Details

Time bar (total: 4.7s)

sample49.0ms

Algorithm
intervals
Results
22.0ms348×body80valid

simplify941.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
12011
24711
313011
433511
5118111
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- x y) (* z 0.5))
0.0b
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube add-log-exp
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×times-frac diff-log associate-/r*
2×pow1 cbrt-undiv sub-neg flip3-- associate-*r/ div-exp associate--l+ flip-- associate-/l/
1×associate--l- frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
2 → 39
Calls
2 calls:
56.0ms
(- (- x y) (* z 0.5))
63.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series123.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (- x y) (* z 0.5))
82.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify999.0ms

Counts
45 → 45
Iterations

Useful iterations: done (997.0ms)

IterNodesCost
091607
1247589
21278501
done5000497

prune113.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 4.0 (/ (- x y) z))
0.0b
(/ (- x y) z)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
47.0ms
(* 4.0 (/ (- x y) z))
33.0ms
(/ (- x y) z)

series112.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* 4.0 (/ (- x y) z))
50.0ms
(/ (- x y) z)

simplify712.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
0114831
1294779
21268713
done5000713

prune233.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1109
done109

end0.0ms

sample1.1s

Algorithm
intervals
Results
673.0ms10097×body80valid