Details

Time bar (total: 6.8s)

sample29.0ms

Algorithm
intervals
Results
17.0ms288×body80valid
0.0ms1×body1280valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite34.0ms

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:
28.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
5.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series104.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
53.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0188275
1585260
22356255
35002255

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite62.0ms

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:
43.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
5.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
5.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
5.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series968.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
233.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
229.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
235.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify137.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03301647
110671554
248591466
350011466

prune344.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
120×cbrt-div
34×associate-*l/
27×frac-times
25×flip3-- frac-sub flip--
9×associate-*r/
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 86
Calls
4 calls:
7.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
15.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
15.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
15.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
570.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
377.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
363.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))

simplify81.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
03282325
17992225
227542216
350022202

prune409.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
117×cbrt-div
33×associate-*l/
27×frac-times
24×flip3-- frac-sub flip--
9×associate-*r/
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 81
Calls
4 calls:
17.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
16.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
16.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
1.0ms
(cbrt (* 8.0 2.0))

series1.1s

Counts
4 → 10
Calls
4 calls:
382.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
378.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
367.0ms
(cbrt (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
0.0ms
(cbrt (* 8.0 2.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
02662167
16422075
221672067
350012052

prune495.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes203.0ms

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

sample795.0ms

Algorithm
intervals
Results
554.0ms9074×body80valid
0.0ms2×body1280valid