Details

Time bar (total: 12.5s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05122
18122
29122
done9122

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (- x y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- add-log-exp
Counts
1 → 45
Calls
1 calls:
37.0ms
(/ (+ x y) (- x y))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (+ x y) (- x y))

simplify2.8s

Counts
48 → 48
Iterations

Useful iterations: 3 (779.0ms)

IterNodesCost
07612085
117511268
259111148
3344811029
done500111029

prune180.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- x y) (+ x y)))
0.0b
(/ (- x y) (+ x y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
20.0ms
(/ 1 (/ (- x y) (+ x y)))
22.0ms
(/ (- x y) (+ x y))

series171.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(/ 1 (/ (- x y) (+ x y)))
73.0ms
(/ (- x y) (+ x y))

simplify1.9s

Counts
180 → 180
Iterations

Useful iterations: done (1.9s)

IterNodesCost
020564977
154850616
2359049473
done500148209

prune549.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.0b
(/ 1 (- x y))
0.0b
(/ (/ 1 (- x y)) (/ 1 (+ x y)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
631×*-un-lft-identity
491×add-sqr-sqrt
369×add-cube-cbrt
87×associate-/r/
70×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
51×add-exp-log
44×div-inv
36×div-exp
27×associate-/r* associate-/l*
23×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×clear-num frac-2neg add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 527
Calls
3 calls:
22.0ms
(/ 1 (+ x y))
17.0ms
(/ 1 (- x y))
52.0ms
(/ (/ 1 (- x y)) (/ 1 (+ x y)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ 1 (+ x y))
46.0ms
(/ 1 (- x y))
73.0ms
(/ (/ 1 (- x y)) (/ 1 (+ x y)))

simplify2.0s

Counts
536 → 536
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0605290566
12081203113
done5000186962

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
190×*-un-lft-identity
155×times-frac
114×add-sqr-sqrt
54×add-cube-cbrt
35×distribute-lft-out--
28×associate-/r/ distribute-lft-out
25×associate-/r*
20×difference-of-squares
15×distribute-rgt-out--
13×div-inv
12×flip3-+ add-exp-log flip-+
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×div-exp
3×cbrt-undiv clear-num frac-2neg
2×flip3-- frac-sub flip-- sub-div
1×rec-exp sub-neg diff-log 1-exp pow-flip inv-pow
Counts
4 → 185
Calls
4 calls:
12.0ms
(/ y (+ x y))
9.0ms
(/ x (+ x y))
107.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
80.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ y (+ x y))
45.0ms
(/ x (+ x y))
86.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
89.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.5s

Counts
197 → 197
Iterations

Useful iterations: 2 (456.0ms)

IterNodesCost
022858386
147347307
2220647147
done500147147

prune708.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08203
111203
done11203

end0.0ms

sample497.0ms

Algorithm
intervals
Results
289.0ms8000×body80valid