Details

Time bar (total: 19.5s)

sample56.0ms

Algorithm
intervals
Results
16.0ms262×body80nan
16.0ms256×body80valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01114
12112
23312
34212
44312
done4312

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
2.2b
(+ (* y z) (* x (+ y z)))
19.7b
(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:
40.0ms
(* x (+ y z))
18.0ms
(+ (* y z) (* x (+ y z)))
16.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series255.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* x (+ y z))
38.0ms
(+ (* y z) (* x (+ y z)))
184.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify2.7s

Counts
60 → 60
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0102723
1274648
2880606
33542602
done5001602

prune258.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 20.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
2.2b
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
19.7b
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
5×pow1
4×add-exp-log distribute-rgt-in associate-+r+ distribute-lft-in add-cbrt-cube
3×sqrt-prod
2×flip3-+ pow1/3 sqrt-div flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
33.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
16.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

series776.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt x)
240.0ms
(cbrt x)
65.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
203.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

simplify4.3s

Counts
64 → 64
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
098988
1252902
2833669
34536553
done5000553

prune304.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 20.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y z))
0.6b
(* (cbrt (+ y z)) (cbrt (+ y z)))
2.2b
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
19.7b
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×cbrt-prod
23×add-sqr-sqrt
14×add-cube-cbrt cbrt-div
12×pow1
9×flip3-+ swap-sqr flip-+
7×pow1/3 associate-*r* associate-*l* distribute-lft-out
6×add-exp-log add-log-exp
4×frac-times add-cbrt-cube unswap-sqr
3×sqrt-prod
2×sqrt-div associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×+-commutative pow2 rem-sqrt-square sqrt-pow1 pow-plus pow1/2 prod-exp sum-log *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
4.0ms
(cbrt (+ y z))
55.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
16.0ms
(+ (* 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)))))

series773.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt (+ y z))
243.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
94.0ms
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
217.0ms
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

simplify4.6s

Counts
105 → 105
Iterations

Useful iterations: done (4.6s)

IterNodesCost
01751910
14131715
212181227
347761165
done50011161

prune460.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 20.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
2.2b
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z))))
19.7b
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
5×pow1
4×add-exp-log distribute-rgt-in associate-+r+ distribute-lft-in add-cbrt-cube
3×sqrt-prod
2×flip3-+ pow1/3 sqrt-div flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
22.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z))))
9.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z)))))

series837.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt x)
245.0ms
(cbrt x)
95.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z))))
207.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z)))))

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0991393
12621271
2939867
done5000553

prune325.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 20.6b

regimes221.0ms

Accuracy

0% (0.3b remaining)

Error of 20.1b against oracle of 19.8b and baseline of 20.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
done1512

end0.0ms

sample2.0s

Algorithm
intervals
Results
872.0ms8000×body80valid
638.0ms8029×body80nan