Details

Time bar (total: 24.8s)

sample38.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify673.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize63.0ms

Local error

Found 2 expressions with local error:

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

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity
7×pow1
6×prod-exp cbrt-unprod
5×associate-/r* times-frac add-cube-cbrt
3×cbrt-undiv div-exp associate-*r* pow-prod-down
2×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×clear-num frac-2neg flip3-- associate-*l* *-commutative div-inv flip-- associate-/l*
Counts
2 → 53
Calls
2 calls:
77.0ms
(* (* x 2.0) y)
102.0ms
(/ (* (* x 2.0) y) (- x y))

series170.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (* x 2.0) y)
118.0ms
(/ (* (* x 2.0) y) (- x y))

simplify2.8s

Counts
59 → 59
Iterations
IterNodes
done5000
21012
1253
095

prune685.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize81.0ms

Local error

Found 2 expressions with local error:

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

rewrite166.0ms

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:
50.0ms
(/ y (- x y))
103.0ms
(* (* 2.0 x) (/ y (- x y)))

series209.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ y (- x y))
135.0ms
(* (* 2.0 x) (/ y (- x y)))

simplify3.5s

Counts
90 → 90
Iterations
IterNodes
done5000
21243
1338
0122

prune832.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 2 expressions with local error:

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

rewrite162.0ms

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:
55.0ms
(/ (- x y) y)
88.0ms
(/ (* x 2.0) (/ (- x y) y))

series174.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- x y) y)
123.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify3.3s

Counts
108 → 108
Iterations
IterNodes
done5000
21564
1423
0157

prune979.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize68.0ms

Local error

Found 2 expressions with local error:

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

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
57×*-un-lft-identity
55×times-frac
45×add-cube-cbrt
39×prod-diff
13×fma-neg
12×difference-of-squares
10×associate-/r* add-exp-log
7×add-cbrt-cube
6×difference-of-sqr-1
5×div-inv
4×add-log-exp
3×div-exp distribute-lft-out--
2×expm1-log1p-u pow1 cbrt-undiv expm1-def flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip--
1×clear-num sub-neg frac-2neg diff-log prod-exp cbrt-unprod associate-/l*
Counts
2 → 116
Calls
2 calls:
60.0ms
(- (/ x y) 1)
58.0ms
(/ (* x 2.0) (- (/ x y) 1))

series148.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- (/ x y) 1)
122.0ms
(/ (* x 2.0) (- (/ x y) 1))

simplify8.0s

Counts
122 → 122
Iterations
IterNodes
done5014
34499
21059
1386
0173

prune820.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes238.0ms

Accuracy

94.6% (0.4b remaining)

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

bsearch99.0ms

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

sample1.2s

Algorithm
intervals
Results
559.0ms8000×body80valid