Details

Time bar (total: 5.6s)

sample79.0ms

Algorithm
intervals
Results
53.0ms285×body10240exit
6.0ms197×body80valid
3.0ms17×body640valid
2.0ms26×body320valid
1.0ms18×body160valid

simplify48.0ms

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: 14.0b

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)))

rewrite496.0ms

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:
6.0ms
(/ x (+ wj 1))
6.0ms
(/ wj (+ wj 1))
13.0ms
(/ (/ x (+ wj 1)) (exp wj))
457.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ x (+ wj 1))
21.0ms
(/ wj (+ wj 1))
39.0ms
(/ (/ x (+ wj 1)) (exp wj))
61.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify124.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
010154090
145553249
250013243

prune554.0ms

Pruning

4 alts after pruning (4 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))

series53.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (pow wj 2))
19.0ms
(* 2 (* wj x))

simplify70.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0156135
1573114
22454114
35002112

prune92.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

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))
6.2b
(- wj (/ wj (+ wj 1)))

rewrite54.0ms

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:
6.0ms
(/ x (+ wj 1))
6.0ms
(/ wj (+ wj 1))
13.0ms
(/ (/ x (+ wj 1)) (exp wj))
18.0ms
(- wj (/ wj (+ wj 1)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ x (+ wj 1))
21.0ms
(/ wj (+ wj 1))
41.0ms
(/ (/ x (+ wj 1)) (exp wj))
32.0ms
(- wj (/ wj (+ wj 1)))

simplify106.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09212790
140822167
250022164

prune528.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ wj 1))
0.0b
(fma wj wj (- (pow wj 4) (pow wj 3)))
0.0b
(- (pow wj 4) (pow wj 3))
0.0b
(/ (/ x (+ wj 1)) (exp wj))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
145×*-un-lft-identity
128×add-sqr-sqrt
114×times-frac
111×add-cube-cbrt
84×prod-diff
67×unpow-prod-down
27×sqr-pow
24×cube-prod
21×associate-/l*
16×distribute-lft-out
12×difference-of-squares
11×add-cbrt-cube
10×associate-/r/
9×add-exp-log
7×cube-mult fma-neg unpow3 associate-/r*
6×div-inv add-log-exp
5×flip3-+ flip-+
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log flip-- fma-udef associate-/l/ distribute-lft-out--
Counts
4 → 255
Calls
4 calls:
6.0ms
(/ x (+ wj 1))
0.0ms
(fma wj wj (- (pow wj 4) (pow wj 3)))
17.0ms
(- (pow wj 4) (pow wj 3))
14.0ms
(/ (/ x (+ wj 1)) (exp wj))

series182.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ x (+ wj 1))
29.0ms
(fma wj wj (- (pow wj 4) (pow wj 3)))
84.0ms
(- (pow wj 4) (pow wj 3))
40.0ms
(/ (/ x (+ wj 1)) (exp wj))

simplify116.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
08622505
136381947
250021942

prune592.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes42.0ms

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
1.4s7727×body10240exit
201.0ms6322×body80valid
71.0ms747×body320valid
69.0ms465×body640valid
33.0ms544×body160valid