Details

Time bar (total: 3.2s)

sample53.0ms

Algorithm
intervals
Results
17.0ms40×body1280valid
9.0ms35×body640valid
8.0ms152×body80valid
3.0ms17×body320valid
2.0ms12×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

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))

rewrite17.0ms

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×sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
7.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- (* x (cos y)) (* z (sin y)))
8.0ms
(* z (sin y))
7.0ms
(* x (cos y))

simplify61.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0174254
1636233
22041233
35001233

prune85.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49857
Fresh000
Picked101
Done000
Total50858

Merged error: 0.0b

Counts
58 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (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))

series81.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))

simplify107.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune107.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh257
Picked101
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (pow (pow (cos y) 2) 1/3))
0.2b
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-sqr-sqrt
19×unpow-prod-down
18×associate-*r*
16×prod-exp
13×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×pow-exp
7×pow1 cbrt-unprod
6×cbrt-prod unswap-sqr
5×pow-to-exp sqr-pow
4×associate-*l* add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 90
Calls
4 calls:
8.0ms
(* x (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series47.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* x (pow (pow (cos y) 2) 1/3))
7.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))

simplify51.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0320572
11417499
25002468

prune153.0ms

Filtered
62 candidates to 102 candidates (-64.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1002102
Fresh257
Picked011
Done000
Total1028110

Merged error: 0.0b

Counts
110 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* x (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
0.2b
(* (* x (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
71×add-exp-log
55×prod-exp
27×add-cbrt-cube cbrt-unprod
21×associate-*r*
17×unpow-prod-down
15×pow-to-exp pow-exp
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×unpow1/3
8×sqrt-prod
7×pow1
6×cbrt-prod
4×add-log-exp
3×pow-unpow sqr-pow
2×associate-*l* *-commutative unpow2
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 107
Calls
4 calls:
12.0ms
(* (* (* x (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
11.0ms
(* (* x (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series70.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* (* x (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
22.0ms
(* (* x (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
3.0ms
(pow (cos y) 2)
18.0ms
(cbrt (cos y))

simplify68.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04631168
12259955
25001784

prune148.0ms

Filtered
61 candidates to 119 candidates (-95.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh066
Picked011
Done011
Total1198127

Merged error: 0.0b

Counts
127 → 8

regimes214.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample1.7s

Algorithm
intervals
Results
661.0ms1526×body1280valid
362.0ms1288×body640valid
248.0ms4278×body80valid
104.0ms571×body320valid
43.0ms337×body160valid

Profiling

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