Details

Time bar (total: 24.7s)

sample221.0ms

Algorithm
halfpoints
Results

simplify243.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
242.0ms
(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cos y) (exp x))
0.0b
(fma (cos y) (exp x) (/ (cos y) (exp x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube
3×associate-/r* add-exp-log associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
Slowest
14.0ms
(/ (cos y) (exp x))
0.0ms
(fma (cos y) (exp x) (/ (cos y) (exp x)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
86.0ms
(fma (cos y) (exp x) (/ (cos y) (exp x)))
36.0ms
(/ (cos y) (exp x))

simplify1.0s

Counts
31 → 47
Calls
31 calls:
Slowest
489.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
158.0ms
(- 1 (+ (* 1/2 (pow y 2)) x))
62.0ms
(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
59.0ms
(- (+ (pow x 2) 2) (pow y 2))
31.0ms
(/ (* (cbrt (cos y)) (cbrt (cos y))) (sqrt (exp x)))

prune510.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

17.9b
(- (exp x) (exp (- x)))
0.0b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.0b
(+ (exp x) (exp (- x)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
47×*-un-lft-identity
35×associate-*l*
31×add-cube-cbrt
29×times-frac
14×add-cbrt-cube add-exp-log
9×prod-diff
8×pow1 add-log-exp
6×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
3×fma-def fma-neg
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 → 126
Calls
4 calls:
Slowest
70.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
56.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
25.0ms
(- (exp x) (exp (- x)))
10.0ms
(+ (exp x) (exp (- x)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
117.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
75.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
48.0ms
(- (exp x) (exp (- x)))
30.0ms
(+ (exp x) (exp (- x)))

simplify7.5s

Counts
99 → 138
Calls
99 calls:
Slowest
767.0ms
(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
528.0ms
(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
302.0ms
(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))
268.0ms
(* 1/2 (* (+ (exp (* -1 x)) (exp x)) (cos y)))
263.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

17.9b
(- (exp x) (exp (- x)))
0.0b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(+ (exp x) (exp (- x)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
35×*-un-lft-identity
23×add-cube-cbrt
19×associate-*l*
16×times-frac
10×add-log-exp
9×add-cbrt-cube prod-diff add-exp-log
6×pow1 fma-def
4×expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out-- difference-of-squares
3×fma-neg associate-*r*
2×+-commutative sum-log flip3-+ prod-exp cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv flip--
Counts
4 → 106
Calls
4 calls:
Slowest
40.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
13.0ms
(- (exp x) (exp (- x)))
11.0ms
(+ (exp x) (exp (- x)))
11.0ms
(+ (exp x) (exp (- x)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
91.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
40.0ms
(- (exp x) (exp (- x)))
27.0ms
(+ (exp x) (exp (- x)))
26.0ms
(+ (exp x) (exp (- x)))

simplify5.4s

Counts
75 → 118
Calls
75 calls:
Slowest
799.0ms
(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
321.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
296.0ms
(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))
261.0ms
(* 1/2 (* (- (exp x) (exp (- x))) (sin y)))
193.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample5.1s

Algorithm
halfpoints
Results