Details

Time bar (total: 8.3s)

sample48.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms236×body80nan

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01114
12112
23312
34212
44412
done4412

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
1.8b
(+ (* y z) (* x (+ y z)))
20.1b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite46.0ms

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:
26.0ms
(* x (+ y z))
10.0ms
(+ (* y z) (* x (+ y z)))
9.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series190.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* x (+ y z))
28.0ms
(+ (* y z) (* x (+ y z)))
124.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify584.0ms

Counts
60 → 60
Iterations

Useful iterations: 2 (150.0ms)

IterNodesCost
0102723
1293648
21290606
done5000606

prune188.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 21.3b

localize23.0ms

Local error

Found 4 expressions with local error:

1.8b
(+ (* y z) (* x (+ y z)))
1.8b
(+ (* y z) (* x (+ y z)))
20.1b
(sqrt (+ (* y z) (* x (+ y z))))
20.1b
(sqrt (+ (* y z) (* 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:
20.0ms
(+ (* y z) (* x (+ y z)))
14.0ms
(+ (* y z) (* x (+ y z)))
11.0ms
(sqrt (+ (* y z) (* x (+ y z))))
14.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series340.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* y z) (* x (+ y z)))
35.0ms
(+ (* y z) (* x (+ y z)))
135.0ms
(sqrt (+ (* y z) (* x (+ y z))))
131.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify636.0ms

Counts
68 → 68
Iterations

Useful iterations: done (634.0ms)

IterNodesCost
0681058
1187950
2778886
done5000878

prune282.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 21.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
20.1b
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

rewrite36.0ms

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)
14.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
12.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

series773.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(cbrt x)
253.0ms
(cbrt x)
83.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z))))
191.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ y z)))))

simplify722.0ms

Counts
64 → 64
Iterations

Useful iterations: done (720.0ms)

IterNodesCost
098988
1265902
21202677
done5001557

prune300.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 21.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z))))
20.1b
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z)))))

rewrite32.0ms

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)
13.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z))))
16.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z)))))

series786.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt x)
270.0ms
(cbrt x)
72.0ms
(+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z))))
187.0ms
(sqrt (+ (* y z) (* (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (+ y z)))))

simplify665.0ms

Counts
64 → 64
Iterations

Useful iterations: done (663.0ms)

IterNodesCost
0991393
12711271
21194867
done5001557

prune230.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 21.3b

regimes106.0ms

Accuracy

0% (0.1b remaining)

Error of 20.2b against oracle of 20.1b and baseline of 20.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
done1512

end0.0ms

sample2.1s

Algorithm
intervals
Results
749.0ms8127×body80nan
611.0ms8000×body80valid