Details

Time bar (total: 13.7s)

sample23.0ms

Algorithm
intervals
Results
10.0ms458×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
0715
11414
22911
3508
4688
5748
done748

prune5.0ms

Pruning

2 alts after pruning (2 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))

rewrite17.0ms

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)))
16.0ms
(* 3 (* y y))

series71.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(fma x x (* 3 (* y y)))
28.0ms
(* 3 (* y y))

simplify3.7s

Counts
37 → 37
Iterations

Useful iterations: 3 (154.0ms)

IterNodesCost
050312
1102296
2250260
3604254
41262254
54624254
done5000254

prune69.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* 3 y) y))
0.1b
(* (* 3 y) y)

rewrite18.0ms

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))
17.0ms
(* (* 3 y) y)

series72.0ms

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

simplify2.4s

Counts
36 → 36
Iterations

Useful iterations: 4 (989.0ms)

IterNodesCost
052307
1116291
2378253
3857247
41706246
done5000246

prune72.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u unpow2 add-log-exp sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma x x (* 3 (pow y 2)))
12.0ms
(* 3 (pow y 2))

series72.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(fma x x (* 3 (pow y 2)))
30.0ms
(* 3 (pow y 2))

simplify3.3s

Counts
45 → 45
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
067382
1130350
2273307
3833307
44323300
done5000300

prune83.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow y 2))))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow y 2)))
0.3b
(* (cbrt 3) (pow y 2))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
21×prod-exp
19×add-sqr-sqrt
10×add-cbrt-cube
9×associate-*r* cbrt-unprod
8×pow1 unswap-sqr
7×cbrt-prod add-cube-cbrt *-un-lft-identity associate-*l*
5×unpow-prod-down
3×expm1-log1p-u pow-to-exp pow-prod-down pow-exp log1p-expm1-u unpow2 add-log-exp sqr-pow
2×*-commutative
1×fma-udef
Counts
3 → 72
Calls
3 calls:
0.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow y 2))))
39.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow y 2)))
16.0ms
(* (cbrt 3) (pow y 2))

series227.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow y 2))))
90.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (pow y 2)))
49.0ms
(* (cbrt 3) (pow y 2))

simplify2.6s

Counts
81 → 81
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01021023
1218954
2681684
32336576
done5001559

prune143.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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

sample594.0ms

Algorithm
intervals
Results
303.0ms14303×body80valid