Details

Time bar (total: 3.1s)

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)))

rewrite30.0ms

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:
4.0ms
(/ (* x y) 2.0)
14.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* x y) 2.0)
36.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
60.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06662632
126251869
250021712

prune200.0ms

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))))

rewrite48.0ms

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:
18.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
5.0ms
(/ x (/ 2.0 y))
13.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series118.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
23.0ms
(/ x (/ 2.0 y))
60.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify109.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
08712998
137332200
250012043

prune331.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

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)))
0.3b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.7b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
369×times-frac
332×*-un-lft-identity
255×add-sqr-sqrt
241×add-cube-cbrt
159×prod-diff
43×distribute-lft-out
22×add-exp-log associate-/r*
20×div-inv
16×add-cbrt-cube
10×div-exp
8×associate-/l*
6×cbrt-undiv add-log-exp
5×pow1 difference-of-squares
4×expm1-log1p-u associate-/r/ log1p-expm1-u
3×frac-2neg fma-neg clear-num
2×rec-exp 1-exp associate-/l/ distribute-lft-out--
1×sub-neg flip3-- pow-flip flip3-+ diff-log prod-exp flip-- cbrt-unprod flip-+ inv-pow
Counts
4 → 331
Calls
4 calls:
5.0ms
(/ (* x y) 2.0)
22.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
12.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series168.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* x y) 2.0)
34.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
60.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
54.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify98.0ms

Algorithm
egg-herbie
Counts
343 → 343
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014439147
150016299

prune371.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (/ 2.0 y))
0.2b
(/ x (/ 2.0 y))
3.3b
(sqrt (+ 1.0 (/ x (/ 2.0 y))))
3.3b
(sqrt (+ 1.0 (/ x (/ 2.0 y))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
110×add-sqr-sqrt
94×*-un-lft-identity
90×add-cube-cbrt
26×associate-/r*
14×add-exp-log add-cbrt-cube
10×div-inv
8×sqrt-prod
6×pow1 cbrt-undiv div-exp hypot-def associate-/l*
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 clear-num associate-/r/ flip-+ distribute-lft-out
Counts
4 → 186
Calls
4 calls:
6.0ms
(/ x (/ 2.0 y))
6.0ms
(/ x (/ 2.0 y))
14.0ms
(sqrt (+ 1.0 (/ x (/ 2.0 y))))
13.0ms
(sqrt (+ 1.0 (/ x (/ 2.0 y))))

series240.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ x (/ 2.0 y))
26.0ms
(/ x (/ 2.0 y))
98.0ms
(sqrt (+ 1.0 (/ x (/ 2.0 y))))
98.0ms
(sqrt (+ 1.0 (/ x (/ 2.0 y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04711208
119111150
250011144

prune605.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes50.0ms

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

sample332.0ms

Algorithm
intervals
Results
208.0ms8000×body80valid