Details

Time bar (total: 8.4s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify116.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize16.0ms

Local error

Found 1 expressions with local error:

16.2b
(/ (* (* x 2.0) y) (- x y))

rewrite39.0ms

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×pow1 clear-num frac-2neg flip3-- div-inv flip-- associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
38.0ms
(/ (* (* x 2.0) y) (- x y))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (* (* x 2.0) y) (- x y))

simplify1.5s

Counts
32 → 32
Iterations
IterNodes
done5000
2877
1219
077

prune160.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
6.1b
(* (* 2.0 x) (/ y (- x y)))

rewrite65.0ms

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×flip3-- div-inv flip-- add-log-exp
1×clear-num frac-2neg associate-*l* associate-*r/ *-commutative
Counts
2 → 78
Calls
2 calls:
9.0ms
(/ y (- x y))
53.0ms
(* (* 2.0 x) (/ y (- x y)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ y (- x y))
86.0ms
(* (* 2.0 x) (/ y (- x y)))

simplify1.4s

Counts
84 → 84
Iterations
IterNodes
done5001
21185
1325
0116

prune364.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
6.7b
(/ (* x 2.0) (/ (- x y) y))

rewrite40.0ms

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×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp associate-/l/
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 96
Calls
2 calls:
13.0ms
(/ (- x y) y)
23.0ms
(/ (* x 2.0) (/ (- x y) y))

series107.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- x y) y)
81.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify1.1s

Counts
102 → 102
Iterations
IterNodes
done5000
21363
1415
0151

prune475.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- x y))
6.6b
(* (/ (* x 2.0) (- x y)) y)

rewrite63.0ms

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×flip3-- div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative associate-/l* unswap-sqr
Counts
2 → 58
Calls
2 calls:
17.0ms
(/ (* x 2.0) (- x y))
44.0ms
(* (/ (* x 2.0) (- x y)) y)

series164.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (* x 2.0) (- x y))
97.0ms
(* (/ (* x 2.0) (- x y)) y)

simplify1.3s

Counts
64 → 64
Iterations
IterNodes
done5000
21166
1276
0101

prune251.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

97.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.0b

bsearch78.0ms

Steps
ItersRangePoint
9
1.505515503601388e+75
7.706155067127394e+81
1.5252611293845415e+75
4
-3.687013704912239e+33
-1.9124874598053668e+33
-1.9508966350330062e+33

simplify5.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample830.0ms

Algorithm
intervals
Results
473.0ms8000×body80valid