Details

Time bar (total: 5.6s)

sample69.0ms

Algorithm
intervals
Results
45.0ms228×body10240exit
7.0ms210×body80valid
2.0ms24×body320valid
1.0ms17×body160valid
1.0ms7×body640valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0219
1529
21139
32408
416258
550018

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize10.0ms

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))
5.2b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite68.0ms

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:
8.0ms
(/ x (+ wj 1))
5.0ms
(/ wj (+ wj 1))
10.0ms
(/ (/ x (+ wj 1)) (exp wj))
34.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series144.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ x (+ wj 1))
21.0ms
(/ wj (+ wj 1))
45.0ms
(/ (/ x (+ wj 1)) (exp wj))
54.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify125.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
010154090
145553249
250013243

prune517.0ms

Pruning

5 alts after pruning (5 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))

rewrite10.0ms

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))
5.0ms
(* 2 (* wj x))

series48.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ x (pow wj 2))
19.0ms
(* 2 (* wj x))

simplify69.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0156135
1573114
22454114
35002112

prune97.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2 (* wj x))

rewrite5.0ms

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:
5.0ms
(* 2 (* wj x))

series19.0ms

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

simplify78.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08872
132062
2123762
3344862
4500162

prune52.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
0.6b
(cbrt (+ x (pow wj 2)))
0.6b
(cbrt (+ x (pow wj 2)))
0.6b
(cbrt (+ x (pow wj 2)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
13.0ms
(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
4.0ms
(cbrt (+ x (pow wj 2)))
4.0ms
(cbrt (+ x (pow wj 2)))
4.0ms
(cbrt (+ x (pow wj 2)))

series1.4s

Counts
4 → 12
Calls
4 calls:
275.0ms
(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
315.0ms
(cbrt (+ x (pow wj 2)))
497.0ms
(cbrt (+ x (pow wj 2)))
325.0ms
(cbrt (+ x (pow wj 2)))

simplify165.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0259918
1988867
24915790
35001790

prune287.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

regimes83.0ms

Accuracy

62% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.2b

bsearch43.0ms

Steps
ItersRangePoint
8
6.998959319022454e-10
1.5006309519768893e-05
1.0231406632906406e-08

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04142
14842
24842

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.5s7635×body10240exit
198.0ms6293×body80valid
82.0ms775×body320valid
78.0ms486×body640valid
33.0ms524×body160valid