Details

Time bar (total: 12.0s)

sample23.0ms

Algorithm
intervals
Results
9.0ms344×body80valid

simplify116.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
112123
232123
371123
4118123
5129123
6133123
done133123

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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-cbrt-cube add-exp-log
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
27.0ms
(* (* x y) (- 1.0 y))

series59.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (* x y) (- 1.0 y))

simplify2.3s

Counts
49 → 49
Iterations

Useful iterations: done (2.3s)

IterNodesCost
011017527
133614837
2229111313
done500111273

prune141.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b
(* (* x y) (- y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 sum-log fma-def flip3-+ associate-*l* unsub-neg *-commutative flip-+ distribute-lft-out
Counts
2 → 45
Calls
2 calls:
17.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
16.0ms
(* (* x y) (- y))

series140.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
38.0ms
(* (* x y) (- y))

simplify2.4s

Counts
51 → 51
Iterations

Useful iterations: done (2.4s)

IterNodesCost
08511296
12668499
218538112
done50008072

prune245.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
4.3b
(* x (* y (- 1.0 y)))

rewrite100.0ms

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-cbrt-cube add-exp-log
6×sub-neg associate-*r* associate-*l* associate-*r/
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
38.0ms
(* y (- 1.0 y))
55.0ms
(* x (* y (- 1.0 y)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* y (- 1.0 y))
49.0ms
(* x (* y (- 1.0 y)))

simplify1.9s

Counts
118 → 118
Iterations

Useful iterations: done (1.9s)

IterNodesCost
018243237
147836455
2218025923
done500125843

prune312.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube associate-*r* add-exp-log
14×sqrt-div
10×add-sqr-sqrt *-un-lft-identity associate-*r/ sqrt-prod
9×pow-prod-down prod-exp cbrt-unprod
7×flip3-- flip--
6×add-cube-cbrt
4×frac-times
2×expm1-log1p-u associate-*l* associate-*l/ *-commutative log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
2 → 63
Calls
2 calls:
25.0ms
(* (* x y) (sqrt (- 1.0 y)))
118.0ms
(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

series211.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(* (* x y) (sqrt (- 1.0 y)))
80.0ms
(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

simplify2.4s

Counts
69 → 69
Iterations

Useful iterations: done (2.4s)

IterNodesCost
012922803
136817016
2216216456
done500116006

prune345.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08203
114203
218203
324203
done24203

end0.0ms

sample729.0ms

Algorithm
intervals
Results
401.0ms10708×body80valid