Details

Time bar (total: 3.1s)

sample18.0ms

Algorithm
intervals
Results
8.0ms301×body80valid

simplify156.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
2×diff-log
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity associate--l+ sum-log add-cbrt-cube flip--
Counts
1 → 14
Calls
1 calls:
45.0ms
(- (+ x y) (* x y))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(- (+ x y) (* x y))

simplify35.0ms

Counts
17 → 17

prune27.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
18.0ms
(cbrt (- (+ x y) (* x y)))
19.0ms
(cbrt (- (+ x y) (* x y)))
18.0ms
(cbrt (- (+ x y) (* x y)))
149.0ms
(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

series379.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (- (+ x y) (* x y)))
85.0ms
(cbrt (- (+ x y) (* x y)))
87.0ms
(cbrt (- (+ x y) (* x y)))
120.0ms
(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

simplify46.0ms

Counts
99 → 99

prune256.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

8.1b
(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
13.7b
(/ (* (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y)))) (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))) (* (cbrt (+ (+ x y) (* x y))) (cbrt (+ (+ x y) (* x y)))))
29.4b
(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))
29.4b
(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
9×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
3×difference-of-squares
2×pow1/3 associate--l+
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in times-frac diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 80
Calls
4 calls:
28.0ms
(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
158.0ms
(/ (* (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y)))) (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))) (* (cbrt (+ (+ x y) (* x y))) (cbrt (+ (+ x y) (* x y)))))
26.0ms
(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))
32.0ms
(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))

series606.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
290.0ms
(/ (* (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y)))) (cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))) (* (cbrt (+ (+ x y) (* x y))) (cbrt (+ (+ x y) (* x y)))))
134.0ms
(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))
138.0ms
(cbrt (- (* (+ x y) (+ x y)) (* (* x y) (* x y))))

simplify65.0ms

Counts
92 → 92

prune367.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample560.0ms

Algorithm
intervals
Results
256.0ms9143×body80valid
0.0ms3×body640valid
0.0ms1×body320valid