Details

Time bar (total: 2.7s)

sample15.0ms

Algorithm
intervals
Results
5.0ms355×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
1102
2102
done102

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×add-sqr-sqrt
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
1 → 13
Calls
1 calls:
5.0ms
(- x (* y y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(- x (* y y))

simplify85.0ms

Counts
16 → 16
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
07664
123959
264758
3242958
4500358
done500358

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
0.6b
(cbrt (- x (* y y)))
0.6b
(cbrt (- x (* y y)))
0.6b
(cbrt (- x (* y y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
32.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
3.0ms
(cbrt (- x (* y y)))
3.0ms
(cbrt (- x (* y y)))
3.0ms
(cbrt (- x (* y y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
329.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
270.0ms
(cbrt (- x (* y y)))
271.0ms
(cbrt (- x (* y y)))
271.0ms
(cbrt (- x (* y y)))

simplify146.0ms

Counts
105 → 105
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0283900
1966849
24423798
35002793
done5002793

prune240.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* y y) (* y y))
1.7b
(- (* x x) (* (* y y) (* y y)))
27.8b
(/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
114×pow1
36×pow-prod-up
23×pow-prod-down
22×pow-sqr
18×pow-plus
17×add-exp-log add-cbrt-cube
13×pow2
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
8×prod-exp cbrt-unprod
5×add-log-exp difference-of-squares
4×associate-/l*
3×associate-/r*
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative flip-+ div-inv unswap-sqr
Counts
3 → 112
Calls
3 calls:
28.0ms
(* (* y y) (* y y))
8.0ms
(- (* x x) (* (* y y) (* y y)))
28.0ms
(/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (* y y) (* y y))
63.0ms
(- (* x x) (* (* y y) (* y y)))
81.0ms
(/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y)))

simplify57.0ms

Counts
121 → 121
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0353653
11626545
25001530
done5001530

prune159.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes55.0ms

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
042
142
done42

end0.0ms

sample381.0ms

Algorithm
intervals
Results
153.0ms10712×body80valid