Details

Time bar (total: 20.4s)

sample37.0ms

Algorithm
intervals
Results
16.0ms306×body80valid

simplify6.9s

Counts
1 → 1
Iterations

Useful iterations: 7 (1.0s)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
0.0ms
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)
22.0ms
(/ (- x z) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)
34.0ms
(/ (- x z) y)

simplify2.5s

Counts
56 → 56
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
094596
1195571
2467531
31282522
43900518
done5000518

prune249.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x z) y)

rewrite45.0ms

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:
42.0ms
(/ (- x z) y)

series50.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (- x z) y)

simplify2.8s

Counts
43 → 43
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
075416
1160394
2375374
31000374
42603373
done5001373

prune150.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x z))
0.5b
(/ 1 (/ y (- x z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
add-cbrt-cube
div-exp
div-inv associate-/l*
flip3-- flip--
cbrt-undiv
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
pow-flip inv-pow
Counts
2 → 149
Calls
2 calls:
17.0ms
(/ y (- x z))
19.0ms
(/ 1 (/ y (- x z)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ y (- x z))
47.0ms
(/ 1 (/ y (- x z)))

simplify2.7s

Counts
155 → 155
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
02092112
14301771
28781578
322441526
done50001526

prune341.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- x z))
0.4b
(/ (/ 1 y) (/ 1 (- x z)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×add-exp-log distribute-lft-out-- difference-of-squares
38×div-inv
34×div-exp
31×associate-/r/
26×associate-/r*
16×add-cbrt-cube associate-/l*
15×flip3-- flip--
cbrt-undiv rec-exp 1-exp
pow1
expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
pow-flip associate-/l/ inv-pow
Counts
2 → 384
Calls
2 calls:
18.0ms
(/ 1 (- x z))
35.0ms
(/ (/ 1 y) (/ 1 (- x z)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ 1 (- x z))
40.0ms
(/ (/ 1 y) (/ 1 (- x z)))

simplify1.9s

Counts
390 → 390
Iterations

Useful iterations: done (1.9s)

IterNodesCost
05358147
114485766
224515042
done50004898

prune474.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
done78

end1.0ms

sample1.7s

Algorithm
intervals
Results
1.2s10143×body80valid