Details

Time bar (total: 9.2s)

sample26.0ms

Algorithm
intervals
Results
15.0ms438×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
0913
11812
24410
3699
4719
done719

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x (fma y 2.0 x) (* y y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma x (fma y 2.0 x) (* y y))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma x (fma y 2.0 x) (* y y))

simplify666.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
023165
143165
295135
3275135
41209135
done5000135

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
9.2b
(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b
(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b
(cbrt (fma x (fma y 2.0 x) (* y y)))

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 (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
1.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))

series651.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
162.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
157.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
164.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))

simplify2.6s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0931834
11881705
25001562
314561353
449421338
done50001338

prune283.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

8.6b
(sqrt (fma x (fma y 2.0 x) (* y y)))
9.2b
(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b
(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b
(cbrt (fma x (fma y 2.0 x) (* y y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
1.0ms
(sqrt (fma x (fma y 2.0 x) (* y y)))
1.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))

series553.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (fma x (fma y 2.0 x) (* y y)))
162.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
156.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
162.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))

simplify1.2s

Counts
66 → 66
Iterations

Useful iterations: 4 (362.0ms)

IterNodesCost
063926
1119887
2249817
3636808
42155805
done5000805

prune304.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

9.2b
(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b
(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b
(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b
(cbrt (fma x (fma y 2.0 x) (* y y)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))

series646.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
157.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
165.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
159.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))

simplify1.1s

Counts
64 → 64
Iterations

Useful iterations: 4 (320.0ms)

IterNodesCost
046944
191928
2204848
3565836
42008832
done5000832

prune280.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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
069
done69

end0.0ms

sample605.0ms

Algorithm
intervals
Results
388.0ms14101×body80valid