Details

Time bar (total: 3.6s)

sample154.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 50%

Results
24.0ms113×body5120exit
7.0ms197×body80valid
4.0ms116×body80overflowed
3.0ms27×body320valid
2.0ms25×body160valid
2.0ms11×body640valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0209
1489
21079
32248
415148
550028

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.1b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ wj 1))
0.0b
(/ wj (+ wj 1))
0.0b
(/ (/ x (+ wj 1)) (exp wj))
6.0b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
118×*-un-lft-identity
78×add-sqr-sqrt
73×add-cube-cbrt
24×associate-/l*
21×distribute-lft-out
13×add-cbrt-cube
12×associate-/r/
11×add-exp-log associate-/r*
9×add-log-exp
7×flip3-+ flip-+ div-inv
5×cbrt-undiv div-exp
4×pow1
3×frac-2neg clear-num
2×diff-log frac-sub distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- associate--l+ sum-log flip-- associate-/l/
Counts
4 → 176
Calls
4 calls:
5.0ms
(/ x (+ wj 1))
5.0ms
(/ wj (+ wj 1))
9.0ms
(/ (/ x (+ wj 1)) (exp wj))
30.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ wj 1))
2.0ms
(/ wj (+ wj 1))
11.0ms
(/ (/ x (+ wj 1)) (exp wj))
15.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify81.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07211524
133031471
250021469

prune255.0ms

Filtered
138 candidates to 188 candidates (-36.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1835188
Fresh011
Picked101
Done000
Total1846190

Merged error: 0.5b

Counts
190 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2 (* wj x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
5.0ms
(* 2 (* wj x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* 2 (* wj x))

simplify76.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08666
131856
2123556
3344456
4500156

prune35.0ms

Filtered
11 candidates to 21 candidates (-90.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New21021
Fresh055
Picked011
Done000
Total21627

Merged error: 0.5b

Counts
27 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ wj 1))
0.0b
(/ wj (+ wj 1))
0.0b
(/ (/ x (+ wj 1)) (exp wj))
6.0b
(- wj (/ wj (+ wj 1)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
115×*-un-lft-identity
78×add-sqr-sqrt
73×add-cube-cbrt
24×associate-/l*
20×distribute-lft-out
13×add-cbrt-cube
12×associate-/r/
11×add-exp-log associate-/r*
7×div-inv
6×flip3-+ flip-+ add-log-exp
5×cbrt-undiv div-exp
4×pow1
3×frac-2neg clear-num
2×difference-of-squares
1×sub-neg flip3-- diff-log flip-- associate-/l/ distribute-lft-out--
Counts
4 → 171
Calls
4 calls:
7.0ms
(/ x (+ wj 1))
5.0ms
(/ wj (+ wj 1))
9.0ms
(/ (/ x (+ wj 1)) (exp wj))
9.0ms
(- wj (/ wj (+ wj 1)))

series22.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ wj 1))
2.0ms
(/ wj (+ wj 1))
12.0ms
(/ (/ x (+ wj 1)) (exp wj))
3.0ms
(- wj (/ wj (+ wj 1)))

simplify71.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06341321
128441269
250011267

prune219.0ms

Filtered
135 candidates to 183 candidates (-35.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1821183
Fresh224
Picked101
Done101
Total1863189

Merged error: 0.1b

Counts
189 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ wj 1))
0.0b
(+ (pow wj 4) (pow wj 2))
0.0b
(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
0.0b
(/ (/ x (+ wj 1)) (exp wj))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
103×*-un-lft-identity
71×add-sqr-sqrt
64×add-cube-cbrt
21×associate-/l*
18×distribute-lft-out
11×add-cbrt-cube add-log-exp
10×associate-/r/
9×add-exp-log
7×associate-/r*
6×flip3-+ flip-+ div-inv
4×pow1 cbrt-undiv div-exp difference-of-squares
2×frac-2neg diff-log clear-num sum-log distribute-lft-out--
1×+-commutative sub-neg unpow-prod-down flip3-- cube-prod associate--l+ flip-- associate-/l/ sqr-pow
Counts
4 → 155
Calls
4 calls:
5.0ms
(/ x (+ wj 1))
7.0ms
(+ (pow wj 4) (pow wj 2))
12.0ms
(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
11.0ms
(/ (/ x (+ wj 1)) (exp wj))

series27.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ wj 1))
7.0ms
(+ (pow wj 4) (pow wj 2))
4.0ms
(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
11.0ms
(/ (/ x (+ wj 1)) (exp wj))

simplify73.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06341329
128711269
250011263

prune284.0ms

Filtered
119 candidates to 167 candidates (-40.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1652167
Fresh022
Picked011
Done000
Total1655170

Merged error: 0.1b

Counts
170 → 5

regimes144.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02110
12110

end0.0ms

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 50%

Results
809.0ms3741×body5120exit
227.0ms6278×body80valid
137.0ms3918×body80overflowed
89.0ms783×body320valid
78.0ms451×body640valid
43.0ms570×body160valid

Profiling

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