Details

Time bar (total: 7.3s)

sample26.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/r* distribute-lft-out-- difference-of-squares
associate-/l*
add-cbrt-cube add-exp-log
associate-/r/ associate-/l/
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 48
Calls
1 calls:
27.0ms
(/ (+ x y) (- x y))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (+ x y) (- x y))

simplify1.6s

Counts
51 → 51
Iterations
IterNodes
done5000
31702
2486
1181
079

prune153.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (* x x) (* y y))
29.1b
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
flip3-- associate-/r/ flip--
add-cbrt-cube add-exp-log
add-sqr-sqrt frac-times *-un-lft-identity times-frac add-cube-cbrt associate-/l* add-log-exp
difference-of-squares
expm1-log1p-u pow1 cbrt-undiv div-exp associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u associate-/l/
clear-num associate-/r* sub-neg frac-2neg fma-neg diff-log div-sub prod-diff prod-exp cbrt-unprod div-inv
Counts
2 → 55
Calls
2 calls:
12.0ms
(- (* x x) (* y y))
39.0ms
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x x) (* y y))
99.0ms
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

simplify1.0s

Counts
61 → 61
Iterations
IterNodes
done5002
21169
1290
0100

prune197.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.1b
(/ (sqrt (+ x y)) (- x y))
0.2b
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
98×add-sqr-sqrt
74×times-frac
61×sqrt-prod
46×add-cube-cbrt
41×associate-*r*
15×distribute-lft-out-- difference-of-squares
14×distribute-lft-out
11×add-cbrt-cube add-exp-log
10×sqrt-div
pow1
associate-*l* associate-/l*
unswap-sqr
associate-/r* flip3-+ flip-+
expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
frac-times cbrt-undiv rem-sqrt-square sqrt-pow1 flip3-- pow1/2 div-exp associate-*l/ prod-exp cbrt-unprod hypot-def div-inv flip-- associate-/l/
clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
4 → 181
Calls
4 calls:
5.0ms
(sqrt (+ x y))
5.0ms
(sqrt (+ x y))
17.0ms
(/ (sqrt (+ x y)) (- x y))
58.0ms
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))

series259.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(sqrt (+ x y))
44.0ms
(sqrt (+ x y))
90.0ms
(/ (sqrt (+ x y)) (- x y))
82.0ms
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))

simplify2.4s

Counts
193 → 193
Iterations
IterNodes
done5000
34581
21424
1469
0195

prune545.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

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

sample559.0ms

Algorithm
intervals
Results
391.0ms8000×body80valid