Details

Time bar (total: 2.6s)

sample27.0ms

Algorithm
intervals
Results
11.0ms292×body80valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0246
1466
2736
3996
41196
51456
61786
72536
83336
94676
104676

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg associate-+l+ diff-log sum-log add-cbrt-cube
1×+-commutative associate-+l- flip3-- flip3-+ associate-*l/ frac-sub flip-- flip-+ distribute-lft-out
Counts
2 → 29
Calls
2 calls:
8.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
6.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series20.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
9.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0188275
1585260
22356255
35002255

prune45.0ms

Filtered
35 candidates to 26 candidates (25.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh000
Picked011
Done000
Total34236

Merged error: 0.0b

Counts
36 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×associate-*l/
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 97
Calls
4 calls:
15.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
6.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
6.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
6.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
47.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
44.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
47.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify137.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03301647
110671554
248591466
350011466

prune299.0ms

Filtered
109 candidates to 82 candidates (24.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1081109
Fresh000
Picked011
Done011
Total1083111

Merged error: 0.0b

Counts
111 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (* (* 1.0 x) 2.0) (* 8.0 (* y z))))
0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
1.0b
(cbrt (* 8.0 2.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
8×cbrt-div
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
2×associate-*l/ frac-sub
Counts
4 → 50
Calls
4 calls:
4.0ms
(cbrt (- (* (* 1.0 x) 2.0) (* 8.0 (* y z))))
6.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
8.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
2.0ms
(cbrt (* 8.0 2.0))

series132.0ms

Counts
4 → 10
Calls
4 calls:
43.0ms
(cbrt (- (* (* 1.0 x) 2.0) (* 8.0 (* y z))))
45.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
43.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.0ms
(cbrt (* 8.0 2.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0316626
1962582
24026574
35001565

prune182.0ms

Filtered
60 candidates to 55 candidates (8.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh000
Picked011
Done022
Total60363

Merged error: 0.0b

Counts
63 → 3

regimes483.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample735.0ms

Algorithm
intervals
Results
348.0ms9130×body80valid
0.0ms1×body640valid

Profiling

Loading profile data...