Details

Time bar (total: 13.2s)

sample28.0ms

Algorithm
intervals
Results
14.0ms329×body80valid

simplify6.8s

Counts
1 → 1
Iterations

Useful iterations: 7 (914.0ms)

IterNodesCost
01213
12213
25012
312211
427311
548711
673811
7106810
8169110
9360810
done500010

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 0.25 (/ (- x z) y))
0.0b
(/ (- x z) y)
0.0b
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
15×times-frac
14×add-cube-cbrt
5×add-exp-log add-cbrt-cube associate-/l* add-log-exp
4×distribute-lft-out-- difference-of-squares
3×pow1 expm1-log1p-u fma-def associate-/r* log1p-expm1-u
2×div-sub associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ fma-udef div-inv distribute-lft-out
Counts
3 → 68
Calls
3 calls:
21.0ms
(+ 0.25 (/ (- x z) y))
21.0ms
(/ (- x z) y)
5.0ms
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

series90.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ 0.25 (/ (- x z) y))
34.0ms
(/ (- x z) y)
31.0ms
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

simplify1.6s

Counts
77 → 77
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0119796
1268753
2687703
32287694
done5001691

prune329.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x z) y)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
5×associate-/l*
4×distribute-lft-out-- difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
28.0ms
(/ (- x z) y)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (- x z) y)

simplify2.7s

Counts
43 → 43
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
075416
1160394
2375374
31000374
42603373
done5001373

prune117.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
done88

end0.0ms

sample1.3s

Algorithm
intervals
Results
835.0ms10110×body80valid