Details

Time bar (total: 585.0ms)

sample149.0ms

Algorithm
intervals
Results
36.0ms310×body80nan
31.0ms142×body160valid
27.0ms566×pre80true
13.0ms114×body80valid

simplify182.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
01417
12417
24416
37816
49116
59916
done9916

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.3b
(- (* b b) (* (* 4.0 a) c))
28.8b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite197.0ms

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:
11.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
131.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
9.0ms
(- (* b b) (* (* 4.0 a) c))
44.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series1.0ms