Details

Time bar (total: 4.8s)

sample73.0ms

Algorithm
intervals
Results
36.0ms117×body10240exit
10.0ms205×body80valid
6.0ms133×body80overflowed
4.0ms17×body640valid
3.0ms21×body320valid
2.0ms18×body160valid

simplify47.0ms

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: 12.7b

localize11.0ms

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))
4.5b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite425.0ms

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
(/ wj (+ wj 1))
7.0ms
(/ x (+ wj 1))
12.0ms
(/ (/ x (+ wj 1)) (exp wj))
389.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ 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)))

simplify122.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
010154090
145553249
250013243

prune511.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
4.0ms
(+ x (pow wj 2))
6.0ms
(* 2 (* wj x))

series48.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ x (pow wj 2))
19.0ms
(* 2 (* wj x))

simplify71.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0156135
1573114
22454114
35002112

prune100.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2 (* wj x))

rewrite6.0ms

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))

simplify77.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08872
132062
2123762
3344862
4500162

prune53.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

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))
4.5b
(- wj (/ wj (+ wj 1)))

rewrite50.0ms

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
(/ wj (+ wj 1))
5.0ms
(/ x (+ wj 1))
15.0ms
(/ (/ x (+ wj 1)) (exp wj))
16.0ms
(- wj (/ wj (+ wj 1)))

series113.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ wj (+ wj 1))
22.0ms
(/ x (+ wj 1))
44.0ms
(/ (/ x (+ wj 1)) (exp wj))
26.0ms
(- wj (/ wj (+ wj 1)))

simplify105.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
09212790
140822167
250022164

prune496.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s3766×body10240exit
313.0ms6268×body80valid
166.0ms3853×body80overflowed
130.0ms827×body320valid
101.0ms446×body640valid
56.0ms537×body160valid