Details

Time bar (total: 1.2s)

sample83.0ms

Algorithm
intervals
Results
13.0ms195×body80valid
12.0ms28×body2560valid
12.0ms34×body1280valid
6.0ms97×body80nan
6.0ms19×body640valid
2.0msbody5120valid
1.0msbody320valid
0.0msbody160valid

simplify144.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
014365
124365
242325
372325
487325
595325
697325
798325
done98325

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
0.8b
(- (* b b) (* (* 4.0 a) c))
0.9b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
21.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
16×sqrt-prod
13×distribute-lft-out--
add-cbrt-cube add-exp-log
add-log-exp
pow1 div-inv
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 149
Calls
4 calls:
82.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
6.0ms
(- (* b b) (* (* 4.0 a) c))
63.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
20.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
71.0ms
(- (* b b) (* (* 4.0 a) c))
112.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
96.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify323.0ms

Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
028087734