Details

Time bar (total: 20.8s)

sample229.0ms

Algorithm
halfpoints
Results

simplify651.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
651.0ms
(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

18.2b
(- (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.0b
(+ (exp x) (exp (- x)))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
35×associate-*l*
29×times-frac
23×add-cube-cbrt
14×add-cbrt-cube add-exp-log
8×pow1 add-log-exp
6×associate-*r*
4×prod-exp cbrt-unprod insert-posit16 distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative sum-log sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
4 → 103
Calls
4 calls:
Slowest
77.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
74.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
18.0ms
(+ (exp x) (exp (- x)))
10.0ms
(- (exp x) (exp (- x)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
122.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
101.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
50.0ms
(- (exp x) (exp (- x)))
43.0ms
(+ (exp x) (exp (- x)))

simplify5.3s

Counts
77 → 115
Calls
77 calls:
Slowest
893.0ms
(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
439.0ms
(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
263.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
243.0ms
(* 1/2 (* (- (exp x) (exp (- x))) (sin y)))
232.0ms
(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
9×times-frac
7×add-cbrt-cube
5×pow1 add-exp-log add-log-exp
3×associate-/r* associate-*r* associate-*l* insert-posit16 associate-/l*
2×div-inv
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 60
Calls
3 calls:
Slowest
39.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
21.0ms
(* (cos y) (exp x))
18.0ms
(/ (cos y) (exp x))

series183.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
103.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
42.0ms
(* (cos y) (exp x))
38.0ms
(/ (cos y) (exp x))

simplify1.6s

Counts
47 → 69
Calls
47 calls:
Slowest
408.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
350.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
181.0ms
(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
153.0ms
(- 1 (+ (* 1/2 (pow y 2)) x))
65.0ms
(- (+ x 1) (* 1/2 (pow y 2)))

prune634.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
17×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube
12×associate-*r* add-exp-log
11×pow1
9×times-frac
7×sqrt-prod
6×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
3×associate-/r* associate-/l*
2×*-commutative unswap-sqr
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp flip-+ div-inv
Counts
4 → 85
Calls
4 calls:
Slowest
68.0ms
(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))
22.0ms
(+ (/ (cos y) (exp x)) (* (* (cos y) (sqrt (exp x))) (sqrt (exp x))))
19.0ms
(/ (cos y) (exp x))
12.0ms
(* (cos y) (sqrt (exp x)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
82.0ms
(+ (/ (cos y) (exp x)) (* (* (cos y) (sqrt (exp x))) (sqrt (exp x))))
56.0ms
(* (cos y) (sqrt (exp x)))
44.0ms
(/ (cos y) (exp x))
30.0ms
(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))

simplify2.3s

Counts
66 → 97
Calls
66 calls:
Slowest
346.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
345.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
321.0ms
(* (* (* (* (cos y) (sqrt (exp x))) (* (cos y) (sqrt (exp x)))) (* (cos y) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
305.0ms
(* (exp (/ (cos y) (exp x))) (exp (* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))))
215.0ms
(* (* (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample6.0s

Algorithm
halfpoints
Results