Details

Time bar (total: 2.1s)

sample23.0ms

Algorithm
intervals
Results
14.0ms256×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: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
5.3b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
add-exp-log add-cbrt-cube
associate-/r*
distribute-lft-out associate-/l*
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u div-inv add-log-exp
flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 58
Calls
2 calls:
3.0ms
(/ (* x y) 2.0)
8.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* x y) 2.0)
64.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0306377
11339349
25001342

prune126.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ x (/ 2.0 y))
5.3b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
61×*-un-lft-identity
53×add-sqr-sqrt add-cube-cbrt
17×associate-/r*
add-exp-log add-cbrt-cube
div-inv associate-/l*
cbrt-undiv div-exp distribute-lft-out
associate-/r/
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
flip3-+ flip-+
Counts
2 → 107
Calls
2 calls:
5.0ms
(/ x (/ 2.0 y))
34.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series83.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ x (/ 2.0 y))
64.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0514743
12332705
25003699

prune256.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.2b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
95×*-un-lft-identity
63×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
21×add-exp-log
16×distribute-lft-out
15×add-cbrt-cube
10×div-exp
associate-/l*
div-inv
cbrt-undiv
pow1
expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
rec-exp 1-exp associate-/l/
pow-flip flip3-+ prod-exp associate-/r/ cbrt-unprod flip-+ inv-pow
Counts
3 → 148
Calls
3 calls:
3.0ms
(/ (* x y) 2.0)
11.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
14.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series135.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (* x y) 2.0)
59.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
54.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify66.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05451294
126781161
250011051

prune241.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log
associate-/r* add-cbrt-cube associate-/l*
pow1 div-exp
cbrt-undiv expm1-log1p-u rec-exp pow-flip frac-2neg 1-exp clear-num log1p-expm1-u div-inv inv-pow add-log-exp
Counts
1 → 33
Calls
1 calls:
2.0ms
(/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))

simplify108.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0167269
1641242
23405226
35002225

prune61.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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
0135
1135

end0.0ms

sample605.0ms

Algorithm
intervals
Results
463.0ms7999×body80valid
0.0msbody1280valid