Details

Time bar (total: 12.8s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify32.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.0b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
16×times-frac
14×add-cube-cbrt
10×add-exp-log add-cbrt-cube
associate-/r*
add-log-exp
distribute-lft-out associate-/l*
pow1 cbrt-undiv div-exp
frac-2neg clear-num associate-/r/ div-inv difference-of-squares
sub-neg flip3-- flip3-+ diff-log prod-exp flip-- cbrt-unprod flip-+ distribute-lft-out--
Counts
3 → 69
Calls
3 calls:
14.0ms
(/ (* x y) 2.0)
48.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
23.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (* x y) 2.0)
53.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
98.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify624.0ms

Counts
78 → 78

prune210.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
0.4b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
8.6b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
31×add-sqr-sqrt
29×times-frac
24×add-cube-cbrt
22×add-exp-log
18×associate-*r*
16×add-cbrt-cube
pow1 associate-/r* distribute-lft-out
div-exp add-log-exp
prod-exp
cbrt-undiv associate-/r/ associate-/l*
associate-*l* cbrt-unprod div-inv unswap-sqr
rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+
sub-neg flip3-- pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative flip-- inv-pow
Counts
4 → 111
Calls
4 calls:
12.0ms
(/ (* x y) 2.0)
7.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
24.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
59.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (* x y) 2.0)
54.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
64.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
70.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify880.0ms

Counts
123 → 123

prune233.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y))))
0.4b
(/ (/ 2.0 x) y)
0.8b
(/ 1 (/ (/ 2.0 x) y))
8.6b
(* y (/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y)))))

rewrite547.0ms

Algorithm
rewrite-expression-head
Rules
500×times-frac
272×*-un-lft-identity
257×add-sqr-sqrt
250×add-cube-cbrt
51×associate-/r*
43×add-exp-log
31×div-inv
25×add-cbrt-cube
22×div-exp
21×associate-*r*
19×associate-/l*
14×distribute-lft-out
11×cbrt-undiv
pow1
rec-exp 1-exp associate-/r/
prod-exp add-log-exp
frac-2neg associate-*l* clear-num unswap-sqr
pow-flip flip3-+ cbrt-unprod flip-+ inv-pow
associate-*r/ pow-prod-down un-div-inv *-commutative associate-/l/
Counts
4 → 355
Calls
4 calls:
160.0ms
(/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y))))
22.0ms
(/ (/ 2.0 x) y)
21.0ms
(/ 1 (/ (/ 2.0 x) y))
320.0ms
(* y (/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y)))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y))))
23.0ms
(/ (/ 2.0 x) y)
35.0ms
(/ 1 (/ (/ 2.0 x) y))
92.0ms
(* y (/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y)))))

simplify601.0ms

Counts
367 → 367

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (pow (/ y (+ 1.0 (/ 1 (/ (/ 2.0 x) y)))) 1))
0.4b
(/ (/ 2.0 x) y)
0.8b
(/ 1 (/ (/ 2.0 x) y))
9.0b
(/ y (+ 1.0 (/ 1 (/ (/ 2.0 x) y))))

rewrite794.0ms

Algorithm
rewrite-expression-head
Rules
484×times-frac
254×*-un-lft-identity
248×add-sqr-sqrt
240×add-cube-cbrt
51×associate-/r*
32×add-exp-log
27×div-inv
20×add-cbrt-cube
19×div-exp associate-/l*
10×cbrt-undiv
distribute-lft-out
add-log-exp
pow1
difference-of-squares
rec-exp frac-2neg 1-exp clear-num associate-/r/
unpow-prod-down
sub-neg flip3-- pow-flip flip3-+ diff-log flip-- flip-+ associate-/l/ distribute-lft-out-- inv-pow sqr-pow
Counts
4 → 324
Calls
4 calls:
529.0ms
(- x (pow (/ y (+ 1.0 (/ 1 (/ (/ 2.0 x) y)))) 1))
16.0ms
(/ (/ 2.0 x) y)
39.0ms
(/ 1 (/ (/ 2.0 x) y))
175.0ms
(/ y (+ 1.0 (/ 1 (/ (/ 2.0 x) y))))

series216.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- x (pow (/ y (+ 1.0 (/ 1 (/ (/ 2.0 x) y)))) 1))
39.0ms
(/ (/ 2.0 x) y)
36.0ms
(/ 1 (/ (/ 2.0 x) y))
83.0ms
(/ y (+ 1.0 (/ 1 (/ (/ 2.0 x) y))))

simplify693.0ms

Counts
336 → 336

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.7s

end0.0ms

sample749.0ms

Algorithm
intervals
Results
462.0ms8000×body80valid