Details

Time bar (total: 4.5s)

sample69.0ms

Algorithm
intervals
Results
43.0ms249×body10240exit
6.0ms195×body80valid
3.0ms19×body640valid
2.0ms26×body320valid
1.0ms19×body160valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0209
1489
21079
32248
415148
550018

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.3b

Counts
2 → 2

localize13.0ms

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))
5.9b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite58.0ms

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))
10.0ms
(/ (/ x (+ wj 1)) (exp wj))
30.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series147.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ x (+ wj 1))
24.0ms
(/ wj (+ wj 1))
40.0ms
(/ (/ x (+ wj 1)) (exp wj))
61.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify81.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07211524
133031471
250011469

prune409.0ms

Filtered
188 candidates to 138 candidates (73.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1853188
Fresh101
Picked101
Done000
Total1873190

Merged error: 0.2b

Counts
190 → 3

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))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* 2 (* wj x))

simplify83.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08671
131856
2123556
3344456
4500156

prune28.0ms

Filtered
21 candidates to 11 candidates (52.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New21021
Fresh022
Picked011
Done000
Total21324

Merged error: 0.2b

Counts
24 → 3

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))
4.8b
(- wj (/ wj (+ wj 1)))

rewrite36.0ms

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:
5.0ms
(/ x (+ wj 1))
5.0ms
(/ wj (+ wj 1))
9.0ms
(/ (/ x (+ wj 1)) (exp wj))
9.0ms
(- wj (/ wj (+ wj 1)))

series119.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ x (+ wj 1))
26.0ms
(/ wj (+ wj 1))
40.0ms
(/ (/ x (+ wj 1)) (exp wj))
30.0ms
(- wj (/ wj (+ wj 1)))

simplify70.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06341321
128441269
250011267

prune372.0ms

Filtered
183 candidates to 135 candidates (73.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1821183
Fresh101
Picked011
Done011
Total1833186

Merged error: 0.0b

Counts
186 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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:
7.0ms
(+ (pow wj 4) (pow wj 2))
5.0ms
(/ x (+ wj 1))
16.0ms
(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
9.0ms
(/ (/ x (+ wj 1)) (exp wj))

series172.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(+ (pow wj 4) (pow wj 2))
23.0ms
(/ x (+ wj 1))
32.0ms
(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
40.0ms
(/ (/ x (+ wj 1)) (exp wj))

simplify72.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06371315
128741259
250011257

prune486.0ms

Filtered
167 candidates to 119 candidates (71.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1661167
Fresh000
Picked101
Done022
Total1673170

Merged error: 0b

Counts
170 → 3

regimes42.0ms

Accuracy

62.6% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.1b

bsearch37.0ms

Steps
ItersRangePoint
9
6.477031086687721e-14
5.08584384811324e-07
7.776393461838007e-09

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.4s7767×body10240exit
193.0ms6332×body80valid
73.0ms474×body640valid
69.0ms756×body320valid
30.0ms507×body160valid

Profiling

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