Details

Time bar (total: 18.0s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×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:
24.0ms
(/ (- x y) (+ x y))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(/ (- x y) (+ x y))

simplify1.6s

Counts
52 → 52
Iterations
IterNodes
done5003
32814
2572
1199
081

prune149.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite199.0ms

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
8×associate-/r*
7×add-cbrt-cube add-exp-log distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×expm1-log1p-u pow1 distribute-rgt-out-- insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 445
Calls
3 calls:
16.0ms
(/ y (+ x y))
15.0ms
(/ x (+ x y))
131.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series222.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ y (+ x y))
62.0ms
(/ x (+ x y))
110.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.6s

Counts
454 → 454
Iterations
IterNodes
done5001
22473
1976
0425

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ (+ x y) x)
0.0b
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
0.4b
(/ 1 (/ (+ x y) x))

rewrite335.0ms

Algorithm
rewrite-expression-head
Rules
2373×times-frac
1990×*-un-lft-identity
1307×add-sqr-sqrt
1274×add-cube-cbrt
954×prod-diff
351×distribute-lft-out
137×div-inv
128×associate-/r/
55×flip3-+ flip-+
53×fma-neg
23×associate-/r*
19×add-exp-log
13×add-cbrt-cube
10×associate-/l* difference-of-squares
9×div-exp
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out--
3×clear-num frac-2neg
2×rec-exp 1-exp associate-/l/
1×sub-neg flip3-- diff-log frac-sub pow-flip flip-- inv-pow
Counts
4 → 1200
Calls
4 calls:
11.0ms
(/ y (+ x y))
18.0ms
(/ (+ x y) x)
177.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
31.0ms
(/ 1 (/ (+ x y) x))

series272.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(/ y (+ x y))
35.0ms
(/ (+ x y) x)
101.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
63.0ms
(/ 1 (/ (+ x y) x))

simplify2.9s

Counts
1212 → 1212
Iterations
IterNodes
done5000
24694
12151
0957

prune2.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

6.2b
(sqrt (/ x (+ x y)))
6.2b
(sqrt (/ x (+ x y)))
6.6b
(sqrt (/ y (+ x y)))
6.6b
(sqrt (/ y (+ x y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
60×*-un-lft-identity
52×times-frac
48×add-sqr-sqrt
36×add-cube-cbrt
12×distribute-lft-out
8×pow1 rem-sqrt-square associate-/r/
4×expm1-log1p-u sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 sqrt-div add-exp-log flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
4 → 132
Calls
4 calls:
20.0ms
(sqrt (/ x (+ x y)))
10.0ms
(sqrt (/ x (+ x y)))
10.0ms
(sqrt (/ y (+ x y)))
10.0ms
(sqrt (/ y (+ x y)))

series379.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt (/ x (+ x y)))
84.0ms
(sqrt (/ x (+ x y)))
110.0ms
(sqrt (/ y (+ x y)))
85.0ms
(sqrt (/ y (+ x y)))

simplify3.5s

Counts
144 → 144
Iterations
IterNodes
done5000
64883
52913
41383
3565
2307
1188
0130

prune811.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes96.0ms

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
done6
16
05

end0.0ms

sample480.0ms

Algorithm
intervals
Results
305.0ms8000×body80valid