Details

Time bar (total: 14.9s)

sample37.0ms

Algorithm
intervals
Results
17.0ms315×body80valid

simplify7.5s

Counts
1 → 1
Iterations

Useful iterations: 7 (1.0s)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
associate-/r*
pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
18.0ms
(/ (- x z) y)
0.0ms
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)

series86.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- x z) y)
56.0ms
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)

simplify2.7s

Counts
56 → 56
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
094596
1195571
2468531
31284522
43898518
done5000518

prune150.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x z) y)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
associate-/l*
distribute-lft-out-- difference-of-squares
add-exp-log associate-/r* add-cbrt-cube
associate-/l/
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:
35.0ms
(/ (- x z) y)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ (- x z) y)

simplify2.8s

Counts
43 → 43
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
075416
1160394
2375374
31000374
42603373
done5001373

prune162.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
done78

end0.0ms

sample1.4s

Algorithm
intervals
Results
836.0ms10106×body80valid