Details

Time bar (total: 3.8s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify104.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1159
2359
3719
41219
51569
61779
71809
done1809

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize6.0ms

Local error

Found 1 expressions with local error:

14.2b
(/ (* (* x 2.0) y) (- x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg clear-num flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
11.0ms
(/ (* (* x 2.0) y) (- x y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (* (* x 2.0) y) (- x y))

simplify408.0ms

Counts
34 → 34
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
079420
1221400
21081334
done5000334

prune60.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.0b
(* (* x 2.0) (/ y (- x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
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-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
5.0ms
(/ y (- x y))
17.0ms
(* (* x 2.0) (/ y (- x y)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ y (- x y))
67.0ms
(* (* x 2.0) (/ y (- x y)))

simplify634.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
0120947
1324888
21576788
done5000788

prune150.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
7.6b
(/ (* x 2.0) (/ (- x y) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 100
Calls
2 calls:
9.0ms
(/ (- x y) y)
10.0ms
(/ (* x 2.0) (/ (- x y) y))

series87.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- x y) y)
63.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify687.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
01551282
13991208
218631092
done50011092

prune184.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- x y))
7.1b
(* (/ (* x 2.0) (- x y)) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×associate-*l*
10×times-frac
7×add-cube-cbrt
5×prod-exp associate-/r* cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-/r/
3×associate-*r* distribute-lft-out-- difference-of-squares
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l* unswap-sqr
Counts
2 → 62
Calls
2 calls:
7.0ms
(/ (* x 2.0) (- x y))
20.0ms
(* (/ (* x 2.0) (- x y)) y)

series112.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (* x 2.0) (- x y))
60.0ms
(* (/ (* x 2.0) (- x y)) y)

simplify523.0ms

Counts
68 → 68
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
0105717
1280685
21243579
done5000579

prune104.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

95.2% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.9b

bsearch52.0ms

Steps
ItersRangePoint
8
8.255552306001952e-109
2.5706670895598453e-106
2.535580169146477e-106
8
-2.4602841083501623e+40
-1.816261061658437e+37
-1.8379060927151348e+37

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01535
12127
done2127

end0.0ms

sample319.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid