Details

Time bar (total: 19.0s)

sample56.0ms

Algorithm
intervals
Results
16.0ms34×body1280valid
10.0ms202×body80valid
5.0ms30×body640valid
3.0ms23×body320valid
2.0ms10×body2560valid
1.0ms12×body160valid

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 5 (971.0ms)

IterNodesCost
0915
12213
26511
31709
46087
539905
done50005

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (- x z) y)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
associate-*l/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 22
Calls
1 calls:
44.0ms
(* (- x z) y)

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (- x z) y)

simplify5.9s

Counts
25 → 25
Iterations

Useful iterations: 3 (640.0ms)

IterNodesCost
049185
1110178
2431160
34801158
done5000158

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* y y))
0.0b
(- (+ (* x y) (* y y)) (* y z))
12.1b
(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite362.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
diff-log
associate--l+
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt sub-neg distribute-rgt-out *-un-lft-identity sum-log add-cbrt-cube distribute-lft-out--
flip3-- flip--
+-commutative associate--l- flip3-+ flip-+ difference-of-squares
Counts
3 → 47
Calls
3 calls:
9.0ms
(+ (* x y) (* y y))
77.0ms
(- (+ (* x y) (* y y)) (* y z))
274.0ms
(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series127.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (* x y) (* y y))
40.0ms
(- (+ (* x y) (* y y)) (* y z))
44.0ms
(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify1.2s

Counts
56 → 56
Iterations

Useful iterations: done (1.2s)

IterNodesCost
083877
1262712
21379577
done5001561

prune140.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

3.3b
(- (* x x) (* z z))
12.4b
(* (- (* x x) (* z z)) y)
17.7b
(/ (* (- (* x x) (* z z)) y) (+ x z))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt
pow1 add-log-exp
times-frac associate-*l* associate-*l/ associate-/r*
flip3-- associate-*r* flip--
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out difference-of-squares
sub-neg frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 61
Calls
3 calls:
17.0ms
(- (* x x) (* z z))
38.0ms
(* (- (* x x) (* z z)) y)
39.0ms
(/ (* (- (* x x) (* z z)) y) (+ x z))

series180.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- (* x x) (* z z))
61.0ms
(* (- (* x x) (* z z)) y)
85.0ms
(/ (* (- (* x x) (* z z)) y) (+ x z))

simplify1.8s

Counts
70 → 70
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0106977
1319944
22165792
done5001784

prune198.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x z) y)
0.3b
(pow (* (- x z) y) 3)
32.8b
(cbrt (pow (* (- x z) y) 3))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
*-un-lft-identity
pow1 add-exp-log cbrt-prod add-cbrt-cube
add-cube-cbrt
associate-*l/
associate-*l*
cube-div
pow-unpow flip3-- associate-*r* flip-- add-log-exp
cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
pow-to-exp pow1/3 *-commutative rem-cbrt-cube distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 65
Calls
3 calls:
52.0ms
(* (- x z) y)
21.0ms
(pow (* (- x z) y) 3)
5.0ms
(cbrt (pow (* (- x z) y) 3))

series224.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* (- x z) y)
89.0ms
(pow (* (- x z) y) 3)
96.0ms
(cbrt (pow (* (- x z) y) 3))

simplify1.5s

Counts
74 → 74
Iterations

Useful iterations: 2 (315.0ms)

IterNodesCost
0115797
1319662
21870620
done5001620

prune200.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample2.0s

Algorithm
intervals
Results
621.0ms978×body1280valid
551.0ms7003×body80valid
165.0ms897×body640valid
120.0ms628×body320valid
78.0ms358×body160valid
60.0ms206×body2560valid