Details

Time bar (total: 7.7s)

sample12.0ms

Algorithm
intervals
Results
4.0ms240×body80valid
1.0ms10×body1280valid
0.0ms5×body640valid
0.0ms1×body160valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(+ x (/ (- x y) 2.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune37.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))))

rewrite146.0ms

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:
12.0ms
(cbrt (+ x (/ (- x y) 2.0)))
12.0ms
(cbrt (+ x (/ (- x y) 2.0)))
14.0ms
(cbrt (+ x (/ (- x y) 2.0)))
104.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series1.6s

Counts
4 → 12
Calls
4 calls:
417.0ms
(cbrt (+ x (/ (- x y) 2.0)))
403.0ms
(cbrt (+ x (/ (- x y) 2.0)))
413.0ms
(cbrt (+ x (/ (- x y) 2.0)))
388.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify73.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
02631109
17591044
22601956
35001940

prune241.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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))))

rewrite699.0ms

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:
644.0ms
(* (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))))))
13.0ms
(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))))

series1.6s

Counts
4 → 12
Calls
4 calls:
375.0ms
(* (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))))))
405.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
399.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
401.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify144.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
07375233
116185088
245144815
350024695

prune487.0ms

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-div
38×cbrt-prod
14×*-un-lft-identity flip3-+ flip-+
10×add-sqr-sqrt add-cube-cbrt
8×frac-times
4×pow1 add-exp-log pow1/3 associate-*r/ associate-*l/ add-cbrt-cube add-log-exp
2×distribute-lft-out
Counts
4 → 74
Calls
4 calls:
12.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
16.0ms
(cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
28.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
3.0ms
(cbrt (cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
412.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
411.0ms
(cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
385.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
395.0ms
(cbrt (cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))))

simplify54.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
03601318
17511250
217241242
350011223

prune367.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes111.0ms

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

sample295.0ms

Algorithm
intervals
Results
129.0ms7366×body80valid
22.0ms237×body1280valid
11.0ms177×body640valid
8.0ms91×body2560valid
4.0ms83×body320valid
2.0ms51×body160valid