Details

Time bar (total: 433.0ms)

sample80.0ms

Algorithm
intervals
Results
15.0ms179×body80valid
14.0ms32×body2560valid
12.0ms32×body1280valid
7.0ms96×body80nan
5.0ms14×body640valid
2.0ms10×body320valid
2.0msbody5120valid
1.0msbody160valid

simplify105.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
01417
12517
24616
38616
410816
511616
done11616

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
0.4b
(- (* b b) (* 4.0 (* a c)))
1.3b
(+ (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
23.6b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-sqr-sqrt
10×add-cube-cbrt fma-def add-log-exp
add-exp-log add-cbrt-cube
distribute-rgt-neg-in distribute-lft-out
pow1 times-frac associate-/l*
expm1-log1p-u log1p-expm1-u
distribute-lft-neg-in sqrt-prod
cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
+-commutative neg-mul-1 sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 90
Calls
4 calls:
133.0ms
(/ (+ (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
26.0ms
(- (* b b) (* 4.0 (* a c)))
46.0ms
(+ (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
12.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series0.0ms