Details

Time bar (total: 6.4s)

sample68.0ms

Algorithm
intervals
Results
45.0ms252×body10240exit
6.0ms206×body80valid
2.0ms14×body640valid
2.0ms21×body320valid
1.0ms16×body160valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0219
1529
21139
32408
416258
550018

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.7b

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))
4.2b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite438.0ms

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))
5.0ms
(/ x (+ wj 1))
12.0ms
(/ (/ x (+ wj 1)) (exp wj))
403.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series143.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ wj (+ wj 1))
25.0ms
(/ x (+ wj 1))
39.0ms
(/ (/ x (+ wj 1)) (exp wj))
59.0ms
(- (+ (/ (/ 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

prune509.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

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:
49.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms
(+ x (pow wj 2))
6.0ms
(* 2 (* wj x))

series78.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- (+ x (pow wj 2)) (* 2 (* wj x)))
30.0ms
(+ x (pow wj 2))
19.0ms
(* 2 (* wj x))

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0237340
1926292
25001274

prune142.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune9.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ x (+ wj 1)) (exp wj))
0.0b
(* (/ (/ x (+ wj 1)) (exp wj)) (/ (/ x (+ wj 1)) (exp wj)))
3.0b
(- (* (- (* (/ (/ x (+ wj 1)) (exp wj)) (/ (/ x (+ wj 1)) (exp wj))) (* wj wj)) (+ wj 1)) (* (- (/ (/ x (+ wj 1)) (exp wj)) wj) wj))
16.5b
(/ (- (* (- (* (/ (/ x (+ wj 1)) (exp wj)) (/ (/ x (+ wj 1)) (exp wj))) (* wj wj)) (+ wj 1)) (* (- (/ (/ x (+ wj 1)) (exp wj)) wj) wj)) (* (- (/ (/ x (+ wj 1)) (exp wj)) wj) (+ wj 1)))

rewrite407.0ms

Algorithm
rewrite-expression-head
Rules
555×times-frac
403×*-un-lft-identity
289×add-sqr-sqrt
253×add-cube-cbrt
76×swap-sqr
66×distribute-lft-out
58×associate-*r* associate-*l*
50×add-cbrt-cube
43×associate-*l/
40×associate-/r/
36×add-exp-log
33×flip3-- flip--
32×frac-sub
31×flip3-+ flip-+
23×cbrt-undiv div-exp
22×div-inv
21×frac-times associate-/l*
19×associate-/l/
11×pow1 associate-*r/
10×prod-exp cbrt-unprod
9×unswap-sqr
6×add-log-exp
4×expm1-log1p-u associate-/r* log1p-expm1-u
2×frac-2neg associate--l+ clear-num
1×pow2 distribute-rgt-in sub-neg distribute-lft-in pow-plus fma-neg diff-log div-sub prod-diff pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 413
Calls
4 calls:
12.0ms
(/ (/ x (+ wj 1)) (exp wj))
92.0ms
(* (/ (/ x (+ wj 1)) (exp wj)) (/ (/ x (+ wj 1)) (exp wj)))
86.0ms
(- (* (- (* (/ (/ x (+ wj 1)) (exp wj)) (/ (/ x (+ wj 1)) (exp wj))) (* wj wj)) (+ wj 1)) (* (- (/ (/ x (+ wj 1)) (exp wj)) wj) wj))
181.0ms
(/ (- (* (- (* (/ (/ x (+ wj 1)) (exp wj)) (/ (/ x (+ wj 1)) (exp wj))) (* wj wj)) (+ wj 1)) (* (- (/ (/ x (+ wj 1)) (exp wj)) wj) wj)) (* (- (/ (/ x (+ wj 1)) (exp wj)) wj) (+ wj 1)))

series652.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (/ x (+ wj 1)) (exp wj))
54.0ms
(* (/ (/ x (+ wj 1)) (exp wj)) (/ (/ x (+ wj 1)) (exp wj)))
208.0ms
(- (* (- (* (/ (/ x (+ wj 1)) (exp wj)) (/ (/ x (+ wj 1)) (exp wj))) (* wj wj)) (+ wj 1)) (* (- (/ (/ x (+ wj 1)) (exp wj)) wj) wj))
352.0ms
(/ (- (* (- (* (/ (/ x (+ wj 1)) (exp wj)) (/ (/ x (+ wj 1)) (exp wj))) (* wj wj)) (+ wj 1)) (* (- (/ (/ x (+ wj 1)) (exp wj)) wj) wj)) (* (- (/ (/ x (+ wj 1)) (exp wj)) wj) (+ wj 1)))

simplify118.0ms

Algorithm
egg-herbie
Counts
425 → 425
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
025498387
150017918

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes76.0ms

Accuracy

55.5% (0.8b remaining)

Error of 1.2b against oracle of 0.5b and baseline of 2.2b

bsearch43.0ms

Steps
ItersRangePoint
9
5.409776585196184e-17
1.0238400441369445e-09
1.0018755083909558e-09

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03634
13634

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.4s7661×body10240exit
190.0ms6278×body80valid
72.0ms807×body320valid
64.0ms440×body640valid
35.0ms540×body160valid