Details

Time bar (total: 483.0ms)

sample48.0ms

Algorithm
intervals
Results
10.0ms155×body160valid
9.0ms509×pre80true
8.0ms253×body80nan
4.0ms44×body320valid
2.0ms57×body80valid

simplify49.0ms

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: 44.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
39.7b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite79.0ms

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))
6.0ms
(* (* 3.0 a) c)
42.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
24.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series251.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
24.0ms
(* (* 3.0 a) c)
105.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
79.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify41.0ms

Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
02012338