Details

Time bar (total: 7.7s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify103.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1159
2359
3709
41209
51529
61679
71729
done1729

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize6.0ms

Local error

Found 1 expressions with local error:

14.5b
(/ (* (* x 2.0) y) (- x y))

rewrite12.0ms

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))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (* (* x 2.0) y) (- x y))

simplify868.0ms

Counts
34 → 34
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
079420
1215400
2987334
done5000334

prune64.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
6.2b
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
43×add-sqr-sqrt
35×*-un-lft-identity
32×add-cbrt-cube
31×cbrt-prod
30×associate-*r*
27×times-frac
23×add-cube-cbrt
20×cbrt-div
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp associate-*l*
10×flip3-- associate-/r/ flip--
6×pow1 distribute-lft-out-- difference-of-squares
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/ unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 131
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
63.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

series529.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- x y))
154.0ms
(cbrt (- x y))
154.0ms
(cbrt (- x y))
67.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

simplify1.2s

Counts
143 → 143
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02172688
16502562
231462049
done50012041

prune379.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.1b
(* (* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y)))))) (/ (cbrt y) (cbrt (cbrt (- x y)))))
2.8b
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
261×add-exp-log
133×add-cbrt-cube
128×prod-exp cbrt-unprod
119×cbrt-prod
88×associate-*r*
82×cbrt-undiv div-exp
73×times-frac
67×add-sqr-sqrt
62×*-un-lft-identity
50×add-cube-cbrt
36×cbrt-div
18×associate-/r/
14×frac-times associate-*l*
13×flip3-- flip--
11×pow1
10×associate-*l/
8×associate-*r/
6×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×div-inv unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 258
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
188.0ms
(* (* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y)))))) (/ (cbrt y) (cbrt (cbrt (- x y)))))
65.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))))

series627.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt y)
191.0ms
(cbrt y)
84.0ms
(* (* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y)))))) (/ (cbrt y) (cbrt (cbrt (- x y)))))
165.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))))

simplify635.0ms

Counts
270 → 270
Iterations

Useful iterations: done (624.0ms)

IterNodesCost
050211161
1162710788
done500010758

prune1.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.3b
(* (* x 2.0) (/ y (- x y)))

rewrite25.0ms

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))
16.0ms
(* (* x 2.0) (/ y (- x y)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- x y))
65.0ms
(* (* x 2.0) (/ y (- x y)))

simplify969.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (219.0ms)

IterNodesCost
0120947
1316888
21323788
done5000788

prune145.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes147.0ms

Accuracy

91.7% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 5.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02393
12693
done2693

end0.0ms

sample313.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid