Details

Time bar (total: 16.5s)

sample43.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify372.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite69.0ms

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:
65.0ms
(/ (* (* x 2.0) y) (- x y))

series109.0ms

Counts
1 → 3
Calls
1 calls:
109.0ms
(/ (* (* x 2.0) y) (- x y))

simplify2.5s

Counts
35 → 35
Iterations
IterNodes
done5000
2876
1224
080

prune422.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
8.3b
(* (* 2.0 x) (/ y (- x y)))

rewrite112.0ms

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:
31.0ms
(/ y (- x y))
68.0ms
(* (* 2.0 x) (/ y (- x y)))

series207.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ y (- x y))
120.0ms
(* (* 2.0 x) (/ y (- x y)))

simplify2.9s

Counts
90 → 90
Iterations
IterNodes
done5000
21243
1338
0122

prune835.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
9.0b
(/ (* x 2.0) (/ (- x y) y))

rewrite99.0ms

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:
35.0ms
(/ (- x y) y)
55.0ms
(/ (* x 2.0) (/ (- x y) y))

series159.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- x y) y)
119.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify2.7s

Counts
108 → 108
Iterations
IterNodes
done5000
21564
1423
0157

prune990.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- x y))
7.8b
(* (/ (* x 2.0) (- x y)) y)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
13×*-un-lft-identity
11×associate-*l*
10×times-frac
7×add-cube-cbrt
5×associate-/r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-/r/
3×associate-*r* distribute-lft-out-- difference-of-squares
2×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative associate-/l* unswap-sqr
Counts
2 → 64
Calls
2 calls:
20.0ms
(/ (* x 2.0) (- x y))
73.0ms
(* (/ (* x 2.0) (- x y)) y)

series202.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(/ (* x 2.0) (- x y))
117.0ms
(* (/ (* x 2.0) (- x y)) y)

simplify2.8s

Counts
70 → 70
Iterations
IterNodes
done5001
21181
1285
0107

prune714.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes250.0ms

Accuracy

89.9% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.3b

bsearch102.0ms

Steps
ItersRangePoint
8
3.286558589732143e-143
1.0302889332690715e-140
1.0217193971332764e-140
9
-59395680937481.68
-13569362.173458751
-57238629659.918236

simplify11.0ms

Iterations
IterNodes
done20
120
015

end0.0ms

sample812.0ms

Algorithm
intervals
Results
496.0ms8000×body80valid