Details

Time bar (total: 6.9s)

sample43.0ms

Algorithm
intervals
Results
24.0ms349×body80valid

simplify158.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1147
2337
3737
41107
51227
61247
done1247

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* x y))
0.0b
(* 2.0 (- (* x x) (* x y)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-diff
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out--
1×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
18.0ms
(- (* x x) (* x y))
50.0ms
(* 2.0 (- (* x x) (* x y)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (* x x) (* x y))
75.0ms
(* 2.0 (- (* x x) (* x y)))

simplify1.2s

Counts
52 → 52
Iterations

Useful iterations: 2 (193.0ms)

IterNodesCost
077609
1215506
21185439
done5001439

prune174.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* 2.0 x) (- x y))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
70.0ms
(* (* 2.0 x) (- x y))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(* (* 2.0 x) (- x y))

simplify2.1s

Counts
49 → 49
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0112883
1328712
22154570
done5000546

prune69.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (sqrt x) (sqrt y))
0.1b
(* (+ (sqrt x) (sqrt y)) (* 2.0 x))
0.1b
(* (* (+ (sqrt x) (sqrt y)) (* 2.0 x)) (- (sqrt x) (sqrt y)))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
125×sqrt-prod
108×prod-diff
95×add-sqr-sqrt
91×*-un-lft-identity
79×add-cube-cbrt
38×distribute-rgt-in distribute-lft-in
17×pow1 add-exp-log add-cbrt-cube
10×associate-*r* associate-*l/
9×pow-prod-down prod-exp cbrt-unprod
8×difference-of-squares
6×fma-neg associate-*l*
5×add-log-exp
4×frac-times flip3-- flip3-+ flip-- flip-+ distribute-lft-out--
3×expm1-log1p-u sub-neg log1p-expm1-u
2×associate-*r/ *-commutative distribute-lft-out
1×diff-log
Counts
3 → 199
Calls
3 calls:
14.0ms
(- (sqrt x) (sqrt y))
62.0ms
(* (+ (sqrt x) (sqrt y)) (* 2.0 x))
173.0ms
(* (* (+ (sqrt x) (sqrt y)) (* 2.0 x)) (- (sqrt x) (sqrt y)))

series416.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (sqrt x) (sqrt y))
99.0ms
(* (+ (sqrt x) (sqrt y)) (* 2.0 x))
250.0ms
(* (* (+ (sqrt x) (sqrt y)) (* 2.0 x)) (- (sqrt x) (sqrt y)))

simplify583.0ms

Counts
208 → 208
Iterations

Useful iterations: done (572.0ms)

IterNodesCost
02696434
18285050
done50004364

prune426.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
199
done99

end0.0ms

sample1.0s

Algorithm
intervals
Results
541.0ms11228×body80valid