Details

Time bar (total: 2.4s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
193
293
done93

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:
23.0ms
(/ (+ x y) (- x y))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (+ x y) (- x y))

simplify48.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0169288
1510274
21435270
35001270
done5001270

prune77.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 associate-/l* add-log-exp
3×log-prod flip3-- flip-- div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls
3 calls:
34.0ms
(log (exp (/ (+ x y) (- x y))))
35.0ms
(exp (/ (+ x y) (- x y)))
24.0ms
(/ (+ x y) (- x y))

series202.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(log (exp (/ (+ x y) (- x y))))
75.0ms
(exp (/ (+ x y) (- x y)))
62.0ms
(/ (+ x y) (- x y))

simplify51.0ms

Counts
126 → 126
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0236660
1608623
21641614
35002611
done5002611

prune222.0ms

Pruning

4 alts after pruning (4 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))

rewrite56.0ms

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:
24.0ms
(/ 1 (/ (- x y) (+ x y)))
23.0ms
(/ (- x y) (+ x y))

series139.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ 1 (/ (- x y) (+ x y)))
70.0ms
(/ (- x y) (+ x y))

simplify57.0ms

Counts
180 → 180
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04861464
121981313
250011169
done50011169

prune186.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

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)))

rewrite200.0ms

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:
98.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
10.0ms
(/ y (+ x y))
11.0ms
(/ x (+ x y))
71.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
45.0ms
(/ y (+ x y))
41.0ms
(/ x (+ x y))
78.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify47.0ms

Counts
197 → 197
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04311483
116281397
250011296
done50011296

prune265.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes54.0ms

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
0116
1116
done116

end0.0ms

sample305.0ms

Algorithm
intervals
Results
142.0ms8000×body80valid