Details

Time bar (total: 14.2s)

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/l* distribute-lft-out-- difference-of-squares
associate-/r*
add-cbrt-cube add-exp-log
associate-/r/ associate-/l/
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 49
Calls
1 calls:
41.0ms
(/ (- x y) (+ x y))

series101.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(/ (- x y) (+ x y))

simplify1.9s

Counts
52 → 52
Iterations
IterNodes
done5000
33335
2600
1199
081

prune181.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
associate-/r*
add-cbrt-cube add-exp-log distribute-lft-out--
associate-/l*
add-log-exp
difference-of-squares
expm1-log1p-u pow1 distribute-rgt-out-- insert-posit16 log1p-expm1-u
cbrt-undiv clear-num frac-2neg div-exp
sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 445
Calls
3 calls:
18.0ms
(/ x (+ x y))
16.0ms
(/ y (+ x y))
75.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series223.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ x (+ x y))
50.0ms
(/ y (+ x y))
120.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.1s

Counts
454 → 454
Iterations
IterNodes
done5010
22431
1976
0425

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (+ x y)) (/ y (+ x y)))
0.0b
(/ y (+ x y))
0.0b
(log1p (expm1 (- (/ x (+ x y)) (/ y (+ x y)))))
0.5b
(expm1 (- (/ x (+ x y)) (/ y (+ x y))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
565×*-un-lft-identity
472×times-frac
324×prod-diff
323×add-sqr-sqrt
311×add-cube-cbrt
119×distribute-lft-out
80×associate-/r/
40×flip3-+ flip-+ div-inv
18×fma-neg
distribute-lft-out--
add-cbrt-cube add-exp-log add-log-exp
log1p-expm1-u
expm1-log1p-u pow1 associate-/r* insert-posit16 difference-of-squares
distribute-rgt-out-- associate-/l*
cbrt-undiv log1p-udef expm1-log1p clear-num sub-neg frac-2neg flip3-- diff-log div-exp log1p-expm1 frac-sub flip-- expm1-udef sub-div
Counts
4 → 433
Calls
4 calls:
52.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
8.0ms
(/ y (+ x y))
0.0ms
(log1p (expm1 (- (/ x (+ x y)) (/ y (+ x y)))))
0.0ms
(expm1 (- (/ x (+ x y)) (/ y (+ x y))))

series374.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
42.0ms
(/ y (+ x y))
118.0ms
(log1p (expm1 (- (/ x (+ x y)) (/ y (+ x y)))))
132.0ms
(expm1 (- (/ x (+ x y)) (/ y (+ x y))))

simplify2.0s

Counts
445 → 445
Iterations
IterNodes
done5001
22296
1983
0435

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
131×*-un-lft-identity
84×times-frac
83×add-sqr-sqrt
53×add-cube-cbrt
24×distribute-lft-out
18×fma-neg prod-diff
15×associate-/l* distribute-lft-out-- difference-of-squares
12×associate-/r*
10×add-cbrt-cube add-exp-log associate-/r/
add-log-exp associate-/l/
flip3-+ flip-+ div-inv
expm1-log1p-u pow1 flip3-- insert-posit16 log1p-expm1-u flip--
cbrt-undiv clear-num frac-2neg div-sub div-exp frac-sub
associate-*l/
frac-times sub-neg diff-log associate-*r/ sub-div
Counts
4 → 202
Calls
4 calls:
59.0ms
(- (/ x (+ x y)) (* (/ (- x y) (+ x y)) (/ y (- x y))))
31.0ms
(/ (- x y) (+ x y))
34.0ms
(/ (- x y) (+ x y))
22.0ms
(/ (- x y) (+ x y))

series382.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(- (/ x (+ x y)) (* (/ (- x y) (+ x y)) (/ y (- x y))))
96.0ms
(/ (- x y) (+ x y))
76.0ms
(/ (- x y) (+ x y))
83.0ms
(/ (- x y) (+ x y))

simplify1.3s

Counts
214 → 214
Iterations
IterNodes
done5001
21531
1415
0164

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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
done9
19
08

end0.0ms

sample704.0ms

Algorithm
intervals
Results
543.0ms8000×body80valid