Details

Time bar (total: 20.5s)

sample26.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify559.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize42.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* x 2.0) y)
13.9b
(/ (* (* x 2.0) y) (- x y))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity
pow1
prod-exp cbrt-unprod
associate-/r* times-frac add-cube-cbrt
cbrt-undiv div-exp associate-*r* pow-prod-down
associate-/r/ insert-posit16 distribute-lft-out-- add-log-exp difference-of-squares
clear-num frac-2neg flip3-- associate-*l* *-commutative div-inv flip-- associate-/l*
Counts
2 → 49
Calls
2 calls:
42.0ms
(* (* x 2.0) y)
64.0ms
(/ (* (* x 2.0) y) (- x y))

series146.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (* x 2.0) y)
115.0ms
(/ (* (* x 2.0) y) (- x y))

simplify2.6s

Counts
55 → 55
Iterations
IterNodes
done5003
21010
1248
091

prune506.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize78.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
6.0b
(* (* 2.0 x) (/ y (- x y)))

rewrite146.0ms

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
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-- insert-posit16 div-inv flip-- add-log-exp
clear-num frac-2neg associate-*l* associate-*r/ *-commutative
Counts
2 → 80
Calls
2 calls:
24.0ms
(/ y (- x y))
116.0ms
(* (* 2.0 x) (/ y (- x y)))

series196.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(/ y (- x y))
97.0ms
(* (* 2.0 x) (/ y (- x y)))

simplify3.2s

Counts
86 → 86
Iterations
IterNodes
done5000
21187
1327
0118

prune706.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
6.4b
(/ (* x 2.0) (/ (- x y) y))

rewrite130.0ms

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
cbrt-undiv div-exp
associate-/l*
div-inv
pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp associate-/l/
flip3-- div-sub associate-/r/ flip--
Counts
2 → 98
Calls
2 calls:
67.0ms
(/ (- x y) y)
49.0ms
(/ (* x 2.0) (/ (- x y) y))

series139.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- x y) y)
90.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify3.2s

Counts
104 → 104
Iterations
IterNodes
done5001
21459
1418
0153

prune934.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x y) 1)
6.4b
(/ (* x 2.0) (- (/ x y) 1))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
19×times-frac
16×*-un-lft-identity
12×difference-of-squares
10×associate-/r*
add-cbrt-cube add-exp-log
difference-of-sqr-1
add-cube-cbrt add-log-exp
distribute-lft-out--
pow1 cbrt-undiv flip3-- div-exp associate-/r/ insert-posit16 flip--
clear-num sub-neg frac-2neg diff-log prod-exp cbrt-unprod div-inv associate-/l*
Counts
2 → 58
Calls
2 calls:
69.0ms
(- (/ x y) 1)
71.0ms
(/ (* x 2.0) (- (/ x y) 1))

series133.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- (/ x y) 1)
107.0ms
(/ (* x 2.0) (- (/ x y) 1))

simplify5.6s

Counts
64 → 64
Iterations
IterNodes
done5092
33201
2735
1229
096

prune391.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes229.0ms

Accuracy

94.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.2b

bsearch66.0ms

Steps
ItersRangePoint
4
1.3400027700104294e-104
2.3822069514449105e-104
2.279321042838855e-104
10
-0.00018185218373056224
-3.357934212443453e-18
-1.4392061780489917e-16

simplify12.0ms

Iterations
IterNodes
done26
126
018

end0.0ms

sample1.1s

Algorithm
intervals
Results
544.0ms8000×body80valid