Details

Time bar (total: 4.6s)

sample101.0ms

Algorithm
halfpoints

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31217
42067
54107
610177
720747
850017

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.6b
(- (exp x) (exp (- x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
23×*-un-lft-identity
19×associate-*l*
16×times-frac
13×add-cube-cbrt
add-exp-log add-cbrt-cube
add-log-exp
pow1
distribute-lft-out-- difference-of-squares
associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv +-commutative sub-neg flip3-- flip3-+ diff-log div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-- flip-+ div-inv distribute-lft-out
Counts
3 → 64
Calls
3 calls:
5.0ms
(+ (exp x) (exp (- x)))
11.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms
(- (exp x) (exp (- x)))

series140.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (exp x) (exp (- x)))
79.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms
(- (exp x) (exp (- x)))

simplify35.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0345606
11108537
25001536

prune251.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b
(* 1/12 (pow x 4))
18.6b
(- (exp x) (exp (- x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
27×*-un-lft-identity
22×associate-*l*
17×add-cube-cbrt
16×times-frac
14×add-exp-log
11×add-cbrt-cube add-log-exp
10×associate-*r*
pow1
prod-exp unswap-sqr
unpow-prod-down distribute-lft-out-- difference-of-squares
sum-log cbrt-unprod
*-commutative sqr-pow
cbrt-undiv +-commutative pow-to-exp sub-neg associate-+r+ flip3-- flip3-+ diff-log div-exp pow-prod-down associate-*l/ pow-exp flip-- flip-+ div-inv distribute-lft-out
Counts
4 → 91
Calls
4 calls:
8.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
11.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms
(* 1/12 (pow x 4))
5.0ms
(- (exp x) (exp (- x)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
77.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms
(* 1/12 (pow x 4))
38.0ms
(- (exp x) (exp (- x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0477732
11789659
25001655

prune391.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/12 (pow x 4))
0.1b
(* 1/12 (pow x 4))
0.1b
(* 1/12 (pow x 4))
18.6b
(- (exp x) (exp (- x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
21×associate-*r*
19×add-exp-log
15×*-un-lft-identity
13×add-cube-cbrt
12×unpow-prod-down
10×add-cbrt-cube
associate-*l* prod-exp unswap-sqr
add-log-exp sqr-pow
pow1
pow-to-exp pow-exp *-commutative cbrt-unprod
sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 89
Calls
4 calls:
6.0ms
(* 1/12 (pow x 4))
6.0ms
(* 1/12 (pow x 4))
6.0ms
(* 1/12 (pow x 4))
8.0ms
(- (exp x) (exp (- x)))

series148.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 1/12 (pow x 4))
36.0ms
(* 1/12 (pow x 4))
39.0ms
(* 1/12 (pow x 4))
35.0ms
(- (exp x) (exp (- x)))

simplify144.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0196411
1678384
23329374
35001374

prune410.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01916
11916

end0.0ms

sample2.5s

Algorithm
halfpoints