Details

Time bar (total: 6.7s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify160.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize7.0ms

Local error

Found 1 expressions with local error:

15.8b
(/ (* (* x 2.0) y) (- x y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
times-frac associate-/r*
cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
associate-/r/ distribute-lft-out-- difference-of-squares
pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
53.0ms
(/ (* (* x 2.0) y) (- x y))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (* (* x 2.0) y) (- x y))

simplify630.0ms

Counts
32 → 32

prune84.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.6b
(* (* x 2.0) (/ y (- x y)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
pow1 distribute-lft-out-- difference-of-squares
prod-exp cbrt-unprod
associate-/r*
associate-/r/
cbrt-undiv div-exp pow-prod-down associate-/l*
flip3-- flip-- div-inv add-log-exp
frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 78
Calls
2 calls:
12.0ms
(/ y (- x y))
43.0ms
(* (* x 2.0) (/ y (- x y)))

series192.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ y (- x y))
115.0ms
(* (* x 2.0) (/ y (- x y)))

simplify841.0ms

Counts
84 → 84

prune193.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- x y))
0.0b
(* 2.0 (/ y (- x y)))
7.3b
(* x (* 2.0 (/ y (- x y))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
22×associate-*r*
19×add-exp-log add-cbrt-cube
10×pow1
prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
associate-*l*
associate-/r*
pow-prod-down associate-/r/
cbrt-undiv associate-*r/ div-exp associate-/l* add-log-exp
flip3-- *-commutative flip-- div-inv unswap-sqr
frac-2neg clear-num
Counts
3 → 98
Calls
3 calls:
15.0ms
(/ y (- x y))
48.0ms
(* 2.0 (/ y (- x y)))
63.0ms
(* x (* 2.0 (/ y (- x y))))

series243.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ y (- x y))
81.0ms
(* 2.0 (/ y (- x y)))
106.0ms
(* x (* 2.0 (/ y (- x y))))

simplify704.0ms

Counts
107 → 107

prune236.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
8.0b
(/ (* x 2.0) (/ (- x y) y))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
cbrt-undiv div-exp
associate-/l*
div-inv
pow1 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
flip3-- div-sub associate-/r/ flip--
Counts
2 → 96
Calls
2 calls:
17.0ms
(/ (- x y) y)
47.0ms
(/ (* x 2.0) (/ (- x y) y))

series155.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- x y) y)
112.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify858.0ms

Counts
102 → 102

prune290.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes64.0ms

Accuracy

-0.4% (7.0b remaining)

Error of 7.0b against oracle of 0.0b and baseline of 7.0b

bsearch85.0ms

Steps
ItersRangePoint
9
3.776134384430616e-49
1.6926770070854067e-40
1.6669026246870463e-40
7
-1.702466251130041e-54
-6.921191838673482e-56
-1.3041135359922132e-54

simplify744.0ms

end0.0ms

sample790.0ms

Algorithm
intervals
Results
467.0ms8000×body80valid