Details

Time bar (total: 23.2s)

sample39.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
313
213
112
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

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))
49.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
8.0ms
(/ 1 (- x 1))

series131.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ x (+ x 1))
88.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
16.0ms
(/ 1 (- x 1))

simplify16.7s

Counts
112 → 112
Iterations
IterNodes
33237
21024
1367
0170

prune805.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

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

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
308×*-un-lft-identity
143×times-frac
94×add-sqr-sqrt
76×distribute-lft-out
44×add-cube-cbrt
32×distribute-lft-out--
27×swap-sqr
24×difference-of-squares
21×associate-/r*
18×add-exp-log
14×pow1
12×add-cbrt-cube difference-of-sqr-1
11×div-inv
9×frac-times associate-*r* associate-*l* associate-/l*
8×flip3-+ frac-add flip-+
6×div-exp associate-/r/
4×insert-posit16 add-log-exp
3×cbrt-undiv rec-exp clear-num frac-2neg flip3-- 1-exp associate-*l/ associate-*r/ pow-flip flip-- inv-pow
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 → 229
Calls
4 calls:
260.0ms
(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
9.0ms
(/ 1 (- x 1))
9.0ms
(/ 1 (- x 1))
8.0ms
(/ 1 (- x 1))

series142.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
15.0ms
(/ 1 (- x 1))
16.0ms
(/ 1 (- x 1))
16.0ms
(/ 1 (- x 1))

simplify1.9s

Counts
241 → 241
Iterations
IterNodes
22059
1488
0167

prune2.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
213
113
010

end0.0ms

sample872.0ms

Algorithm
intervals
Results
755.0ms8000×body80valid