Details

Time bar (total: 5.8s)

sample106.0ms

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)))

rewrite15.0ms

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:
9.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms
(+ (exp x) (exp (- x)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms
(+ (exp x) (exp (- x)))

simplify158.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0277461
11018404
24757402
35001402

prune138.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))

rewrite35.0ms

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:
6.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
17.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
4.0ms
(+ (exp x) (exp (- x)))
5.0ms
(+ (exp x) (exp (- x)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
119.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
23.0ms
(+ (exp x) (exp (- x)))
26.0ms
(+ (exp x) (exp (- x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03891107
11335955
25002943

prune317.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(cbrt (pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3))
0.0b
(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
64×sqrt-prod
48×times-frac
44×cbrt-prod
42×add-sqr-sqrt add-cube-cbrt
38×unpow-prod-down cube-prod
14×distribute-lft-out
8×add-log-exp
6×pow1
5×add-exp-log add-cbrt-cube
4×div-inv
3×pow-unpow pow-pow
2×+-commutative cube-div cube-mult flip3-+ sqrt-div unpow3 sum-log flip-+ sqr-pow
1×pow-to-exp cbrt-div sqrt-pow1 pow1/2 pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 137
Calls
4 calls:
4.0ms
(+ (exp x) (exp (- x)))
5.0ms
(+ (exp x) (exp (- x)))
9.0ms
(cbrt (pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3))
9.0ms
(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)

series375.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (exp x) (exp (- x)))
22.0ms
(+ (exp x) (exp (- x)))
100.0ms
(cbrt (pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3))
224.0ms
(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)

simplify54.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05171601
117691488
250021461

prune360.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))

rewrite70.0ms

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)))
22.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
29.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
7.0ms
(sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0))

series533.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (exp x) (exp (- x)))
211.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
120.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
179.0ms
(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

prune559.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01817
11817

end0.0ms

sample2.4s

Algorithm
halfpoints