Details

Time bar (total: 849.0ms)

sample35.0ms

Algorithm
intervals
Results
15.0ms282×body80valid
4.0ms86×body80nan

simplify85.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
02038
13538
26537
311537
413837
515237
615337
done15337

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize112.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.3b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
21.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity
10×add-log-exp
8×sqrt-prod
6×pow1 add-cube-cbrt
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
3×diff-log distribute-lft-out--
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2
1×associate--l- neg-sub0 distribute-rgt-neg-in neg-log
Counts
4 → 63
Calls
4 calls:
15.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
17.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
78.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
68.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
67.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify279.0ms

Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
01061330
12491181
28361110