Details

Time bar (total: 17.2s)

sample80.0ms

Algorithm
intervals
Results
25.0ms269×body80nan
19.0ms256×body80valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01114
12112
23312
34212
44412
done4412

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
2.2b
(+ (* y z) (* x (+ y z)))
21.6b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite95.0ms

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:
37.0ms
(* x (+ y z))
20.0ms
(+ (* y z) (* x (+ y z)))
35.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series306.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* x (+ y z))
50.0ms
(+ (* y z) (* x (+ y z)))
202.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify1.0s

Counts
60 → 60
Iterations

Useful iterations: 2 (243.0ms)

IterNodesCost
0102723
1293648
21290606
done5000606

prune389.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 22.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y z))
0.5b
(cbrt (+ y z))
2.2b
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
21.6b
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

rewrite55.0ms

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:
7.0ms
(cbrt (+ y z))
14.0ms
(cbrt (+ y z))
16.0ms
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
15.0ms
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

series758.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt (+ y z))
218.0ms
(cbrt (+ y z))
88.0ms
(+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))))
226.0ms
(sqrt (+ (* y z) (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z)))))

simplify1.2s

Counts
66 → 66
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01161288
12951176
21167715
done5001707

prune607.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 22.6b

localize49.0ms

Local error

Found 4 expressions with local error:

2.2b
(+ (* z y) (* x (+ y z)))
2.2b
(+ (* z y) (* x (+ y z)))
21.6b
(sqrt (+ (* z y) (* x (+ y z))))
21.6b
(sqrt (+ (* z y) (* x (+ y z))))

rewrite61.0ms

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:
16.0ms
(+ (* z y) (* x (+ y z)))
16.0ms
(+ (* z y) (* x (+ y z)))
14.0ms
(sqrt (+ (* z y) (* x (+ y z))))
14.0ms
(sqrt (+ (* z y) (* x (+ y z))))

series453.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* z y) (* x (+ y z)))
37.0ms
(+ (* z y) (* x (+ y z)))
191.0ms
(sqrt (+ (* z y) (* x (+ y z))))
185.0ms
(sqrt (+ (* z y) (* x (+ y z))))

simplify4.7s

Counts
68 → 68
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0661058
1185950
2682886
34706878
done5002878

prune619.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 22.6b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
21.6b
(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)
24.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
17.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
386.0ms
(cbrt x)
389.0ms
(cbrt x)
110.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
264.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: done (1.2s)

IterNodesCost
098988
1265902
21202677
done5001557

prune555.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 22.6b

regimes401.0ms

Accuracy

0% (0.1b remaining)

Error of 20.3b against oracle of 20.2b and baseline of 20.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
done1512

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.3s7855×body80nan
874.0ms8000×body80valid