Details

Time bar (total: 3.2s)

analyze282.0ms

Algorithm
search

sample46.0ms

Algorithm
intervals
Results
14.0ms31×body1280valid
11.0ms180×body80valid
7.0ms25×body640valid
3.0ms17×body320valid
0.0ms3×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1285
2375
3435
4525
5665
61015
71665
82125
92365
102505
112705
122705

prune7.0ms

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 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×diff-log
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
6.0ms
(- (+ x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))

series20.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (+ x (cos y)) (* z (sin y)))
8.0ms
(* z (sin y))

simplify70.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0156201
1579185
22660185
35001185

prune51.0ms

Filtered
26 candidates to 38 candidates (-46.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New35338
Fresh000
Picked011
Done000
Total35439

Merged error: 0.0b

Counts
39 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series81.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
18.0ms
(cbrt (sin y))
21.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify117.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune100.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh022
Picked101
Done011
Total85489

Merged error: 0.0b

Counts
89 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin y) 2)
0.3b
(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
17.0b
(pow (pow (sin y) 2) 1/3)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×prod-exp
9×pow-exp
8×add-cbrt-cube
7×pow1
6×cbrt-prod pow-unpow associate-*r*
5×pow-to-exp cbrt-unprod
4×add-log-exp
3×sqr-pow
2×pow-pow unpow1/3 unpow2
1×pow1/3 associate-*l* pow-prod-down *-commutative
Counts
4 → 79
Calls
4 calls:
2.0ms
(pow (sin y) 2)
9.0ms
(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
4.0ms
(pow (pow (sin y) 2) 1/3)

series55.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(pow (sin y) 2)
7.0ms
(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
20.0ms
(cbrt (sin y))
23.0ms
(pow (pow (sin y) 2) 1/3)

simplify48.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0361514
11427443
25001406

prune117.0ms

Filtered
54 candidates to 91 candidates (-68.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New90191
Fresh022
Picked101
Done011
Total91495

Merged error: 0.0b

Counts
95 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin y) 2)
0.3b
(* (pow (pow (sin y) 2) 1/3) (cbrt (sin y)))
0.6b
(cbrt (sin y))
17.0b
(pow (pow (sin y) 2) 1/3)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
35×unpow-prod-down
33×add-sqr-sqrt
15×add-exp-log add-cube-cbrt *-un-lft-identity
12×cbrt-prod associate-*l* unswap-sqr
9×pow-exp sqr-pow
6×pow-unpow associate-*r*
5×pow1 pow-to-exp prod-exp add-cbrt-cube unpow2
4×add-log-exp
2×pow-pow unpow1/3 pow1/3 cbrt-unprod
1×pow-prod-down *-commutative
Counts
4 → 100
Calls
4 calls:
2.0ms
(pow (sin y) 2)
9.0ms
(* (pow (pow (sin y) 2) 1/3) (cbrt (sin y)))
2.0ms
(cbrt (sin y))
4.0ms
(pow (pow (sin y) 2) 1/3)

series49.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(pow (sin y) 2)
2.0ms
(* (pow (pow (sin y) 2) 1/3) (cbrt (sin y)))
21.0ms
(cbrt (sin y))
23.0ms
(pow (pow (sin y) 2) 1/3)

simplify50.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0362697
11323625
25002557

prune145.0ms

Filtered
72 candidates to 112 candidates (-55.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh022
Picked011
Done011
Total1124116

Merged error: 0.0b

Counts
116 → 4

regimes208.0ms

Accuracy

0% (0.0b 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
0105
1105

end0.0ms

analyze281.0ms

Algorithm
search

sample1.3s

Algorithm
intervals
Results
428.0ms953×body1280valid
356.0ms5638×body80valid
232.0ms843×body640valid
78.0ms388×body320valid
23.0ms178×body160valid

Profiling

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