Details

Time bar (total: 3.1s)

sample67.0ms

Algorithm
intervals
Results
27.0ms52×body1280valid
11.0ms37×body640valid
10.0ms140×body80valid
3.0ms18×body320valid
1.0msbody160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0199
1199

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))
0.1b
(* x (cos y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
3.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series28.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- (* x (cos y)) (* z (sin y)))
7.0ms
(* z (sin y))
7.0ms
(* x (cos y))

simplify50.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05212402

prune81.0ms

Filtered
39 candidates to 57 candidates (-46.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New51657
Fresh000
Picked101
Done000
Total52658

Merged error: 0.0b

Counts
58 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series77.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify58.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05512477

prune98.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh055
Picked011
Done000
Total84791

Merged error: 0.0b

Counts
91 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series68.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))

simplify24.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05432284

prune79.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh055
Picked011
Done011
Total56763

Merged error: 0.0b

Counts
63 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
7.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series91.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt z) (cbrt z))
22.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05837334

prune64.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0.0b

Counts
92 → 7

regimes264.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01418
11418

end0.0ms

sample1.9s

Algorithm
intervals
Results
703.0ms1523×body1280valid
355.0ms1231×body640valid
289.0ms4331×body80valid
118.0ms603×body320valid
43.0ms312×body160valid

Profiling

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