Details

Time bar (total: 15.0s)

sample41.0ms

Algorithm
intervals
Results
20.0ms365×body80valid

simplify225.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
079
1147
2337
3737
41097
51217
61237
done1237

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:
11.0ms
(- (* x x) (* x y))
34.0ms
(* 2.0 (- (* x x) (* x y)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (* x x) (* x y))
66.0ms
(* 2.0 (- (* x x) (* x y)))

simplify2.5s

Counts
52 → 52
Iterations

Useful iterations: done (2.5s)

IterNodesCost
077609
1178488
2562439
32522439
done5000424

prune156.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

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:
59.0ms
(* (* 2.0 x) (- x y))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(* (* 2.0 x) (- x y))

simplify4.1s

Counts
49 → 49
Iterations

Useful iterations: done (4.1s)

IterNodesCost
0112883
1279706
2845570
33389528
done5002510

prune57.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt 2.0) (sqrt (* x (- x y))))
0.3b
(* (* (sqrt 2.0) (sqrt (* x (- x y)))) (* (sqrt 2.0) (sqrt (* x (- x y)))))
8.2b
(sqrt (* x (- x y)))
8.2b
(sqrt (* x (- x y)))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
126×pow1
81×pow-prod-down
64×sqrt-pow1
34×associate-*r/
24×pow1/2
18×add-exp-log sqrt-div add-cbrt-cube
13×pow-prod-up
11×add-sqr-sqrt
9×flip3-- prod-exp pow-sqr flip-- cbrt-unprod
7×add-cube-cbrt *-un-lft-identity associate-*l* sqrt-prod
6×sqrt-unprod
5×associate-*r*
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
2×pow-plus associate-*l/ *-commutative unswap-sqr
1×pow2 swap-sqr rem-square-sqrt
Counts
4 → 126
Calls
4 calls:
49.0ms
(* (sqrt 2.0) (sqrt (* x (- x y))))
247.0ms
(* (* (sqrt 2.0) (sqrt (* x (- x y)))) (* (sqrt 2.0) (sqrt (* x (- x y)))))
34.0ms
(sqrt (* x (- x y)))
36.0ms
(sqrt (* x (- x y)))

series568.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (sqrt 2.0) (sqrt (* x (- x y))))
202.0ms
(* (* (sqrt 2.0) (sqrt (* x (- x y)))) (* (sqrt 2.0) (sqrt (* x (- x y)))))
88.0ms
(sqrt (* x (- x y)))
71.0ms
(sqrt (* x (- x y)))

simplify5.2s

Counts
138 → 138
Iterations

Useful iterations: 3 (2.8s)

IterNodesCost
01451927
13611360
212021160
348271117
done50001117

prune355.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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
079
199
done99

end0.0ms

sample954.0ms

Algorithm
intervals
Results
496.0ms11227×body80valid