Details

Time bar (total: 12.8s)

sample15.0ms

Algorithm
intervals
Results
6.0ms293×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1137
2307
3637
4737
done737

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (* y 4.0) z))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
3.0ms
(- x (* (* y 4.0) z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(- x (* (* y 4.0) z))

simplify915.0ms

Counts
23 → 23
Iterations

Useful iterations: done (914.0ms)

IterNodesCost
045273
1109265
2428233
32221229
done5000226

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series729.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt x) (cbrt x))
175.0ms
(cbrt x)
178.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: 3 (297.0ms)

IterNodesCost
065554
1122495
2449423
31993405
done5001405

prune227.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

2.0b
(fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x))))
2.9b
(- (pow x 3) (pow (* (* y 4.0) z) 3))
3.9b
(* (* y 4.0) (* z (fma y (* 4.0 z) x)))
38.9b
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
111×add-sqr-sqrt
96×prod-diff
71×*-un-lft-identity
61×add-cube-cbrt
51×sqr-pow
49×unpow-prod-down cube-prod
40×difference-of-squares
39×times-frac
21×cube-mult unpow3
18×add-exp-log add-cbrt-cube
16×pow1
13×associate-/l*
12×fma-neg
8×pow-prod-down prod-exp cbrt-unprod
6×add-log-exp
5×difference-cubes fma-udef distribute-lft-out--
4×distribute-rgt-in expm1-log1p-u distribute-lft-in log1p-expm1-u
3×associate-/r*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp associate-*r* associate-*l* clear-num *-commutative div-inv
Counts
4 → 242
Calls
4 calls:
0.0ms
(fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x))))
17.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
10.0ms
(* (* y 4.0) (* z (fma y (* 4.0 z) x)))
46.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))

series446.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x))))
185.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
53.0ms
(* (* y 4.0) (* z (fma y (* 4.0 z) x)))
122.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))

simplify2.8s

Counts
254 → 254
Iterations

Useful iterations: 2 (382.0ms)

IterNodesCost
033810339
17997423
235186279
done50006279

prune510.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

29.8b
(/ (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))) (* (cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x))))) (cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))))
29.8b
(cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))
29.8b
(cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))
29.8b
(cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1/3 add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp pow-div
1×frac-2neg prod-exp clear-num associate-/r* pow-sqr pow-prod-up cbrt-unprod div-inv
Counts
4 → 64
Calls
4 calls:
4.0ms
(/ (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))) (* (cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x))))) (cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))))
0.0ms
(cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))
0.0ms
(cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))
1.0ms
(cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))

series630.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(/ (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))) (* (cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x))))) (cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))))
154.0ms
(cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))
158.0ms
(cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))
156.0ms
(cbrt (fma x x (* (* y 4.0) (* z (fma y (* 4.0 z) x)))))

simplify3.9s

Counts
76 → 76
Iterations

Useful iterations: 3 (487.0ms)

IterNodesCost
0862540
11862376
25532020
328051532
done50011532

prune317.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes141.0ms

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
077
197
done97

end0.0ms

sample364.0ms

Algorithm
intervals
Results
179.0ms9125×body80valid