Details

Time bar (total: 14.4s)

sample93.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
20.0ms264×body80nan

simplify62.0ms

Counts
1 → 1
Iterations
IterNodes
423
323
221
118
09

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
55×add-sqr-sqrt
49×times-frac
30×sqrt-prod
25×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
6×associate-/l*
4×associate-/r* add-cbrt-cube add-exp-log associate-/r/
3×pow1
2×expm1-log1p-u rem-sqrt-square flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
2 → 99
Calls
2 calls:
22.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
38.0ms
(/ (- 1 x) (+ 1 x))

series97.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
38.0ms
(/ (- 1 x) (+ 1 x))

simplify7.9s

Counts
105 → 105
Iterations
IterNodes
45911
31810
2722
1327
0159

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize63.0ms

Local error

Found 3 expressions with local error:

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

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
47×*-un-lft-identity
37×times-frac
25×add-cube-cbrt
22×associate-*l*
14×difference-of-squares
10×add-cbrt-cube add-exp-log
8×pow1
7×distribute-lft-out--
6×associate-/l*
5×sqrt-div
4×frac-times flip3-+ associate-*r* associate-*r/ flip-+
3×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in flip3-- pow1/2 div-sub *-commutative sqrt-prod flip-- distribute-lft-out
Counts
3 → 115
Calls
3 calls:
42.0ms
(sqrt (* (/ (- 1 x) (fma x (* x x) 1)) (+ (* 1 1) (- (* x x) (* 1 x)))))
25.0ms
(/ (- 1 x) (fma x (* x x) 1))
104.0ms
(* (/ (- 1 x) (fma x (* x x) 1)) (+ (* 1 1) (- (* x x) (* 1 x))))

series271.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(sqrt (* (/ (- 1 x) (fma x (* x x) 1)) (+ (* 1 1) (- (* x x) (* 1 x)))))
75.0ms
(/ (- 1 x) (fma x (* x x) 1))
83.0ms
(* (/ (- 1 x) (fma x (* x x) 1)) (+ (* 1 1) (- (* x x) (* 1 x))))

simplify617.0ms

Counts
124 → 124
Iterations
IterNodes
22206
1643
0203

prune1.5s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
220
120
015

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s8000×body80valid
1.0s8108×body80nan