Details

Time bar (total: 6.9s)

sample13.0ms

Algorithm
intervals
Results
4.0ms234×body80valid
1.0ms11×body1280valid
0.0ms6×body640valid
0.0ms2×body2560valid
0.0ms2×body320valid
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:
20.0ms
(+ x (/ (- x y) 2.0))

series38.0ms

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

simplify79.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune31.0ms

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

rewrite215.0ms

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:
155.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
18.0ms
(cbrt (+ x (/ (- x y) 2.0)))
19.0ms
(cbrt (+ x (/ (- x y) 2.0)))
21.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series1.5s

Counts
4 → 12
Calls
4 calls:
378.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
384.0ms
(cbrt (+ x (/ (- x y) 2.0)))
390.0ms
(cbrt (+ x (/ (- x y) 2.0)))
376.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
02631109
17511044
22594956
35002940

prune339.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

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:
20.0ms
(cbrt (+ x (/ (- x y) 2.0)))
18.0ms
(cbrt (+ x (/ (- x y) 2.0)))
18.0ms
(cbrt (+ x (/ (- x y) 2.0)))
22.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.6s

Counts
4 → 12
Calls
4 calls:
400.0ms
(cbrt (+ x (/ (- x y) 2.0)))
398.0ms
(cbrt (+ x (/ (- x y) 2.0)))
399.0ms
(cbrt (+ x (/ (- x y) 2.0)))
396.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify84.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 4 (77.0ms)

IterNodesCost
0200630
1436592
21062584
33509572
45001564

prune264.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 56
Calls
4 calls:
20.0ms
(cbrt (+ x (/ (- x y) 2.0)))
18.0ms
(cbrt (+ x (/ (- x y) 2.0)))
18.0ms
(cbrt (+ x (/ (- x y) 2.0)))
18.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series1.6s

Counts
4 → 12
Calls
4 calls:
406.0ms
(cbrt (+ x (/ (- x y) 2.0)))
403.0ms
(cbrt (+ x (/ (- x y) 2.0)))
407.0ms
(cbrt (+ x (/ (- x y) 2.0)))
395.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 4 (64.0ms)

IterNodesCost
0144572
1316536
2807528
32835516
45002508

prune252.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.1b 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

sample340.0ms

Algorithm
intervals
Results
131.0ms7392×body80valid
16.0ms225×body1280valid
8.0ms95×body2560valid
8.0ms141×body640valid
5.0ms106×body320valid
1.0ms46×body160valid