Details

Time bar (total: 13.5s)

sample25.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11511
22211
32511
42611
done2611

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
6.0b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite35.0ms

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:
10.0ms
(/ (* x y) 2.0)
23.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (* x y) 2.0)
110.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify2.5s

Counts
60 → 60
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0128770
1294730
2896668
33649666
done5000666

prune154.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ x (/ 2.0 y))
6.0b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
61×*-un-lft-identity
53×add-sqr-sqrt add-cube-cbrt
17×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp distribute-lft-out
3×associate-/r/
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-+ flip-+
Counts
2 → 103
Calls
2 calls:
13.0ms
(/ x (/ 2.0 y))
45.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series127.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (/ 2.0 y))
92.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify3.4s

Counts
109 → 109
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
02251464
14901362
215281292
348021288
done50001288

prune350.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.9b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite124.0ms

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:
15.0ms
(/ (* x y) 2.0)
37.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
66.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series191.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (* x y) 2.0)
92.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
68.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify3.1s

Counts
151 → 151
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
02282600
15162294
213042047
344342021
done50002021

prune267.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r* associate-/l*
2×flip3-+ div-exp associate-/r/ flip-+
1×cbrt-undiv +-commutative rec-exp pow-flip frac-2neg 1-exp clear-num sum-log div-inv inv-pow
Counts
2 → 44
Calls
2 calls:
20.0ms
(+ (* 0.5 x) (/ 1.0 y))
39.0ms
(/ 1 (+ (* 0.5 x) (/ 1.0 y)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (* 0.5 x) (/ 1.0 y))
73.0ms
(/ 1 (+ (* 0.5 x) (/ 1.0 y)))

simplify1.9s

Counts
50 → 50
Iterations

Useful iterations: 3 (596.0ms)

IterNodesCost
099731
1240677
2635613
31755611
done5001611

prune99.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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
01011
11411
done1411

end0.0ms

sample782.0ms

Algorithm
intervals
Results
496.0ms7997×body80valid
0.0ms3×body1280valid