Details

Time bar (total: 3.9s)

sample37.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21211
done1211

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
92.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
23.0ms
(/ 1.0 (- x 1.0))
23.0ms
(/ x (+ x 1.0))

series232.0ms

Counts
3 → 9
Calls
3 calls:
156.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
34.0ms
(/ 1.0 (- x 1.0))
42.0ms
(/ x (+ x 1.0))

simplify1.1s

Counts
96 → 96
Iterations

Useful iterations: 2 (419.0ms)

IterNodesCost
01691135
14101064
21635998
done5001998

prune226.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

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))))

rewrite118.0ms

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×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 → 126
Calls
4 calls:
28.0ms
(exp (/ x (+ x 1.0)))
21.0ms
(/ 1.0 (- x 1.0))
22.0ms
(/ x (+ x 1.0))
42.0ms
(log (exp (/ x (+ x 1.0))))

series168.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(exp (/ x (+ x 1.0)))
31.0ms
(/ 1.0 (- x 1.0))
38.0ms
(/ x (+ x 1.0))
35.0ms
(log (exp (/ x (+ x 1.0))))

simplify817.0ms

Counts
138 → 138
Iterations

Useful iterations: done (813.0ms)

IterNodesCost
01951399
13901262
214071177
done50011169

prune464.0ms

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

sample617.0ms

Algorithm
intervals
Results
437.0ms8000×body80valid