Details

Time bar (total: 8.5s)

sample65.0ms

Algorithm
intervals
Results
14.0ms207×body80valid
11.0ms35×body1280valid
8.0ms32×body640valid
4.0ms11×body2560valid
3.0ms17×body320valid
1.0msbody160valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
09243
120243
264124
317983
4134483
done500183

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite33.0ms

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))

series65.0ms

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

simplify1.4s

Counts
29 → 29
Iterations

Useful iterations: 3 (500.0ms)

IterNodesCost
0524430
11253897
23833897
316993817
done50023817

prune123.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

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))))

rewrite240.0ms

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:
40.0ms
(- (* x (* x x)) (* z (* z z)))
6.0ms
(+ (* z z) (* x z))
91.0ms
(* (- (* x (* x x)) (* z (* z z))) y)
97.0ms
(/ (* (- (* x (* x x)) (* z (* z z))) y) (+ (* x x) (+ (* z z) (* x z))))

series376.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (* x (* x x)) (* z (* z z)))
52.0ms
(+ (* z z) (* x z))
96.0ms
(* (- (* x (* x x)) (* z (* z z))) y)
131.0ms
(/ (* (- (* x (* x x)) (* z (* z z))) y) (+ (* x x) (+ (* z z) (* x z))))

simplify2.4s

Counts
83 → 83
Iterations

Useful iterations: 2 (721.0ms)

IterNodesCost
013529942
142825417
2280825017
done500125017

prune388.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes136.0ms

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
0583
1683
done683

end0.0ms

sample2.0s

Algorithm
intervals
Results
939.0ms7036×body80valid
262.0ms973×body1280valid
241.0ms931×body640valid
92.0ms220×body2560valid
76.0ms594×body320valid
34.0ms379×body160valid