Details

Time bar (total: 6.2s)

sample1.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 1.922607%

Guaranteed chance to sample good point: 71.877528%

Results
10.0ms256×body80valid
5.0ms33×body80invalid

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

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 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×*-un-lft-identity
5×add-sqr-sqrt add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv sub-neg associate-+l+ diff-log div-exp sum-log
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ associate-*l/ prod-exp clear-num frac-sub flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
3 → 50
Calls
3 calls:
8.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
4.0ms
(/ (* y z) 2.0)
5.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series23.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
3.0ms
(/ (* y z) 2.0)
9.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify31.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0282355
11056330
25001330

prune72.0ms

Filtered
43 candidates to 59 candidates (-37.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New57259
Fresh000
Picked011
Done000
Total57360

Merged error: 0.0b

Counts
60 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z))) t)
0.0b
(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
0.3b
(/ y (/ 2.0 z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
47×*-un-lft-identity
45×add-sqr-sqrt add-cube-cbrt
13×associate-/r*
10×add-log-exp
8×add-exp-log add-cbrt-cube
5×div-inv
3×pow1 cbrt-undiv div-exp associate-/l*
2×sub-neg associate-+l+ diff-log sum-log
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ associate-*l/ clear-num associate-/r/ frac-sub flip-- flip-+ distribute-lft-out
Counts
3 → 99
Calls
3 calls:
13.0ms
(+ (- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z))) t)
10.0ms
(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
5.0ms
(/ y (/ 2.0 z))

series25.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z))) t)
9.0ms
(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
6.0ms
(/ y (/ 2.0 z))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0497723
11847693
25001692

prune127.0ms

Filtered
86 candidates to 108 candidates (-25.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done011
Total1083111

Merged error: 0.0b

Counts
111 → 3

localize16.0ms

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))))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(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)))
5.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
6.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
43.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
46.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
43.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify134.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03301647
110671554
248591466
350011466

prune277.0ms

Filtered
82 candidates to 109 candidates (-32.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1081109
Fresh000
Picked011
Done022
Total1084112

Merged error: 0.0b

Counts
112 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.6b
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.6b
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.9b
(pow (cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) 4)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
18×cbrt-div
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-- associate-*l/ frac-sub flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 75
Calls
4 calls:
6.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
6.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
6.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
10.0ms
(pow (cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) 4)

series263.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
54.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
60.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
96.0ms
(pow (cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) 4)

simplify133.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
03981154
112031088
246921063
350011058

prune353.0ms

Filtered
70 candidates to 87 candidates (-24.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done033
Total87491

Merged error: 0.0b

Counts
91 → 4

regimes528.0ms

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

sample2.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 1.922607%

Guaranteed chance to sample good point: 71.877528%

Results
333.0ms8000×body80valid
38.0ms962×body80invalid

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