Details

Time bar (total: 4.0s)

sample14.0ms

Algorithm
intervals
Results
5.0ms355×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
1102
2122
3122
done122

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
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
Counts
1 → 21
Calls
1 calls:
6.0ms
(- x (* y y))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(- x (* y y))

simplify154.0ms

Counts
24 → 24
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
097100
128888
2100887
3445572
4500172
done500172

prune43.0ms

Pruning

2 alts after pruning (1 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)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
swap-sqr associate-*r* associate-*l* difference-of-squares
add-exp-log
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
30.0ms
(* (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)))

series1.4s

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
280.0ms
(cbrt (- x (* y y)))
474.0ms
(cbrt (- x (* y y)))
275.0ms
(cbrt (- x (* y y)))

simplify141.0ms

Counts
113 → 113
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0292940
11010886
24601838
35001832
done5001832

prune258.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
12×add-sqr-sqrt
add-cube-cbrt cbrt-div *-un-lft-identity
pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
4 → 64
Calls
4 calls:
3.0ms
(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:
286.0ms
(cbrt (- x (* y y)))
269.0ms
(cbrt (- x (* y y)))
272.0ms
(cbrt (- x (* y y)))
271.0ms
(cbrt (- x (* y y)))

simplify151.0ms

Counts
76 → 76
Iterations

Useful iterations: 4 (145.0ms)

IterNodesCost
0161528
1391496
21256484
34548476
45001472
done5001472

prune273.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

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

sample348.0ms

Algorithm
intervals
Results
141.0ms10712×body80valid