Details

Time bar (total: 6.1s)

sample168.0ms

Algorithm
intervals
Results
92.0ms882×body80nan
25.0ms284×body80valid

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
01320
12720
27619
320619
450319
599219
6208019
7344919
done500019

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
85×*-un-lft-identity
83×add-cube-cbrt
78×prod-diff
67×times-frac
41×distribute-rgt-in distribute-lft-in
pow1
add-exp-log add-cbrt-cube
div-inv
associate-*r/ associate-*r*
sqrt-prod
expm1-log1p-u sqrt-div associate-/r* log1p-expm1-u add-log-exp
flip3-- associate-*l* flip-- associate-/l*
sub-neg sqrt-pow1 pow-prod-down associate-/r/ difference-of-squares
cbrt-undiv frac-2neg pow1/2 div-exp prod-exp clear-num *-commutative cbrt-unprod fma-udef distribute-lft-out-- unswap-sqr
Counts
4 → 167
Calls
4 calls:
1.0ms
(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
101.0ms
(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
82.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
26.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series92.0ms