Details

Time bar (total: 10.5s)

sample106.0ms

Algorithm
intervals
Results
55.0ms886×body80nan
16.0ms293×body80valid

simplify10.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01320
12720
27220
318820
441720
577220
6149620
7249020
8340220
9472420
done500020

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity times-frac
24×add-cube-cbrt associate-*l*
13×add-exp-log add-cbrt-cube
11×pow1
associate-*r/ sqrt-prod
flip3-- sqrt-div associate-*r* flip--
frac-times associate-/r* associate-/r/ add-log-exp
flip3-+ pow-prod-down associate-*l/ prod-exp cbrt-unprod flip-+ associate-/l* unswap-sqr
cbrt-undiv sqrt-pow1 div-exp *-commutative div-inv difference-of-squares
distribute-rgt-in frac-2neg distribute-lft-in pow1/2 clear-num distribute-lft-out--
Counts
4 → 114
Calls
4 calls:
72.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
16.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
121.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
17.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series118.0ms