Details

Time bar (total: 7.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05122
111122
214122
316122
done16122

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 48
Calls
1 calls:
29.0ms
(/ (- x y) (+ x y))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(/ (- x y) (+ x y))

simplify746.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
08012653
119811689
276311544
done500011544

prune189.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

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)))

rewrite133.0ms

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-- 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 → 442
Calls
3 calls:
9.0ms
(/ y (+ x y))
10.0ms
(/ x (+ x y))
86.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ y (+ x y))
45.0ms
(/ x (+ x y))
86.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.0s

Counts
451 → 451
Iterations

Useful iterations: 2 (901.0ms)

IterNodesCost
0422312244
1975265527
23333226633
done5000226633

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(+ (/ x (+ x y)) (/ y (+ x y)))
0.1b
(* (/ y (+ x y)) (/ y (+ x y)))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
217×*-un-lft-identity
164×times-frac
119×add-sqr-sqrt
95×add-cube-cbrt
54×distribute-lft-out
48×swap-sqr
36×associate-*r* associate-*l*
30×add-cbrt-cube add-exp-log
24×associate-/r/
18×pow1 fma-def
13×flip3-+ flip-+
12×div-inv
9×cbrt-undiv div-exp
8×prod-exp cbrt-unprod unswap-sqr
6×add-log-exp
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×distribute-rgt-out associate-/l*
2×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
1×+-commutative clear-num sum-log frac-2neg frac-add
Counts
4 → 257
Calls
4 calls:
9.0ms
(/ y (+ x y))
64.0ms
(+ (/ x (+ x y)) (/ y (+ x y)))
54.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
43.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

series274.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ y (+ x y))
50.0ms
(+ (/ x (+ x y)) (/ y (+ x y)))
86.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
74.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

simplify884.0ms

Counts
269 → 269
Iterations

Useful iterations: done (855.0ms)

IterNodesCost
026160923
193754068
done500051752

prune912.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010322
112322
done12322

end0.0ms

sample510.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid