Details

Time bar (total: 3.9s)

sample20.0ms

Algorithm
intervals
Results
9.0ms234×body80valid
1.0msbody1280valid
1.0msbody640valid
0.0msbody320valid
0.0msbody2560valid
0.0msbody160valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1193
2293
3413
4513
5793
61343
71693
81853
92133
102263
112263

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
14.0ms
(+ x (/ (- x y) 2.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(+ x (/ (- x y) 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 4 (94.0ms)

IterNodesCost
09789
126181
277381
3372781
4500180

prune60.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (+ x (/ x 2.0)) (/ y 2.0))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
52×prod-diff
48×add-sqr-sqrt
43×add-cube-cbrt
37×times-frac
15×distribute-lft-out
add-log-exp
fma-neg div-inv
diff-log frac-sub distribute-lft-out-- difference-of-squares
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- flip3-+ associate--l+ sum-log add-cbrt-cube flip-- flip-+ log1p-expm1-u
Counts
1 → 78
Calls
1 calls:
75.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04511522
114431047
25002936

prune103.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series839.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (cbrt x) (cbrt x))
201.0ms
(cbrt x)
202.0ms
(cbrt x)
209.0ms
(cbrt x)

simplify104.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune279.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series821.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt x)
201.0ms
(cbrt x)
203.0ms
(cbrt x)
208.0ms
(cbrt x)

simplify151.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune246.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample747.0ms

Algorithm
intervals
Results
524.0ms7390×body80valid
36.0ms223×body1280valid
21.0ms167×body640valid
17.0ms92×body2560valid
9.0ms96×body320valid
2.0ms35×body160valid