Details

Time bar (total: 7.9s)

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/l* distribute-lft-out-- difference-of-squares
associate-/r*
add-cbrt-cube add-exp-log
associate-/r/ associate-/l/
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 48
Calls
1 calls:
39.0ms
(/ (- x y) (+ x y))

series129.0ms

Counts
1 → 3
Calls
1 calls:
128.0ms
(/ (- x y) (+ x y))

simplify801.0ms

Counts
51 → 51
Iterations
IterNodes
done5000
2763
1198
080

prune218.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

2.8b
(fma (* y y) y (* (* x x) x))
3.2b
(- (* y y) (* x y))
9.3b
(/ (- x y) (fma (* y y) y (* (* x x) x)))
30.1b
(* (/ (- x y) (fma (* y y) y (* (* x x) x))) (+ (* x x) (- (* y y) (* x y))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
19×associate-*l*
11×add-cbrt-cube add-exp-log
distribute-lft-out-- difference-of-squares
pow1 add-log-exp
associate-/l*
expm1-log1p-u log1p-expm1-u
associate-/r* associate-*r*
frac-times cbrt-undiv flip3-+ flip3-- div-exp prod-exp associate-*r/ cbrt-unprod flip-+ div-inv flip-- unswap-sqr associate-/l/
distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in distribute-rgt-out-- fma-neg diff-log div-sub prod-diff pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 113
Calls
4 calls:
0.0ms
(fma (* y y) y (* (* x x) x))
13.0ms
(- (* y y) (* x y))
24.0ms
(/ (- x y) (fma (* y y) y (* (* x x) x)))
107.0ms
(* (/ (- x y) (fma (* y y) y (* (* x x) x))) (+ (* x x) (- (* y y) (* x y))))

series410.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(fma (* y y) y (* (* x x) x))
50.0ms
(- (* y y) (* x y))
80.0ms
(/ (- x y) (fma (* y y) y (* (* x x) x)))
196.0ms
(* (/ (- x y) (fma (* y y) y (* (* x x) x))) (+ (* x x) (- (* y y) (* x y))))

simplify2.0s

Counts
125 → 125
Iterations
IterNodes
done5000
23540
1598
0178

prune698.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (* y y))
2.5b
(fma (* x x) x (* y (* y y)))
9.3b
(/ (- x y) (fma (* x x) x (* y (* y y))))
30.1b
(* (/ (- x y) (fma (* x x) x (* y (* y y)))) (fma y (- y x) (* x x)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
22×associate-*l*
20×pow1
16×add-cbrt-cube add-exp-log
distribute-lft-out-- difference-of-squares
prod-exp pow-prod-up cbrt-unprod associate-/l*
expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u add-log-exp
associate-/r* fma-udef unswap-sqr
cbrt-undiv div-exp *-commutative div-inv associate-/l/
pow2 distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-plus flip3-- div-sub cube-unmult associate-*l/ pow-sqr flip--
Counts
4 → 118
Calls
4 calls:
15.0ms
(* y (* y y))
0.0ms
(fma (* x x) x (* y (* y y)))
24.0ms
(/ (- x y) (fma (* x x) x (* y (* y y))))
40.0ms
(* (/ (- x y) (fma (* x x) x (* y (* y y)))) (fma y (- y x) (* x x)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* y (* y y))
94.0ms
(fma (* x x) x (* y (* y y)))
90.0ms
(/ (- x y) (fma (* x x) x (* y (* y y))))
168.0ms
(* (/ (- x y) (fma (* x x) x (* y (* y y)))) (fma y (- y x) (* x x)))

simplify1.4s

Counts
130 → 130
Iterations
IterNodes
done5000
21850
1398
0163

prune741.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample448.0ms

Algorithm
intervals
Results
256.0ms8000×body80valid