Details

Time bar (total: 19.7s)

sample39.0ms

Algorithm
intervals
Results
25.0ms411×body80valid

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
0815
11614
23311
3568
4748
5808
done808

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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)))
32.0ms
(* 3 (* z z))

series127.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(fma y x (* 3 (* z z)))
37.0ms
(* 3 (* z z))

simplify2.9s

Counts
37 → 37
Iterations

Useful iterations: 3 (236.0ms)

IterNodesCost
051312
1102296
2246260
3603254
41323254
done5000254

prune130.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

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:
1.0ms
(fma y x (* (* 3 z) z))
34.0ms
(* (* 3 z) z)

series120.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(fma y x (* (* 3 z) z))
51.0ms
(* (* 3 z) z)

simplify3.5s

Counts
36 → 36
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
053307
1116291
2374253
3854247
41752246
done5000246

prune113.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (pow z 2) (* y x))

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:
1.0ms
(fma 3 (pow z 2) (* y x))

series59.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(fma 3 (pow z 2) (* y x))

simplify3.9s

Counts
13 → 13
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
020140
130137
266121
3207121
4714121
53703121
done5000121

prune42.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite104.0ms

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))))
83.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
19.0ms
(* (cbrt 3) (* z z))

series324.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
105.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
77.0ms
(* (cbrt 3) (* z z))

simplify6.2s

Counts
74 → 74
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
085954
1182923
2619629
32114487
done5000487

prune174.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
198
done98

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s12115×body80valid