Details

Time bar (total: 4.3s)

sample14.0ms

Algorithm
intervals
Results
4.0ms231×body80valid
1.0ms11×body1280valid
0.0ms4×body640valid
0.0ms4×body320valid
0.0ms2×body2560valid
0.0ms4×body160valid

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))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×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:
10.0ms
(+ x (/ (- x y) 2.0))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(+ x (/ (- x y) 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 4 (95.0ms)

IterNodesCost
09789
126181
277381
3372781
4500180

prune62.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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
6×add-log-exp
4×fma-neg div-inv
2×diff-log frac-sub distribute-lft-out-- difference-of-squares
1×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:
14.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

series46.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04511522
114431047
25002936

prune99.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
0.5b
(cbrt (+ x (/ x 2.0)))
0.5b
(cbrt (+ x (/ x 2.0)))
0.5b
(cbrt (+ x (/ x 2.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
17.0ms
(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
6.0ms
(cbrt (+ x (/ x 2.0)))
9.0ms
(cbrt (+ x (/ x 2.0)))
6.0ms
(cbrt (+ x (/ x 2.0)))

series917.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
221.0ms
(cbrt (+ x (/ x 2.0)))
217.0ms
(cbrt (+ x (/ x 2.0)))
219.0ms
(cbrt (+ x (/ x 2.0)))

simplify92.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0183879
1576828
22517761
35001756

prune350.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ x 2.0)))
0.5b
(cbrt (+ x (/ x 2.0)))
0.5b
(cbrt (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))))
0.6b
(cbrt (cbrt (+ x (/ x 2.0))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
20×cbrt-prod
14×*-un-lft-identity
9×flip3-+ flip-+
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u frac-times pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-out
2×associate-*r/ associate-*l/
Counts
4 → 70
Calls
4 calls:
6.0ms
(cbrt (+ x (/ x 2.0)))
6.0ms
(cbrt (+ x (/ x 2.0)))
15.0ms
(cbrt (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))))
7.0ms
(cbrt (cbrt (+ x (/ x 2.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (+ x (/ x 2.0)))
225.0ms
(cbrt (+ x (/ x 2.0)))
512.0ms
(cbrt (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))))
445.0ms
(cbrt (cbrt (+ x (/ x 2.0))))

simplify145.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0190696
1389656
21172648
34429646
45001646

prune355.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes108.0ms

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
073
173

end0.0ms

sample335.0ms

Algorithm
intervals
Results
145.0ms7359×body80valid
23.0ms239×body1280valid
9.0ms150×body640valid
8.0ms89×body2560valid
5.0ms96×body320valid
2.0ms71×body160valid