Details

Time bar (total: 7.3s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify124.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize11.0ms

Local error

Found 1 expressions with local error:

15.6b
(/ (- x y) (* (* x 2.0) y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
times-frac associate-/l*
cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
associate-/l/ distribute-lft-out-- difference-of-squares
pow1 flip3-- frac-2neg div-sub clear-num associate-/r* flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
50.0ms
(/ (- x y) (* (* x 2.0) y))

series97.0ms

Counts
1 → 3
Calls
1 calls:
97.0ms
(/ (- x y) (* (* x 2.0) y))

simplify543.0ms

Counts
33 → 33

prune66.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
div-inv distribute-lft-out--
add-sqr-sqrt add-log-exp
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- difference-of-squares
Counts
1 → 18
Calls
1 calls:
41.0ms
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))

simplify925.0ms

Counts
21 → 21

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
100×cbrt-prod
83×*-un-lft-identity
60×div-inv distribute-lft-out--
37×add-sqr-sqrt
33×cbrt-div
31×swap-sqr
15×add-cube-cbrt
11×pow1 flip3-- associate-*r* associate-*l* frac-sub flip--
frac-times pow1/3
difference-of-squares
add-exp-log
add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ associate-*l/
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 147
Calls
4 calls:
280.0ms
(* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))
33.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
26.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
29.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

series2.0s

Counts
4 → 12
Calls
4 calls:
505.0ms
(* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))
537.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
468.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
506.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

simplify609.0ms

Counts
159 → 159

prune397.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (* x 2.0))
6.7b
(/ (/ (- x y) (* x 2.0)) y)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
34×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
cbrt-undiv div-exp
div-inv distribute-lft-out-- difference-of-squares
associate-/r*
div-sub associate-/l/
pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
flip3-- flip--
Counts
2 → 85
Calls
2 calls:
36.0ms
(/ (- x y) (* x 2.0))
31.0ms
(/ (/ (- x y) (* x 2.0)) y)

series116.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- x y) (* x 2.0))
65.0ms
(/ (/ (- x y) (* x 2.0)) y)

simplify521.0ms

Counts
91 → 91

prune190.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify32.0ms

end0.0ms

sample963.0ms

Algorithm
intervals
Results
690.0ms8000×body80valid