Details

Time bar (total: 511.0ms)

sample170.0ms

Algorithm
intervals
Results
60.0ms495×pre80true
31.0ms162×body160valid
22.0ms239×body80nan
14.0ms43×body320valid
5.0ms51×body80valid

simplify138.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01417
12517
24616
38616
410816
511616
done11616

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
41.2b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite180.0ms

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:
12.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
13.0ms
(- (* b b) (* (* 4.0 a) c))
96.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
57.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series1.0ms