Details

Time bar (total: 3.7s)

analyze256.0ms

Algorithm
search

sample61.0ms

Algorithm
intervals
Results
22.0ms46×body1280valid
13.0ms146×body80valid
11.0ms39×body640valid
3.0ms16×body320valid
1.0ms9×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

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))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* 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))

simplify68.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune89.0ms

Filtered
39 candidates to 56 candidates (-43.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New47956
Fresh000
Picked101
Done000
Total48957

Merged error: 0.0b

Counts
57 → 9

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))

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 (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))

simplify104.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune115.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh178
Picked101
Done000
Total841094

Merged error: 0.0b

Counts
94 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (cos y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 66
Calls
4 calls:
7.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (pow (cos y) 2))
1.0ms
(cbrt (cos y))

series53.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
25.0ms
(cbrt (pow (cos y) 2))
17.0ms
(cbrt (cos y))

simplify37.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0236416
11087359
25001345

prune144.0ms

Filtered
51 candidates to 78 candidates (-52.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New76278
Fresh279
Picked011
Done000
Total781088

Merged error: 0.0b

Counts
88 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (exp (cbrt (pow (cos y) 2))))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (cos y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×log-pow
11×exp-prod
9×unpow-prod-down
6×pow1
5×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow log-prod unpow2 sqr-pow
2×pow1/3
1×pow-to-exp pow-pow rem-log-exp pow-exp
Counts
4 → 68
Calls
4 calls:
4.0ms
(log (exp (cbrt (pow (cos y) 2))))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (pow (cos y) 2))
1.0ms
(cbrt (cos y))

series70.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(log (exp (cbrt (pow (cos y) 2))))
3.0ms
(pow (cos y) 2)
25.0ms
(cbrt (pow (cos y) 2))
17.0ms
(cbrt (cos y))

simplify81.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0189357
1578312
22100303
35001302

prune120.0ms

Filtered
55 candidates to 80 candidates (-45.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh088
Picked011
Done011
Total801090

Merged error: 0.0b

Counts
90 → 10

regimes234.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

analyze250.0ms

Algorithm
search

sample1.8s

Algorithm
intervals
Results
697.0ms1501×body1280valid
385.0ms1309×body640valid
302.0ms4252×body80valid
125.0ms607×body320valid
46.0ms331×body160valid

Profiling

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