Details

Time bar (total: 4.4s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 14.084025%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
6.0ms256×body80valid
1.0ms41×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (* z t))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x y) (* z t))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(+ (* x y) (* z t))

simplify118.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune24.0ms

Filtered
12 candidates to 14 candidates (-16.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.3b
(cbrt (+ (* x y) (* z t)))
1.3b
(cbrt (+ (* x y) (* z t)))
1.3b
(cbrt (+ (* x y) (* z t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
34.0ms
(cbrt (+ (* x y) (* z t)))
38.0ms
(cbrt (+ (* x y) (* z t)))
36.0ms
(cbrt (+ (* x y) (* z t)))

simplify107.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
03151087
110671022
24322952
35001933

prune104.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0b

Counts
102 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.3b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.8b
(sqrt (+ (* x y) (* z t)))
0.8b
(sqrt (+ (* x y) (* z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
flip3-+ flip-+
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
3.0ms
(+ (* x y) (* z t))
12.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms
(sqrt (+ (* x y) (* z t)))
3.0ms
(sqrt (+ (* x y) (* z t)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* x y) (* z t))
9.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
19.0ms
(sqrt (+ (* x y) (* z t)))
19.0ms
(sqrt (+ (* x y) (* z t)))

simplify43.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0243764
11002706
25001686

prune84.0ms

Filtered
66 candidates to 110 candidates (-66.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh101
Picked011
Done022
Total1104114

Merged error: 0b

Counts
114 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (+ (* x y) (* z t))) (* (fabs (cbrt (+ (* x y) (* z t)))) (sqrt (cbrt (+ (* x y) (* z t))))))
0.8b
(sqrt (+ (* x y) (* z t)))
1.3b
(cbrt (+ (* x y) (* z t)))
1.3b
(cbrt (+ (* x y) (* z t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div
10×pow1 add-sqr-sqrt cbrt-div
add-exp-log add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-*r/
cbrt-prod associate-*l* sqrt-prod
frac-times add-log-exp
pow-prod-down prod-exp cbrt-unprod
pow1/3 associate-*l/
rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative
Counts
4 → 70
Calls
4 calls:
11.0ms
(* (sqrt (+ (* x y) (* z t))) (* (fabs (cbrt (+ (* x y) (* z t)))) (sqrt (cbrt (+ (* x y) (* z t))))))
3.0ms
(sqrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))

series152.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (sqrt (+ (* x y) (* z t))) (* (fabs (cbrt (+ (* x y) (* z t)))) (sqrt (cbrt (+ (* x y) (* z t))))))
19.0ms
(sqrt (+ (* x y) (* z t)))
34.0ms
(cbrt (+ (* x y) (* z t)))
36.0ms
(cbrt (+ (* x y) (* z t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04521130
114861042
250021026

prune103.0ms

Filtered
70 candidates to 82 candidates (-17.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done033
Total82486

Merged error: 0b

Counts
86 → 4

regimes386.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

sample1.6s

Algorithm
intervals
sampling

Space saved by range analysis: 14.084025%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
218.0ms8000×body80valid
25.0ms1030×body80invalid

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