Details

Time bar (total: 2.9s)

sample28.0ms

Algorithm
intervals
Results
11.0ms335×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1123
2123

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: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.2b
(* (* y z) z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* (* y z) z))
5.0ms
(* (* y z) z)

series19.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ x (* (* y z) z))
6.0ms
(* (* y z) z)

simplify100.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0159140
1724123
23491123
35001122

prune69.0ms

Filtered
35 candidates to 23 candidates (34.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New31435
Fresh000
Picked011
Done000
Total31536

Merged error: 0.0b

Counts
36 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z))))
0.5b
(cbrt (+ x (* (* y z) z)))
0.5b
(cbrt (+ x (* (* y z) z)))
0.5b
(cbrt (+ x (* (* y z) z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z))))
2.0ms
(cbrt (+ x (* (* y z) z)))
4.0ms
(cbrt (+ x (* (* y z) z)))
2.0ms
(cbrt (+ x (* (* y z) z)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z))))
38.0ms
(cbrt (+ x (* (* y z) z)))
36.0ms
(cbrt (+ x (* (* y z) z)))
38.0ms
(cbrt (+ x (* (* y z) z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03391122
110921057
25002979

prune373.0ms

Filtered
99 candidates to 75 candidates (24.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh033
Picked101
Done011
Total995104

Merged error: 0.0b

Counts
104 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z)))))
0.5b
(cbrt (* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z)))))
0.6b
(cbrt (cbrt (+ x (* (* y z) z))))
0.6b
(cbrt (cbrt (+ x (* (* y z) z))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
20×cbrt-prod
14×flip3-+ flip-+
add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 associate-*r/ associate-*l/ add-cbrt-cube add-log-exp
Counts
4 → 66
Calls
4 calls:
7.0ms
(cbrt (* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z)))))
7.0ms
(cbrt (* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z)))))
3.0ms
(cbrt (cbrt (+ x (* (* y z) z))))
3.0ms
(cbrt (cbrt (+ x (* (* y z) z))))

series199.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(cbrt (* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z)))))
56.0ms
(cbrt (* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z)))))
44.0ms
(cbrt (cbrt (+ x (* (* y z) z))))
45.0ms
(cbrt (cbrt (+ x (* (* y z) z))))

simplify86.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
03371220
18241156
229741132
350011116

prune593.0ms

Filtered
78 candidates to 70 candidates (10.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done011
Total78583

Merged error: 0.0b

Counts
83 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (pow z 2)))
9.2b
(* y (pow z 2))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
associate-*l* prod-exp
pow1 unpow2 sqr-pow
+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
2.0ms
(+ x (* y (pow z 2)))
5.0ms
(* y (pow z 2))

series19.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ x (* y (pow z 2)))
6.0ms
(* y (pow z 2))

simplify119.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
0171170
1624152
23136152
35001151

prune78.0ms

Filtered
44 candidates to 30 candidates (31.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New44044
Fresh022
Picked011
Done022
Total44549

Merged error: 0.0b

Counts
49 → 5

regimes285.0ms

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
093
193

end0.0ms

sample616.0ms

Algorithm
intervals
Results
243.0ms10758×body80valid

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