Details

Time bar (total: 4.0s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

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-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
54.0ms
(/ (+ x y) (- x y))

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(/ (+ x y) (- x y))

simplify104.0ms

Counts
48 → 48

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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 frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
29.0ms
(/ 1 (/ (- x y) (+ x y)))
22.0ms
(/ (- x y) (+ x y))

series153.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ 1 (/ (- x y) (+ x y)))
84.0ms
(/ (- x y) (+ x y))

simplify48.0ms

Counts
180 → 180

prune304.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
316×times-frac
286×*-un-lft-identity
204×add-sqr-sqrt
138×add-cube-cbrt
83×exp-prod
41×distribute-lft-out
33×distribute-lft-out-- difference-of-squares
30×associate-/r*
18×associate-/r/
16×add-exp-log
10×add-cbrt-cube div-inv
8×flip3-+ div-exp flip-+ associate-/l*
4×pow1 cbrt-undiv add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub flip-- rem-exp-log inv-pow
Counts
3 → 265
Calls
3 calls:
30.0ms
(/ 1 (/ (- x y) (+ x y)))
26.0ms
(/ (- x y) (+ x y))
54.0ms
(exp (/ 1 (/ (- x y) (+ x y))))

series255.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ 1 (/ (- x y) (+ x y)))
69.0ms
(/ (- x y) (+ x y))
119.0ms
(exp (/ 1 (/ (- x y) (+ x y))))

simplify54.0ms

Counts
274 → 274

prune726.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite327.0ms

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×add-exp-log flip3-+ flip-+
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×div-exp
3×cbrt-undiv frac-2neg clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 185
Calls
4 calls:
159.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
18.0ms
(/ y (+ x y))
18.0ms
(/ x (+ x y))
119.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
41.0ms
(/ y (+ x y))
44.0ms
(/ x (+ x y))
121.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify95.0ms

Counts
197 → 197

prune462.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

42.6% (0.0b remaining)

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

bsearch0.0ms

simplify44.0ms

end0.0ms

sample553.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid