Details

Time bar (total: 4.9s)

sample73.0ms

Algorithm
intervals
Results
49.0ms260×body10240exit
6.0ms209×body80valid
2.0ms14×body640valid
2.0ms21×body320valid
1.0ms16×body160valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0209
1489
21079
32248
415148
550018

prune6.0ms

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: 12.0b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ wj (+ wj 1))
0.0b
(/ x (+ wj 1))
0.0b
(/ (/ x (+ wj 1)) (exp wj))
3.8b
(- (+ (/ (/ 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
(/ wj (+ wj 1))
5.0ms
(/ x (+ wj 1))
12.0ms
(/ (/ x (+ wj 1)) (exp wj))
30.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ wj (+ wj 1))
22.0ms
(/ x (+ wj 1))
43.0ms
(/ (/ x (+ wj 1)) (exp wj))
53.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify86.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07211524
133031471
250011469

prune365.0ms

Filtered
188 candidates to 138 candidates (73.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1835188
Fresh101
Picked101
Done000
Total1855190

Merged error: 0.3b

Counts
190 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ x (pow wj 2)) (* 2 (* wj x)))
0.0b
(* 2 (* wj x))
0.0b
(+ x (pow wj 2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ associate-*r* associate--l+ *-commutative flip-- flip-+ distribute-lft-out
Counts
3 → 44
Calls
3 calls:
7.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms
(* 2 (* wj x))
4.0ms
(+ x (pow wj 2))

series79.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))
21.0ms
(* 2 (* wj x))
29.0ms
(+ x (pow wj 2))

simplify122.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0202252
1790232
24172229
35001229

prune77.0ms

Filtered
53 candidates to 32 candidates (60.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New52153
Fresh044
Picked011
Done000
Total52658

Merged error: 0.3b

Counts
58 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ wj (+ wj 1))
0.0b
(/ x (- (* wj wj) 1))
0.0b
(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
3.8b
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
74×times-frac
71×*-un-lft-identity
45×add-cube-cbrt
25×associate-*r*
24×associate-*l*
22×difference-of-squares
20×add-cbrt-cube
18×add-exp-log
10×difference-of-sqr-1 associate-/r*
9×add-log-exp
6×pow1 cbrt-undiv div-exp associate-/r/ associate-/l*
4×prod-exp cbrt-unprod div-inv distribute-lft-out distribute-lft-out-- unswap-sqr
3×flip3-- flip--
2×frac-2neg flip3-+ diff-log clear-num frac-sub flip-+
1×frac-times sub-neg associate-*r/ pow-prod-down associate-*l/ associate--l+ sum-log *-commutative
Counts
4 → 166
Calls
4 calls:
5.0ms
(/ wj (+ wj 1))
6.0ms
(/ x (- (* wj wj) 1))
23.0ms
(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
24.0ms
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ wj (+ wj 1))
59.0ms
(/ x (- (* wj wj) 1))
68.0ms
(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
116.0ms
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

simplify96.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08461561
143591446
250021445

prune354.0ms

Filtered
178 candidates to 127 candidates (71.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1780178
Fresh044
Picked011
Done011
Total1786184

Merged error: 0.3b

Counts
184 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt wj)
0.6b
(cbrt wj)
0.6b
(cbrt wj)
8.8b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (* (/ (* (cbrt wj) (cbrt wj)) (* (cbrt (+ wj 1)) (cbrt (+ wj 1)))) (/ (cbrt wj) (cbrt (+ wj 1)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-log-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×frac-sub
4×pow1 add-exp-log add-cbrt-cube
3×flip3-+ pow1/3 flip-+
2×frac-times diff-log associate-*r/ associate-*l/
1×sub-neg flip3-- associate--l+ sum-log flip--
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt wj)
3.0ms
(cbrt wj)
1.0ms
(cbrt wj)
24.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (* (/ (* (cbrt wj) (cbrt wj)) (* (cbrt (+ wj 1)) (cbrt (+ wj 1)))) (/ (cbrt wj) (cbrt (+ wj 1)))))

series581.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt wj)
167.0ms
(cbrt wj)
174.0ms
(cbrt wj)
67.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (* (/ (* (cbrt wj) (cbrt wj)) (* (cbrt (+ wj 1)) (cbrt (+ wj 1)))) (/ (cbrt wj) (cbrt (+ wj 1)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0294874
11170759
25001667

prune188.0ms

Filtered
65 candidates to 54 candidates (83.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh033
Picked011
Done022
Total65671

Merged error: 0.3b

Counts
71 → 6

regimes56.0ms

Accuracy

0% (1.9b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.4s7502×body10240exit
199.0ms6321×body80valid
74.0ms759×body320valid
63.0ms441×body640valid
37.0ms557×body160valid