Details

Time bar (total: 8.1s)

sample34.0ms

Algorithm
intervals
Results
15.0ms453×body80valid

simplify75.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
0715
11414
22911
3518
4718
5798
done798

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* 3 (* y y)))
0.2b
(* 3 (* y y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef unswap-sqr
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma x x (* 3 (* y y)))
19.0ms
(* 3 (* y y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(fma x x (* 3 (* y y)))
38.0ms
(* 3 (* y y))

simplify635.0ms

Counts
37 → 37
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
050312
1120296
2624260
done5001260

prune138.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* 3 y) y))
0.2b
(* (* 3 y) y)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x x (* (* 3 y) y))
35.0ms
(* (* 3 y) y)

series107.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(fma x x (* (* 3 y) y))
39.0ms
(* (* 3 y) y)

simplify725.0ms

Counts
36 → 36
Iterations

Useful iterations: done (723.0ms)

IterNodesCost
052307
1123293
2775257
done5001253

prune161.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b
(* (cbrt 3) (* y y))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×cbrt-prod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative unswap-sqr
1×fma-udef
Counts
3 → 65
Calls
3 calls:
0.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
107.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
36.0ms
(* (cbrt 3) (* y y))

series305.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
131.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
67.0ms
(* (cbrt 3) (* y y))

simplify940.0ms

Counts
74 → 74
Iterations

Useful iterations: done (937.0ms)

IterNodesCost
084954
1217930
21035629
done5000507

prune254.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))))
0.2b
(* (sqrt (cbrt 3)) (* y y))
0.2b
(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))

rewrite365.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1 add-exp-log
42×add-cbrt-cube
33×pow-prod-down prod-exp cbrt-unprod
19×associate-*l*
14×sqrt-prod
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* *-commutative unswap-sqr
1×fma-udef
Counts
4 → 104
Calls
4 calls:
1.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))))
28.0ms
(* (sqrt (cbrt 3)) (* y y))
82.0ms
(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))
246.0ms
(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))

series532.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))))
138.0ms
(* (sqrt (cbrt 3)) (* y y))
81.0ms
(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))
150.0ms
(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))

simplify1.5s

Counts
116 → 116
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01171968
13291477
21827995
done5001857

prune438.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
done88

end0.0ms

sample1.3s

Algorithm
intervals
Results
823.0ms14180×body80valid