Details

Time bar (total: 8.7s)

sample37.0ms

Algorithm
intervals
Results
8.0ms207×body80valid
7.0ms33×body640valid
5.0ms32×body1280valid
2.0ms11×body2560valid
1.0ms13×body320valid
1.0ms14×body160valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 4 (373.0ms)

IterNodesCost
09243
122243
268164
3210123
4165883
done500083

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity associate-*r*
pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 26
Calls
1 calls:
32.0ms
(* y (- x z))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* y (- x z))

simplify1.5s

Counts
29 → 29
Iterations

Useful iterations: 3 (495.0ms)

IterNodesCost
0524430
11253897
23833897
316993817
done50023817

prune137.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* x (* x x)) (* z (* z z)))
1.5b
(+ (* z z) (* x z))
8.6b
(* (- (* x (* x x)) (* z (* z z))) y)
34.2b
(/ (* (- (* x (* x x)) (* z (* z z))) y) (+ (* x x) (+ (* z z) (* x z))))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt add-log-exp
pow1
cube-unmult associate-*l* associate-*l/
associate-/r* times-frac flip3-- associate-*r* flip--
difference-cubes cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
+-commutative clear-num sum-log sub-neg frac-2neg distribute-rgt-out diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 71
Calls
4 calls:
21.0ms
(- (* x (* x x)) (* z (* z z)))
7.0ms
(+ (* z z) (* x z))
133.0ms
(* (- (* x (* x x)) (* z (* z z))) y)
73.0ms
(/ (* (- (* x (* x x)) (* z (* z z))) y) (+ (* x x) (+ (* z z) (* x z))))

series275.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* x (* x x)) (* z (* z z)))
36.0ms
(+ (* z z) (* x z))
77.0ms
(* (- (* x (* x x)) (* z (* z z))) y)
105.0ms
(/ (* (- (* x (* x x)) (* z (* z z))) y) (+ (* x x) (+ (* z z) (* x z))))

simplify2.2s

Counts
83 → 83
Iterations

Useful iterations: 2 (588.0ms)

IterNodesCost
013529942
142825417
2280825017
done500125017

prune490.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes175.0ms

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
0583
1683
done683

end0.0ms

sample1.7s

Algorithm
intervals
Results
574.0ms7037×body80valid
355.0ms950×body1280valid
171.0ms845×body640valid
142.0ms517×body320valid
67.0ms220×body2560valid
62.0ms564×body160valid