Details

Time bar (total: 2.5s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874
done1874

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize5.0ms

Local error

Found 1 expressions with local error:

13.4b
(/ (* (* x 2.0) y) (- x y))

rewrite27.0ms

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 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
26.0ms
(/ (* (* x 2.0) y) (- x y))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (* (* x 2.0) y) (- x y))

simplify31.0ms

Counts
32 → 32
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0211184
11144151
25002151
done5002151

prune53.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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×flip3-- flip-- div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 78
Calls
2 calls:
11.0ms
(/ y (- x y))
36.0ms
(* (* x 2.0) (/ y (- x y)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ y (- x y))
59.0ms
(* (* x 2.0) (/ y (- x y)))

simplify43.0ms

Counts
84 → 84
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0310435
11657385
25001385
done5001385

prune129.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.6b
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
29×add-cbrt-cube
23×prod-exp cbrt-unprod
13×associate-*r*
12×cbrt-div
9×pow1 cbrt-prod
8×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp associate-/r/
6×flip3-- flip--
4×frac-times add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×associate-*l/
1×times-frac associate-*l* *-commutative div-inv
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
79.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

series787.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
171.0ms
(cbrt y)
165.0ms
(cbrt y)
271.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

simplify64.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0492817
12497611
25002571
done5002571

prune210.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 96
Calls
2 calls:
16.0ms
(/ (- x y) y)
23.0ms
(/ (* x 2.0) (/ (- x y) y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- x y) y)
65.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify50.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0386605
11911548
25001547
done5001547

prune164.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

98.2% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 2.4b

bsearch54.0ms

Steps
ItersRangePoint
9
4.887993281114414e-26
2.142008608447194e-19
8.194716042463526e-21
9
-417378.0376052807
-0.001391736753177052
-163097.39144225087

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218
done218

end0.0ms

sample344.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid