Details

Time bar (total: 7.9s)

sample74.0ms

Algorithm
intervals
Results
49.0ms243×body10240exit
7.0ms214×body80valid
2.0ms22×body320valid
2.0ms15×body640valid
1.0ms9×body160valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

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)

Merged error: 11.0b

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))
3.2b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite60.0ms

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))
13.0ms
(/ (/ x (+ wj 1)) (exp wj))
30.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series144.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ wj (+ wj 1))
22.0ms
(/ x (+ wj 1))
45.0ms
(/ (/ x (+ wj 1)) (exp wj))
55.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify92.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07211524
133031471
250011469

prune471.0ms

Filtered
188 candidates to 138 candidates (73.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×diff-log
1×sub-neg flip3-- associate-*r* associate--l+ sum-log *-commutative flip--
Counts
2 → 32
Calls
2 calls:
7.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms
(* 2 (* wj x))

series62.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))
27.0ms
(* 2 (* wj x))

simplify123.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0162196
1645179
23564177
35001177

prune73.0ms

Filtered
38 candidates to 22 candidates (57.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* wj wj) (- 1 (* wj 1)))
0.0b
(/ (exp wj) (+ (* wj wj) (- 1 (* wj 1))))
0.0b
(/ (/ x (+ (pow wj 3) (pow 1 3))) (/ (exp wj) (+ (* wj wj) (- 1 (* wj 1)))))
3.2b
(- (+ (/ (/ x (+ (pow wj 3) (pow 1 3))) (/ (exp wj) (+ (* wj wj) (- 1 (* wj 1))))) wj) (/ wj (+ wj 1)))

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
1363×times-frac
1028×*-un-lft-identity
500×add-sqr-sqrt
495×add-cube-cbrt
289×distribute-lft-out
192×unpow-prod-down cube-prod
109×associate-/r/
56×flip3-+ flip-+
55×div-inv
48×cube-mult sum-cubes
39×associate-/l*
18×associate-/r* add-cbrt-cube
15×add-exp-log
14×add-log-exp
9×cbrt-undiv div-exp
4×pow1
3×diff-log sum-log
2×sub-neg associate-+r+ frac-2neg clear-num frac-sub distribute-lft-out-- difference-of-squares
1×+-commutative associate-+r- flip3-- associate--l+ flip-- associate-/l/
Counts
4 → 675
Calls
4 calls:
6.0ms
(+ (* wj wj) (- 1 (* wj 1)))
11.0ms
(/ (exp wj) (+ (* wj wj) (- 1 (* wj 1))))
35.0ms
(/ (/ x (+ (pow wj 3) (pow 1 3))) (/ (exp wj) (+ (* wj wj) (- 1 (* wj 1)))))
160.0ms
(- (+ (/ (/ x (+ (pow wj 3) (pow 1 3))) (/ (exp wj) (+ (* wj wj) (- 1 (* wj 1))))) wj) (/ wj (+ wj 1)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (* wj wj) (- 1 (* wj 1)))
33.0ms
(/ (exp wj) (+ (* wj wj) (- 1 (* wj 1))))
96.0ms
(/ (/ x (+ (pow wj 3) (pow 1 3))) (/ (exp wj) (+ (* wj wj) (- 1 (* wj 1)))))
181.0ms
(- (+ (/ (/ x (+ (pow wj 3) (pow 1 3))) (/ (exp wj) (+ (* wj wj) (- 1 (* wj 1))))) wj) (/ wj (+ wj 1)))

simplify203.0ms

Algorithm
egg-herbie
Counts
687 → 687
Iterations

Useful iterations: 1 (55.0ms)

IterNodesCost
0263914379
1500114139

prune1.7s

Filtered
687 candidates to 342 candidates (49.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (+ (/ (/ x (+ wj 1)) (exp wj)) wj))
0.0b
(* (/ wj (+ wj 1)) (/ wj (+ wj 1)))
2.1b
(- (* (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (+ (/ (/ x (+ wj 1)) (exp wj)) wj)) (* (/ wj (+ wj 1)) (/ wj (+ wj 1))))
20.6b
(/ (- (* (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (+ (/ (/ x (+ wj 1)) (exp wj)) wj)) (* (/ wj (+ wj 1)) (/ wj (+ wj 1)))) (+ (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1))))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
84×times-frac
69×add-sqr-sqrt
55×add-cube-cbrt
48×flip3-+ frac-sub flip-+
45×frac-times
39×distribute-lft-out
31×associate-*r/ associate-*l/
30×swap-sqr
26×associate-/l/
22×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
18×pow1
12×associate-/r/
7×difference-of-squares
6×add-log-exp
5×cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod div-inv unswap-sqr
4×associate-/l*
2×pow2 distribute-rgt-in flip3-- distribute-lft-in pow-plus pow-prod-down frac-add associate--l+ pow-sqr *-commutative pow-prod-up flip--
1×sub-neg frac-2neg diff-log div-sub clear-num
Counts
4 → 239
Calls
4 calls:
47.0ms
(* (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (+ (/ (/ x (+ wj 1)) (exp wj)) wj))
20.0ms
(* (/ wj (+ wj 1)) (/ wj (+ wj 1)))
46.0ms
(- (* (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (+ (/ (/ x (+ wj 1)) (exp wj)) wj)) (* (/ wj (+ wj 1)) (/ wj (+ wj 1))))
89.0ms
(/ (- (* (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (+ (/ (/ x (+ wj 1)) (exp wj)) wj)) (* (/ wj (+ wj 1)) (/ wj (+ wj 1)))) (+ (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1))))

series761.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (+ (/ (/ x (+ wj 1)) (exp wj)) wj))
30.0ms
(* (/ wj (+ wj 1)) (/ wj (+ wj 1)))
191.0ms
(- (* (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (+ (/ (/ x (+ wj 1)) (exp wj)) wj)) (* (/ wj (+ wj 1)) (/ wj (+ wj 1))))
457.0ms
(/ (- (* (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (+ (/ (/ x (+ wj 1)) (exp wj)) wj)) (* (/ wj (+ wj 1)) (/ wj (+ wj 1)))) (+ (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1))))

simplify82.0ms

Algorithm
egg-herbie
Counts
251 → 251
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
012955602
150025344

prune637.0ms

Filtered
251 candidates to 156 candidates (62.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes75.0ms

Accuracy

63.4% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.2b

bsearch48.0ms

Steps
ItersRangePoint
9
1.5500162589940585e-23
2.1397042541860684e-14
2.0976066456756874e-14

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03819
14919
24919

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s7935×body10240exit
212.0ms6287×body80valid
84.0ms778×body320valid
80.0ms491×body640valid
37.0ms525×body160valid