Details

Time bar (total: 4.1s)

sample76.0ms

Algorithm
intervals
Results
46.0ms260×body10240exit
6.0ms209×body80valid
6.0ms21×body320valid
2.0ms14×body640valid
1.0ms16×body160valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0219
1529
21139
32408
416258
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)))

rewrite70.0ms

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))
9.0ms
(/ x (+ wj 1))
10.0ms
(/ (/ x (+ wj 1)) (exp wj))
33.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series143.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ wj (+ wj 1))
22.0ms
(/ x (+ wj 1))
45.0ms
(/ (/ x (+ wj 1)) (exp wj))
54.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify137.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
010154090
145553249
250013243

prune465.0ms

Filtered
272 candidates to 165 candidates (60.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2657272
Fresh101
Picked101
Done000
Total2677274

Merged error: 0.3b

Counts
274 → 7

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))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt
4×fma-neg prod-diff
3×expm1-log1p-u fma-def associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ associate-*r* associate--l+ *-commutative flip-- flip-+
Counts
3 → 61
Calls
3 calls:
8.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms
(* 2 (* wj x))
5.0ms
(+ x (pow wj 2))

series79.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))
18.0ms
(* 2 (* wj x))
32.0ms
(+ x (pow wj 2))

simplify36.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0237344
1923293
25002274

prune133.0ms

Filtered
70 candidates to 49 candidates (70.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh066
Picked101
Done000
Total69877

Merged error: 0.3b

Counts
77 → 8

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune20.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New000
Fresh077
Picked011
Done000
Total088

Merged error: 0.3b

Counts
8 → 8

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))
4.9b
(- wj (/ wj (+ wj 1)))

rewrite45.0ms

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))
10.0ms
(/ (/ x (+ wj 1)) (exp wj))
11.0ms
(- wj (/ wj (+ wj 1)))

series113.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ x (+ wj 1))
26.0ms
(/ wj (+ wj 1))
39.0ms
(/ (/ x (+ wj 1)) (exp wj))
25.0ms
(- wj (/ wj (+ wj 1)))

simplify105.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09212790
140822167
250022164

prune409.0ms

Filtered
248 candidates to 162 candidates (65.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2462248
Fresh336
Picked101
Done011
Total2506256

Merged error: 0.0b

Counts
256 → 6

regimes56.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b 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
1.4s7502×body10240exit
198.0ms6321×body80valid
71.0ms759×body320valid
62.0ms441×body640valid
37.0ms557×body160valid