Details

Time bar (total: 4.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21211
done1211

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ x (+ x 1.0))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
50×times-frac
45×add-sqr-sqrt
31×add-cube-cbrt
21×fma-def
11×distribute-lft-out
9×associate-/r* distribute-lft-out--
7×add-exp-log add-cbrt-cube difference-of-squares
6×associate-/r/ associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u div-inv
2×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+
1×+-commutative frac-add sum-log
Counts
3 → 114
Calls
3 calls:
96.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
17.0ms
(/ 1.0 (- x 1.0))
19.0ms
(/ x (+ x 1.0))

series246.0ms

Counts
3 → 9
Calls
3 calls:
161.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
42.0ms
(/ 1.0 (- x 1.0))
43.0ms
(/ x (+ x 1.0))

simplify1.4s

Counts
123 → 123
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01751183
14311098
217541043
done50001039

prune339.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ x (+ x 1.0)))
0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ x (+ x 1.0))
3.6b
(log (exp (/ x (+ x 1.0))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
51×times-frac
48×add-sqr-sqrt
40×add-cube-cbrt
36×exp-prod
19×log-pow
10×distribute-lft-out
9×associate-/r*
8×add-exp-log associate-/r/ add-cbrt-cube
6×associate-/l*
5×pow1 add-log-exp
4×expm1-log1p-u log1p-expm1-u div-inv distribute-lft-out-- difference-of-squares
3×log-prod flip3-+ flip-+
2×cbrt-undiv frac-2neg div-exp clear-num
1×flip3-- rem-log-exp flip-- rem-exp-log
Counts
4 → 134
Calls
4 calls:
35.0ms
(exp (/ x (+ x 1.0)))
17.0ms
(/ 1.0 (- x 1.0))
11.0ms
(/ x (+ x 1.0))
22.0ms
(log (exp (/ x (+ x 1.0))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(exp (/ x (+ x 1.0)))
34.0ms
(/ 1.0 (- x 1.0))
50.0ms
(/ x (+ x 1.0))
63.0ms
(log (exp (/ x (+ x 1.0))))

simplify1.0s

Counts
146 → 146
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02031453
14051303
214891222
done50001216

prune487.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11113
done1113

end0.0ms

sample562.0ms

Algorithm
intervals
Results
394.0ms8000×body80valid