Details

Time bar (total: 15.8s)

sample36.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
47.0ms
(/ (+ x y) (- x y))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(/ (+ x y) (- x y))

simplify3.6s

Counts
50 → 50
Iterations

Useful iterations: 3 (374.0ms)

IterNodesCost
078606
1175582
2454554
31120547
43134547
done5002547

prune138.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
38.0ms
(/ 1 (/ (- x y) (+ x y)))
42.0ms
(/ (- x y) (+ x y))

series164.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ 1 (/ (- x y) (+ x y)))
91.0ms
(/ (- x y) (+ x y))

simplify2.4s

Counts
184 → 184
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
02092998
14792553
211042296
330832256
done50002256

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
708×*-un-lft-identity
599×times-frac
410×add-sqr-sqrt
350×add-cube-cbrt
324×prod-diff
139×distribute-lft-out
102×associate-/r/
50×div-inv
49×flip3-+ flip-+
35×distribute-lft-out--
25×associate-/r*
20×difference-of-squares
18×fma-neg
15×distribute-rgt-out--
12×add-exp-log
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×expm1-log1p-u div-exp log1p-expm1-u
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 → 535
Calls
4 calls:
12.0ms
(/ x (+ x y))
153.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
11.0ms
(/ y (+ x y))
131.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series333.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ x (+ x y))
130.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
51.0ms
(/ y (+ x y))
102.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.1s

Counts
547 → 547
Iterations

Useful iterations: done (2.1s)

IterNodesCost
051922336
1107819561
2229215129
done500011216

prune995.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

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))

rewrite772.0ms

Algorithm
rewrite-expression-head
Rules
2424×times-frac
2014×*-un-lft-identity
1419×add-sqr-sqrt
1254×add-cube-cbrt
954×prod-diff
345×distribute-lft-out
138×div-inv
132×associate-/r/
55×flip3-+ flip-+
50×difference-of-squares
37×associate-/r*
21×add-exp-log
20×distribute-lft-out--
18×fma-neg
13×add-cbrt-cube
10×div-exp
9×associate-/l*
6×pow1 add-log-exp
5×cbrt-undiv
4×expm1-log1p-u log1p-expm1-u
3×rec-exp frac-2neg 1-exp clear-num
2×flip3-- pow-flip frac-sub flip-- inv-pow
1×sub-neg diff-log
Counts
4 → 1218
Calls
4 calls:
23.0ms
(/ x (+ x y))
275.0ms
(/ 1 (- (/ x (+ x y)) (/ 1 (/ (+ x y) y))))
233.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
22.0ms
(/ 1 (/ (+ x y) y))

series400.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ x (+ x y))
144.0ms
(/ 1 (- (/ x (+ x y)) (/ 1 (/ (+ x y) y))))
124.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
84.0ms
(/ 1 (/ (+ x y) y))

simplify2.5s

Counts
1230 → 1230
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0114276455
1247958710
2399644648
done500044540

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes1.0ms