Details

Time bar (total: 3.5s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2265
3295
4305
5305

prune2.0ms

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) 2.0)
0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
5.8b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
85×*-un-lft-identity
62×add-sqr-sqrt
57×add-cube-cbrt
54×prod-diff
52×times-frac
13×distribute-lft-out
10×add-exp-log add-cbrt-cube
8×associate-/r/
7×associate-/r*
5×div-inv add-log-exp
4×flip3-+ flip-+ associate-/l*
3×pow1 cbrt-undiv expm1-log1p-u fma-neg div-exp log1p-expm1-u
2×frac-2neg clear-num difference-of-squares
1×sub-neg flip3-- diff-log prod-exp flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 132
Calls
3 calls:
5.0ms
(/ (* x y) 2.0)
12.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series122.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* x y) 2.0)
38.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
64.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06662632
126251869
250021712

prune221.0ms

Pruning

4 alts after pruning (3 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))
5.8b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
124×times-frac
102×add-sqr-sqrt
97×add-cube-cbrt
54×prod-diff
17×associate-/r*
13×distribute-lft-out
10×add-exp-log add-cbrt-cube
9×associate-/r/ div-inv
6×associate-/l*
5×add-log-exp
4×cbrt-undiv flip3-+ div-exp flip-+
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×frac-2neg clear-num difference-of-squares
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 181
Calls
3 calls:
22.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
6.0ms
(/ x (/ 2.0 y))
19.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series128.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
20.0ms
(/ x (/ 2.0 y))
69.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify106.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
08712998
137332200
250012043

prune372.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
0.3b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
5.7b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
217×add-sqr-sqrt
208×*-un-lft-identity
203×add-cube-cbrt
132×prod-diff
19×div-inv
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×associate-/l*
5×add-log-exp difference-of-squares
4×pow1 cbrt-undiv associate-/r/
3×expm1-log1p-u fma-neg log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log flip-- inv-pow
Counts
3 → 263
Calls
3 calls:
19.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
6.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
3.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series146.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
63.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
48.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify83.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012996937
150014721

prune352.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b
(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
3.3b
(sqrt (+ 1.0 (/ (* x y) 2.0)))
3.3b
(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
232×sqrt-prod
196×add-sqr-sqrt
190×add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
24×sqrt-div
20×associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-exp-log add-cbrt-cube
10×div-inv
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num hypot-def
1×associate-/l/
Counts
4 → 327
Calls
4 calls:
7.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
23.0ms
(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
5.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
5.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

series614.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
66.0ms
(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
99.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
245.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify104.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
08425582
132914964
250014902

prune558.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes51.0ms

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
0115
1115

end0.0ms

sample336.0ms

Algorithm
intervals
Results
208.0ms8000×body80valid