Details

Time bar (total: 4.7s)

analyze1.4s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 11.793582%

Guaranteed chance to sample good point: 58.121547%

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms42×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.8b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.6b
(* t (* y (- x z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
6.0ms
(* y (- x z))
7.0ms
(* t (* y (- x z)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- x z))
15.0ms
(* t (* y (- x z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201242
1924211
25001211

prune91.0ms

Filtered
32 candidates to 60 candidates (-87.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New491160
Fresh011
Picked101
Done000
Total501262

Merged error: 0.0b

Counts
62 → 12

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z y))
5.6b
(* (- (* x y) (* z y)) t)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
3.0ms
(- (* x y) (* z y))
6.0ms
(* (- (* x y) (* z y)) t)

series23.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- (* x y) (* z y))
16.0ms
(* (- (* x y) (* z y)) t)

simplify100.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0157205
1644173
23801169
35001169

prune66.0ms

Filtered
30 candidates to 40 candidates (-33.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New37340
Fresh6511
Picked011
Done000
Total43952

Merged error: 0.0b

Counts
52 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.1b
(* y (* (- x z) t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
6.0ms
(* (- x z) t)
7.0ms
(* y (* (- x z) t))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- x z) t)
11.0ms
(* y (* (- x z) t))

simplify103.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183193
1784160
24688160
35001160

prune70.0ms

Filtered
33 candidates to 48 candidates (-45.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New47148
Fresh077
Picked011
Done101
Total48957

Merged error: 0.0b

Counts
57 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

5.6b
(* t (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))))
7.2b
(cbrt (* y (- x z)))
7.2b
(cbrt (* y (- x z)))
7.2b
(cbrt (* y (- x z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
94×associate-*r/
60×cbrt-div
30×flip3-- flip--
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 80
Calls
4 calls:
16.0ms
(* t (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))))
4.0ms
(cbrt (* y (- x z)))
4.0ms
(cbrt (* y (- x z)))
6.0ms
(cbrt (* y (- x z)))

series122.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* t (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))))
34.0ms
(cbrt (* y (- x z)))
37.0ms
(cbrt (* y (- x z)))
35.0ms
(cbrt (* y (- x z)))

simplify86.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
03981023
11028919
23800823
35003778

prune98.0ms

Filtered
68 candidates to 92 candidates (-35.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh077
Picked011
Done011
Total929101

Merged error: 0.0b

Counts
101 → 9

regimes465.0ms

Accuracy

82.5% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 7.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04643
14643

end0.0ms

analyze1.4s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 11.793582%

Guaranteed chance to sample good point: 58.121547%

sample544.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid
49.0ms1453×body80invalid

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