Details

Time bar (total: 15.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms482×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
0715
11414
22911
3508
4678
5718
done718

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*r* *-commutative fma-udef unswap-sqr
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma x x (* 3 (* y y)))
7.0ms
(* 3 (* y y))

series72.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(fma x x (* 3 (* y y)))
26.0ms
(* 3 (* y y))

simplify2.7s

Counts
37 → 37
Iterations

Useful iterations: 3 (165.0ms)

IterNodesCost
050312
1106296
2284260
3610254
41240254
53484254
done5000254

prune74.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x x (* (* 3 y) y))
7.0ms
(* (* 3 y) y)

series71.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(fma x x (* (* 3 y) y))
29.0ms
(* (* 3 y) y)

simplify5.0s

Counts
36 → 36
Iterations

Useful iterations: 4 (3.1s)

IterNodesCost
052307
1118291
2428253
31320247
44461246
done5000246

prune87.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (pow y 2) 3))
0.2b
(* (pow y 2) 3)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*l*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube unswap-sqr
associate-*r* prod-exp
pow1 expm1-log1p-u log1p-expm1-u unpow2 add-log-exp sqr-pow
pow-to-exp pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma x x (* (pow y 2) 3))
6.0ms
(* (pow y 2) 3)

series72.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(fma x x (* (pow y 2) 3))
29.0ms
(* (pow y 2) 3)

simplify2.3s

Counts
45 → 45
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
065379
1124351
2383308
31214308
done5000308

prune108.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* (* (pow y 2) (* (cbrt 3) (cbrt 3))) (cbrt 3)))
0.2b
(* (pow y 2) (* (cbrt 3) (cbrt 3)))
0.2b
(* (* (pow y 2) (* (cbrt 3) (cbrt 3))) (cbrt 3))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
25×prod-exp
10×add-cbrt-cube
add-sqr-sqrt associate-*l* cbrt-unprod
add-cube-cbrt *-un-lft-identity associate-*r*
pow1
pow-to-exp unpow-prod-down pow-exp unswap-sqr
cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
pow-prod-down *-commutative unpow2 sqr-pow
pow2 fma-udef
Counts
3 → 70
Calls
3 calls:
0.0ms
(fma x x (* (* (pow y 2) (* (cbrt 3) (cbrt 3))) (cbrt 3)))
13.0ms
(* (pow y 2) (* (cbrt 3) (cbrt 3)))
40.0ms
(* (* (pow y 2) (* (cbrt 3) (cbrt 3))) (cbrt 3))

series257.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(fma x x (* (* (pow y 2) (* (cbrt 3) (cbrt 3))) (cbrt 3)))
75.0ms
(* (pow y 2) (* (cbrt 3) (cbrt 3)))
93.0ms
(* (* (pow y 2) (* (cbrt 3) (cbrt 3))) (cbrt 3))

simplify3.8s

Counts
79 → 79
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
01021076
1241932
2933715
34066604
done5000604

prune164.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes54.0ms

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

sample507.0ms

Algorithm
intervals
Results
304.0ms14358×body80valid