Details

Time bar (total: 7.5s)

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify118.0ms

Counts
1 → 1
Iterations
IterNodes
done174
8174
7170
6160
5136
488
348
227
115
07

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize12.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ (* (* x 2.0) y) (- x y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity
5×associate-/r* times-frac
3×cbrt-undiv div-exp prod-exp add-cube-cbrt cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×expm1-log1p-u pow1 clear-num frac-2neg flip3-- insert-posit16 log1p-expm1-u div-inv flip-- associate-/l* add-log-exp
Counts
1 → 32
Calls
1 calls:
28.0ms
(/ (* (* x 2.0) y) (- x y))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ (* (* x 2.0) y) (- x y))

simplify1.2s

Counts
35 → 35
Iterations
IterNodes
done5001
2872
1223
080

prune120.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
5.9b
(* (* 2.0 x) (/ y (- x y)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×associate-*r* add-cube-cbrt
16×add-cbrt-cube add-exp-log
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
1×clear-num frac-2neg associate-*l* associate-*r/ *-commutative
Counts
2 → 84
Calls
2 calls:
12.0ms
(/ y (- x y))
36.0ms
(* (* 2.0 x) (/ y (- x y)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ y (- x y))
92.0ms
(* (* 2.0 x) (/ y (- x y)))

simplify1.3s

Counts
90 → 90
Iterations
IterNodes
done5000
21203
1338
0122

prune248.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
5.9b
(/ (* x 2.0) (/ (- x y) y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-cbrt-cube add-exp-log
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 102
Calls
2 calls:
19.0ms
(/ (- x y) y)
25.0ms
(/ (* x 2.0) (/ (- x y) y))

series129.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (- x y) y)
93.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify1.2s

Counts
108 → 108
Iterations
IterNodes
done5002
21463
1422
0157

prune316.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

5.9b
(/ (* x 2.0) (- (/ x y) 1))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
16×times-frac
11×*-un-lft-identity
10×associate-/r*
8×difference-of-squares
6×add-cbrt-cube add-exp-log
4×difference-of-sqr-1
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out--
1×expm1-log1p-u pow1 clear-num frac-2neg flip3-- prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv flip-- associate-/l* add-log-exp
Counts
1 → 40
Calls
1 calls:
28.0ms
(/ (* x 2.0) (- (/ x y) 1))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (* x 2.0) (- (/ x y) 1))

simplify1.5s

Counts
43 → 43
Iterations
IterNodes
done5000
33188
2692
1209
088

prune131.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes80.0ms

Accuracy

95.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.2b

bsearch69.0ms

Steps
ItersRangePoint
9
1.429091952413382e+57
1.929040067784495e+66
1.5452684980844889e+57
8
-6.369596787908093e+63
-1.4168414909273386e+60
-1.435942788027777e+60

simplify4.0ms

Iterations
IterNodes
done24
124
017

end0.0ms

sample597.0ms

Algorithm
intervals
Results
441.0ms8000×body80valid