Details

Time bar (total: 5.4s)

sample22.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
114
07

prune2.0ms

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
41×times-frac
40×add-sqr-sqrt
24×add-cube-cbrt
12×distribute-lft-out
11×associate-/r*
9×add-exp-log
8×difference-of-squares
7×add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×pow1 difference-of-sqr-1 associate-/r/
3×div-exp insert-posit16 div-inv
2×cbrt-undiv clear-num frac-2neg flip3-+ flip-+
1×+-commutative rec-exp sum-log flip3-- 1-exp frac-add pow-flip flip-- inv-pow
Counts
3 → 103
Calls
3 calls:
8.0ms
(/ x (+ x 1))
9.0ms
(/ 1 (- x 1))
53.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ x (+ x 1))
27.0ms
(/ 1 (- x 1))
101.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.2s

Counts
112 → 112
Iterations
IterNodes
done2090
32090
21276
1386
0170

prune254.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite416.0ms

Algorithm
rewrite-expression-head
Rules
305×*-un-lft-identity
104×times-frac
100×distribute-lft-out
27×swap-sqr
26×distribute-lft-out--
11×pow1 flip3-+ frac-add flip-+ div-inv
10×add-sqr-sqrt add-log-exp
9×frac-times associate-*r* associate-*l*
8×add-cube-cbrt
6×add-cbrt-cube add-exp-log
4×insert-posit16
3×+-commutative sum-log associate-*l/ associate-*r/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 136
Calls
4 calls:
311.0ms
(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
33.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
32.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
35.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series346.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
75.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
89.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
88.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.4s

Counts
148 → 148
Iterations
IterNodes
done2027
32027
21640
1398
0108

prune448.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample973.0ms

Algorithm
intervals
Results
791.0ms8000×body80valid