Details

Time bar (total: 7.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms438×body80valid

simplify98.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047
1117
2267
3507
4917
51177
61357
71487
81507
done1507

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
17.0ms
(* (+ x y) (+ x y))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* (+ x y) (+ x y))

simplify484.0ms

Counts
45 → 45
Iterations

Useful iterations: done (483.0ms)

IterNodesCost
064532
1193465
2899416
done5000400

prune60.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* y y))
0.0b
(* (- x y) (- x y))
0.3b
(* (- (* x x) (* y y)) (- (* x x) (* y y)))
32.3b
(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
36×add-sqr-sqrt
25×flip3-- flip--
24×add-cube-cbrt
21×prod-diff
20×add-exp-log add-cbrt-cube
18×pow1
16×frac-times
14×distribute-rgt-in distribute-lft-in
11×swap-sqr
9×associate-*r* associate-*l* difference-of-squares
8×associate-*r/ associate-*l/ associate-/r/ associate-/l/
6×prod-exp cbrt-unprod distribute-lft-out-- add-log-exp
5×sub-neg
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr
1×frac-2neg times-frac fma-neg diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 165
Calls
4 calls:
3.0ms
(- (* x x) (* y y))
23.0ms
(* (- x y) (- x y))
19.0ms
(* (- (* x x) (* y y)) (- (* x x) (* y y)))
18.0ms
(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

series153.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* x x) (* y y))
20.0ms
(* (- x y) (- x y))
50.0ms
(* (- (* x x) (* y y)) (- (* x x) (* y y)))
45.0ms
(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

simplify2.6s

Counts
177 → 177
Iterations

Useful iterations: 2 (289.0ms)

IterNodesCost
02333751
16223247
238682562
done50012562

prune328.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* y (+ (* 2 x) y)))
0.0b
(* y (+ (* 2 x) y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef unswap-sqr
Counts
2 → 34
Calls
2 calls:
1.0ms
(fma x x (* y (+ (* 2 x) y)))
11.0ms
(* y (+ (* 2 x) y))

series73.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(fma x x (* y (+ (* 2 x) y)))
38.0ms
(* y (+ (* 2 x) y))

simplify2.8s

Counts
40 → 40
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
062443
1170378
2733337
33389337
done5001337

prune101.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
done1010

end0.0ms

sample427.0ms

Algorithm
intervals
Results
208.0ms14101×body80valid