Details

Time bar (total: 3.1s)

analyze359.0ms

Algorithm
search

sample49.0ms

Algorithm
intervals
Results
17.0ms36×body1280valid
10.0ms171×body80valid
8.0ms27×body640valid
3.0ms15×body320valid
1.0ms7×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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* sum-log
1×+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
5.0ms
(* z (cos y))

series24.0ms

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

simplify66.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0152192
1605176
22510176
35001176

prune55.0ms

Filtered
26 candidates to 37 candidates (-42.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New32537
Fresh000
Picked101
Done000
Total33538

Merged error: 0.0b

Counts
38 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
5.0ms
(+ x (+ (sin y) (* z (cos y))))
3.0ms
(+ (sin y) (* z (cos y)))
4.0ms
(* z (cos y))

series28.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (+ (sin y) (* z (cos y))))
10.0ms
(+ (sin y) (* z (cos y)))
7.0ms
(* z (cos y))

simplify67.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0215281
1788265
22606265
35001265

prune59.0ms

Filtered
37 candidates to 52 candidates (-40.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New52052
Fresh044
Picked011
Done000
Total52557

Merged error: 0.0b

Counts
57 → 5

localize13.0ms

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))
2.0ms
(cbrt (cos y))

series82.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))

simplify104.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune85.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh123
Picked011
Done011
Total85590

Merged error: 0.0b

Counts
90 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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:
4.0ms
(pow (pow (cos y) 2) 1/3)
9.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series55.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(pow (pow (cos y) 2) 1/3)
7.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
19.0ms
(cbrt (cos y))

simplify43.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0312474
11319403
25001386

prune96.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New90191
Fresh112
Picked011
Done022
Total91596

Merged error: 0.0b

Counts
96 → 5

regimes167.0ms

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
0115
1115

end0.0ms

analyze334.0ms

Algorithm
search

sample1.3s

Algorithm
intervals
Results
428.0ms944×body1280valid
338.0ms5605×body80valid
235.0ms815×body640valid
89.0ms420×body320valid
29.0ms216×body160valid

Profiling

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