Details

Time bar (total: 3.8s)

sample42.0ms

Algorithm
intervals
Results
13.0ms30×body1280valid
10.0ms181×body80valid
5.0ms19×body640valid
3.0ms16×body320valid
1.0ms10×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×sum-log
3×associate-*r* associate-*l*
2×+-commutative flip3-+ flip-+
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
3.0ms
(+ x (sin y))
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series103.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ x (sin y))
38.0ms
(+ (+ x (sin y)) (* z (cos y)))
40.0ms
(* z (cos y))

simplify72.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune109.0ms

Filtered
52 candidates to 37 candidates (71.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New47552
Fresh000
Picked101
Done000
Total48553

Merged error: 0.0b

Counts
53 → 5

localize12.0ms

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))

series451.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms
(cbrt (cos y))
94.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))

simplify107.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune195.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh224
Picked101
Done000
Total86490

Merged error: 0.0b

Counts
90 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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:
8.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (pow (cos y) 2))

series365.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
118.0ms
(cbrt (cos y))
25.0ms
(pow (cos y) 2)
182.0ms
(cbrt (pow (cos y) 2))

simplify37.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0233421
11069364
25001345

prune172.0ms

Filtered
78 candidates to 51 candidates (65.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New77178
Fresh123
Picked011
Done000
Total78482

Merged error: 0.0b

Counts
82 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3
2×unpow2 sqr-pow
1×pow-to-exp pow-pow pow-exp
Counts
4 → 62
Calls
4 calls:
1.0ms
(cbrt (cos y))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cbrt (cos y)))
3.0ms
(cbrt (pow (cbrt (cos y)) 2))

series319.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (cos y))
21.0ms
(pow (cos y) 2)
94.0ms
(cbrt (cbrt (cos y)))
110.0ms
(cbrt (pow (cbrt (cos y)) 2))

simplify79.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0203372
1623340
22295323
35001322

prune238.0ms

Filtered
74 candidates to 52 candidates (70.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh022
Picked101
Done011
Total73578

Merged error: 0b

Counts
78 → 5

regimes86.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample1.3s

Algorithm
intervals
Results
428.0ms1022×body1280valid
313.0ms5535×body80valid
221.0ms811×body640valid
73.0ms408×body320valid
28.0ms224×body160valid

Profiling

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