Details

Time bar (total: 27.5s)

sample40.0ms

Algorithm
intervals
Results
31.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
313
213
112
07

prune4.0ms

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
63×add-sqr-sqrt
62×times-frac
35×add-cube-cbrt
27×fma-def
14×difference-of-squares
12×distribute-lft-out
11×associate-/r*
9×add-exp-log distribute-lft-out--
7×add-cbrt-cube difference-of-sqr-1
6×associate-/r/ associate-/l*
5×add-log-exp
4×pow1 div-inv
3×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×+-commutative rec-exp sum-log 1-exp frac-add pow-flip inv-pow
Counts
3 → 136
Calls
3 calls:
8.0ms
(/ x (+ x 1))
64.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
12.0ms
(/ 1 (- x 1))

series143.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ x (+ x 1))
99.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
16.0ms
(/ 1 (- x 1))

simplify19.2s

Counts
145 → 145
Iterations
IterNodes
33535
21105
1382
0176

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize50.0ms

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))

rewrite284.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 237
Calls
4 calls:
229.0ms
(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
15.0ms
(/ 1 (- x 1))
17.0ms
(/ 1 (- x 1))
17.0ms
(/ 1 (- x 1))

series195.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
25.0ms
(/ 1 (- x 1))
25.0ms
(/ 1 (- x 1))
23.0ms
(/ 1 (- x 1))

simplify3.3s

Counts
249 → 249
Iterations
IterNodes
22203
1502
0171

prune2.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
213
113
010

end0.0ms

sample840.0ms

Algorithm
intervals
Results
728.0ms8000×body80valid