Details

Time bar (total: 7.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms233×body80valid
1.0ms9×body1280valid
1.0ms4×body2560valid
0.0ms4×body640valid
0.0ms4×body160valid
0.0ms2×body320valid

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
12.0ms
(+ x (/ (- x y) 2.0))

series37.0ms

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

simplify77.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune35.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

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×frac-times add-cbrt-cube 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 → 95
Calls
4 calls:
102.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
14.0ms
(cbrt (+ x (/ (- x y) 2.0)))
12.0ms
(cbrt (+ x (/ (- x y) 2.0)))
12.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series1.6s

Counts
4 → 12
Calls
4 calls:
386.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
409.0ms
(cbrt (+ x (/ (- x y) 2.0)))
410.0ms
(cbrt (+ x (/ (- x y) 2.0)))
404.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
02631109
17511044
22594956
35002940

prune236.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
17×*-un-lft-identity
10×cbrt-div
9×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 59
Calls
4 calls:
12.0ms
(cbrt (+ x (/ (- x y) 2.0)))
12.0ms
(cbrt (+ x (/ (- x y) 2.0)))
12.0ms
(cbrt (+ x (/ (- x y) 2.0)))
13.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
419.0ms
(cbrt (+ x (/ (- x y) 2.0)))
416.0ms
(cbrt (+ x (/ (- x y) 2.0)))
415.0ms
(cbrt (+ x (/ (- x y) 2.0)))
410.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify81.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 4 (74.0ms)

IterNodesCost
0200630
1436592
21062584
33509572
45001564

prune248.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.9b
(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
22×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
12×cbrt-div
10×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 76
Calls
4 calls:
12.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
13.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
13.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
30.0ms
(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

series1.9s

Counts
4 → 12
Calls
4 calls:
421.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
420.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
418.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
617.0ms
(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

simplify96.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0313882
1869832
23009796
35001781

prune246.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes97.0ms

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
073
173

end0.0ms

sample428.0ms

Algorithm
intervals
Results
239.0ms7413×body80valid
24.0ms198×body1280valid
15.0ms166×body640valid
12.0ms96×body2560valid
6.0ms81×body320valid
5.0ms52×body160valid