Details

Time bar (total: 10.8s)

sample20.0ms

Algorithm
intervals
Results
11.0ms365×body80valid

simplify175.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1147
2337
3737
41097
51217
61237
done1237

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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:
20.0ms
(- (* x x) (* x y))
47.0ms
(* 2.0 (- (* x x) (* x y)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* x x) (* x y))
77.0ms
(* 2.0 (- (* x x) (* x y)))

simplify1.9s

Counts
52 → 52
Iterations

Useful iterations: done (1.9s)

IterNodesCost
077609
1178488
2562439
32522439
done5000424

prune127.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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:
49.0ms
(* (* 2.0 x) (- x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* (* 2.0 x) (- x y))

simplify3.9s

Counts
49 → 49
Iterations

Useful iterations: done (3.9s)

IterNodesCost
0112883
1279706
2845570
33389528
done5002510

prune58.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.0b
(sqrt (- x y))
0.1b
(* (* 2.0 x) (sqrt (- x y)))
0.2b
(* (* (* 2.0 x) (sqrt (- x y))) (sqrt (- x y)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-sqr-sqrt sqrt-prod
18×add-exp-log *-un-lft-identity sqrt-div add-cbrt-cube
16×associate-*r*
10×add-cube-cbrt associate-*r/
9×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×expm1-log1p-u frac-times log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* associate-*l/ *-commutative
Counts
4 → 101
Calls
4 calls:
19.0ms
(sqrt (- x y))
11.0ms
(sqrt (- x y))
33.0ms
(* (* 2.0 x) (sqrt (- x y)))
142.0ms
(* (* (* 2.0 x) (sqrt (- x y))) (sqrt (- x y)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(sqrt (- x y))
68.0ms
(sqrt (- x y))
136.0ms
(* (* 2.0 x) (sqrt (- x y)))
58.0ms
(* (* (* 2.0 x) (sqrt (- x y))) (sqrt (- x y)))

simplify2.5s

Counts
113 → 113
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01441499
13871203
213551063
done50011037

prune324.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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
067
187
done87

end0.0ms

sample873.0ms

Algorithm
intervals
Results
592.0ms11077×body80valid