Details

Time bar (total: 4.8s)

sample77.0ms

Algorithm
intervals
Results
38.0ms140×body10240exit
12.0ms210×body80valid
7.0ms132×body80overflowed
3.0ms21×body320valid
2.0ms10×body640valid
2.0ms17×body160valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0219
1529
21139
32408
416258
550018

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.3b

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))
5.0b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
231×*-un-lft-identity
175×times-frac
129×add-sqr-sqrt
124×add-cube-cbrt
72×prod-diff
52×distribute-lft-out
24×associate-/l*
20×associate-/r/
13×add-cbrt-cube
11×add-exp-log flip3-+ associate-/r* flip-+ div-inv
9×add-log-exp
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u fma-neg log1p-expm1-u
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 → 260
Calls
4 calls:
5.0ms
(/ x (+ wj 1))
5.0ms
(/ wj (+ wj 1))
13.0ms
(/ (/ x (+ wj 1)) (exp wj))
432.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series141.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ x (+ wj 1))
23.0ms
(/ wj (+ wj 1))
39.0ms
(/ (/ x (+ wj 1)) (exp wj))
58.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify125.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
010154090
145553249
250013243

prune539.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×fma-def associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 37
Calls
2 calls:
5.0ms
(+ x (pow wj 2))
6.0ms
(* 2 (* wj x))

series51.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ x (pow wj 2))
23.0ms
(* 2 (* wj x))

simplify68.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0156140
1573114
22424114
35002113

prune105.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2 (* wj x))

rewrite7.0ms

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×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
6.0ms
(* 2 (* wj x))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* 2 (* wj x))

simplify80.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08872
132062
2123762
3344862
4500162

prune62.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

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))
6.7b
(- wj (/ wj (+ wj 1)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
176×*-un-lft-identity
163×times-frac
121×add-sqr-sqrt
116×add-cube-cbrt
54×prod-diff
29×distribute-lft-out
24×associate-/l*
18×associate-/r/
13×add-cbrt-cube
11×add-exp-log associate-/r*
10×div-inv
9×flip3-+ flip-+
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg fma-neg clear-num
2×difference-of-squares
1×sub-neg flip3-- diff-log flip-- associate-/l/ distribute-lft-out--
Counts
4 → 236
Calls
4 calls:
5.0ms
(/ x (+ wj 1))
5.0ms
(/ wj (+ wj 1))
13.0ms
(/ (/ x (+ wj 1)) (exp wj))
17.0ms
(- wj (/ wj (+ wj 1)))

series115.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ x (+ wj 1))
20.0ms
(/ wj (+ wj 1))
38.0ms
(/ (/ x (+ wj 1)) (exp wj))
29.0ms
(- wj (/ wj (+ wj 1)))

simplify104.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09212790
140822167
250022164

prune510.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes69.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample2.1s

Algorithm
intervals
Results
968.0ms3680×body10240exit
356.0ms6317×body80valid
214.0ms3734×body80overflowed
112.0ms769×body320valid
88.0ms422×body640valid
55.0ms557×body160valid