Details

Time bar (total: 10.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms334×body80valid

simplify80.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41017
51087
61127
done1127

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite33.0ms

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:
31.0ms
(* (* x y) (- 1.0 y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* x y) (- 1.0 y))

simplify2.5s

Counts
49 → 49
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0110883
1274712
2834570
33358528
done5000402

prune52.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 1.0 y))
0.1b
(* (* x (- 1.0 y)) y)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
22.0ms
(* x (- 1.0 y))
34.0ms
(* (* x (- 1.0 y)) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (- 1.0 y))
47.0ms
(* (* x (- 1.0 y)) y)

simplify2.0s

Counts
74 → 74
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0129982
1268806
2721652
33132598
done5002544

prune94.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
4.0b
(* x (* y (- 1.0 y)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
22.0ms
(* y (- 1.0 y))
36.0ms
(* x (* y (- 1.0 y)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* y (- 1.0 y))
47.0ms
(* x (* y (- 1.0 y)))

simplify2.5s

Counts
118 → 118
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01822193
13711695
28351349
334741223
done5000953

prune89.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.0b
(sqrt (- 1.0 y))
0.0b
(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
0.1b
(* (* x y) (sqrt (- 1.0 y)))

rewrite134.0ms

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:
9.0ms
(sqrt (- 1.0 y))
9.0ms
(sqrt (- 1.0 y))
83.0ms
(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
30.0ms
(* (* x y) (sqrt (- 1.0 y)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (- 1.0 y))
29.0ms
(sqrt (- 1.0 y))
46.0ms
(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
96.0ms
(* (* x y) (sqrt (- 1.0 y)))

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01521521
14091234
214731090
done50001074

prune202.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
089
1117
done117

end0.0ms

sample407.0ms

Algorithm
intervals
Results
187.0ms10606×body80valid