Details

Time bar (total: 13.1s)

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (+ 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:
25.0ms
(/ (+ x y) (- x y))

series100.0ms

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

simplify2.2s

Counts
48 → 48
Iterations

Useful iterations: 3 (256.0ms)

IterNodesCost
076590
1170567
2438539
31031532
42681532
done5002532

prune119.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- x y) (+ y x)))
0.1b
(/ (- x y) (+ y x))

rewrite96.0ms

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:
40.0ms
(/ 1 (/ (- x y) (+ y x)))
40.0ms
(/ (- x y) (+ y x))

series162.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ 1 (/ (- x y) (+ y x)))
72.0ms
(/ (- x y) (+ y x))

simplify2.5s

Counts
180 → 180
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
02112962
14772521
210992268
330192228
done50022228

prune261.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite350.0ms

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:
24.0ms
(/ x (+ x y))
173.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
20.0ms
(/ y (+ x y))
112.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ x (+ x y))
116.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
44.0ms
(/ y (+ x y))
128.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.2s

Counts
197 → 197
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02283072
14282732
28962638
322692449
done50002402

prune470.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ 1 (- (/ x (+ x y)) (/ 1 (/ (+ x y) y))))
0.0b
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
0.2b
(/ 1 (/ (+ x y) y))

rewrite474.0ms

Algorithm
rewrite-expression-head
Rules
264×times-frac
249×add-sqr-sqrt
196×*-un-lft-identity
84×add-cube-cbrt
50×difference-of-squares
37×associate-/r*
21×add-exp-log distribute-lft-out
20×distribute-lft-out--
13×add-cbrt-cube
12×div-inv
10×div-exp
9×associate-/l*
6×pow1 associate-/r/ add-log-exp
5×cbrt-undiv
3×rec-exp frac-2neg 1-exp clear-num
2×flip3-- pow-flip frac-sub flip-- inv-pow
1×sub-neg flip3-+ diff-log flip-+
Counts
4 → 238
Calls
4 calls:
12.0ms
(/ x (+ x y))
219.0ms
(/ 1 (- (/ x (+ x y)) (/ 1 (/ (+ x y) y))))
173.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
37.0ms
(/ 1 (/ (+ x y) y))

series348.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ x (+ x y))
121.0ms
(/ 1 (- (/ x (+ x y)) (/ 1 (/ (+ x y) y))))
106.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
73.0ms
(/ 1 (/ (+ x y) y))

simplify2.9s

Counts
250 → 250
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
03184695
16264130
212533653
331703625
done50003625

prune471.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes1.0ms