Details

Time bar (total: 4.1s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify7.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize6.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ (- x y) (* (* x 2.0) y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/l*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg div-sub clear-num associate-/r* flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
37.0ms
(/ (- x y) (* (* x 2.0) y))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (- x y) (* (* x 2.0) y))

simplify27.0ms

Counts
33 → 33

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))
0.2b
(/ 1 (* 2.0 y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log
8×*-un-lft-identity
7×add-cbrt-cube
6×add-sqr-sqrt
5×pow1 div-inv
4×add-cube-cbrt div-exp distribute-lft-out-- add-log-exp
3×times-frac prod-exp associate-/l*
2×cbrt-undiv rec-exp pow-flip 1-exp
1×sub-neg flip3-- frac-2neg diff-log pow-prod-down clear-num associate-/r* frac-sub flip-- cbrt-unprod inv-pow difference-of-squares
Counts
2 → 46
Calls
2 calls:
34.0ms
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))
12.0ms
(/ 1 (* 2.0 y))

series55.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))
22.0ms
(/ 1 (* 2.0 y))

simplify28.0ms

Counts
52 → 52

prune80.0ms

Pruning

4 alts after pruning (2 fresh and 2 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))))

rewrite274.0ms

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--
9×frac-times pow1/3
7×difference-of-squares
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 147
Calls
4 calls:
193.0ms
(* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))
23.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
27.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
23.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

series1.6s

Counts
4 → 12
Calls
4 calls:
405.0ms
(* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))
393.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
387.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
391.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

simplify53.0ms

Counts
159 → 159

prune329.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
0.2b
(/ 1 (* 2.0 y))
0.2b
(/ 1 (* 2.0 y))
0.2b
(* (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
86×sqrt-prod
77×*-un-lft-identity
54×div-inv
52×distribute-lft-out--
40×add-sqr-sqrt
33×swap-sqr
28×add-exp-log
27×sqrt-div
26×pow1
17×add-cube-cbrt
16×add-cbrt-cube
11×associate-*r* associate-*l*
9×frac-times flip3-- sqrt-pow1 pow1/2 frac-sub flip--
8×div-exp
7×prod-exp
6×times-frac associate-/l*
5×pow-prod-down pow-prod-up difference-of-squares
4×cbrt-undiv rec-exp pow-flip 1-exp add-log-exp unswap-sqr
3×associate-*r/ associate-*l/ pow-sqr cbrt-unprod
2×frac-2neg clear-num associate-/r* inv-pow
1×pow2 rem-sqrt-square pow-plus sqrt-unprod rem-square-sqrt *-commutative
Counts
4 → 176
Calls
4 calls:
45.0ms
(sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
13.0ms
(/ 1 (* 2.0 y))
13.0ms
(/ 1 (* 2.0 y))
198.0ms
(* (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))

series207.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
17.0ms
(/ 1 (* 2.0 y))
21.0ms
(/ 1 (* 2.0 y))
35.0ms
(* (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))

simplify81.0ms

Counts
188 → 188

prune278.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes58.0ms

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

sample501.0ms

Algorithm
intervals
Results
315.0ms8001×body80valid