Details

Time bar (total: 1.2s)

sample64.0ms

Algorithm
intervals
Results
10.0ms30×body2560valid
10.0ms174×body80valid
8.0ms28×body1280valid
5.0ms23×body640valid
5.0ms97×body80nan
3.0msbody5120valid
2.0msbody320valid
1.0msbody160valid

simplify185.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014365
129365
262365
3113365
4132365
5135365
6138365
7140365
done140365

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
0.6b
(- (* b b) (* 4.0 (* a c)))
2.1b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
23.2b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt prod-diff
60×*-un-lft-identity
48×add-cube-cbrt
36×sqrt-prod
24×distribute-rgt-neg-in
21×distribute-lft-neg-in
11×fma-neg
10×add-log-exp
add-cbrt-cube add-exp-log
neg-mul-1 times-frac associate-/l*
distribute-lft-out-- difference-of-squares
pow1
expm1-log1p-u flip3-- log1p-expm1-u flip--
diff-log
cbrt-undiv sub-neg sqrt-div div-exp associate-/l/
associate--l- neg-sub0 rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub neg-log prod-exp cbrt-unprod div-inv
Counts
4 → 157
Calls
4 calls:
83.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
7.0ms
(- (* b b) (* 4.0 (* a c)))
34.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series469.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
86.0ms
(- (* b b) (* 4.0 (* a c)))
129.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
115.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify306.0ms

Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
024193831