Details

Time bar (total: 11.1s)

sample79.0ms

Algorithm
intervals
Results
26.0ms207×body80valid
12.0ms35×body1280valid
9.0ms33×body640valid
4.0ms11×body2560valid
3.0ms17×body320valid
1.0msbody160valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 5 (1.3s)

IterNodesCost
09243
122243
265203
3172163
4612124
5400083
done500083

prune19.0ms

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
(* (- x z) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity associate-*l*
pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
associate-*l/
flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 22
Calls
1 calls:
19.0ms
(* (- x z) y)

series46.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (- x z) y)

simplify936.0ms

Counts
25 → 25
Iterations

Useful iterations: done (934.0ms)

IterNodesCost
0493894
11103442
24403442
done50003362

prune98.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite207.0ms

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-*r* associate-*r/
associate-/r* sub-neg times-frac flip3-- associate-*l* flip--
distribute-rgt-in difference-cubes cbrt-undiv distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
+-commutative clear-num sum-log frac-2neg distribute-rgt-out diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 75
Calls
4 calls:
22.0ms
(- (* x (* x x)) (* z (* z z)))
6.0ms
(+ (* z z) (* x z))
101.0ms
(* y (- (* x (* x x)) (* z (* z z))))
75.0ms
(/ (* y (- (* x (* x x)) (* z (* z z)))) (+ (* x x) (+ (* z z) (* x z))))

series500.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (* x (* x x)) (* z (* z z)))
48.0ms
(+ (* z z) (* x z))
148.0ms
(* y (- (* x (* x x)) (* z (* z z))))
214.0ms
(/ (* y (- (* x (* x x)) (* z (* z z)))) (+ (* x x) (+ (* z z) (* x z))))

simplify2.8s

Counts
87 → 87
Iterations

Useful iterations: done (2.8s)

IterNodesCost
013831074
145626589
2277426429
done500126189

prune451.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes151.0ms

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

sample1.8s

Algorithm
intervals
Results
640.0ms7036×body80valid
309.0ms976×body1280valid
238.0ms933×body640valid
112.0ms220×body2560valid
93.0ms594×body320valid
38.0ms374×body160valid