Details

Time bar (total: 3.2s)

sample13.0ms

Algorithm
intervals
Results
4.0ms234×body80valid
1.0msbody1280valid
1.0msbody640valid
0.0msbody160valid
0.0msbody2560valid

simplify24.0ms

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))

rewrite15.0ms

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:
15.0ms
(+ x (/ (- x y) 2.0))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ x (/ (- x y) 2.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 4 (83.0ms)

IterNodesCost
09789
126181
277381
3372781
4500180

prune54.0ms

Pruning

6 alts after pruning (6 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))

rewrite74.0ms

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:
69.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04511522
114431047
25002936

prune85.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite12.0ms

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:
8.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series742.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt x) (cbrt x))
188.0ms
(cbrt x)
177.0ms
(cbrt x)
176.0ms
(cbrt x)

simplify94.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune249.0ms

Pruning

6 alts after pruning (5 fresh and 1 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 (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×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 → 53
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
2.0ms
(cbrt (* (cbrt x) (cbrt x)))
1.0ms
(cbrt (cbrt x))

series893.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
182.0ms
(cbrt x)
282.0ms
(cbrt (* (cbrt x) (cbrt x)))
247.0ms
(cbrt (cbrt x))

simplify114.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (110.0ms)

IterNodesCost
0112239
1242219
2759209
33150209
45001204

prune231.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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
084
184

end0.0ms

sample307.0ms

Algorithm
intervals
Results
137.0ms7409×body80valid
15.0ms202×body1280valid
9.0ms148×body640valid
8.0ms90×body2560valid
5.0ms99×body320valid
2.0ms56×body160valid