Details

Time bar (total: 8.3s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite99.0ms

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-cbrt-cube add-exp-log
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv
1×+-commutative sum-log flip3-- frac-add flip--
Counts
3 → 87
Calls
3 calls:
14.0ms
(/ x (+ x 1.0))
71.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
9.0ms
(/ 1.0 (- x 1.0))

series269.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ x (+ x 1.0))
183.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
37.0ms
(/ 1.0 (- x 1.0))

simplify959.0ms

Counts
96 → 96
Iterations
IterNodes
done5001
21643
1411
0169

prune358.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x 1.0) x)
0.0b
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
0.0b
(/ 1.0 (- x 1.0))
0.1b
(/ 1 (/ (+ x 1.0) x))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
124×*-un-lft-identity
80×add-sqr-sqrt
72×add-cube-cbrt
24×associate-/r*
20×distribute-lft-out
19×add-exp-log
13×add-cbrt-cube
10×associate-/l*
9×div-exp
8×div-inv
6×add-log-exp
5×pow1 cbrt-undiv distribute-lft-out--
4×difference-of-squares
3×clear-num frac-2neg associate-/r/
2×rec-exp flip3-+ 1-exp flip-+ associate-/l/
1×+-commutative sum-log flip3-- frac-add pow-flip flip-- inv-pow
Counts
4 → 174
Calls
4 calls:
26.0ms
(/ (+ x 1.0) x)
124.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
12.0ms
(/ 1.0 (- x 1.0))
14.0ms
(/ 1 (/ (+ x 1.0) x))

series277.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ (+ x 1.0) x)
143.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
36.0ms
(/ 1.0 (- x 1.0))
42.0ms
(/ 1 (/ (+ x 1.0) x))

simplify2.0s

Counts
186 → 186
Iterations
IterNodes
done5001
23675
1694
0268

prune628.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ 1 (/ (+ x 1.0) x)))
0.1b
(/ 1 (/ (+ x 1.0) x))
0.6b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.5b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
121×times-frac
97×*-un-lft-identity
76×add-sqr-sqrt
71×add-cube-cbrt
22×add-exp-log
20×associate-/r*
18×associate-*l*
16×add-cbrt-cube
13×distribute-lft-out
9×div-exp
7×pow1 div-inv difference-of-squares
6×associate-/l* add-log-exp
5×cbrt-undiv flip3-+ frac-add associate-/r/ flip-+
4×frac-times associate-*r* associate-*r/
2×distribute-rgt-in rec-exp associate-+l+ clear-num frac-2neg distribute-lft-in flip3-- 1-exp associate-*l/ prod-exp cbrt-unprod flip-- unswap-sqr
1×+-commutative sum-log pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 183
Calls
4 calls:
47.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ 1 (/ (+ x 1.0) x)))
20.0ms
(/ 1 (/ (+ x 1.0) x))
17.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
43.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series393.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ 1 (/ (+ x 1.0) x)))
46.0ms
(/ 1 (/ (+ x 1.0) x))
58.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
56.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify1.3s

Counts
195 → 195
Iterations
IterNodes
done5000
11100
0337

prune977.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify8.0ms

Iterations
IterNodes
done17
117
012

end0.0ms

sample600.0ms

Algorithm
intervals
Results
461.0ms8000×body80valid