Details

Time bar (total: 5.7s)

sample75.0ms

Algorithm
intervals
Results
50.0ms269×body10240exit
6.0ms199×body80valid
2.0ms24×body320valid
2.0ms15×body640valid
1.0ms21×body160valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0209
1489
21079
32248
415148
550018

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.9b

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))
6.1b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
118×*-un-lft-identity
78×add-sqr-sqrt
73×add-cube-cbrt
24×associate-/l*
21×distribute-lft-out
13×add-cbrt-cube
12×associate-/r/
11×add-exp-log associate-/r*
9×add-log-exp
7×flip3-+ flip-+ div-inv
5×cbrt-undiv div-exp
4×pow1
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 → 176
Calls
4 calls:
5.0ms
(/ wj (+ wj 1))
5.0ms
(/ x (+ wj 1))
12.0ms
(/ (/ x (+ wj 1)) (exp wj))
323.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ wj (+ wj 1))
22.0ms
(/ x (+ wj 1))
39.0ms
(/ (/ x (+ wj 1)) (exp wj))
59.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify79.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07211524
133031471
250011469

prune452.0ms

Pruning

6 alts after pruning (6 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))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 30
Calls
2 calls:
4.0ms
(+ 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))

simplify69.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0149122
1550108
22362107
35001107

prune75.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- wj 1) (exp wj))
0.0b
(/ wj (+ wj 1))
0.0b
(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
6.1b
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
80×*-un-lft-identity
77×times-frac
46×add-cube-cbrt
25×associate-*r*
24×associate-*l*
22×difference-of-squares
20×add-cbrt-cube
17×add-exp-log
10×difference-of-sqr-1 associate-/l*
9×add-log-exp
8×distribute-lft-out--
7×associate-/r*
6×pow1 cbrt-undiv div-exp
4×prod-exp associate-/r/ cbrt-unprod div-inv distribute-lft-out unswap-sqr
3×flip3-- flip--
2×frac-2neg flip3-+ diff-log clear-num frac-sub flip-+ associate-/l/
1×frac-times sub-neg div-sub associate-*r/ pow-prod-down associate-*l/ associate--l+ sum-log *-commutative
Counts
4 → 171
Calls
4 calls:
8.0ms
(/ (- wj 1) (exp wj))
7.0ms
(/ wj (+ wj 1))
37.0ms
(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
119.0ms
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (- wj 1) (exp wj))
21.0ms
(/ wj (+ wj 1))
72.0ms
(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
118.0ms
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

simplify109.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08441620
145311505
250031505

prune492.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt wj)
0.6b
(cbrt wj)
0.6b
(cbrt wj)
11.5b
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ (* (cbrt wj) (cbrt wj)) (/ (+ wj 1) (cbrt wj))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
10×cbrt-prod
9×*-un-lft-identity add-log-exp
7×add-cube-cbrt
5×times-frac
4×pow1 add-exp-log add-cbrt-cube difference-of-squares
3×pow1/3
2×diff-log frac-sub
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+ distribute-lft-out--
Counts
4 → 54
Calls
4 calls:
0.0ms
(cbrt wj)
0.0ms
(cbrt wj)
1.0ms
(cbrt wj)
126.0ms
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ (* (cbrt wj) (cbrt wj)) (/ (+ wj 1) (cbrt wj))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt wj)
177.0ms
(cbrt wj)
185.0ms
(cbrt wj)
128.0ms
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ (* (cbrt wj) (cbrt wj)) (/ (+ wj 1) (cbrt wj))))

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0278741
11024696
25001653

prune228.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes77.0ms

Accuracy

39.3% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 2.1b

bsearch33.0ms

Steps
ItersRangePoint
7
-3.611007390696603e-07
-6.7357437175194845e-09
-1.1501535783428499e-08

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03421
13421

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.4s7583×body10240exit
190.0ms6253×body80valid
74.0ms803×body320valid
69.0ms463×body640valid
34.0ms557×body160valid