Details

Time bar (total: 896.0ms)

sample88.0ms

Algorithm
intervals
Results
17.0ms179×body80valid
16.0ms32×body2560valid
14.0ms32×body1280valid
8.0ms96×body80nan
5.0ms14×body640valid
2.0msbody5120valid
2.0ms10×body320valid
1.0msbody160valid

simplify131.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.4b
(- (* b b) (* (* 3.0 a) c))
1.3b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
23.6b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite633.0ms

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:
112.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
13.0ms
(- (* b b) (* (* 3.0 a) c))
28.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
477.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series0.0ms