Details

Time bar (total: 14.2s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify18.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
9.3b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite53.0ms

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:
26.0ms
(/ (* x y) 2.0)
26.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* x y) 2.0)
87.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify2.4s

Counts
60 → 60
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0128770
1294730
2896668
33649666
done5000666

prune122.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ x (/ 2.0 y))
9.3b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite60.0ms

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:
9.0ms
(/ x (/ 2.0 y))
47.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series94.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ x (/ 2.0 y))
70.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify3.0s

Counts
109 → 109
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02251464
14901362
215281292
348021288
done50001288

prune394.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ x (/ 2.0 y))
0.3b
(/ 1 (+ 1.0 (/ x (/ 2.0 y))))
8.9b
(* y (/ 1 (+ 1.0 (/ x (/ 2.0 y)))))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
101×times-frac
78×*-un-lft-identity
70×add-sqr-sqrt
63×add-cube-cbrt
21×add-exp-log
18×associate-*r*
17×associate-/r*
15×add-cbrt-cube
7×div-exp div-inv distribute-lft-out
6×pow1 associate-/l*
5×cbrt-undiv associate-/r/
4×prod-exp
3×associate-*l* add-log-exp unswap-sqr
2×rec-exp frac-2neg flip3-+ 1-exp clear-num cbrt-unprod flip-+
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 148
Calls
3 calls:
17.0ms
(/ x (/ 2.0 y))
51.0ms
(/ 1 (+ 1.0 (/ x (/ 2.0 y))))
122.0ms
(* y (/ 1 (+ 1.0 (/ x (/ 2.0 y)))))

series225.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ x (/ 2.0 y))
86.0ms
(/ 1 (+ 1.0 (/ x (/ 2.0 y))))
118.0ms
(* y (/ 1 (+ 1.0 (/ x (/ 2.0 y)))))

simplify1.7s

Counts
157 → 157
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02762159
16271900
217671748
done50001744

prune423.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
9.2b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite129.0ms

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:
22.0ms
(/ (* x y) 2.0)
42.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
53.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series207.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (* x y) 2.0)
110.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
60.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify3.5s

Counts
151 → 151
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
02282600
15162294
213042047
344342021
done50002021

prune377.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b 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
01113
11513
done1513

end0.0ms

sample1.1s

Algorithm
intervals
Results
807.0ms7998×body80valid
0.0ms2×body1280valid