Details

Time bar (total: 4.6s)

analyze645.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 92.382813%

sample64.0ms

Algorithm
intervals
Results
29.0ms53×body1280valid
10.0ms141×body80valid
9.0ms32×body640valid
3.0ms13×body320valid
2.0ms17×body160valid

simplify5.0ms

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: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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
(* x (sin y))
4.0ms
(* z (cos y))

series33.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (* x (sin y)) (* z (cos y)))
8.0ms
(* x (sin y))
7.0ms
(* z (cos y))

simplify79.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune104.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New451156
Fresh000
Picked101
Done000
Total461157

Merged error: 0.0b

Counts
57 → 11

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))

rewrite13.0ms

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))

series86.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms
(cbrt (cos y))
21.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))

simplify116.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune117.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh1910
Picked101
Done000
Total861096

Merged error: 0.0b

Counts
96 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (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))

rewrite27.0ms

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
(* z (pow (pow (cos y) 2) 1/3))
10.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series51.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* z (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))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0320572
11417499
25002468

prune168.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New993102
Fresh189
Picked011
Done000
Total10012112

Merged error: 0.0b

Counts
112 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×log-pow
12×exp-prod
11×prod-exp add-cbrt-cube
10×associate-*r*
9×pow1 cbrt-prod log-prod
5×pow-exp cbrt-unprod
4×add-log-exp
3×distribute-rgt-in pow-to-exp unpow-prod-down pow-unpow distribute-lft-in
1×pow-pow unpow1/3 pow1/3 rem-log-exp associate-*l* pow-prod-down *-commutative unpow2 sqr-pow
Counts
4 → 82
Calls
4 calls:
12.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
3.0ms
(log (exp (cbrt (cos y))))
3.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series51.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
21.0ms
(log (exp (cbrt (cos y))))
3.0ms
(pow (cos y) 2)
19.0ms
(cbrt (cos y))

simplify52.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0307643
11337529
25001506

prune119.0ms

Filtered
61 candidates to 94 candidates (-54.1%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh01010
Picked011
Done011
Total9412106

Merged error: 0.0b

Counts
106 → 12

regimes269.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

analyze638.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 92.382813%

sample1.8s

Algorithm
intervals
Results
705.0ms1500×body1280valid
367.0ms1279×body640valid
299.0ms4261×body80valid
125.0ms617×body320valid
47.0ms343×body160valid

Profiling

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