Details

Time bar (total: 12.4s)

sample22.0ms

Algorithm
intervals
Results
8.0ms388×body80valid

simplify49.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
0815
11614
23311
3568
4748
5808
done808

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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 y x (* 3 (* z z)))
17.0ms
(* 3 (* z z))

series78.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(fma y x (* 3 (* z z)))
28.0ms
(* 3 (* z z))

simplify1.9s

Counts
37 → 37
Iterations

Useful iterations: 3 (149.0ms)

IterNodesCost
051312
1102296
2246260
3603254
41323254
done5000254

prune77.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

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 y x (* (* 3 z) z))
17.0ms
(* (* 3 z) z)

series76.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(fma y x (* (* 3 z) z))
28.0ms
(* (* 3 z) z)

simplify2.2s

Counts
36 → 36
Iterations

Useful iterations: 4 (962.0ms)

IterNodesCost
053307
1116291
2374253
3854247
41752246
done5000246

prune76.0ms

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 y x (* (* z z) 3))
0.2b
(* (* z z) 3)

rewrite22.0ms

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-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef unswap-sqr
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma y x (* (* z z) 3))
21.0ms
(* (* z z) 3)

series74.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(fma y x (* (* z z) 3))
25.0ms
(* (* z z) 3)

simplify1.9s

Counts
37 → 37
Iterations

Useful iterations: 3 (254.0ms)

IterNodesCost
054315
1109301
2329261
3836255
41855255
done5000255

prune84.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

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 y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
66.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
19.0ms
(* (cbrt 3) (* z z))

series247.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
91.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
49.0ms
(* (cbrt 3) (* z z))

simplify4.6s

Counts
74 → 74
Iterations

Useful iterations: 3 (833.0ms)

IterNodesCost
085954
1182923
2619629
32114487
done5000487

prune131.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes86.0ms

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
078
198
done98

end0.0ms

sample629.0ms

Algorithm
intervals
Results
280.0ms12115×body80valid