Details

Time bar (total: 26.4s)

sample30.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5001
83929
71054
6315
5117
455
341
228
117
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
51×add-sqr-sqrt
30×times-frac
23×add-cube-cbrt
21×distribute-lft-out--
14×difference-of-squares
12×prod-diff
10×distribute-lft-out
7×add-log-exp
6×associate-/r*
5×associate-/l*
4×add-cbrt-cube add-exp-log
3×flip3-- fma-neg flip--
2×expm1-log1p-u pow1 diff-log associate-/r/ log1p-expm1-u associate-/l/
1×cbrt-undiv clear-num sum-log sub-neg frac-2neg div-sub div-exp div-inv associate--r+
Counts
2 → 94
Calls
2 calls:
14.0ms
(- 2.0 (+ x y))
40.0ms
(/ (- x y) (- 2.0 (+ x y)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(- 2.0 (+ x y))
63.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.7s

Counts
100 → 100
Iterations
IterNodes
done5001
21708
1383
0154

prune341.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
1372×*-un-lft-identity
946×times-frac
854×add-sqr-sqrt
588×prod-diff
526×add-cube-cbrt
337×distribute-lft-out--
165×distribute-lft-out
162×difference-of-squares
106×associate-/r/
55×flip3-- flip--
53×div-inv
27×fma-neg
12×associate-/r*
11×add-log-exp
8×add-cbrt-cube add-exp-log
6×associate-/l*
4×expm1-log1p-u pow1 log1p-expm1-u
3×distribute-rgt-out-- diff-log
2×cbrt-undiv clear-num sub-neg frac-2neg div-exp
1×sum-log frac-sub associate--r+ sub-div
Counts
4 → 756
Calls
4 calls:
14.0ms
(- 2.0 (+ x y))
197.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
24.0ms
(/ x (- 2.0 (+ x y)))
28.0ms
(/ y (- 2.0 (+ x y)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- 2.0 (+ x y))
66.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
49.0ms
(/ x (- 2.0 (+ x y)))
48.0ms
(/ y (- 2.0 (+ x y)))

simplify2.3s

Counts
768 → 768
Iterations
IterNodes
done5000
24905
11418
0616

prune2.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
0.0b
(/ (- 2.0 (+ x y)) x)
0.0b
(/ y (- 2.0 (+ x y)))
0.3b
(/ 1 (/ (- 2.0 (+ x y)) x))

rewrite835.0ms

Algorithm
rewrite-expression-head
Rules
4475×times-frac
4436×*-un-lft-identity
3073×add-sqr-sqrt
2124×add-cube-cbrt
1704×prod-diff
923×distribute-lft-out--
468×difference-of-squares
459×distribute-lft-out
179×div-inv
170×associate-/r/
74×flip3-- flip--
71×fma-neg
31×associate-/r*
19×add-exp-log
13×add-cbrt-cube
12×associate-/l*
9×div-exp
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u
3×clear-num frac-2neg
2×rec-exp 1-exp associate-/l/
1×sub-neg diff-log div-sub frac-sub pow-flip inv-pow
Counts
4 → 2006
Calls
4 calls:
423.0ms
(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
56.0ms
(/ (- 2.0 (+ x y)) x)
24.0ms
(/ y (- 2.0 (+ x y)))
36.0ms
(/ 1 (/ (- 2.0 (+ x y)) x))

series300.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (/ 1 (/ (- 2.0 (+ x y)) x)) (/ y (- 2.0 (+ x y))))
34.0ms
(/ (- 2.0 (+ x y)) x)
62.0ms
(/ y (- 2.0 (+ x y)))
71.0ms
(/ 1 (/ (- 2.0 (+ x y)) x))

simplify2.5s

Counts
2018 → 2018
Iterations
IterNodes
done5000
12985
01322

prune8.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize207.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))
31.6b
(fma (- (/ (cbrt y) (cbrt (- 2.0 (+ x y))))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))) (* (/ (cbrt y) (cbrt (- 2.0 (+ x y)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
18×cbrt-prod
13×add-sqr-sqrt
7×add-cube-cbrt
6×cbrt-div distribute-lft-out--
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out difference-of-squares
1×fma-udef
Counts
4 → 64
Calls
4 calls:
16.0ms
(cbrt (- 2.0 (+ x y)))
13.0ms
(cbrt (- 2.0 (+ x y)))
15.0ms
(cbrt (- 2.0 (+ x y)))
0.0ms
(fma (- (/ (cbrt y) (cbrt (- 2.0 (+ x y))))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))) (* (/ (cbrt y) (cbrt (- 2.0 (+ x y)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))))))

series860.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (- 2.0 (+ x y)))
111.0ms
(cbrt (- 2.0 (+ x y)))
132.0ms
(cbrt (- 2.0 (+ x y)))
486.0ms
(fma (- (/ (cbrt y) (cbrt (- 2.0 (+ x y))))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))) (* (/ (cbrt y) (cbrt (- 2.0 (+ x y)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))))))

simplify1.1s

Counts
76 → 76
Iterations
IterNodes
done5001
21252
1362
0138

prune677.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample805.0ms

Algorithm
intervals
Results
608.0ms7999×body80valid
0.0ms1×body640valid