Details

Time bar (total: 1.9s)

sample21.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
8.0ms299×body80valid
1.0ms6×body1280valid
0.0ms4×body320valid
0.0ms2×body640valid
0.0ms1×body160valid

simplify8.0ms

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))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
7.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune57.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New36642
Fresh000
Picked011
Done000
Total36743

Merged error: 0.0b

Counts
43 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (+ x 5.0))
0.0b
(+ (* x y) (* 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:
6.0ms
(* z (+ x 5.0))
4.0ms
(+ (* x y) (* z (+ x 5.0)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* z (+ x 5.0))
9.0ms
(+ (* x y) (* z (+ x 5.0)))

simplify127.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0209182
1941168
24786168
35001168

prune59.0ms

Filtered
27 candidates to 42 candidates (-55.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New38442
Fresh505
Picked011
Done011
Total43649

Merged error: 0.0b

Counts
49 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
4.0ms
(cbrt (* z (+ x 5.0)))
4.0ms
(cbrt (* z (+ x 5.0)))
4.0ms
(cbrt (* z (+ x 5.0)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
20.0ms
(cbrt (* z (+ x 5.0)))
17.0ms
(cbrt (* z (+ x 5.0)))
17.0ms
(cbrt (* z (+ x 5.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0414950
11433874
25001812

prune210.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh123
Picked101
Done022
Total85590

Merged error: 0b

Counts
90 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 5.0))
0.0b
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.2b
(* z (sqrt (+ x 5.0)))
0.3b
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*r*
13×sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 82
Calls
4 calls:
3.0ms
(sqrt (+ x 5.0))
4.0ms
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
7.0ms
(* z (sqrt (+ x 5.0)))
12.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ x 5.0))
8.0ms
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
12.0ms
(* z (sqrt (+ x 5.0)))
5.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0467671
12137585
25001572

prune126.0ms

Filtered
62 candidates to 94 candidates (-51.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New93194
Fresh112
Picked011
Done022
Total94599

Merged error: 0b

Counts
99 → 5

regimes217.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

sample572.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
266.0ms9787×body80valid
16.0ms119×body1280valid
11.0ms112×body640valid
5.0ms67×body320valid
2.0ms35×body160valid

Profiling

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