Details

Time bar (total: 9.1s)

sample3.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 90.109253%

Results
13.0ms30×body1280valid
12.0ms188×body80valid
7.0ms23×body640valid
2.0ms11×body320valid
1.0ms4×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))

rewrite11.0ms

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

series20.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (+ x (sin y)) (* z (cos y)))
8.0ms
(* z (cos y))

simplify66.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0152192
1605176
22510176
35001176

prune49.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0.0b

Counts
38 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* z (cos y)))
0.5b
(cbrt (* z (cos y)))
0.5b
(cbrt (* z (cos y)))
0.6b
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))
5.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt (* z (cos y)))
22.0ms
(cbrt (* z (cos y)))
22.0ms
(cbrt (* z (cos y)))
32.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))

simplify87.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0183458
1605407
22886365
35001343

prune83.0ms

Filtered
53 candidates to 70 candidates (-32.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh022
Picked011
Done011
Total69574

Merged error: 0b

Counts
74 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b
(cbrt (cbrt (* z (cos y))))
0.6b
(cbrt (cbrt (* z (cos y))))
0.6b
(cbrt (cbrt (* z (cos y))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
13×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
9×pow1/3
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 67
Calls
4 calls:
5.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
2.0ms
(cbrt (cbrt (* z (cos y))))
2.0ms
(cbrt (cbrt (* z (cos y))))
2.0ms
(cbrt (cbrt (* z (cos y))))

series112.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
26.0ms
(cbrt (cbrt (* z (cos y))))
26.0ms
(cbrt (cbrt (* z (cos y))))
28.0ms
(cbrt (cbrt (* z (cos y))))

simplify97.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0202587
1641539
23059464
35002450

prune93.0ms

Filtered
62 candidates to 79 candidates (-27.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh022
Picked011
Done022
Total79584

Merged error: 0b

Counts
84 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (* z (cos y)))
0.1b
(* z (cos y))
0.1b
(* z (cos y))
0.2b
(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
60×pow1
30×sqrt-pow1
23×pow-prod-down
18×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×pow1/2
10×add-exp-log associate-*r* associate-*l* pow-prod-up add-cbrt-cube
6×pow-sqr
5×sqrt-prod
4×swap-sqr add-log-exp
3×prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 96
Calls
4 calls:
2.0ms
(sqrt (* z (cos y)))
4.0ms
(* z (cos y))
4.0ms
(* z (cos y))
11.0ms
(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

series36.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (* z (cos y)))
6.0ms
(* z (cos y))
6.0ms
(* z (cos y))
11.0ms
(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0237393
11334358
25002350

prune76.0ms

Filtered
60 candidates to 108 candidates (-80.0%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done033
Total1085113

Merged error: 0b

Counts
113 → 5

regimes232.0ms

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

sample4.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 90.109253%

Results
447.0ms994×body1280valid
345.0ms5548×body80valid
235.0ms834×body640valid
93.0ms401×body320valid
31.0ms223×body160valid

Profiling

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