Details

Time bar (total: 5.4s)

sample13.0ms

Algorithm
intervals
Results
5.0ms240×body80valid
0.0ms6×body1280valid
0.0ms4×body640valid
0.0ms4×body320valid
0.0ms1×body2560valid
0.0ms1×body160valid

simplify21.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
8.0ms
(+ x (/ (- x y) 2.0))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(+ x (/ (- x y) 2.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune35.0ms

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))) (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)))

rewrite52.0ms

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:
21.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
11.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series1.7s

Counts
4 → 12
Calls
4 calls:
401.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
430.0ms
(cbrt (+ x (/ (- x y) 2.0)))
423.0ms
(cbrt (+ x (/ (- x y) 2.0)))
413.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
02631109
17511044
22594956
35002940

prune247.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
37×cbrt-prod
19×*-un-lft-identity
14×cbrt-div
11×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 → 65
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
14.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
429.0ms
(cbrt (+ x (/ (- x y) 2.0)))
430.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
424.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
429.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify83.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 4 (75.0ms)

IterNodesCost
0200746
1436704
21062696
33509684
45001676

prune258.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))
0.0b
(sqrt (+ x (/ (- x y) 2.0)))
0.0b
(sqrt (+ x (/ (- x y) 2.0)))
0.2b
(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+r- pow-plus sqrt-unprod div-sub prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
9.0ms
(+ x (/ (- x y) 2.0))
9.0ms
(sqrt (+ x (/ (- x y) 2.0)))
8.0ms
(sqrt (+ x (/ (- x y) 2.0)))
21.0ms
(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ x (/ (- x y) 2.0))
90.0ms
(sqrt (+ x (/ (- x y) 2.0)))
89.0ms
(sqrt (+ x (/ (- x y) 2.0)))
41.0ms
(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

simplify199.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0235807
1845731
24760705
35001705

prune182.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes67.0ms

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

sample323.0ms

Algorithm
intervals
Results
144.0ms7396×body80valid
16.0ms204×body1280valid
10.0ms160×body640valid
9.0ms90×body2560valid
5.0ms102×body320valid
2.0ms50×body160valid