Details

Time bar (total: 8.3s)

sample20.0ms

Algorithm
intervals
Results
10.0ms240×body80valid
2.0ms10×body1280valid
1.0ms5×body640valid
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

localize8.0ms

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:
13.0ms
(+ x (/ (- x y) 2.0))

series37.0ms

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

simplify82.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune38.0ms

Pruning

5 alts after pruning (4 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)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

rewrite140.0ms

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:
11.0ms
(cbrt (+ x (/ (- x y) 2.0)))
12.0ms
(cbrt (+ x (/ (- x y) 2.0)))
14.0ms
(cbrt (+ x (/ (- x y) 2.0)))
99.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series1.9s

Counts
4 → 12
Calls
4 calls:
420.0ms
(cbrt (+ x (/ (- x y) 2.0)))
419.0ms
(cbrt (+ x (/ (- x y) 2.0)))
611.0ms
(cbrt (+ x (/ (- x y) 2.0)))
401.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify82.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
02631109
17591044
22601956
35001940

prune258.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite486.0ms

Algorithm
rewrite-expression-head
Rules
390×cbrt-div
136×frac-times
111×flip3-+ flip-+
50×associate-*r/
44×associate-*l/
37×cbrt-prod
20×*-un-lft-identity
15×pow1
13×add-exp-log add-cube-cbrt pow1/3
12×add-sqr-sqrt
9×pow-prod-down
7×associate-*l*
6×prod-exp add-cbrt-cube cbrt-unprod
5×pow-prod-up
4×distribute-lft-out add-log-exp
1×swap-sqr associate-*r* pow-sqr *-commutative
Counts
4 → 160
Calls
4 calls:
433.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (* (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))
12.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
12.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
12.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
404.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (* (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))
421.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
426.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
412.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify141.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
07375233
116225088
245424815
350024695

prune528.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-div
44×cbrt-prod
17×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×flip3-+ flip-+
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out
2×associate-*r/ associate-*l/
Counts
4 → 71
Calls
4 calls:
13.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
12.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
13.0ms
(cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
31.0ms
(cbrt (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
418.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
429.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
413.0ms
(cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
405.0ms
(cbrt (* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 4 (96.0ms)

IterNodesCost
03021096
16261036
214501028
346551010
450011007

prune346.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes113.0ms

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

sample549.0ms

Algorithm
intervals
Results
321.0ms7366×body80valid
42.0ms237×body1280valid
24.0ms177×body640valid
21.0ms91×body2560valid
9.0ms83×body320valid
4.0ms51×body160valid