Details

Time bar (total: 5.9s)

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:
26.0ms
(/ (- x y) (+ x y))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (- x y) (+ x y))

simplify359.0ms

Counts
52 → 52
Iterations
IterNodes
done2006
2572
1199
081

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite85.0ms

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:
8.0ms
(/ y (+ x y))
10.0ms
(/ x (+ x y))
56.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ y (+ x y))
55.0ms
(/ x (+ x y))
97.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify670.0ms

Counts
454 → 454
Iterations
IterNodes
done2000
1976
0425

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (+ x y)) (cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))))
0.0b
(* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))
0.1b
(* (/ y (+ x y)) (/ y (+ x y)))
12.4b
(cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y))))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
186×*-un-lft-identity
138×times-frac
126×add-sqr-sqrt
106×add-cube-cbrt
72×prod-diff
57×add-cbrt-cube add-exp-log
36×associate-*r* distribute-lft-out
30×pow1
24×swap-sqr
22×prod-exp cbrt-unprod
20×associate-/r/
19×cbrt-prod associate-*l*
18×fma-neg
17×cbrt-undiv div-exp
16×frac-times associate-*l/
14×cbrt-div
10×flip3-+ associate-*r/ flip-+ div-inv
7×pow-plus pow-prod-up frac-sub
6×add-log-exp unswap-sqr
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u
3×pow2 pow-sqr
2×pow3 *-commutative difference-of-squares
1×sub-neg flip3-- pow1/3 diff-log rem-cbrt-cube flip-- distribute-lft-out--
Counts
4 → 296
Calls
4 calls:
57.0ms
(- (/ x (+ x y)) (cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))))
79.0ms
(* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))
42.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
68.0ms
(cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (/ x (+ x y)) (cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))))
114.0ms
(* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))
90.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
57.0ms
(cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y))))

simplify636.0ms

Counts
308 → 308
Iterations
IterNodes
done2001
11005
0345

prune906.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes85.0ms

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

sample659.0ms

Algorithm
intervals
Results
456.0ms8000×body80valid