Details

Time bar (total: 10.6s)

sample25.0ms

Algorithm
intervals
Results
10.0ms303×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
285
done85

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x y) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
16.0ms
(- (* x y) x)

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(- (* x y) x)

simplify3.4s

Counts
15 → 15
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
026128
161125
2168111
3480109
41131109
53592109
done5001109

prune35.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y (* x y)) x)
0.1b
(* y (* x y))
1.9b
(* x (- (* y (* x y)) x))
29.2b
(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
5×prod-exp cbrt-unprod
4×associate-*r/ associate-*r* pow-prod-down
3×sub-neg flip3-- times-frac associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r/ *-commutative associate-/l/
1×frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 79
Calls
4 calls:
21.0ms
(- (* y (* x y)) x)
17.0ms
(* y (* x y))
86.0ms
(* x (- (* y (* x y)) x))
62.0ms
(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

series412.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* y (* x y)) x)
31.0ms
(* y (* x y))
144.0ms
(* x (- (* y (* x y)) x))
201.0ms
(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

simplify1.7s

Counts
91 → 91
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01251211
13121170
210801008
done5000977

prune247.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* x y) x))
0.6b
(cbrt (+ (* x y) x))
3.4b
(/ (- (* y (* x y)) x) (cbrt (+ (* x y) x)))
5.2b
(* (/ x (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))) (/ (- (* y (* x y)) x) (cbrt (+ (* x y) x))))

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
46×times-frac
36×add-cube-cbrt *-un-lft-identity
29×cbrt-prod
27×add-exp-log
24×associate-*r*
20×cbrt-div
19×add-cbrt-cube
15×associate-*l*
12×associate-/r/
10×flip3-+ flip-+
8×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1 associate-/r* unswap-sqr
5×frac-times
4×add-log-exp
3×associate-*r/ associate-*l/ div-inv associate-/l*
2×pow1/3 associate-/l/
1×flip3-- frac-2neg div-sub pow-prod-down clear-num *-commutative flip--
Counts
4 → 139
Calls
4 calls:
13.0ms
(cbrt (+ (* x y) x))
12.0ms
(cbrt (+ (* x y) x))
75.0ms
(/ (- (* y (* x y)) x) (cbrt (+ (* x y) x)))
217.0ms
(* (/ x (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))) (/ (- (* y (* x y)) x) (cbrt (+ (* x y) x))))

series460.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (+ (* x y) x))
109.0ms
(cbrt (+ (* x y) x))
96.0ms
(/ (- (* y (* x y)) x) (cbrt (+ (* x y) x)))
166.0ms
(* (/ x (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))) (/ (- (* y (* x y)) x) (cbrt (+ (* x y) x))))

simplify2.3s

Counts
151 → 151
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02574417
17624276
227243648
done50013512

prune706.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

end0.0ms

sample632.0ms

Algorithm
intervals
Results
295.0ms9125×body80valid