Details

Time bar (total: 1.2s)

sample56.0ms

Algorithm
intervals
Results
24.0ms286×body80valid
7.0ms97×body80nan

simplify214.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
020616
136616
262616
3110616
4138616
5150616
6157616
7158616
done158616

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize173.0ms

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)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
60×prod-diff
58×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
37×sqrt-prod
26×distribute-rgt-neg-in
24×distribute-lft-neg-in
12×add-log-exp
10×fma-def fma-neg
8×neg-mul-1
6×pow1
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log log1p-expm1-u
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square sum-log 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 → 151
Calls
4 calls:
18.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
31.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
12.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series476.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
105.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
94.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
139.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify160.0ms

Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
017985356