Details

Time bar (total: 30.2s)

sample249.0ms

Algorithm
halfpoints
Results

simplify244.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
243.0ms
(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 3 expressions with local error:

18.7b
(- (exp x) (exp (- x)))
0.0b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b
(+ (exp x) (exp (- x)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
31×*-un-lft-identity
21×add-cube-cbrt
19×associate-*l*
16×times-frac
9×prod-diff
8×add-cbrt-cube add-exp-log
7×add-log-exp
5×pow1
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u fma-def fma-neg associate-*r* insert-posit16 log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sum-log sub-neg flip3-+ flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv flip-- distribute-lft-out
Counts
3 → 88
Calls
3 calls:
Slowest
69.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
20.0ms
(+ (exp x) (exp (- x)))
13.0ms
(- (exp x) (exp (- x)))

series203.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
112.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
47.0ms
(- (exp x) (exp (- x)))
43.0ms
(+ (exp x) (exp (- x)))

simplify5.3s

Counts
68 → 97
Calls
68 calls:
Slowest
737.0ms
(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
315.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
279.0ms
(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))
235.0ms
(* 1/2 (* (- (exp x) (exp (- x))) (sin y)))
228.0ms
(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

18.7b
(- (exp x) (exp (- x)))
18.7b
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))
0.0b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b
(pow (exp (- x)) 3)

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
59×exp-neg
40×add-sqr-sqrt associate-*r/
39×neg-sub0 exp-diff
35×*-un-lft-identity
27×frac-sub add-cube-cbrt
20×un-div-inv
19×associate-*l*
16×times-frac
15×sub-div
13×associate-*l/
12×frac-times
11×pow-pow
10×exp-prod add-cbrt-cube prod-diff
9×add-exp-log
8×add-log-exp
7×pow1
4×expm1-log1p-u fma-neg insert-posit16 log1p-expm1-u distribute-lft-out-- difference-of-squares
3×distribute-lft-neg-in pow-unpow unpow-prod-down distribute-rgt-neg-in cube-prod associate-*r*
2×cube-div sub-neg flip3-- diff-log prod-exp cbrt-unprod flip-- unswap-sqr
1×cube-mult pow-to-exp cbrt-undiv neg-mul-1 distribute-rgt-out-- unpow3 div-exp pow-prod-down pow-exp *-commutative div-inv rem-cube-cbrt sqr-pow
Counts
4 → 168
Calls
4 calls:
Slowest
66.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
57.0ms
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))
21.0ms
(- (exp x) (exp (- x)))
6.0ms
(pow (exp (- x)) 3)

series304.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
134.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
69.0ms
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))
53.0ms
(- (exp x) (exp (- x)))
48.0ms
(pow (exp (- x)) 3)

simplify12.5s

Counts
180 → 180
Calls
180 calls:
Slowest
924.0ms
(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
346.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
312.0ms
(/ (exp (* (exp (- x)) (exp (- x)))) (exp (* (exp x) (exp (- x)))))
254.0ms
(- (* (* 1 1) (exp x)) (* (* (exp x) (exp x)) (* (exp x) (exp 0))))
252.0ms
(* 1/2 (* (- (exp x) (exp (- x))) (sin y)))

prune3.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample5.5s

Algorithm
halfpoints
Results