Details

Time bar (total: 6.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify17.0ms

Counts
1 → 1

prune1.0ms

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))

rewrite23.0ms

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:
21.0ms
(/ (- x y) (+ x y))

series73.0ms

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

simplify683.0ms

Counts
49 → 49

prune117.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

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)))

rewrite150.0ms

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:
18.0ms
(/ y (+ x y))
16.0ms
(/ x (+ x y))
111.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ y (+ x y))
49.0ms
(/ x (+ x y))
96.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify830.0ms

Counts
103 → 103

prune188.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
2.9b
(log (exp (/ x (+ x y))))

rewrite389.0ms

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-+ associate--l+ flip-+ div-inv
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:
17.0ms
(/ y (+ x y))
11.0ms
(/ x (+ x y))
313.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
41.0ms
(log (exp (/ x (+ x y))))

series261.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ y (+ x y))
43.0ms
(/ x (+ x y))
97.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
72.0ms
(log (exp (/ x (+ x y))))

simplify750.0ms

Counts
127 → 127

prune322.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite537.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity
60×times-frac
58×add-sqr-sqrt
34×exp-prod
22×add-cube-cbrt
21×distribute-lft-out--
18×log-pow
16×distribute-lft-out
14×associate-/r/
12×difference-of-squares
distribute-rgt-out-- add-log-exp
flip3-+ flip-+ div-inv
add-exp-log add-cbrt-cube
pow1 log-prod
exp-sum associate-/r*
sub-neg associate-/l*
exp-diff diff-log rem-exp-log
cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp clear-num frac-sub flip-- sub-div
Counts
4 → 122
Calls
4 calls:
11.0ms
(/ x (+ x y))
101.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
213.0ms
(log (exp (- (/ x (+ x y)) (/ y (+ x y)))))
206.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ x (+ x y))
97.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
129.0ms
(log (exp (- (/ x (+ x y)) (/ y (+ x y)))))
117.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))

simplify844.0ms

Counts
134 → 134

prune291.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

29.4% (0.0b remaining)

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

bsearch0.0ms

simplify23.0ms

end0.0ms

sample523.0ms

Algorithm
intervals
Results
217.0ms8000×body80valid