Details

Time bar (total: 487.0ms)

sample52.0ms

Algorithm
intervals
Results
11.0ms582×pre80true
10.0ms326×body80nan
10.0ms152×body160valid
3.0ms104×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01217
12217
24216
38316
410216
511016
done11016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.3b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
15×sqrt-prod
14×add-exp-log add-cbrt-cube
pow1
add-log-exp
fma-neg
times-frac associate-/l* difference-of-squares
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
flip3-- associate-*r* pow-prod-down flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
7.0ms
(* (* 3.0 a) c)
44.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
23.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series248.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
107.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
78.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify40.0ms

Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
02012338