Details

Time bar (total: 3.8s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b
(/ (* x y) 2.0)
7.2b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
49×times-frac
47×*-un-lft-identity
37×add-cube-cbrt
15×associate-/l*
12×associate-*r* associate-*l*
10×add-exp-log add-cbrt-cube
7×associate-/r*
5×add-log-exp
4×*-commutative distribute-lft-out unswap-sqr
3×pow1 cbrt-undiv div-exp
2×frac-2neg clear-num associate-/r/ div-inv difference-of-squares
1×sub-neg flip3-- flip3-+ diff-log prod-exp flip-- cbrt-unprod flip-+ distribute-lft-out--
Counts
3 → 113
Calls
3 calls:
18.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
10.0ms
(/ (* x y) 2.0)
13.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
22.0ms
(/ (* x y) 2.0)
70.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify69.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0497765
12138731
25001731

prune189.0ms

Filtered
122 candidates to 92 candidates (24.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1184122
Fresh000
Picked101
Done000
Total1194123

Merged error: 0b

Counts
123 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ y (/ 2.0 x)))))
0.2b
(/ y (/ 2.0 x))
7.2b
(/ y (+ 1.0 (/ y (/ 2.0 x))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
88×times-frac
66×*-un-lft-identity
61×add-sqr-sqrt
56×add-cube-cbrt
20×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×div-inv
5×add-log-exp
4×cbrt-undiv div-exp distribute-lft-out
3×pow1 frac-2neg clear-num
2×difference-of-squares
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+ distribute-lft-out--
Counts
3 → 126
Calls
3 calls:
23.0ms
(- x (/ y (+ 1.0 (/ y (/ 2.0 x)))))
6.0ms
(/ y (/ 2.0 x))
16.0ms
(/ y (+ 1.0 (/ y (/ 2.0 x))))

series129.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- x (/ y (+ 1.0 (/ y (/ 2.0 x)))))
19.0ms
(/ y (/ 2.0 x))
73.0ms
(/ y (+ 1.0 (/ y (/ 2.0 x))))

simplify72.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0563897
12428860
25002860

prune228.0ms

Filtered
135 candidates to 106 candidates (21.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1350135
Fresh033
Picked011
Done000
Total1354139

Merged error: 0b

Counts
139 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
0.0b
(/ (* x y) 2.0)
0.2b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
7.0b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
72×*-un-lft-identity
64×times-frac
49×add-cube-cbrt
30×associate-*r*
22×add-exp-log
19×associate-/l*
16×associate-*l* add-cbrt-cube
11×associate-/r*
10×associate-*r/ unswap-sqr
8×distribute-lft-out
7×pow1
6×div-exp add-log-exp
5×prod-exp *-commutative
4×cbrt-undiv clear-num associate-/r/ difference-of-squares
3×frac-2neg un-div-inv cbrt-unprod div-inv
2×rec-exp flip3-+ 1-exp flip-+ distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log pow-prod-down flip-- inv-pow
Counts
4 → 172
Calls
4 calls:
26.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
7.0ms
(/ (* x y) 2.0)
14.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
20.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series185.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
24.0ms
(/ (* x y) 2.0)
54.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
71.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify84.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06611179
130601074
250011031

prune255.0ms

Filtered
184 candidates to 120 candidates (34.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1840184
Fresh022
Picked011
Done011
Total1844188

Merged error: 0b

Counts
188 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

1.8b
(/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
7.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
7.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
7.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
138×*-un-lft-identity
108×cbrt-prod add-sqr-sqrt
96×times-frac
76×add-cube-cbrt
36×swap-sqr
32×associate-/r*
28×associate-*r* associate-*l*
27×distribute-lft-out
18×cbrt-div
16×unswap-sqr
14×add-cbrt-cube
9×add-exp-log flip3-+ flip-+
8×associate-/r/
5×cbrt-undiv
4×pow1 frac-times *-commutative cbrt-unprod add-log-exp
3×pow1/3 associate-/l*
2×associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num div-inv
Counts
4 → 198
Calls
4 calls:
35.0ms
(/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
12.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
12.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
14.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
453.0ms
(/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
265.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
267.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
266.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify90.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07363278
129403064
250012825

prune401.0ms

Filtered
210 candidates to 128 candidates (39.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2100210
Fresh011
Picked011
Done022
Total2104214

Merged error: 0b

Counts
214 → 4

regimes34.0ms

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 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample334.0ms

Algorithm
intervals
Results
203.0ms8000×body80valid