Details

Time bar (total: 14.8s)

sample19.0ms

Algorithm
intervals
Results
9.0ms383×body80valid

simplify56.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0815
11614
23311
3558
4728
5768
done768

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))

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 y x (* 3 (* z z)))
6.0ms
(* 3 (* z z))

series74.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(fma y x (* 3 (* z z)))
27.0ms
(* 3 (* z z))

simplify2.5s

Counts
37 → 37
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
051312
1105296
2280260
3609254
41223254
53782254
done5000254

prune80.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

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 y x (* (* 3 z) z))
7.0ms
(* (* 3 z) z)

series75.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(fma y x (* (* 3 z) z))
28.0ms
(* (* 3 z) z)

simplify3.6s

Counts
36 → 36
Iterations

Useful iterations: 4 (2.5s)

IterNodesCost
053307
1117291
2423253
31299247
43903246
done5000246

prune81.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z z))
0.0b
(+ (+ (* x y) (* z z)) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
fma-def
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
associate-+l+
Counts
3 → 51
Calls
3 calls:
3.0ms
(+ (* x y) (* z z))
13.0ms
(+ (+ (* x y) (* z z)) (* z z))
55.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series142.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (* x y) (* z z))
48.0ms
(+ (+ (* x y) (* z z)) (* z z))
53.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify1.5s

Counts
60 → 60
Iterations

Useful iterations: 3 (566.0ms)

IterNodesCost
076863
1236666
2848590
33031521
done5000521

prune141.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 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)))
0.3b
(* (cbrt 3) (* z z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
add-sqr-sqrt associate-*l*
add-cube-cbrt *-un-lft-identity
cbrt-prod
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*r* *-commutative unswap-sqr
fma-udef
Counts
3 → 65
Calls
3 calls:
0.0ms
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
28.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
8.0ms
(* (cbrt 3) (* z z))

series238.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
88.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
48.0ms
(* (cbrt 3) (* z z))

simplify5.3s

Counts
74 → 74
Iterations

Useful iterations: 3 (746.0ms)

IterNodesCost
085954
1203923
2670629
32528487
44701487
done5000487

prune142.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes138.0ms

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

sample518.0ms

Algorithm
intervals
Results
281.0ms12243×body80valid