Details

Time bar (total: 11.1s)

sample13.0ms

Algorithm
intervals
Results
4.0ms244×body80valid
0.0ms7×body640valid
0.0ms2×body320valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify20.0ms

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))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls
1 calls:
21.0ms
(+ x (/ (- x y) 2.0))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(+ x (/ (- x y) 2.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune35.0ms

Pruning

4 alts after pruning (4 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))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-log-exp
2×diff-log frac-sub distribute-lft-out-- difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- flip3-+ times-frac associate--l+ sum-log add-cbrt-cube flip-- flip-+ distribute-lft-out
Counts
1 → 20
Calls
1 calls:
88.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0161176
1472166
21719162
35002162

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite450.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
65×cbrt-prod
58×add-sqr-sqrt
52×cbrt-div
26×frac-sub
22×distribute-lft-out--
16×frac-times swap-sqr
15×add-cube-cbrt
14×difference-of-squares
13×flip3-- flip3-+ flip-- flip-+
11×pow1 distribute-lft-out
10×associate-*r* associate-*l*
9×pow1/3
7×times-frac
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
39.0ms
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
39.0ms
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
40.0ms
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
323.0ms
(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
429.0ms
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
420.0ms
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
424.0ms
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
396.0ms
(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))

simplify91.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
03802327
111312248
239922099
350012082

prune373.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
3152×cbrt-div
1392×frac-times
1024×frac-sub
512×flip3-- flip3-+ flip-- flip-+
248×associate-*r/
228×associate-*l/
76×cbrt-prod *-un-lft-identity
60×add-sqr-sqrt
22×distribute-lft-out--
20×associate-*l*
18×add-cube-cbrt
17×swap-sqr
16×pow1
14×difference-of-squares
11×add-exp-log pow1/3 associate-*r* distribute-lft-out
7×times-frac pow-prod-down
5×add-cbrt-cube
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 774
Calls
4 calls:
39.0ms
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
323.0ms
(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
432.0ms
(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (* (cbrt (* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))) (cbrt (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))))
43.0ms
(cbrt (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))

series1.9s

Counts
4 → 12
Calls
4 calls:
441.0ms
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
409.0ms
(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
401.0ms
(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (* (cbrt (* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))) (cbrt (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))))
663.0ms
(cbrt (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))

simplify394.0ms

Algorithm
egg-herbie
Counts
786 → 786
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0405747066
1500146932

prune4.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample340.0ms

Algorithm
intervals
Results
127.0ms7426×body80valid
14.0ms196×body1280valid
11.0ms134×body640valid
8.0ms92×body2560valid
4.0ms91×body320valid
2.0ms62×body160valid