Details

Time bar (total: 12.6s)

sample53.0ms

Algorithm
intervals
Results
14.0ms296×body80nan
12.0ms256×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01114
12112
23312
34212
44412
done4412

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
1.0b
(+ (* y z) (* x (+ y z)))
17.9b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite63.0ms

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:
36.0ms
(* x (+ y z))
13.0ms
(+ (* y z) (* x (+ y z)))
12.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series177.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* x (+ y z))
24.0ms
(+ (* y z) (* x (+ y z)))
118.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify782.0ms

Counts
60 → 60
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
0102723
1293648
21290606
done5000606

prune186.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
1.0b
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
17.9b
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
13.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

series728.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt x)
204.0ms
(cbrt x)
57.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
196.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

simplify794.0ms

Counts
64 → 64
Iterations

Useful iterations: done (792.0ms)

IterNodesCost
098988
1265902
21202677
done5001557

prune267.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 18.8b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (* y (+ z x)) (* x z))
1.0b
(+ (* y (+ z x)) (* x z))
17.9b
(sqrt (+ (* y (+ z x)) (* x z)))
17.9b
(sqrt (+ (* y (+ z x)) (* x z)))

rewrite72.0ms

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-+l+ 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:
23.0ms
(+ (* y (+ z x)) (* x z))
13.0ms
(+ (* y (+ z x)) (* x z))
17.0ms
(sqrt (+ (* y (+ z x)) (* x z)))
15.0ms
(sqrt (+ (* y (+ z x)) (* x z)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* y (+ z x)) (* x z))
27.0ms
(+ (* y (+ z x)) (* x z))
149.0ms
(sqrt (+ (* y (+ z x)) (* x z)))
150.0ms
(sqrt (+ (* y (+ z x)) (* x z)))

simplify3.4s

Counts
68 → 68
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0671058
1185958
2695894
34892878
done5000878

prune378.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 18.8b

localize33.0ms

Local error

Found 4 expressions with local error:

17.9b
(sqrt (* (* (cbrt (+ (* (+ y z) x) (* y z))) (cbrt (+ (* (+ y z) x) (* y z)))) (cbrt (+ (* (+ y z) x) (* y z)))))
18.5b
(cbrt (+ (* (+ y z) x) (* y z)))
18.5b
(cbrt (+ (* (+ y z) x) (* y z)))
18.5b
(cbrt (+ (* (+ y z) x) (* y z)))

rewrite251.0ms

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 add-cube-cbrt *-un-lft-identity
6×pow-plus
5×pow-prod-down
4×add-exp-log add-cbrt-cube add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 89
Calls
4 calls:
188.0ms
(sqrt (* (* (cbrt (+ (* (+ y z) x) (* y z))) (cbrt (+ (* (+ y z) x) (* y z)))) (cbrt (+ (* (+ y z) x) (* y z)))))
17.0ms
(cbrt (+ (* (+ y z) x) (* y z)))
17.0ms
(cbrt (+ (* (+ y z) x) (* y z)))
23.0ms
(cbrt (+ (* (+ y z) x) (* y z)))

series924.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(sqrt (* (* (cbrt (+ (* (+ y z) x) (* y z))) (cbrt (+ (* (+ y z) x) (* y z)))) (cbrt (+ (* (+ y z) x) (* y z)))))
283.0ms
(cbrt (+ (* (+ y z) x) (* y z)))
258.0ms
(cbrt (+ (* (+ y z) x) (* y z)))
268.0ms
(cbrt (+ (* (+ y z) x) (* y z)))

simplify1.4s

Counts
101 → 101
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01863720
13723368
27222960
327012855
done50002831

prune359.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 18.8b

regimes169.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
done1512

end0.0ms

sample2.0s

Algorithm
intervals
Results
849.0ms8000×body80valid
550.0ms7899×body80nan