Details

Time bar (total: 10.6s)

sample25.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite116.0ms

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-cbrt-cube add-exp-log difference-of-squares
6×associate-/r/ associate-/l*
5×add-log-exp
3×expm1-log1p-u pow1 log1p-expm1-u div-inv
2×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ flip--
1×+-commutative sum-log frac-add
Counts
3 → 114
Calls
3 calls:
14.0ms
(/ x (+ x 1.0))
87.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
9.0ms
(/ 1.0 (- x 1.0))

series217.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (+ x 1.0))
144.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
32.0ms
(/ 1.0 (- x 1.0))

simplify2.6s

Counts
123 → 123
Iterations
IterNodes
done5000
34652
21402
1431
0175

prune423.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

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))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
142×times-frac
139×*-un-lft-identity
95×add-sqr-sqrt
81×add-cube-cbrt
24×associate-/r*
21×fma-def
20×distribute-lft-out
19×add-exp-log
13×add-cbrt-cube
10×associate-/l*
9×div-exp div-inv
8×distribute-lft-out--
7×difference-of-squares
6×add-log-exp
5×pow1 cbrt-undiv associate-/r/
4×expm1-log1p-u log1p-expm1-u
3×clear-num frac-2neg
2×rec-exp flip3-+ flip3-- 1-exp flip-+ flip-- associate-/l/
1×+-commutative sum-log frac-add pow-flip inv-pow
Counts
4 → 203
Calls
4 calls:
15.0ms
(/ (+ x 1.0) x)
113.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
9.0ms
(/ 1.0 (- x 1.0))
15.0ms
(/ 1 (/ (+ x 1.0) x))

series312.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ (+ x 1.0) x)
162.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
40.0ms
(/ 1.0 (- x 1.0))
38.0ms
(/ 1 (/ (+ x 1.0) x))

simplify2.0s

Counts
215 → 215
Iterations
IterNodes
done5003
22440
1714
0276

prune794.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity times-frac
78×add-sqr-sqrt
72×add-cube-cbrt
31×add-exp-log
25×add-cbrt-cube
19×associate-*l*
18×prod-diff
17×associate-/r* associate-/r/
14×frac-times distribute-lft-out
12×distribute-rgt-in distribute-lft-in
11×flip3-+ div-exp flip-+
9×pow1 flip3-- associate-*r* flip--
8×associate-*r/
7×cbrt-undiv associate-*l/ div-inv
6×prod-exp cbrt-unprod associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp clear-num sub-neg frac-2neg 1-exp pow-prod-down *-commutative unswap-sqr
1×pow-flip distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 218
Calls
4 calls:
28.0ms
(* (+ x 1.0) (- x 1.0))
13.0ms
(/ 1 (/ (+ x 1.0) x))
13.0ms
(/ 1.0 (* (+ x 1.0) (- x 1.0)))
54.0ms
(* (/ 1.0 (* (+ x 1.0) (- x 1.0))) (+ x 1.0))

series225.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (+ x 1.0) (- x 1.0))
37.0ms
(/ 1 (/ (+ x 1.0) x))
70.0ms
(/ 1.0 (* (+ x 1.0) (- x 1.0)))
31.0ms
(* (/ 1.0 (* (+ x 1.0) (- x 1.0))) (+ x 1.0))

simplify2.3s

Counts
230 → 230
Iterations
IterNodes
done5000
24523
11150
0355

prune736.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done17
117
011

end0.0ms

sample491.0ms

Algorithm
intervals
Results
367.0ms8000×body80valid