Details

Time bar (total: 11.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify17.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
39.0ms
(/ (+ x y) (- x y))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(/ (+ x y) (- x y))

simplify753.0ms

Counts
48 → 48

prune119.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- x y) (+ x y)))
0.0b
(/ (- x y) (+ x y))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
31.0ms
(/ 1 (/ (- x y) (+ x y)))
38.0ms
(/ (- x y) (+ x y))

series206.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(/ 1 (/ (- x y) (+ x y)))
88.0ms
(/ (- x y) (+ x y))

simplify947.0ms

Counts
180 → 180

prune348.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 57
Calls
4 calls:
8.0ms
(cbrt (- x y))
9.0ms
(cbrt (+ x y))
9.0ms
(cbrt (+ x y))
16.0ms
(cbrt (+ x y))

series822.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(cbrt (- x y))
171.0ms
(cbrt (+ x y))
205.0ms
(cbrt (+ x y))
188.0ms
(cbrt (+ x y))

simplify768.0ms

Counts
69 → 69

prune305.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 95
Calls
4 calls:
54.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))

series798.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
184.0ms
(cbrt (+ x y))
224.0ms
(cbrt (+ x y))
179.0ms
(cbrt (+ x y))

simplify1.7s

Counts
107 → 107

prune373.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

18.9% (0.0b remaining)

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

bsearch0.0ms

simplify2.9s

end0.0ms

sample561.0ms

Algorithm
intervals
Results
241.0ms8000×body80valid