Details

Time bar (total: 557.0ms)

sample69.0ms

Algorithm
intervals
Results
15.0ms37×body2560valid
14.0ms199×body80valid
8.0ms25×body1280valid
7.0ms99×body80nan
2.0ms11×body640valid
2.0ms10×body320valid
1.0msbody5120valid
0.0msbody160valid

simplify220.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12917
26417
312017
414517
515217
615617
done15617

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
0.6b
(- (* b b) (* 4.0 (* a c)))
0.8b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
22.1b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt prod-diff
60×*-un-lft-identity
48×add-cube-cbrt
36×sqrt-prod
24×distribute-rgt-neg-in
21×distribute-lft-neg-in
11×fma-neg
10×add-log-exp
add-exp-log add-cbrt-cube
neg-mul-1 times-frac associate-/l*
distribute-lft-out-- difference-of-squares
pow1
expm1-log1p-u flip3-- flip-- log1p-expm1-u
diff-log
cbrt-undiv sub-neg sqrt-div div-exp associate-/l/
associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 157
Calls
4 calls:
136.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
10.0ms
(- (* b b) (* 4.0 (* a c)))
63.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
33.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series0.0ms