Details

Time bar (total: 1.5s)

sample86.0ms

Algorithm
intervals
Results
38.0ms286×body80valid
11.0ms97×body80nan

simplify584.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
020616
135616
261616
3103616
4131616
5143616
6150616
7151616
done151616

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize146.0ms

Local error

Found 4 expressions with local error:

0.9b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
2.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
21.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-cbrt-cube sqrt-div add-exp-log
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square sum-log distribute-rgt-neg-in sqrt-pow1 pow1/2 diff-log neg-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×associate--l- +-commutative sub-neg flip3-+ associate-+l- flip-+
Counts
4 → 63
Calls
4 calls:
30.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
42.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
13.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
12.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series506.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
147.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
135.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
116.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify98.0ms

Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
010026546