Details

Time bar (total: 436.0ms)

sample66.0ms

Algorithm
intervals
Results
14.0ms192×body80valid
12.0ms32×body2560valid
8.0ms22×body1280valid
5.0ms76×body80nan
4.0ms17×body640valid
2.0msbody5120valid
2.0msbody320valid
1.0msbody160valid

simplify162.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01417
12417
24416
37816
49116
59916
done9916

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (+ (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
0.6b
(- (* b b) (* 4.0 (* a c)))
1.3b
(+ (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
27.2b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt
distribute-lft-out
pow1 times-frac associate-/l*
distribute-rgt-neg-in sqrt-prod
cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
94.0ms
(/ (+ (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
18.0ms
(- (* b b) (* 4.0 (* a c)))
36.0ms
(+ (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
10.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series1.0ms