Details

Time bar (total: 2.1s)

analyze249.0ms

Algorithm
search

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms22×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1123
2123

prune3.0ms

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)

series22.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ x (* (* y z) z))
9.0ms
(* (* y z) z)

simplify103.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0159140
1724123
23491123
35001122

prune38.0ms

Filtered
23 candidates to 35 candidates (-52.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New32335
Fresh000
Picked011
Done000
Total32436

Merged error: 0.0b

Counts
36 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
17.2b
(cbrt (* (* y z) z))
17.2b
(cbrt (* (* y z) z))
17.2b
(cbrt (* (* y z) z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
4.0ms
(cbrt (* (* y z) z))
3.0ms
(cbrt (* (* y z) z))
3.0ms
(cbrt (* (* y z) z))

series90.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
20.0ms
(cbrt (* (* y z) z))
20.0ms
(cbrt (* (* y z) z))
23.0ms
(cbrt (* (* y z) z))

simplify96.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0203457
1665406
23334357
35002319

prune65.0ms

Filtered
49 candidates to 70 candidates (-42.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh022
Picked011
Done011
Total70474

Merged error: 0.0b

Counts
74 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (pow z 2)))
9.5b
(* 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))

simplify120.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
0171170
1624152
23136152
35001151

prune55.0ms

Filtered
29 candidates to 44 candidates (-51.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New42244
Fresh011
Picked011
Done022
Total42648

Merged error: 0.0b

Counts
48 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
4.5b
(* (cbrt y) (pow z 2))
5.1b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (pow z 2)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
22×add-sqr-sqrt
21×prod-exp
13×cbrt-prod
11×add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
pow1 associate-*r* cbrt-unprod
unswap-sqr
associate-*l*
unpow-prod-down
add-log-exp
pow-to-exp pow-prod-down pow-exp unpow2 sqr-pow
pow1/3 *-commutative
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(* (cbrt y) (pow z 2))
11.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (pow z 2)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
21.0ms
(cbrt y)
23.0ms
(* (cbrt y) (pow z 2))
10.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (pow z 2)))

simplify36.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0258528
1947428
25002372

prune80.0ms

Filtered
54 candidates to 92 candidates (-70.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New90292
Fresh022
Picked011
Done033
Total90898

Merged error: 0.0b

Counts
98 → 8

regimes299.0ms

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

analyze246.0ms

Algorithm
search

sample359.0ms

Algorithm
intervals
Results
184.0ms8000×body80valid
15.0ms670×body80invalid

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