Details

Time bar (total: 28.3s)

sample181.0ms

Algorithm
halfpoints
Results

simplify191.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
191.0ms
(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite56.0ms

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)))
20.0ms
(* (cos y) (exp x))
9.0ms
(/ (cos y) (exp x))

series150.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
87.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
34.0ms
(/ (cos y) (exp x))
29.0ms
(* (cos y) (exp x))

simplify1.5s

Counts
47 → 69
Calls
47 calls:
Slowest
406.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
329.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
176.0ms
(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
142.0ms
(- 1 (+ (* 1/2 (pow y 2)) x))
76.0ms
(- (+ (pow x 2) 2) (pow y 2))

prune608.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

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))))

rewrite115.0ms

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
66.0ms
(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))
25.0ms
(+ (/ (cos y) (exp x)) (* (* (cos y) (sqrt (exp x))) (sqrt (exp x))))
14.0ms
(* (cos y) (sqrt (exp x)))
9.0ms
(/ (cos y) (exp x))

series224.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
105.0ms
(+ (/ (cos y) (exp x)) (* (* (cos y) (sqrt (exp x))) (sqrt (exp x))))
48.0ms
(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))
40.0ms
(* (cos y) (sqrt (exp x)))
30.0ms
(/ (cos y) (exp x))

simplify2.5s

Counts
66 → 97
Calls
66 calls:
Slowest
419.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
364.0ms
(* (exp (/ (cos y) (exp x))) (exp (* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))))
363.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (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))))
223.0ms
(* (* (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))

prune983.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

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)))

rewrite103.0ms

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
50.0ms
(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))
16.0ms
(* (cos y) (sqrt (exp x)))
15.0ms
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
10.0ms
(/ (cos y) (sqrt (exp x)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
61.0ms
(/ (cos y) (sqrt (exp x)))
44.0ms
(* (cos y) (sqrt (exp x)))
32.0ms
(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))
30.0ms
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))

simplify12.8s

Counts
382 → 273
Calls
382 calls:
Slowest
452.0ms
(/ (/ (sqrt (cos y)) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))))
369.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
342.0ms
(/ (/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
298.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
277.0ms
(/ (* (* (/ (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

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm
halfpoints
Results