Details

Time bar (total: 1.2s)

sample101.0ms

Algorithm
intervals
Results
25.0ms155×body160valid
20.0ms343×body80nan
15.0ms599×pre80true
9.0ms48×body320valid
3.0ms53×body80valid

simplify105.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
014365
124365
242325
372325
487325
595325
697325
798325
done98325

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
38.3b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite227.0ms

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)))
13.0ms
(- (* b b) (* (* 4.0 a) c))
117.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
72.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series457.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(- (* b b) (* (* 4.0 a) c))
157.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
124.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify289.0ms

Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
028087734