Details

Time bar (total: 14.0s)

sample64.0ms

Algorithm
intervals
Results
18.0ms249×body80nan
16.0ms256×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01114
12112
23312
34212
44312
done4312

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
0.6b
(+ (* y z) (* x (+ y z)))
16.6b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×*-un-lft-identity
6×pow1 add-cube-cbrt
5×add-exp-log add-cbrt-cube add-log-exp
4×associate-*r*
3×flip3-+ associate-*l* sqrt-prod flip-+
2×distribute-rgt-in associate-+r+ distribute-lft-in sqrt-div associate-*r/
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 51
Calls
3 calls:
29.0ms
(* x (+ y z))
13.0ms
(+ (* y z) (* x (+ y z)))
32.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series234.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* x (+ y z))
44.0ms
(+ (* y z) (* x (+ y z)))
141.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify2.7s

Counts
60 → 60
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0102723
1274648
2880606
33542602
done5001602

prune232.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 17.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y z))
0.5b
(cbrt (+ y z))
0.6b
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
16.6b
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×cbrt-prod add-sqr-sqrt
7×add-cube-cbrt
6×add-log-exp
5×pow1
4×add-exp-log cbrt-div flip3-+ add-cbrt-cube flip-+
3×sqrt-prod
2×pow1/3 sqrt-div distribute-lft-out
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 54
Calls
4 calls:
4.0ms
(cbrt (+ y z))
10.0ms
(cbrt (+ y z))
9.0ms
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
9.0ms
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

series550.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (+ y z))
150.0ms
(cbrt (+ y z))
68.0ms
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
171.0ms
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

simplify2.3s

Counts
66 → 66
Iterations

Useful iterations: 3 (829.0ms)

IterNodesCost
01161288
12921176
2863715
32989705
done5000705

prune571.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 17.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* y z) (* x (+ y z)))
0.6b
(+ (* y z) (* x (+ y z)))
16.6b
(sqrt (+ (* y z) (* x (+ y z))))
16.6b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log associate-+r+ flip3-+ sqrt-div add-cbrt-cube flip-+
2×+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
4 → 56
Calls
4 calls:
9.0ms
(+ (* y z) (* x (+ y z)))
9.0ms
(+ (* y z) (* x (+ y z)))
8.0ms
(sqrt (+ (* y z) (* x (+ y z))))
8.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series334.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* y z) (* x (+ y z)))
23.0ms
(+ (* y z) (* x (+ y z)))
154.0ms
(sqrt (+ (* y z) (* x (+ y z))))
134.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify1.9s

Counts
68 → 68
Iterations

Useful iterations: 3 (548.0ms)

IterNodesCost
0681058
1184950
2604886
32653878
done5001878

prune286.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 17.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* y (+ z x)) (* z x))
0.6b
(+ (* y z) (* x (+ y z)))
16.6b
(sqrt (+ (* y (+ z x)) (* z x)))
16.6b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
2×+-commutative distribute-rgt-in rem-sqrt-square associate-+l+ associate-+r+ distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
4 → 56
Calls
4 calls:
22.0ms
(+ (* y (+ z x)) (* z x))
15.0ms
(+ (* y z) (* x (+ y z)))
26.0ms
(sqrt (+ (* y (+ z x)) (* z x)))
11.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series362.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* y (+ z x)) (* z x))
25.0ms
(+ (* y z) (* x (+ y z)))
131.0ms
(sqrt (+ (* y (+ z x)) (* z x)))
172.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify1.4s

Counts
68 → 68
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01071058
1283954
21038890
done5000878

prune374.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 17.3b

regimes212.0ms

Accuracy

0% (0.2b remaining)

Error of 19.7b against oracle of 19.6b and baseline of 19.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
done1512

end0.0ms

sample2.2s

Algorithm
intervals
Results
694.0ms7973×body80nan
685.0ms8000×body80valid