Details

Time bar (total: 12.0s)

sample39.0ms

Algorithm
intervals
Results
14.0ms258×body80nan
9.0ms256×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01114
12212
24211
35811
46211
56311
done6311

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize14.0ms

Local error

Found 3 expressions with local error:

1.0b
(+ (* x y) (* x z))
2.4b
(+ (+ (* x y) (* x z)) (* y z))
21.6b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
6×add-sqr-sqrt
5×add-cube-cbrt fma-def *-un-lft-identity
4×pow1 sum-log
3×add-exp-log expm1-log1p-u flip3-+ sqrt-prod add-cbrt-cube flip-+ log1p-expm1-u
2×+-commutative sqrt-div distribute-lft-out
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2
Counts
3 → 51
Calls
3 calls:
3.0ms
(+ (* x y) (* x z))
14.0ms
(+ (+ (* x y) (* x z)) (* y z))
15.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* x y) (* x z))
23.0ms
(+ (+ (* x y) (* x z)) (* y z))
121.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.3s

Counts
60 → 60
Iterations

Useful iterations: done (2.3s)

IterNodesCost
092853
1270652
2908584
33442573
done5001570

prune217.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 22.8b

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b
(fma x z (* y (+ z x)))
1.3b
(fma x z (* y (+ z x)))
21.6b
(sqrt (fma x z (* y (+ z x))))
21.6b
(sqrt (fma x z (* y (+ z x))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
4 → 50
Calls
4 calls:
0.0ms
(fma x z (* y (+ z x)))
0.0ms
(fma x z (* y (+ z x)))
1.0ms
(sqrt (fma x z (* y (+ z x))))
1.0ms
(sqrt (fma x z (* y (+ z x))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(fma x z (* y (+ z x)))
24.0ms
(fma x z (* y (+ z x)))
129.0ms
(sqrt (fma x z (* y (+ z x))))
124.0ms
(sqrt (fma x z (* y (+ z x))))

simplify2.1s

Counts
62 → 62
Iterations

Useful iterations: 4 (762.0ms)

IterNodesCost
050750
1100674
2259616
3865608
43480602
done5000602

prune229.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 22.8b

localize13.0ms

Local error

Found 4 expressions with local error:

16.1b
(cbrt (* x (+ y z)))
16.1b
(cbrt (* x (+ y z)))
16.1b
(cbrt (* x (+ y z)))
21.6b
(sqrt (+ (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z)))) (* y z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt cbrt-div associate-*r/
5×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (* x (+ y z)))
3.0ms
(cbrt (* x (+ y z)))
4.0ms
(cbrt (* x (+ y z)))
37.0ms
(sqrt (+ (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z)))) (* y z)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(cbrt (* x (+ y z)))
115.0ms
(cbrt (* x (+ y z)))
109.0ms
(cbrt (* x (+ y z)))
113.0ms
(sqrt (+ (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z)))) (* y z)))

simplify1.2s

Counts
68 → 68
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01051172
12711074
2674667
31938652
done5001646

prune285.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 22.8b

localize17.0ms

Local error

Found 4 expressions with local error:

1.3b
(fma x z (* y (+ z x)))
21.6b
(sqrt (fma x z (* y (+ z x))))
22.2b
(cbrt (fma x z (* y (+ z x))))
22.2b
(cbrt (fma x z (* y (+ z x))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow1/3
1×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
4 → 51
Calls
4 calls:
0.0ms
(fma x z (* y (+ z x)))
1.0ms
(sqrt (fma x z (* y (+ z x))))
1.0ms
(cbrt (fma x z (* y (+ z x))))
1.0ms
(cbrt (fma x z (* y (+ z x))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(fma x z (* y (+ z x)))
120.0ms
(sqrt (fma x z (* y (+ z x))))
219.0ms
(cbrt (fma x z (* y (+ z x))))
223.0ms
(cbrt (fma x z (* y (+ z x))))

simplify2.6s

Counts
63 → 63
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
081801
1170757
2397690
31194676
44509657
done5000657

prune306.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 22.8b

regimes203.0ms

Accuracy

0% (0.0b remaining)

Error of 20.8b against oracle of 20.8b and baseline of 20.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11714
done1714

end0.0ms

sample856.0ms

Algorithm
intervals
Results
270.0ms8000×body80valid
251.0ms7776×body80nan