(pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3)
42.0ms
(/ 1 (cbrt (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3)))
30.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)
17.0ms
(cbrt (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3))

series288.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3)
99.0ms
(/ 1 (cbrt (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3)))
53.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)
65.0ms
(cbrt (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3))

simplify108.0ms

Counts
338 → 338
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07313660
135042935
250022889
done50022889

prune407.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115
done115

end0.0ms

sample369.0ms

Algorithm
intervals
Results
204.0ms7999×body80valid
0.0ms1×body2560valid