Details

Time bar (total: 1.6s)

analyze51.0ms

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

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify175.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (173.0ms)

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 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
25×times-frac
12×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
5×associate-/r*
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r/ associate-/l*
2×pow1 flip3-+ frac-add flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 52
Calls
2 calls:
12.0ms
(+ (/ x 2.0) (/ 1.0 y))
12.0ms
(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (/ x 2.0) (/ 1.0 y))
14.0ms
(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05021732

prune69.0ms

Filtered
40 candidates to 58 candidates (-45.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh101
Picked011
Done000
Total58260

Merged error: 0.0b

Counts
60 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

1.1b
(/ -1 (+ (* x y) (* 2.0 1.0)))
7.9b
(* (/ -1 (+ (* x y) (* 2.0 1.0))) (* 2.0 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
15×associate-*l*
7×pow1
6×prod-exp cbrt-unprod
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/r* associate-/l*
2×flip3-+ flip-+ div-inv add-log-exp
1×frac-2neg associate-*r* associate-*l/ clear-num *-commutative
Counts
2 → 64
Calls
2 calls:
5.0ms
(/ -1 (+ (* x y) (* 2.0 1.0)))
10.0ms
(* (/ -1 (+ (* x y) (* 2.0 1.0))) (* 2.0 y))

series21.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ -1 (+ (* x y) (* 2.0 1.0)))
11.0ms
(* (/ -1 (+ (* x y) (* 2.0 1.0))) (* 2.0 y))

simplify61.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049601000
149601000

prune99.0ms

Filtered
54 candidates to 70 candidates (-29.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh000
Picked101
Done011
Total70272

Merged error: 0b

Counts
72 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x y) (* x y))
4.4b
(+ (* (* x y) (* x y)) (- (* (* 2.0 1.0) (* 2.0 1.0)) (* (* x y) (* 2.0 1.0))))
7.9b
(* (* (/ -1 (+ (pow (* x y) 3) (pow (* 2.0 1.0) 3))) (+ (* (* x y) (* x y)) (- (* (* 2.0 1.0) (* 2.0 1.0)) (* (* x y) (* 2.0 1.0))))) (* 2.0 y))
21.8b
(* (/ -1 (+ (pow (* x y) 3) (pow (* 2.0 1.0) 3))) (+ (* (* x y) (* x y)) (- (* (* 2.0 1.0) (* 2.0 1.0)) (* (* x y) (* 2.0 1.0)))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
57×pow1
42×add-exp-log add-cbrt-cube
26×pow-prod-down
23×associate-*l* prod-exp cbrt-unprod
20×*-un-lft-identity
19×add-sqr-sqrt
16×times-frac
14×add-cube-cbrt
9×add-log-exp
7×associate-*l/
6×flip3-+ flip-+
5×associate-*r*
4×frac-times associate-*r/ pow-sqr pow-prod-up
3×cbrt-undiv div-exp sum-cubes *-commutative distribute-lft-out
2×pow-plus sum-log associate-/r/ unswap-sqr
1×+-commutative pow2 distribute-rgt-in associate-+r- sub-neg associate-+r+ distribute-lft-in diff-log swap-sqr div-inv
Counts
4 → 125
Calls
4 calls:
6.0ms
(* (* x y) (* x y))
12.0ms
(+ (* (* x y) (* x y)) (- (* (* 2.0 1.0) (* 2.0 1.0)) (* (* x y) (* 2.0 1.0))))
27.0ms
(* (* (/ -1 (+ (pow (* x y) 3) (pow (* 2.0 1.0) 3))) (+ (* (* x y) (* x y)) (- (* (* 2.0 1.0) (* 2.0 1.0)) (* (* x y) (* 2.0 1.0))))) (* 2.0 y))
25.0ms
(* (/ -1 (+ (pow (* x y) 3) (pow (* 2.0 1.0) 3))) (+ (* (* x y) (* x y)) (- (* (* 2.0 1.0) (* 2.0 1.0)) (* (* x y) (* 2.0 1.0)))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* x y) (* x y))
11.0ms
(+ (* (* x y) (* x y)) (- (* (* 2.0 1.0) (* 2.0 1.0)) (* (* x y) (* 2.0 1.0))))
28.0ms
(* (* (/ -1 (+ (pow (* x y) 3) (pow (* 2.0 1.0) 3))) (+ (* (* x y) (* x y)) (- (* (* 2.0 1.0) (* 2.0 1.0)) (* (* x y) (* 2.0 1.0))))) (* 2.0 y))
26.0ms
(* (/ -1 (+ (pow (* x y) 3) (pow (* 2.0 1.0) 3))) (+ (* (* x y) (* x y)) (- (* (* 2.0 1.0) (* 2.0 1.0)) (* (* x y) (* 2.0 1.0)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049893468
149893468

prune244.0ms

Filtered
83 candidates to 137 candidates (-65.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh000
Picked011
Done011
Total1372139

Merged error: 0b

Counts
139 → 2

regimes65.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211
11211

end0.0ms

sample399.0ms

Algorithm
intervals
Results
267.0ms8000×body80valid

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