Details

Time bar (total: 21.6s)

sample48.0ms

Algorithm
intervals
Results
18.0ms308×body80valid

simplify6.4s

Counts
1 → 1
Iterations

Useful iterations: 7 (726.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:
1.0ms
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)
36.0ms
(/ (- x z) y)

series97.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)
49.0ms
(/ (- x z) y)

simplify2.8s

Counts
56 → 56
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
095596
1196571
2466531
31270522
43864518
done5000518

prune190.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x z) y)

rewrite31.0ms

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:
29.0ms
(/ (- x z) y)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (- x z) y)

simplify3.1s

Counts
43 → 43
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
075416
1160394
2375374
31000374
42603373
done5001373

prune206.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
253×times-frac
204×add-sqr-sqrt
200×*-un-lft-identity
192×add-cube-cbrt
169×prod-diff
29×div-inv
13×fma-neg
4×distribute-lft-out-- difference-of-squares
3×add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub add-cbrt-cube flip-- log1p-expm1-u sub-div
Counts
1 → 207
Calls
1 calls:
58.0ms
(- (/ x y) (/ z y))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(- (/ x y) (/ z y))

simplify3.7s

Counts
210 → 210
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
03107884
16836890
214724963
345583552
done50003552

prune305.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.5b
(fma x x (* z (+ x z)))
2.2b
(* (fma x x (* z (+ x z))) y)
3.0b
(- (pow x 3) (pow z 3))
41.6b
(/ (- (pow x 3) (pow z 3)) (* (fma x x (* z (+ x z))) y))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
157×add-sqr-sqrt
144×prod-diff
113×*-un-lft-identity
111×unpow-prod-down cube-prod
83×add-cube-cbrt
49×sqr-pow
48×difference-of-squares
25×cube-mult times-frac unpow3 associate-/l*
15×distribute-lft-out--
12×fma-neg
11×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×difference-cubes associate-*r* associate-*l*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×sub-neg frac-2neg diff-log div-sub pow-prod-down clear-num associate-/r* *-commutative fma-udef div-inv unswap-sqr
Counts
4 → 292
Calls
4 calls:
0.0ms
(fma x x (* z (+ x z)))
7.0ms
(* (fma x x (* z (+ x z))) y)
64.0ms
(- (pow x 3) (pow z 3))
124.0ms
(/ (- (pow x 3) (pow z 3)) (* (fma x x (* z (+ x z))) y))

series289.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(fma x x (* z (+ x z)))
40.0ms
(* (fma x x (* z (+ x z))) y)
95.0ms
(- (pow x 3) (pow z 3))
125.0ms
(/ (- (pow x 3) (pow z 3)) (* (fma x x (* z (+ x z))) y))

simplify1.7s

Counts
304 → 304
Iterations

Useful iterations: 2 (625.0ms)

IterNodesCost
03058100
16645160
221514142
done50004142

prune820.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
done88

end0.0ms

sample1.3s

Algorithm
intervals
Results
802.0ms10078×body80valid