Details

Time bar (total: 20.0s)

sample42.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
10.0ms262×body80nan

simplify63.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01114
12112
23312
34212
44312
done4312

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize17.0ms

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))))

rewrite53.0ms

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:
35.0ms
(* x (+ y z))
9.0ms
(+ (* y z) (* x (+ y z)))
8.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series199.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* x (+ y z))
25.0ms
(+ (* y z) (* x (+ y z)))
146.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify3.1s

Counts
60 → 60
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0102723
1274648
2880606
33542602
done5001602

prune213.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 20.8b

localize35.0ms

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)))))

rewrite43.0ms

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 x) (+ y z))))
15.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

series886.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt x)
323.0ms
(cbrt x)
68.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
206.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

simplify4.2s

Counts
64 → 64
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
098988
1252902
2833669
34536553
done5000553

prune335.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 20.8b

localize15.0ms

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)))))

rewrite89.0ms

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:
8.0ms
(cbrt (+ y z))
44.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
17.0ms
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
13.0ms
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

series749.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(cbrt (+ y z))
233.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
91.0ms
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
207.0ms
(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

prune480.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 20.6b

localize31.0ms

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)))))

rewrite25.0ms

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)
1.0ms
(cbrt x)
13.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z))))
8.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z)))))

series869.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt x)
323.0ms
(cbrt x)
64.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z))))
215.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z)))))

simplify1.0s

Counts
64 → 64
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0991393
12621271
2939867
done5000553

prune319.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 20.6b

regimes218.0ms

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

sample2.4s

Algorithm
intervals
Results
1.1s8029×body80nan
605.0ms8000×body80valid