Details

Time bar (total: 5.7s)

sample104.0ms

Algorithm
halfpoints

simplify58.0ms

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

rewrite32.0ms

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:
25.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms
(+ (exp x) (exp (- x)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
26.0ms
(+ (exp x) (exp (- x)))

simplify161.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0277461
11018404
24757402
35001402

prune144.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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)))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(+ (exp x) (exp (- x)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
32×sqrt-prod
25×times-frac
24×add-sqr-sqrt
21×add-cube-cbrt
19×associate-*l*
10×pow1
9×add-exp-log add-cbrt-cube
8×distribute-lft-out add-log-exp
5×sqrt-div
3×pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×+-commutative rem-sqrt-square flip3-+ sum-log flip-+ div-inv
1×frac-times sqrt-pow1 pow1/2 associate-*r/ associate-*r* *-commutative
Counts
4 → 89
Calls
4 calls:
10.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
54.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
5.0ms
(+ (exp x) (exp (- x)))
5.0ms
(+ (exp x) (exp (- x)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
118.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
25.0ms
(+ (exp x) (exp (- x)))
23.0ms
(+ (exp x) (exp (- x)))

simplify40.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03891107
11335955
25002943

prune334.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.2b
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.6b
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
1.0b
(sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
112×sqrt-prod
68×*-un-lft-identity
65×times-frac
56×associate-*l*
53×add-sqr-sqrt
48×add-cube-cbrt
19×pow1
18×add-exp-log add-cbrt-cube
17×sqrt-div
10×associate-*l/ distribute-lft-out
9×pow-prod-down prod-exp cbrt-unprod
6×frac-times associate-*r/ add-log-exp
3×rem-sqrt-square div-inv
2×associate-*r* *-commutative
1×+-commutative sqrt-pow1 flip3-+ pow1/2 sum-log flip-+
Counts
4 → 149
Calls
4 calls:
5.0ms
(+ (exp x) (exp (- x)))
58.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
139.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
12.0ms
(sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0))

series526.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (exp x) (exp (- x)))
206.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
119.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
178.0ms
(sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06542870
124612647
250012585

prune583.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
0.0b
(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
0.1b
(* 1/12 (pow x 4))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
19×associate-*l*
15×add-cube-cbrt
13×add-exp-log times-frac
10×associate-*r* add-cbrt-cube
8×add-log-exp
5×pow1 prod-exp unswap-sqr
4×unpow-prod-down distribute-lft-out
3×sum-log cbrt-unprod
2×*-commutative sqr-pow
1×cbrt-undiv +-commutative pow-to-exp associate-+r+ flip3-+ div-exp pow-prod-down associate-*l/ pow-exp flip-+ div-inv
Counts
3 → 74
Calls
3 calls:
13.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
54.0ms
(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
5.0ms
(* 1/12 (pow x 4))

series145.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
68.0ms
(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
40.0ms
(* 1/12 (pow x 4))

simplify43.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0365633
11558562
25002559

prune204.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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
01515
11515

end0.0ms

sample2.4s

Algorithm
halfpoints