Details

Time bar (total: 13.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

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))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/l* distribute-lft-out-- difference-of-squares
associate-/r*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
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:
33.0ms
(/ (- x y) (+ x y))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (- x y) (+ x y))

simplify2.8s

Counts
49 → 49
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
078600
1188573
2463545
31100545
42967538
done5000538

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
associate-/r* associate-/r/
add-exp-log add-cbrt-cube distribute-lft-out--
associate-/l*
add-log-exp
flip3-+ flip-+ div-inv difference-of-squares
pow1 distribute-rgt-out--
cbrt-undiv frac-2neg div-exp clear-num
sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
11.0ms
(/ y (+ x y))
11.0ms
(/ x (+ x y))
87.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series223.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(/ y (+ x y))
61.0ms
(/ x (+ x y))
102.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.1s

Counts
103 → 103
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
01301135
12611070
25621028
311991028
434571024
done50011024

prune221.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
3.7b
(log (exp (/ y (+ x y))))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
37×add-sqr-sqrt times-frac
32×add-cube-cbrt
20×log-pow
18×exp-prod
11×distribute-lft-out
add-exp-log associate-/r* add-cbrt-cube
pow1 log-prod associate-/r/ associate-/l*
add-log-exp
flip3-+ flip-+ div-inv associate--r+
cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 115
Calls
4 calls:
11.0ms
(/ y (+ x y))
11.0ms
(/ x (+ x y))
161.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
33.0ms
(log (exp (/ y (+ x y))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ y (+ x y))
54.0ms
(/ x (+ x y))
82.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
44.0ms
(log (exp (/ y (+ x y))))

simplify2.6s

Counts
127 → 127
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
01661353
12891154
26081102
313931102
438471098
done50011098

prune260.0ms

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 y))
0.0b
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
0.0b
(/ (+ x y) x)
0.4b
(/ 1 (/ (+ x y) x))

rewrite180.0ms

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
div-exp
div-inv
add-log-exp
pow1 cbrt-undiv
distribute-lft-out--
frac-2neg clear-num associate-/r/
rec-exp flip3-+ 1-exp flip-+ associate-/l/
sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
4 → 181
Calls
4 calls:
11.0ms
(/ y (+ x y))
120.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
23.0ms
(/ (+ x y) x)
17.0ms
(/ 1 (/ (+ x y) x))

series263.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ y (+ x y))
120.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
40.0ms
(/ (+ x y) x)
56.0ms
(/ 1 (/ (+ x y) x))

simplify3.3s

Counts
193 → 193
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02422626
15202275
211502028
329822000
done50001999

prune267.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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
0813
1913
done913

end0.0ms

sample610.0ms

Algorithm
intervals
Results
339.0ms8000×body80valid