Details

Time bar (total: 7.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 48
Calls
1 calls:
25.0ms
(/ (- x y) (+ x y))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (- x y) (+ x y))

simplify496.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
080616
1198588
2763560
done5000560

prune128.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r*
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
21.0ms
(/ x (+ x y))
163.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
12.0ms
(/ y (+ x y))

series254.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ x (+ x y))
120.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
66.0ms
(/ y (+ x y))

simplify1.7s

Counts
451 → 451
Iterations

Useful iterations: 2 (509.0ms)

IterNodesCost
042220371
197517929
2335413801
done500013801

prune958.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (/ y (+ x y))))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (expm1 (log1p (/ y (+ x y)))))
0.0b
(/ y (+ x y))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
114×*-un-lft-identity
77×add-sqr-sqrt
73×times-frac
72×add-cube-cbrt
54×prod-diff
20×distribute-lft-out
18×fma-neg
12×associate-/r/
8×add-exp-log associate-/r* add-cbrt-cube
6×flip3-+ flip-+ div-inv associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num expm1-udef difference-of-squares
1×sub-neg expm1-log1p flip3-- diff-log flip-- distribute-lft-out-- associate--r-
Counts
4 → 171
Calls
4 calls:
0.0ms
(expm1 (log1p (/ y (+ x y))))
15.0ms
(/ x (+ x y))
69.0ms
(- (/ x (+ x y)) (expm1 (log1p (/ y (+ x y)))))
11.0ms
(/ y (+ x y))

series347.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(expm1 (log1p (/ y (+ x y))))
50.0ms
(/ x (+ x y))
142.0ms
(- (/ x (+ x y)) (expm1 (log1p (/ y (+ x y)))))
52.0ms
(/ y (+ x y))

simplify1.3s

Counts
183 → 183
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01964994
14192977
215212465
done50002020

prune539.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
1913
done913

end0.0ms

sample945.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid