Details

Time bar (total: 4.4s)

sample104.0ms

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

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))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
16×add-sqr-sqrt associate-*l*
13×times-frac
11×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out add-log-exp
3×associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 47
Calls
2 calls:
5.0ms
(+ (exp x) (exp (- x)))
10.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (exp x) (exp (- x)))
61.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify162.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0277461
11018404
24757402
35001402

prune130.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

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)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
48×sqrt-prod
38×times-frac
35×add-sqr-sqrt
29×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×rem-sqrt-square
3×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 → 105
Calls
4 calls:
5.0ms
(+ (exp x) (exp (- x)))
6.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
7.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
18.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (exp x) (exp (- x)))
95.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
95.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
116.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03891328
113351167
250021146

prune345.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (exp x) (exp (- x))))
0.0b
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 1 2.0))) (cos y)))
1.0b
(* (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 1 2.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
63×sqrt-prod
54×add-sqr-sqrt
50×*-un-lft-identity
38×times-frac
32×add-cube-cbrt
30×sqrt-div
26×associate-*l*
19×pow1
17×associate-*r* associate-*l/
15×add-exp-log add-cbrt-cube
11×frac-times
9×pow-prod-down
8×associate-*r/ distribute-lft-out unswap-sqr
7×flip3-+ prod-exp cbrt-unprod flip-+
4×sqrt-pow1 pow1/2 add-log-exp
3×rem-sqrt-square div-inv
2×*-commutative
1×sqrt-unprod
Counts
4 → 142
Calls
4 calls:
5.0ms
(sqrt (+ (exp x) (exp (- x))))
6.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
23.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 1 2.0))) (cos y)))
15.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 1 2.0)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (+ (exp x) (exp (- x))))
97.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
118.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 1 2.0))) (cos y)))
104.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 1 2.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05992093
124561965
250021918

prune468.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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

sample2.0s

Algorithm
halfpoints