Details

Time bar (total: 16.1s)

sample24.0ms

Algorithm
intervals
Results
10.0ms291×body80valid

simplify4.6s

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite65.0ms

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:
64.0ms
(- (+ x y) (* x y))

series27.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(- (+ x y) (* x y))

simplify589.0ms

Counts
17 → 17

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))))

rewrite250.0ms

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:
19.0ms
(cbrt (- (+ x y) (* x y)))
21.0ms
(cbrt (- (+ x y) (* x y)))
23.0ms
(cbrt (- (+ x y) (* x y)))
184.0ms
(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

series498.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (- (+ x y) (* x y)))
114.0ms
(cbrt (- (+ x y) (* x y)))
118.0ms
(cbrt (- (+ x y) (* x y)))
155.0ms
(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

simplify635.0ms

Counts
99 → 99

prune288.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.2b
(* (* x y) (* x y))
9.0b
(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
26.9b
(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
31×*-un-lft-identity
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
18×pow-prod-down
17×add-cube-cbrt
12×times-frac
9×prod-exp cbrt-unprod
7×flip3-+ swap-sqr flip-+
6×distribute-lft-out add-log-exp
5×associate-*r* associate-*l* pow-sqr pow-prod-up difference-of-squares
4×frac-times associate-/l*
3×pow-plus associate-/r*
2×pow2 distribute-rgt-in flip3-- distribute-lft-in associate-*r/ associate-*l/ associate--l+ associate-/r/ *-commutative flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 125
Calls
4 calls:
36.0ms
(* (+ x y) (+ x y))
32.0ms
(* (* x y) (* x y))
46.0ms
(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
105.0ms
(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (+ x y) (+ x y))
50.0ms
(* (* x y) (* x y))
64.0ms
(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
97.0ms
(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

simplify1.3s

Counts
137 → 137

prune233.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (+ x y) (* x y)))
0.0b
(- (+ x y) (* x y))
0.0b
(- (+ x y) (* x y))
0.3b
(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

rewrite354.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
14×sqrt-div add-log-exp
13×add-cube-cbrt *-un-lft-identity
9×flip3-- sqrt-pow1 pow1/2 flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×frac-times diff-log unswap-sqr
3×pow-prod-down pow-sqr
2×sub-neg associate-*r/ associate-*l/ associate--l+ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
31.0ms
(sqrt (- (+ x y) (* x y)))
47.0ms
(- (+ x y) (* x y))
39.0ms
(- (+ x y) (* x y))
233.0ms
(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

series223.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (- (+ x y) (* x y)))
26.0ms
(- (+ x y) (* x y))
18.0ms
(- (+ x y) (* x y))
97.0ms
(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

simplify641.0ms

Counts
112 → 112

prune216.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.9s

end0.0ms

sample707.0ms

Algorithm
intervals
Results
295.0ms9124×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid