Details

Time bar (total: 4.6s)

sample78.0ms

Algorithm
intervals
Results
53.0ms285×body10240exit
6.0ms201×body80valid
2.0ms27×body320valid
2.0ms13×body640valid
1.0ms19×body160valid

simplify48.0ms

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: 13.5b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ x (+ wj 1)) (exp wj))
0.0b
(/ x (+ wj 1))
0.0b
(/ wj (+ wj 1))
5.0b
(- (+ (/ (/ 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:
9.0ms
(/ (/ x (+ wj 1)) (exp wj))
5.0ms
(/ x (+ wj 1))
9.0ms
(/ wj (+ wj 1))
29.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series144.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (/ x (+ wj 1)) (exp wj))
23.0ms
(/ x (+ wj 1))
25.0ms
(/ wj (+ wj 1))
56.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify80.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07211524
133031471
250011471

prune447.0ms

Filtered
188 candidates to 138 candidates (73.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1835188
Fresh011
Picked101
Done000
Total1846190

Merged error: 0.4b

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))

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 (4.0ms)

IterNodesCost
08666
131856
2123556
3344456
4500156

prune47.0ms

Filtered
21 candidates to 11 candidates (52.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New21021
Fresh055
Picked011
Done000
Total21627

Merged error: 0.4b

Counts
27 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt wj)
0.6b
(cbrt wj)
0.6b
(cbrt wj)
10.0b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (* (/ (* (cbrt wj) (cbrt wj)) (* (cbrt (+ wj 1)) (cbrt (+ wj 1)))) (/ (cbrt wj) (cbrt (+ wj 1)))))

rewrite32.0ms

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)
4.0ms
(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)))))

series607.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt wj)
178.0ms
(cbrt wj)
182.0ms
(cbrt wj)
70.0ms
(- (+ (/ (/ 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

prune238.0ms

Filtered
65 candidates to 54 candidates (83.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New64165
Fresh044
Picked011
Done011
Total64771

Merged error: 0.4b

Counts
71 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.8b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
5.0b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt times-frac
8×add-cbrt-cube add-log-exp
7×add-exp-log
6×pow1
5×distribute-rgt-out distribute-rgt1-in associate-/r*
3×associate-*r* associate-*l* associate-/l*
2×flip3-- flip3-+ div-sub associate-/r/ flip-- flip-+ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 87
Calls
4 calls:
5.0ms
(* wj (exp wj))
3.0ms
(+ (exp wj) (* wj (exp wj)))
9.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
12.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series171.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* wj (exp wj))
36.0ms
(+ (exp wj) (* wj (exp wj)))
45.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
56.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0394942
11478877
25001855

prune235.0ms

Filtered
99 candidates to 81 candidates (81.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New98199
Fresh134
Picked011
Done022
Total997106

Merged error: 0.4b

Counts
106 → 7

regimes111.0ms

Accuracy

64.4% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 2.0b

bsearch25.0ms

Steps
ItersRangePoint
5
1.8310444829011e-08
3.798938191215488e-08
1.855396681840028e-08

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03325
13325

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.4s7437×body10240exit
180.0ms6263×body80valid
72.0ms493×body640valid
72.0ms787×body320valid
33.0ms541×body160valid