Details

Time bar (total: 5.0s)

sample103.0ms

Algorithm
halfpoints

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
17×add-sqr-sqrt
16×associate-*l*
13×times-frac
12×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out add-log-exp
3×fma-def associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 54
Calls
2 calls:
6.0ms
(+ (exp x) (exp (- x)))
31.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (exp x) (exp (- x)))
60.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify167.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0286487
11053428
24913426
35001426

prune158.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
48×sqrt-prod
38×times-frac
36×add-sqr-sqrt
30×add-cube-cbrt
19×associate-*l*
11×pow1
10×distribute-lft-out
9×add-exp-log add-cbrt-cube
6×sqrt-div add-log-exp
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u
3×fma-def pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv
2×sqrt-pow1 pow1/2
1×+-commutative frac-times flip3-+ associate-*r/ associate-*r* sum-log *-commutative flip-+
Counts
4 → 116
Calls
4 calls:
6.0ms
(+ (exp x) (exp (- x)))
12.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
11.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
59.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series355.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (exp x) (exp (- x)))
104.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
102.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
126.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
04021396
113881234
250011214

prune402.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
0.0b
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
0.0b
(* (sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (* (sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
125×sqrt-prod
64×*-un-lft-identity
51×add-sqr-sqrt times-frac
40×add-cube-cbrt
25×sqrt-div
22×associate-*l*
18×pow1
13×add-exp-log add-cbrt-cube
12×distribute-lft-out
9×sqrt-pow1
8×rem-sqrt-square
7×associate-*l/
6×pow-prod-down prod-exp cbrt-unprod
5×frac-times pow1/2 associate-*r/
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×associate-*r* *-commutative
Counts
4 → 151
Calls
4 calls:
12.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
13.0ms
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
13.0ms
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
152.0ms
(* (sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (* (sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))

series644.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
208.0ms
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
208.0ms
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
126.0ms
(* (sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (* (sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04882404
118441996
250011879

prune664.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
0127
1127

end0.0ms

sample1.8s

Algorithm
halfpoints