Details

Time bar (total: 14.5s)

sample23.0ms

Algorithm
intervals
Results
11.0ms468×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) (* y y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 11
Calls
1 calls:
13.0ms
(+ (* x x) (* y y))

series40.0ms

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

simplify4.0s

Counts
14 → 14
Iterations
IterNodes
done5000
34731
2639
1115
030

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
7.2b
(cbrt (+ (* x x) (* y y)))
7.2b
(cbrt (+ (* x x) (* y y)))
7.2b
(cbrt (+ (* x x) (* y y)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
52.0ms
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
9.0ms
(cbrt (+ (* x x) (* y y)))
5.0ms
(cbrt (+ (* x x) (* y y)))
5.0ms
(cbrt (+ (* x x) (* y y)))

series651.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
161.0ms
(cbrt (+ (* x x) (* y y)))
131.0ms
(cbrt (+ (* x x) (* y y)))
160.0ms
(cbrt (+ (* x x) (* y y)))

simplify848.0ms

Counts
99 → 99
Iterations
IterNodes
done5001
21154
1258
0102

prune515.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
2.3b
(- (* (* y y) (* y y)) (* (* x x) (* y y)))
7.8b
(* (* x x) (* y y))
43.3b
(/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
32×pow1
18×add-cbrt-cube pow-prod-down add-exp-log
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
11×add-log-exp
8×cube-unmult prod-exp cbrt-unprod
4×pow-plus pow3 sum-cubes pow-prod-up associate-/l*
3×associate-/r* flip3-+ flip-+
2×pow2 associate-+r+ sum-log sub-neg diff-log associate-/r/ pow-sqr associate-/l/
1×cbrt-undiv +-commutative clear-num associate-+r- frac-2neg flip3-- distribute-rgt-out-- div-exp associate-*r* associate-*l* *-commutative div-inv flip-- unswap-sqr
Counts
4 → 92
Calls
4 calls:
94.0ms
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
55.0ms
(- (* (* y y) (* y y)) (* (* x x) (* y y)))
25.0ms
(* (* x x) (* y y))
823.0ms
(/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))

series337.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
67.0ms
(- (* (* y y) (* y y)) (* (* x x) (* y y)))
44.0ms
(* (* x x) (* y y))
145.0ms
(/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))

simplify5.3s

Counts
104 → 104
Iterations
IterNodes
done5001
24590
1510
0156

prune477.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample797.0ms

Algorithm
intervals
Results
449.0ms14145×body80valid