Details

Time bar (total: 10.7s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify17.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
6.4b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite26.0ms

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:
9.0ms
(/ (* x y) 2.0)
15.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* x y) 2.0)
69.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.8s

Counts
60 → 60
Iterations

Useful iterations: 3 (761.0ms)

IterNodesCost
0128770
1294730
2896668
33649666
done5000666

prune309.0ms

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))
6.4b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite59.0ms

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))
43.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series85.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ x (/ 2.0 y))
64.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify2.2s

Counts
109 → 109
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
02251464
14901362
215281292
348021288
done50001288

prune240.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.4b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite70.0ms

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:
9.0ms
(/ (* x y) 2.0)
21.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
33.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series137.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* x y) 2.0)
60.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
54.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify2.2s

Counts
151 → 151
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
02282600
15162294
213042047
344342021
done50002021

prune202.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
6.7b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.7b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.7b
(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
27×cbrt-prod associate-*r*
23×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1 distribute-lft-out
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 125
Calls
4 calls:
184.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
6.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

series866.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
275.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
263.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
260.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify1.3s

Counts
137 → 137
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02434271
16783936
222533157
done50002959

prune367.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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
0911
11011
done1011

end0.0ms

sample366.0ms

Algorithm
intervals
Results
198.0ms7999×body80valid
0.0ms1×body1280valid