Details

Time bar (total: 1.2s)

sample69.0ms

Algorithm
intervals
Results
15.0ms300×body80nan
15.0ms146×body160valid
12.0ms556×pre80true
6.0ms110×body80valid

simplify160.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
014365
124365
242325
372325
487325
595325
697325
798325
done98325

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
0.2b
(- (* b b) (* (* 4.0 a) c))
29.0b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite170.0ms

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:
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
80.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
6.0ms
(- (* b b) (* (* 4.0 a) c))
55.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series477.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
157.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
81.0ms
(- (* b b) (* (* 4.0 a) c))
126.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify250.0ms

Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
028087734