Details

Time bar (total: 13.9s)

sample49.0ms

Algorithm
intervals
Results
22.0ms315×body80valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 7 (896.0ms)

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: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
31.0ms
(/ (- x z) y)
0.0ms
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

series85.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- x z) y)
46.0ms
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

simplify2.6s

Counts
56 → 56
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
095596
1196571
2467531
31274522
43866518
done5000518

prune168.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x z) y)

rewrite36.0ms

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:
33.0ms
(/ (- x z) y)

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (- x z) y)

simplify3.3s

Counts
43 → 43
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
075416
1160394
2375374
31000374
42603373
done5001373

prune194.0ms

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
802.0ms10106×body80valid