Details

Time bar (total: 3.3s)

sample653.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.890625%

Guaranteed chance to sample good point: 88.169142%

Results
7.0ms248×body80valid
3.0ms2×body1280valid
1.0ms46×body80invalid
0.0ms4×body640valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
0.0b
(+ (* x (+ y z)) (* z 5.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(* x (+ y z))
6.0ms
(+ (* x (+ y z)) (* z 5.0))

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
8.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune53.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New39342
Fresh000
Picked101
Done000
Total40343

Merged error: 0.0b

Counts
43 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* z (+ x 5.0)))
0.0b
(* z (+ x 5.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(+ (* x y) (* z (+ x 5.0)))
6.0ms
(* z (+ x 5.0))

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x y) (* z (+ x 5.0)))
5.0ms
(* z (+ x 5.0))

simplify125.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0209182
1941168
24791168
35002168

prune63.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh022
Picked011
Done000
Total39645

Merged error: 0.0b

Counts
45 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.5b
(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b
(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b
(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
15.0ms
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
5.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
5.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
5.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
43.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
44.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
41.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03171289
111341193
250021072

prune206.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh044
Picked011
Done011
Total996105

Merged error: 0.0b

Counts
105 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.3b
(* z (sqrt (+ x 5.0)))
0.3b
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*r*
12×add-sqr-sqrt *-un-lft-identity
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
9×sqrt-prod
8×add-cube-cbrt flip3-+ flip-+
5×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative distribute-lft-out unswap-sqr
1×+-commutative sum-log
Counts
3 → 66
Calls
3 calls:
3.0ms
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
7.0ms
(* z (sqrt (+ x 5.0)))
11.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
8.0ms
(* z (sqrt (+ x 5.0)))
5.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0403568
11889483
25001472

prune100.0ms

Filtered
47 candidates to 75 candidates (-59.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New74175
Fresh123
Picked011
Done022
Total75681

Merged error: 0b

Counts
81 → 6

regimes300.0ms

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
0124
1124

end0.0ms

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.890625%

Guaranteed chance to sample good point: 88.169142%

Results
238.0ms7687×body80valid
39.0ms1347×body80invalid
14.0ms104×body1280valid
12.0ms110×body640valid
5.0ms65×body320valid
2.0ms34×body160valid

Profiling

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