Details

Time bar (total: 27.1s)

sample240.0ms

Algorithm
halfpoints
Results

simplify216.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
216.0ms
(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite58.0ms

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
27.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
18.0ms
(/ (cos y) (exp x))
13.0ms
(* (cos y) (exp x))

series155.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
81.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
44.0ms
(/ (cos y) (exp x))
30.0ms
(* (cos y) (exp x))

simplify1.3s

Counts
47 → 69
Calls
47 calls:
Slowest
373.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
283.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
150.0ms
(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
109.0ms
(- 1 (+ (* 1/2 (pow y 2)) x))
64.0ms
(- (+ x 1) (* 1/2 (pow y 2)))

prune755.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

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
36.0ms
(+ (/ (cos y) (exp x)) (* (* (cos y) (sqrt (exp x))) (sqrt (exp x))))
33.0ms
(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))
14.0ms
(* (cos y) (sqrt (exp x)))
9.0ms
(/ (cos y) (exp x))

series235.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
96.0ms
(+ (/ (cos y) (exp x)) (* (* (cos y) (sqrt (exp x))) (sqrt (exp x))))
51.0ms
(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))
45.0ms
(* (cos y) (sqrt (exp x)))
42.0ms
(/ (cos y) (exp x))

simplify2.3s

Counts
66 → 97
Calls
66 calls:
Slowest
431.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
332.0ms
(* (* (* (* (cos y) (sqrt (exp x))) (* (cos y) (sqrt (exp x)))) (* (cos y) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
294.0ms
(* (exp (/ (cos y) (exp x))) (exp (* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))))
258.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
240.0ms
(* (* (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
165×add-sqr-sqrt
161×*-un-lft-identity add-cube-cbrt
151×sqrt-prod
25×associate-/l*
18×add-cbrt-cube add-exp-log
12×associate-/r* associate-*r*
11×pow1
9×div-inv
4×cbrt-undiv div-exp associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×clear-num frac-2neg *-commutative unswap-sqr
1×associate-/l/
Counts
4 → 261
Calls
4 calls:
Slowest
38.0ms
(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))
20.0ms
(* (cos y) (sqrt (exp x)))
16.0ms
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
9.0ms
(/ (cos y) (sqrt (exp x)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
75.0ms
(/ (cos y) (sqrt (exp x)))
63.0ms
(* (cos y) (sqrt (exp x)))
58.0ms
(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))
52.0ms
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))

simplify11.4s

Counts
382 → 273
Calls
382 calls:
Slowest
428.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
349.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
280.0ms
(/ (/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
232.0ms
(* (* (* (* (cos y) (sqrt (exp x))) (* (cos y) (sqrt (exp x)))) (* (cos y) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
218.0ms
(/ (* (* (/ (cos y) (sqrt (exp x))) (/ (cos y) (sqrt (exp x)))) (/ (cos y) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))

prune3.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample5.4s

Algorithm
halfpoints
Results