Details

Time bar (total: 3.4s)

analyze246.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14

sample58.0ms

Algorithm
intervals
Results
21.0ms47×body1280valid
9.0ms147×body80valid
9.0ms32×body640valid
4.0ms22×body320valid
1.0ms8×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01589
11589

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))

rewrite12.0ms

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 → 47
Calls
3 calls:
4.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series27.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- (* x (cos y)) (* z (sin y)))
7.0ms
(* z (sin y))
6.0ms
(* x (cos y))

simplify38.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04868397
14868397

prune87.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New48856
Fresh000
Picked101
Done000
Total49857

Merged error: 0.0b

Counts
57 → 8

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))

rewrite11.0ms

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)))
19.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify47.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05025459

prune105.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh077
Picked011
Done000
Total821193

Merged error: 0.0b

Counts
93 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

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

series49.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))

simplify63.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04852621
14852621

prune144.0ms

Filtered
63 candidates to 102 candidates (-61.9%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1002102
Fresh099
Picked011
Done011
Total10013113

Merged error: 0.0b

Counts
113 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (pow (cos y) 6))
0.6b
(pow (cos y) 6)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
13×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
7×pow1 prod-exp
6×unpow-prod-down associate-*r*
5×cbrt-unprod
4×add-log-exp
3×pow-unpow
2×pow-to-exp pow1/3 pow-exp sqr-pow
1×pow-pow unpow1/3 associate-*l* pow-prod-down *-commutative
Counts
4 → 66
Calls
4 calls:
11.0ms
(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (pow (cos y) 6))
2.0ms
(pow (cos y) 6)

series33.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
3.0ms
(cbrt (pow (cos y) 6))
7.0ms
(pow (cos y) 6)

simplify67.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04876431
14876431

prune87.0ms

Filtered
49 candidates to 78 candidates (-59.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New76278
Fresh2810
Picked101
Done022
Total791291

Merged error: 0.0b

Counts
91 → 12

regimes419.0ms

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 (1.0ms)

IterNodesCost
04317
14317

end0.0ms

sample1.7s

Algorithm
intervals
Results
694.0ms1522×body1280valid
352.0ms1238×body640valid
272.0ms4233×body80valid
127.0ms660×body320valid
50.0ms347×body160valid

Profiling

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