Details

Time bar (total: 15.6s)

sample70.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
18.0ms231×body80nan

simplify46.0ms

Counts
1 → 1
Iterations
IterNodes
done42
442
341
232
121
011

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ y z) x)
1.4b
(+ (* z y) (* (+ y z) x))
17.3b
(sqrt (+ (* z y) (* (+ y z) x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×*-un-lft-identity
6×pow1 add-cube-cbrt
5×add-cbrt-cube add-exp-log add-log-exp
4×associate-*l*
3×flip3-+ associate-*r* sqrt-prod flip-+
2×sqrt-div associate-*l/
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 47
Calls
3 calls:
22.0ms
(* (+ y z) x)
7.0ms
(+ (* z y) (* (+ y z) x))
6.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (+ y z) x)
38.0ms
(+ (* z y) (* (+ y z) x))
146.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.7s

Counts
56 → 56
Iterations
IterNodes
done5002
33278
2769
1254
097

prune387.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 17.9b

localize51.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (* z y) (* (+ y z) x))
1.4b
(+ (* z y) (* (+ y z) x))
17.3b
(sqrt (+ (* z y) (* (+ y z) x)))
17.3b
(sqrt (+ (* z y) (* (+ y z) x)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+
2×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 52
Calls
4 calls:
7.0ms
(+ (* z y) (* (+ y z) x))
7.0ms
(+ (* z y) (* (+ y z) x))
10.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
11.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series347.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* z y) (* (+ y z) x))
33.0ms
(+ (* z y) (* (+ y z) x))
149.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
139.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.1s

Counts
64 → 64
Iterations
IterNodes
done5001
33233
2682
1180
064

prune431.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 17.9b

localize70.0ms

Local error

Found 4 expressions with local error:

17.3b
(sqrt (* (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))) (cbrt (+ (* z y) (* (+ y z) x)))))
17.7b
(cbrt (+ (* z y) (* (+ y z) x)))
17.7b
(cbrt (+ (* z y) (* (+ y z) x)))
17.7b
(cbrt (+ (* z y) (* (+ y z) x)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-+ flip-+
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-plus
5×pow-prod-down
4×add-cbrt-cube add-exp-log add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 89
Calls
4 calls:
58.0ms
(sqrt (* (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))) (cbrt (+ (* z y) (* (+ y z) x)))))
11.0ms
(cbrt (+ (* z y) (* (+ y z) x)))
4.0ms
(cbrt (+ (* z y) (* (+ y z) x)))
4.0ms
(cbrt (+ (* z y) (* (+ y z) x)))

series983.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(sqrt (* (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))) (cbrt (+ (* z y) (* (+ y z) x)))))
307.0ms
(cbrt (+ (* z y) (* (+ y z) x)))
279.0ms
(cbrt (+ (* z y) (* (+ y z) x)))
259.0ms
(cbrt (+ (* z y) (* (+ y z) x)))

simplify1.3s

Counts
101 → 101
Iterations
IterNodes
done5018
32031
2708
1362
0186

prune902.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 17.9b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
17.3b
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×cbrt-prod add-log-exp
5×pow1
4×add-cbrt-cube add-exp-log
3×sqrt-prod
2×flip3-+ pow1/3 sqrt-div flip-+
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
6.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

series685.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt x)
216.0ms
(cbrt x)
72.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
197.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

simplify2.6s

Counts
60 → 60
Iterations
IterNodes
done5000
33488
2718
1225
087

prune324.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 17.8b

regimes252.0ms

Accuracy

0% (0.3b remaining)

Error of 20.3b against oracle of 20.0b and baseline of 20.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample1.9s

Algorithm
intervals
Results
868.0ms8138×body80nan
552.0ms8000×body80valid