Details

Time bar (total: 13.7s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
11.0ms
(/ (- x y) (+ x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (- x y) (+ x y))

simplify3.3s

Counts
49 → 49
Iterations

Useful iterations: 4 (797.0ms)

IterNodesCost
078600
1187573
2484545
31466545
44617538
done5000538

prune81.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
6.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
49.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ x (+ x y))
38.0ms
(/ y (+ x y))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify978.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
01301135
12741070
27561028
321171028
done50001028

prune174.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) x)
0.0b
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
0.0b
(/ y (+ x y))
0.6b
(/ 1 (/ (+ x y) x))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
127×*-un-lft-identity
104×add-sqr-sqrt
71×add-cube-cbrt
23×associate-/r*
21×distribute-lft-out
19×add-exp-log
13×add-cbrt-cube
10×associate-/l* difference-of-squares
9×div-exp
8×div-inv
6×add-log-exp
5×pow1 cbrt-undiv
4×distribute-lft-out--
3×frac-2neg clear-num associate-/r/
2×rec-exp flip3-+ 1-exp flip-+ associate-/l/
1×sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
4 → 181
Calls
4 calls:
8.0ms
(/ (+ x y) x)
92.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
5.0ms
(/ y (+ x y))
9.0ms
(/ 1 (/ (+ x y) x))

series173.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (+ x y) x)
72.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
38.0ms
(/ y (+ x y))
42.0ms
(/ 1 (/ (+ x y) x))

simplify4.2s

Counts
193 → 193
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02422626
15512333
218772028
347981998
done50001998

prune257.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ y x) 1)
0.0b
(/ y (+ x y))
0.0b
(- (/ 1 (+ (/ y x) 1)) (/ y (+ x y)))
0.6b
(/ 1 (+ (/ y x) 1))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
39×add-sqr-sqrt times-frac
22×add-cube-cbrt
13×distribute-lft-out
10×add-exp-log
8×associate-/r* add-cbrt-cube add-log-exp
6×associate-/l* distribute-lft-out-- difference-of-squares
5×pow1
4×associate-/r/
3×flip3-+ div-exp flip-+ div-inv
2×cbrt-undiv frac-2neg clear-num
1×+-commutative sub-neg rec-exp flip3-- pow-flip diff-log 1-exp sum-log frac-sub flip-- inv-pow
Counts
4 → 107
Calls
4 calls:
9.0ms
(+ (/ y x) 1)
5.0ms
(/ y (+ x y))
97.0ms
(- (/ 1 (+ (/ y x) 1)) (/ y (+ x y)))
15.0ms
(/ 1 (+ (/ y x) 1))

series154.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (/ y x) 1)
39.0ms
(/ y (+ x y))
68.0ms
(- (/ 1 (+ (/ y x) 1)) (/ y (+ x y)))
35.0ms
(/ 1 (+ (/ y x) 1))

simplify3.2s

Counts
119 → 119
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01541446
13601325
213501255
332611250
done50001250

prune177.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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
0913
11313
done1313

end0.0ms

sample272.0ms

Algorithm
intervals
Results
150.0ms8000×body80valid