Details

Time bar (total: 15.1s)

sample80.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
21.0ms251×body80nan

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
01114
12112
23312
34212
44312
done4312

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
1.8b
(+ (* y z) (* x (+ y z)))
18.8b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite52.0ms

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:
26.0ms
(* x (+ y z))
12.0ms
(+ (* y z) (* x (+ y z)))
13.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series173.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* x (+ y z))
25.0ms
(+ (* y z) (* x (+ y z)))
119.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify2.8s

Counts
60 → 60
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0102723
1274648
2880606
33542602
done5001602

prune208.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 19.8b

localize13.0ms

Local error

Found 2 expressions with local error:

2.4b
(+ (* y (+ z x)) (* z x))
18.8b
(sqrt (+ (* y (+ z x)) (* z x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log associate-+l+ flip3-+ sqrt-div add-cbrt-cube flip-+
1×+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
2 → 28
Calls
2 calls:
13.0ms
(+ (* y (+ z x)) (* z x))
16.0ms
(sqrt (+ (* y (+ z x)) (* z x)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* y (+ z x)) (* z x))
131.0ms
(sqrt (+ (* y (+ z x)) (* z x)))

simplify2.0s

Counts
34 → 34
Iterations

Useful iterations: 3 (720.0ms)

IterNodesCost
068529
1183479
2630447
32926439
done5001439

prune177.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.8b

localize31.0ms

Local error

Found 4 expressions with local error:

1.8b
(+ (* y z) (* x (+ y z)))
1.8b
(+ (* y z) (* x (+ y z)))
18.8b
(sqrt (+ (* y z) (* x (+ y z))))
18.8b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite64.0ms

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)))
13.0ms
(+ (* y z) (* x (+ y z)))
24.0ms
(sqrt (+ (* y z) (* x (+ y z))))
16.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* y z) (* x (+ y z)))
47.0ms
(+ (* y z) (* x (+ y z)))
155.0ms
(sqrt (+ (* y z) (* x (+ y z))))
151.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify2.0s

Counts
68 → 68
Iterations

Useful iterations: 3 (733.0ms)

IterNodesCost
0681058
1184950
2604886
32653878
done5001878

prune370.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y z))
0.5b
(cbrt (+ y z))
1.8b
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
18.8b
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

rewrite62.0ms

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:
8.0ms
(cbrt (+ y z))
8.0ms
(cbrt (+ y z))
27.0ms
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
16.0ms
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (+ y z))
215.0ms
(cbrt (+ y z))
59.0ms
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
208.0ms
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

simplify2.7s

Counts
66 → 66
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01161288
12921176
2863715
32989705
done5000705

prune311.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 19.7b

regimes158.0ms

Accuracy

0% (0.2b remaining)

Error of 20.2b against oracle of 20.1b and baseline of 20.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
done1512

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s7780×body80nan
621.0ms8000×body80valid