Details

Time bar (total: 13.1s)

sample17.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify7.0ms

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

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:
21.0ms
(/ (- x y) (+ x y))

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(/ (- x y) (+ x y))

simplify1.8s

Counts
52 → 52
Iterations
IterNodes
done5003
32814
2572
1199
081

prune116.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite99.0ms

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:
11.0ms
(/ y (+ x y))
11.0ms
(/ x (+ x y))
60.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series193.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ y (+ x y))
46.0ms
(/ x (+ x y))
101.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.1s

Counts
454 → 454
Iterations
IterNodes
done5001
22473
1976
0425

prune946.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
114×*-un-lft-identity
77×add-sqr-sqrt
73×times-frac
72×add-cube-cbrt
54×prod-diff
20×distribute-lft-out
18×fma-neg
12×associate-/r/
associate-/r* add-cbrt-cube add-exp-log
flip3-+ flip-+ div-inv associate-/l* add-log-exp
expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
cbrt-undiv clear-num frac-2neg div-exp expm1-udef difference-of-squares
expm1-log1p sub-neg flip3-- diff-log flip-- distribute-lft-out-- associate--r-
Counts
4 → 175
Calls
4 calls:
0.0ms
(expm1 (log1p (/ y (+ x y))))
8.0ms
(/ y (+ x y))
8.0ms
(/ x (+ x y))
40.0ms
(- (/ x (+ x y)) (expm1 (log1p (/ y (+ x y)))))

series348.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(expm1 (log1p (/ y (+ x y))))
60.0ms
(/ y (+ x y))
54.0ms
(/ x (+ x y))
127.0ms
(- (/ x (+ x y)) (expm1 (log1p (/ y (+ x y)))))

simplify2.2s

Counts
187 → 187
Iterations
IterNodes
done5000
34707
21161
1416
0200

prune795.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (expm1 (log1p (log (exp (/ y (+ x y)))))))
0.0b
(/ x (+ x y))
1.2b
(log (exp (/ y (+ x y))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
129×*-un-lft-identity
86×add-sqr-sqrt
85×times-frac
81×add-cube-cbrt
54×prod-diff
23×distribute-lft-out
19×log-pow
18×exp-prod fma-neg
14×associate-/r/
associate-/r* add-cbrt-cube add-exp-log
flip3-+ flip-+ div-inv
associate-/l* add-log-exp
pow1
expm1-log1p-u insert-posit16 log1p-expm1-u
log-prod
cbrt-undiv clear-num frac-2neg div-exp difference-of-squares
sub-neg flip3-- diff-log rem-log-exp flip-- distribute-lft-out-- expm1-udef associate--r-
Counts
4 → 196
Calls
4 calls:
9.0ms
(/ y (+ x y))
52.0ms
(- (/ x (+ x y)) (expm1 (log1p (log (exp (/ y (+ x y)))))))
12.0ms
(/ x (+ x y))
19.0ms
(log (exp (/ y (+ x y))))

series272.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ y (+ x y))
122.0ms
(- (/ x (+ x y)) (expm1 (log1p (log (exp (/ y (+ x y)))))))
48.0ms
(/ x (+ x y))
56.0ms
(log (exp (/ y (+ x y))))

simplify2.4s

Counts
208 → 208
Iterations
IterNodes
done5000
34945
21275
1476
0243

prune674.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes65.0ms

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

sample648.0ms

Algorithm
intervals
Results
461.0ms8000×body80valid