Details

Time bar (total: 2.9s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

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: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.1b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite31.0ms

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:
3.0ms
(/ (* x y) 2.0)
17.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* x y) 2.0)
33.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
63.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0358510
11495479
25001473

prune156.0ms

Filtered
78 candidates to 57 candidates (73.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
0.5b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
5.5b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite40.0ms

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:
3.0ms
(/ (* x y) 2.0)
2.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
9.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
23.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series171.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* x y) 2.0)
33.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
53.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
65.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0492817
12438720
25001681

prune200.0ms

Filtered
123 candidates to 77 candidates (62.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.0b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
101×*-un-lft-identity
78×add-sqr-sqrt
64×add-cube-cbrt
22×add-exp-log associate-/r*
16×add-cbrt-cube distribute-lft-out
10×div-exp
8×div-inv associate-/l*
6×cbrt-undiv add-log-exp
5×pow1 difference-of-squares
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/l/ distribute-lft-out--
1×sub-neg flip3-- pow-flip flip3-+ diff-log prod-exp associate-/r/ flip-- cbrt-unprod flip-+ inv-pow
Counts
4 → 161
Calls
4 calls:
3.0ms
(/ (* x y) 2.0)
30.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
12.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
14.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series163.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* x y) 2.0)
36.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
56.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
52.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06101500
128771275
250031272

prune240.0ms

Filtered
173 candidates to 94 candidates (54.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
0.4b
(/ x (sqrt 2.0))
0.5b
(/ y (sqrt 2.0))
6.1b
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
93×times-frac
68×add-cube-cbrt *-un-lft-identity
48×sqrt-prod
22×add-exp-log associate-*r* associate-*l* add-cbrt-cube
15×associate-/r*
9×associate-/l* unswap-sqr
7×cbrt-undiv div-exp
6×pow1
5×div-inv
4×prod-exp cbrt-unprod add-log-exp
3×frac-2neg clear-num
2×associate-/r/
1×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 180
Calls
4 calls:
23.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
3.0ms
(/ x (sqrt 2.0))
3.0ms
(/ y (sqrt 2.0))
7.0ms
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

series580.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
56.0ms
(/ x (sqrt 2.0))
51.0ms
(/ y (sqrt 2.0))
329.0ms
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06151422
128771324
250021274

prune385.0ms

Filtered
192 candidates to 127 candidates (66.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b 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
01512
11512

end0.0ms

sample348.0ms

Algorithm
intervals
Results
217.0ms7999×body80valid
0.0ms1×body2560valid