Details

Time bar (total: 4.8s)

sample876.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 90.869141%

Results
21.0ms46×body1280valid
13.0ms143×body80valid
12.0ms41×body640valid
4.0ms18×body320valid
1.0ms8×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: 0.1b

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))

series29.0ms

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

simplify76.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune102.0ms

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:

0.3b
(* (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)))
2.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series79.0ms

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

simplify110.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune118.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh2810
Picked101
Done000
Total861096

Merged error: 0.0b

Counts
96 → 10

localize18.0ms

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 (cos y))
0.3b
(cbrt (pow (cos y) 2))

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:
8.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (pow (cos y) 2))

series52.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))
26.0ms
(cbrt (pow (cos y) 2))

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0236416
11087359
25001345

prune125.0ms

Filtered
51 candidates to 78 candidates (-52.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New77178
Fresh279
Picked011
Done000
Total79988

Merged error: 0.0b

Counts
88 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series72.0ms

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

simplify131.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
050228
1148208
2479200
32496200
45003200

prune57.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh077
Picked011
Done011
Total56965

Merged error: 0.0b

Counts
65 → 9

regimes219.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample2.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 90.869141%

Results
701.0ms1523×body1280valid
351.0ms1247×body640valid
296.0ms4235×body80valid
131.0ms671×body320valid
44.0ms324×body160valid

Profiling

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