Details

Time bar (total: 4.2s)

sample18.0ms

Algorithm
intervals
Results
8.0ms465×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
197
2247
3597
41187
52247
63197
74997
815467
done50007

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))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×sub-neg associate-*r/ associate-*l/
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 53
Calls
1 calls:
18.0ms
(* (+ x y) (- x y))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* (+ x y) (- x y))

simplify841.0ms

Counts
56 → 56
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
01201016
1352837
21570701
done5000701

prune67.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* y y))
0.1b
(* (+ x y) (- (* x x) (* y y)))
20.2b
(/ (* (+ x y) (- (* x x) (* y y))) (+ x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
8×frac-times associate-/l/
7×add-cube-cbrt flip3-- flip3-+ flip-- flip-+
5×pow1 add-log-exp
4×times-frac associate-*r/ associate-*r* associate-*l* associate-*l/ associate-/r*
3×distribute-rgt-in expm1-log1p-u sub-neg distribute-lft-in prod-diff log1p-expm1-u distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod difference-of-squares
1×frac-2neg fma-neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 88
Calls
3 calls:
3.0ms
(- (* x x) (* y y))
18.0ms
(* (+ x y) (- (* x x) (* y y)))
14.0ms
(/ (* (+ x y) (- (* x x) (* y y))) (+ x y))

series100.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (* x x) (* y y))
36.0ms
(* (+ x y) (- (* x x) (* y y)))
34.0ms
(/ (* (+ x y) (- (* x x) (* y y))) (+ x y))

simplify1.1s

Counts
97 → 97
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
01321658
14111560
224441196
done50011196

prune176.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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
057
177
done77

end0.0ms

sample467.0ms

Algorithm
intervals
Results
247.0ms14336×body80valid