Details

Time bar (total: 8.5s)

sample27.0ms

Algorithm
intervals
Results
14.0ms353×body80valid

simplify118.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
079
1137
2327
3667
4907
5967
done967

prune4.0ms

Pruning

2 alts after pruning (2 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)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
sub-neg associate-*l*
distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 38
Calls
2 calls:
16.0ms
(- (* x x) (* x y))
29.0ms
(* 2.0 (- (* x x) (* x y)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(- (* x x) (* x y))
95.0ms
(* 2.0 (- (* x x) (* x y)))

simplify1.8s

Counts
44 → 44
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
064519
1158413
2501367
32243367
done5000367

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
68.0ms
(* (* 2.0 x) (- x y))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(* (* 2.0 x) (- x y))

simplify2.7s

Counts
29 → 29
Iterations

Useful iterations: 2 (161.0ms)

IterNodesCost
062303
1167288
2656242
32669242
done5000242

prune59.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- x y))
0.2b
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
6.8b
(sqrt (* x (- x y)))
6.8b
(sqrt (* x (- x y)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
flip3-- associate-*r* flip--
add-exp-log add-cbrt-cube
associate-*l*
sqrt-prod pow-sqr
frac-times swap-sqr add-log-exp
distribute-rgt-in sub-neg distribute-lft-in associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
21.0ms
(* x (- x y))
85.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
7.0ms
(sqrt (* x (- x y)))
10.0ms
(sqrt (* x (- x y)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* x (- x y))
69.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
104.0ms
(sqrt (* x (- x y)))
72.0ms
(sqrt (* x (- x y)))

simplify2.5s

Counts
121 → 121
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01201349
12351007
2643923
32265883
done5000877

prune334.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.0ms