Details

Time bar (total: 947.0ms)

sample76.0ms

Algorithm
intervals
Results
13.0ms174×body80valid
12.0ms30×body2560valid
11.0ms28×body1280valid
7.0ms23×body640valid
6.0ms97×body80nan
3.0msbody5120valid
2.0msbody320valid
1.0msbody160valid

simplify180.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014365
128365
261365
3106365
4127365
5132365
6137365
7139365
done139365

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.3b

localize42.0ms

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)))
2.1b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
23.2b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×*-un-lft-identity
10×add-log-exp
add-cbrt-cube add-exp-log
times-frac add-cube-cbrt associate-/l*
sqrt-prod distribute-lft-out-- difference-of-squares
pow1
flip3-- flip--
distribute-rgt-neg-in diff-log
cbrt-undiv sub-neg sqrt-div div-exp associate-/l/
associate--l- neg-sub0 rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub neg-log prod-exp cbrt-unprod div-inv
Counts
4 → 77
Calls
4 calls:
64.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
7.0ms
(- (* b b) (* 4.0 (* a c)))
23.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
7.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
54.0ms
(- (* b b) (* 4.0 (* a c)))
126.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
92.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify154.0ms

Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
015534459