Details

Time bar (total: 9.4s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify230.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1189
2479
31029
41509
51689
61819
71859
done1859

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize10.0ms

Local error

Found 1 expressions with local error:

16.3b
(/ (- x y) (* (* x 2.0) y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/l*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num associate-/r* flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
50.0ms
(/ (- x y) (* (* x 2.0) y))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ (- x y) (* (* x 2.0) y))

simplify3.7s

Counts
35 → 35
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
084467
1235452
2903372
34863370
done5000370

prune64.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (* x 2.0))
6.5b
(/ (/ (- x y) (* x 2.0)) y)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
34×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out-- difference-of-squares
4×associate-/r*
3×div-sub associate-/l/
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-- flip--
Counts
2 → 89
Calls
2 calls:
20.0ms
(/ (- x y) (* x 2.0))
29.0ms
(/ (/ (- x y) (* x 2.0)) y)

series111.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (* x 2.0))
63.0ms
(/ (/ (- x y) (* x 2.0)) y)

simplify1.3s

Counts
95 → 95
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01551280
13801242
212501116
done50001114

prune214.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (/ (- x y) 2.0) y)
8.8b
(* (/ 1 x) (/ (/ (- x y) 2.0) y))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
61×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/l*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/r*
2×expm1-log1p-u div-sub log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 212
Calls
2 calls:
37.0ms
(/ (/ (- x y) 2.0) y)
100.0ms
(* (/ 1 x) (/ (/ (- x y) 2.0) y))

series137.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (/ (- x y) 2.0) y)
84.0ms
(* (/ 1 x) (/ (/ (- x y) 2.0) y))

simplify2.0s

Counts
218 → 218
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
03233427
18943126
229532808
done50002808

prune524.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

97.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 8.0b

bsearch57.0ms

Steps
ItersRangePoint
7
3.39002248453449e-27
2.9088581115424155e-25
2.6520816875241387e-25
9
-4.1725717838869864e-57
-1.5496688704842292e-64
-3.9887415449186835e-57

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01837
12529
done2529

end0.0ms

sample632.0ms

Algorithm
intervals
Results
358.0ms8003×body80valid