Details

Time bar (total: 3.7s)

analyze279.0ms

Algorithm
search

sample61.0ms

Algorithm
intervals
Results
23.0ms52×body1280valid
11.0ms41×body640valid
8.0ms134×body80valid
3.0ms16×body320valid
2.0ms13×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: 0.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.1b
(* z (cos y))
0.2b
(* x (sin 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 (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))
4.0ms
(* x (sin y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))
7.0ms
(* x (sin y))

simplify73.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune106.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New431356
Fresh000
Picked101
Done000
Total441357

Merged error: 0.0b

Counts
57 → 13

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))

series79.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
20.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify109.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune120.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh21012
Picked101
Done000
Total861298

Merged error: 0.0b

Counts
98 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
13×add-sqr-sqrt
12×prod-exp
11×add-cube-cbrt *-un-lft-identity
10×add-cbrt-cube
9×pow1 associate-*r*
6×cbrt-prod cbrt-unprod
5×pow-exp
4×associate-*l* add-log-exp
3×pow-to-exp unpow-prod-down pow-unpow
2×pow-prod-down *-commutative
1×pow-pow unpow1/3 pow1/3 unpow2 unswap-sqr sqr-pow
Counts
4 → 72
Calls
4 calls:
4.0ms
(* x (sin y))
12.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series34.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0297419
11306364
25002350

prune130.0ms

Filtered
52 candidates to 84 candidates (-61.5%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh01111
Picked011
Done000
Total841296

Merged error: 0.0b

Counts
96 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z (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))

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:
7.0ms
(* (* z (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))

series55.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
25.0ms
(cbrt (pow (cos y) 2))
19.0ms
(cbrt (cos y))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0236416
11087359
25001345

prune87.0ms

Filtered
50 candidates to 78 candidates (-56.0%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh01010
Picked011
Done011
Total781290

Merged error: 0.0b

Counts
90 → 12

regimes344.0ms

Accuracy

0% (0.2b 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
01810
11810

end0.0ms

analyze275.0ms

Algorithm
search

sample1.7s

Algorithm
intervals
Results
687.0ms1521×body1280valid
365.0ms1260×body640valid
295.0ms4312×body80valid
114.0ms600×body320valid
42.0ms307×body160valid

Profiling

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