Details

Time bar (total: 24.8s)

sample70.0ms

Algorithm
intervals
Results
19.0ms207×body80valid
11.0ms32×body1280valid
9.0ms33×body640valid
4.0ms11×body2560valid
3.0ms13×body320valid
2.0ms14×body160valid

simplify14.9s

Counts
1 → 1
Iterations

Useful iterations: 4 (485.0ms)

IterNodesCost
09243
123243
277139
3259123
4188883
done500183

prune24.0ms

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)

rewrite21.0ms

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/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 24
Calls
1 calls:
20.0ms
(* (- x z) y)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (- x z) y)

simplify4.4s

Counts
27 → 27
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0514220
11143768
24383768
347143688
done50003688

prune139.0ms

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
(* (- (* x (* x x)) (* (* z z) z)) y)
34.2b
(/ (* (- (* x (* x x)) (* (* z z) z)) y) (+ (* x x) (+ (* z z) (* x z))))

rewrite233.0ms

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
expm1-log1p-u associate-*l* associate-*l/ log1p-expm1-u
associate-/r* times-frac flip3-- associate-*r* flip--
difference-cubes cbrt-undiv flip3-+ cube-unmult div-exp pow3 prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
+-commutative clear-num sum-log sub-neg fma-def frac-2neg distribute-rgt-out fma-neg diff-log prod-diff pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 82
Calls
4 calls:
25.0ms
(- (* x (* x x)) (* (* z z) z))
6.0ms
(+ (* z z) (* x z))
115.0ms
(* (- (* x (* x x)) (* (* z z) z)) y)
84.0ms
(/ (* (- (* x (* x x)) (* (* z z) z)) y) (+ (* x x) (+ (* z z) (* x z))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (* x (* x x)) (* (* z z) z))
34.0ms
(+ (* z z) (* x z))
87.0ms
(* (- (* x (* x x)) (* (* z z) z)) y)
110.0ms
(/ (* (- (* x (* x x)) (* (* z z) z)) y) (+ (* x x) (+ (* z z) (* x z))))

simplify2.2s

Counts
94 → 94
Iterations

Useful iterations: done (2.2s)

IterNodesCost
014833036
145028146
2275527731
done500027721

prune441.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes156.0ms

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 (1.0ms)

IterNodesCost
0583
1683
done683

end0.0ms

sample1.8s

Algorithm
intervals
Results
652.0ms950×body1280valid
436.0ms7037×body80valid
178.0ms845×body640valid
99.0ms517×body320valid
83.0ms564×body160valid
73.0ms220×body2560valid