Details

Time bar (total: 1.7s)

analyze48.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
50%50%0.1%5
62.4%37.5%0.1%6
74.9%25%0.1%7
81.2%18.7%0.1%8
87.4%12.5%0.1%9
90.5%9.4%0.1%10
93.7%6.2%0.1%11
95.2%4.7%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify167.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (166.0ms)

IterNodesCost
0264111
1264111

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b
(+ 1.0 (/ (* x y) 2.0))
9.1b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
17×add-sqr-sqrt
13×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube distribute-lft-out
4×associate-/r*
3×pow1 associate-/l*
2×flip3-+ associate-/r/ flip-+ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
3 → 59
Calls
3 calls:
10.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
4.0ms
(+ 1.0 (/ (* x y) 2.0))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
8.0ms
(+ 1.0 (/ (* x y) 2.0))
12.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify30.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05243949

prune88.0ms

Filtered
54 candidates to 68 candidates (-25.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh011
Picked011
Done000
Total67370

Merged error: 0b

Counts
70 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
0.0b
(+ (/ x 2.0) (/ 1.0 y))
0.1b
(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
25×times-frac
13×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
7×add-log-exp
5×add-exp-log associate-/r* add-cbrt-cube
3×pow1 flip3-+ associate-/r/ flip-+ associate-/l*
2×+-commutative frac-add sum-log
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 64
Calls
3 calls:
16.0ms
(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
11.0ms
(+ (/ x 2.0) (/ 1.0 y))
15.0ms
(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ x (/ -1 (+ (/ x 2.0) (/ 1.0 y))))
5.0ms
(+ (/ x 2.0) (/ 1.0 y))
9.0ms
(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05077944

prune84.0ms

Filtered
52 candidates to 73 candidates (-40.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh011
Picked011
Done011
Total73376

Merged error: 0b

Counts
76 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (/ 1 (* (cbrt (+ 1.0 (* y (/ x 2.0)))) (cbrt (+ 1.0 (* y (/ x 2.0)))))) (/ y (cbrt (+ 1.0 (* y (/ x 2.0))))))
9.3b
(cbrt (+ 1.0 (* y (/ x 2.0))))
9.3b
(cbrt (+ 1.0 (* y (/ x 2.0))))
9.3b
(cbrt (+ 1.0 (* y (/ x 2.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
25.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* y (/ x 2.0)))) (cbrt (+ 1.0 (* y (/ x 2.0)))))) (/ y (cbrt (+ 1.0 (* y (/ x 2.0))))))
3.0ms
(cbrt (+ 1.0 (* y (/ x 2.0))))
3.0ms
(cbrt (+ 1.0 (* y (/ x 2.0))))
3.0ms
(cbrt (+ 1.0 (* y (/ x 2.0))))

series139.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* y (/ x 2.0)))) (cbrt (+ 1.0 (* y (/ x 2.0)))))) (/ y (cbrt (+ 1.0 (* y (/ x 2.0))))))
41.0ms
(cbrt (+ 1.0 (* y (/ x 2.0))))
44.0ms
(cbrt (+ 1.0 (* y (/ x 2.0))))
41.0ms
(cbrt (+ 1.0 (* y (/ x 2.0))))

simplify63.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049592885
149592885

prune322.0ms

Filtered
101 candidates to 131 candidates (-29.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done022
Total1313134

Merged error: 0b

Counts
134 → 3

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02811
12811

end0.0ms

sample398.0ms

Algorithm
intervals
Results
272.0ms8000×body80valid

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