Details

Time bar (total: 2.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify11.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* x 2.0) y)
19.2b
(/ (* (* x 2.0) y) (- x y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
pow1
prod-exp cbrt-unprod
add-cube-cbrt times-frac associate-/r*
cbrt-undiv div-exp associate-*r* pow-prod-down
associate-/r/ distribute-lft-out-- add-log-exp difference-of-squares
flip3-- frac-2neg associate-*l* clear-num *-commutative flip-- div-inv associate-/l*
Counts
2 → 47
Calls
2 calls:
17.0ms
(* (* x 2.0) y)
33.0ms
(/ (* (* x 2.0) y) (- x y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (* x 2.0) y)
70.0ms
(/ (* (* x 2.0) y) (- x y))

simplify35.0ms

Counts
53 → 53

prune82.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.2b
(* (* x 2.0) (/ y (- x y)))

rewrite46.0ms

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:
11.0ms
(/ y (- x y))
33.0ms
(* (* x 2.0) (/ y (- x y)))

series136.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ y (- x y))
83.0ms
(* (* x 2.0) (/ y (- x y)))

simplify36.0ms

Counts
84 → 84

prune160.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
7.2b
(/ (* x 2.0) (/ (- x y) y))

rewrite44.0ms

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:
16.0ms
(/ (- x y) y)
24.0ms
(/ (* x 2.0) (/ (- x y) y))

series110.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (- x y) y)
80.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify37.0ms

Counts
102 → 102

prune235.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- x y))
5.3b
(* (/ x (- x y)) (* y 2.0))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*l*
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:
11.0ms
(/ x (- x y))
41.0ms
(* (/ x (- x y)) (* y 2.0))

series139.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ x (- x y))
75.0ms
(* (/ x (- x y)) (* y 2.0))

simplify41.0ms

Counts
84 → 84

prune160.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

2.9% (7.2b remaining)

Error of 7.2b against oracle of 0.0b and baseline of 7.5b

bsearch81.0ms

Steps
ItersRangePoint
9
1.3317071141136388e-137
9.2609989121975e-133
9.150412211331254e-133
9
-3.548109290539203e+18
-11749064665800.936
-58561655122625.34

simplify34.0ms

end0.0ms

sample731.0ms

Algorithm
intervals
Results
432.0ms8000×body80valid