Details

Time bar (total: 15.2s)

sample54.0ms

Algorithm
intervals
Results
15.0ms265×body80nan
15.0ms256×body80valid

simplify32.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.6b
(+ (* x y) (* x z))
1.4b
(+ (+ (* x y) (* x z)) (* y z))
20.3b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt
4×pow1 sum-log *-un-lft-identity add-cube-cbrt
3×flip3-+ add-cbrt-cube add-exp-log sqrt-prod flip-+
2×+-commutative sqrt-div
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 40
Calls
3 calls:
9.0ms
(+ (* x y) (* x z))
38.0ms
(+ (+ (* x y) (* x z)) (* y z))
34.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series218.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ (* x y) (* x z))
32.0ms
(+ (+ (* x y) (* x z)) (* y z))
138.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.4s

Counts
49 → 49
Iterations
IterNodes
done5001
34100
2878
1249
085

prune294.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.4b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (+ y x))
1.4b
(+ (* x y) (* z (+ y x)))
20.3b
(sqrt (+ (* x y) (* z (+ y x))))

rewrite41.0ms

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-*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 sum-log sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 51
Calls
3 calls:
24.0ms
(* z (+ y x))
9.0ms
(+ (* x y) (* z (+ y x)))
6.0ms
(sqrt (+ (* x y) (* z (+ y x))))

series218.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* z (+ y x))
37.0ms
(+ (* x y) (* z (+ y x)))
149.0ms
(sqrt (+ (* x y) (* z (+ y x))))

simplify1.1s

Counts
60 → 60
Iterations
IterNodes
done5001
21005
1288
0101

prune355.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y x))
0.5b
(cbrt (+ y x))
1.4b
(+ (* x y) (* (* z (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (+ y x))))
20.3b
(sqrt (+ (* x y) (* (* z (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (+ y x)))))

rewrite34.0ms

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×cbrt-div flip3-+ add-cbrt-cube add-exp-log flip-+
3×sqrt-prod
2×pow1/3 sqrt-div distribute-lft-out
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
6.0ms
(cbrt (+ y x))
6.0ms
(cbrt (+ y x))
13.0ms
(+ (* x y) (* (* z (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (+ y x))))
7.0ms
(sqrt (+ (* x y) (* (* z (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (+ y x)))))

series602.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (+ y x))
185.0ms
(cbrt (+ y x))
72.0ms
(+ (* x y) (* (* z (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (+ y x))))
194.0ms
(sqrt (+ (* x y) (* (* z (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (+ y x)))))

simplify2.9s

Counts
66 → 66
Iterations
IterNodes
done5000
34248
2956
1295
0116

prune526.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.3b

localize42.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (* x y) (* z (+ y x)))
1.4b
(+ (* x y) (* z (+ y x)))
20.3b
(sqrt (+ (* x y) (* z (+ y x))))
20.3b
(sqrt (+ (* x y) (* z (+ y x))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×associate-+r+ flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+
2×distribute-rgt-in +-commutative rem-sqrt-square sum-log distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 56
Calls
4 calls:
13.0ms
(+ (* x y) (* z (+ y x)))
13.0ms
(+ (* x y) (* z (+ y x)))
12.0ms
(sqrt (+ (* x y) (* z (+ y x))))
18.0ms
(sqrt (+ (* x y) (* z (+ y x))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* x y) (* z (+ y x)))
49.0ms
(+ (* x y) (* z (+ y x)))
172.0ms
(sqrt (+ (* x y) (* z (+ y x))))
162.0ms
(sqrt (+ (* x y) (* z (+ y x))))

simplify2.4s

Counts
68 → 68
Iterations
IterNodes
done5069
33002
2608
1189
067

prune565.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 21.3b

regimes403.0ms

Accuracy

0% (0.2b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s8001×body80nan
644.0ms8000×body80valid