Details

Time bar (total: 990.0ms)

sample100.0ms

Algorithm
intervals
Results
57.0ms278×body80valid
11.0ms97×body80nan

simplify211.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
020616
138616
274616
3127616
4151616
5160616
6166616
7168616
done168616

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize141.0ms

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))))
23.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite63.0ms

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:
25.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
18.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series397.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
106.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
80.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
115.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify68.0ms

Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
010026546