Details

Time bar (total: 25.2s)

sample26.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1179
2289
3419
4559
51179
63169
710559
839199
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
65.0ms
(/ (- x y) (- 2.0 (+ x y)))

series413.0ms

Counts
1 → 3
Calls
1 calls:
413.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify621.0ms

Counts
63 → 63
Iterations

Useful iterations: done (619.0ms)

IterNodesCost
01141010
1289965
21052925
done5000923

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
54.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
4.0ms
(cbrt (- x y))
5.0ms
(cbrt (- x y))
5.0ms
(cbrt (- x y))

series792.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
208.0ms
(cbrt (- x y))
202.0ms
(cbrt (- x y))
204.0ms
(cbrt (- x y))

simplify794.0ms

Counts
121 → 121
Iterations

Useful iterations: done (789.0ms)

IterNodesCost
01351434
12951320
210331262
done50001209

prune356.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt 2.0) (sqrt (+ x y)))
0.0b
(+ (sqrt 2.0) (sqrt (+ x y)))
0.1b
(/ (/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y)))) (- (sqrt 2.0) (sqrt (+ x y))))
0.3b
(/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y))))

rewrite432.0ms

Algorithm
rewrite-expression-head
Rules
1074×*-un-lft-identity
720×times-frac
666×add-sqr-sqrt
603×sqrt-prod
292×distribute-lft-out
225×difference-of-squares
216×add-cube-cbrt
187×distribute-lft-out--
42×prod-diff
41×associate-/l*
26×associate-/r/
16×associate-/r*
13×flip3-+ flip-+ div-inv
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×fma-def fma-neg
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×flip3-- div-sub flip-- associate-/l/
2×frac-2neg clear-num
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 577
Calls
4 calls:
49.0ms
(- (sqrt 2.0) (sqrt (+ x y)))
33.0ms
(+ (sqrt 2.0) (sqrt (+ x y)))
167.0ms
(/ (/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y)))) (- (sqrt 2.0) (sqrt (+ x y))))
95.0ms
(/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y))))

series15.7s

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (sqrt 2.0) (sqrt (+ x y)))
82.0ms
(+ (sqrt 2.0) (sqrt (+ x y)))
14.6s
(/ (/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y)))) (- (sqrt 2.0) (sqrt (+ x y))))
1.0s
(/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y))))

simplify893.0ms

Counts
589 → 589
Iterations

Useful iterations: done (846.0ms)

IterNodesCost
050519943
1137417828
done500017321

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
189
done89

end0.0ms

sample691.0ms

Algorithm
intervals
Results
403.0ms8000×body80valid