Details

Time bar (total: 3.0s)

sample490.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 8.843994%

Guaranteed chance to sample good point: 90.672916%

Results
7.0ms245×body80valid
1.0ms42×body80invalid
1.0ms5×body1280valid
0.0ms3×body640valid
0.0ms2×body320valid
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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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))

simplify113.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune53.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New38442
Fresh000
Picked011
Done000
Total38543

Merged error: 0.0b

Counts
43 → 5

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:
5.0ms
(* z (+ x 5.0))
4.0ms
(+ (* x y) (* z (+ x 5.0)))

series12.0ms

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

simplify124.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0209182
1941168
24786168
35001168

prune53.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New40242
Fresh213
Picked011
Done011
Total42547

Merged error: 0.0b

Counts
47 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.8b
(* z (- (* x x) (* 5.0 5.0)))
7.3b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×associate-*r/ associate-*r*
3×flip3-- associate-*l* flip-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 65
Calls
3 calls:
7.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
6.0ms
(* z (- (* x x) (* 5.0 5.0)))
9.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series37.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
9.0ms
(* z (- (* x x) (* 5.0 5.0)))
14.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0397570
11864498
25001464

prune95.0ms

Filtered
53 candidates to 74 candidates (-39.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New72274
Fresh112
Picked011
Done022
Total73679

Merged error: 0b

Counts
79 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
0.3b
(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
8.3b
(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
123×add-sqr-sqrt *-un-lft-identity
81×add-cube-cbrt
47×difference-of-squares
30×associate-/r*
21×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+
Counts
3 → 179
Calls
3 calls:
19.0ms
(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
11.0ms
(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
8.0ms
(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
13.0ms
(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
4.0ms
(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

simplify118.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
07852139
141831991
250031936

prune275.0ms

Filtered
147 candidates to 188 candidates (-27.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1880188
Fresh022
Picked011
Done033
Total1886194

Merged error: 0b

Counts
194 → 6

regimes274.0ms

Accuracy

0% (0.1b 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: 8.843994%

Guaranteed chance to sample good point: 90.672916%

Results
225.0ms7676×body80valid
38.0ms1280×body80invalid
14.0ms110×body1280valid
11.0ms111×body640valid
5.0ms61×body320valid
2.0ms42×body160valid

Profiling

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