Details

Time bar (total: 2.5s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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)
9.2b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
16×times-frac
14×add-cube-cbrt
10×add-exp-log add-cbrt-cube
7×associate-/r*
5×add-log-exp
4×distribute-lft-out associate-/l*
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 → 69
Calls
3 calls:
17.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms
(/ (* x y) 2.0)
9.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series116.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
19.0ms
(/ (* x y) 2.0)
64.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0358510
11495479
25001473

prune144.0ms

Filtered
78 candidates to 57 candidates (73.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)
0.3b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
8.9b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
31×add-sqr-sqrt
29×times-frac
24×add-cube-cbrt
22×add-exp-log
18×associate-*r*
16×add-cbrt-cube
7×pow1 associate-/r* distribute-lft-out
6×div-exp add-log-exp
5×prod-exp
4×cbrt-undiv associate-/r/ associate-/l*
3×associate-*l* cbrt-unprod div-inv unswap-sqr
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+
1×sub-neg flip3-- pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative flip-- inv-pow
Counts
4 → 111
Calls
4 calls:
2.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
3.0ms
(/ (* x y) 2.0)
8.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
22.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series163.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
21.0ms
(/ (* x y) 2.0)
47.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
63.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify60.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0492817
12438720
25001681

prune196.0ms

Filtered
123 candidates to 76 candidates (61.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
0.2b
(/ x (/ 2.0 y))
9.2b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
88×times-frac
64×*-un-lft-identity
59×add-sqr-sqrt
54×add-cube-cbrt
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp distribute-lft-out
3×pow1 associate-/r/
2×frac-2neg clear-num difference-of-squares
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+ distribute-lft-out--
Counts
3 → 118
Calls
3 calls:
57.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
5.0ms
(/ x (/ 2.0 y))
32.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series120.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
19.0ms
(/ x (/ 2.0 y))
66.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify63.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0565876
12497841
25002841

prune265.0ms

Filtered
127 candidates to 99 candidates (78.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (+ 1.0 (/ x (/ 2.0 y))) y)))
0.1b
(/ 1 (/ (+ 1.0 (/ x (/ 2.0 y))) y))
0.2b
(/ x (/ 2.0 y))
9.1b
(/ (+ 1.0 (/ x (/ 2.0 y))) y)

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
189×times-frac
141×*-un-lft-identity
118×add-sqr-sqrt
104×add-cube-cbrt
32×associate-/r*
22×add-exp-log
16×add-cbrt-cube distribute-lft-out
12×div-inv
11×div-exp
10×associate-/l*
7×cbrt-undiv
6×add-log-exp
5×pow1 difference-of-squares
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/r/ associate-/l/ distribute-lft-out--
1×sub-neg flip3-- pow-flip flip3-+ diff-log flip-- flip-+ inv-pow
Counts
4 → 210
Calls
4 calls:
68.0ms
(- x (/ 1 (/ (+ 1.0 (/ x (/ 2.0 y))) y)))
37.0ms
(/ 1 (/ (+ 1.0 (/ x (/ 2.0 y))) y))
8.0ms
(/ x (/ 2.0 y))
50.0ms
(/ (+ 1.0 (/ x (/ 2.0 y))) y)

series170.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- x (/ 1 (/ (+ 1.0 (/ x (/ 2.0 y))) y)))
60.0ms
(/ 1 (/ (+ 1.0 (/ x (/ 2.0 y))) y))
20.0ms
(/ x (/ 2.0 y))
55.0ms
(/ (+ 1.0 (/ x (/ 2.0 y))) y)

simplify91.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08081866
137251632
250011629

prune370.0ms

Filtered
222 candidates to 136 candidates (61.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes25.0ms

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
0166
1166

end0.0ms

sample328.0ms

Algorithm
intervals
Results
206.0ms7999×body80valid
0.0ms1×body2560valid