Details

Time bar (total: 4.5s)

sample28.0ms

Algorithm
intervals
Results
8.0ms267×body80valid
7.0ms248×body80nan

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
26314
315414
430114
550514
689414
7122514
8190614
9358114
done500014

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y (/ 1.0 (* x 9.0))) 1.0)
0.2b
(* 3.0 (sqrt x))
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.4b
(/ 1.0 (* x 9.0))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
40×add-sqr-sqrt
36×prod-diff
32×add-cube-cbrt
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
12×associate-*r* distribute-lft-out
11×pow1
add-log-exp
prod-exp cbrt-unprod
expm1-log1p-u fma-neg associate-*l* pow-prod-down sqrt-prod log1p-expm1-u distribute-lft-out--
sub-neg times-frac associate--l+ associate-/l*
cbrt-undiv flip3-- diff-log associate-*r/ div-exp *-commutative flip-- difference-of-squares unswap-sqr
frac-2neg clear-num associate-/r* sum-log div-inv
Counts
4 → 137
Calls
4 calls:
47.0ms
(- (+ y (/ 1.0 (* x 9.0))) 1.0)
4.0ms
(* 3.0 (sqrt x))
81.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms
(/ 1.0 (* x 9.0))

series143.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (+ y (/ 1.0 (* x 9.0))) 1.0)
40.0ms
(* 3.0 (sqrt x))
64.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms
(/ 1.0 (* x 9.0))

simplify46.0ms

Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
02292749