Details

Time bar (total: 43.9s)

sample157.0ms

Algorithm
halfpoints
Results

simplify619.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
619.0ms
(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 3 expressions with local error:

19.7b
(- (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×*-un-lft-identity
35×associate-*l*
29×times-frac add-cube-cbrt
13×add-cbrt-cube add-exp-log
9×prod-diff
7×pow1
6×associate-*r*
5×add-log-exp
4×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
3×expm1-log1p-u fma-neg insert-posit16 log1p-expm1-u distribute-lft-out
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×sub-neg flip3-- diff-log flip--
Counts
3 → 108
Calls
3 calls:
Slowest
57.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
56.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
30.0ms
(- (exp x) (exp (- x)))

series248.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
117.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
84.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
47.0ms
(- (exp x) (exp (- x)))

simplify7.0s

Counts
92 → 117
Calls
92 calls:
Slowest
781.0ms
(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
480.0ms
(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
314.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
244.0ms
(* (/ (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (* (* 2 2) 2)) (* (* (cos y) (cos y)) (cos y)))
240.0ms
(* 1/2 (* (+ (exp (* -1 x)) (exp x)) (cos y)))

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

19.7b
(- (exp x) (exp (- x)))
0.7b
(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2) (cos y)))
0.2b
(* (/ (sqrt (+ (exp x) (exp (- x)))) 2) (cos y))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
70×*-un-lft-identity
69×associate-*l*
60×times-frac
50×add-cube-cbrt
44×add-exp-log
35×add-cbrt-cube
25×sqrt-prod
19×prod-exp
14×cbrt-unprod
13×pow1
11×div-exp
9×prod-diff
7×cbrt-undiv associate-*r*
6×distribute-lft-out add-log-exp
5×pow-prod-down associate-*l/ unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out-- difference-of-squares
3×fma-neg 1-exp *-commutative div-inv
1×frac-times sub-neg flip3-- diff-log associate-*r/ flip--
Counts
4 → 175
Calls
4 calls:
Slowest
97.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2) (cos y)))
54.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
42.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) 2) (cos y))
18.0ms
(- (exp x) (exp (- x)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
132.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) 2) (cos y))
131.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
71.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2) (cos y)))
46.0ms
(- (exp x) (exp (- x)))

simplify14.3s

Counts
151 → 187
Calls
151 calls:
Slowest
782.0ms
(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
556.0ms
(+ (- (log (sqrt (+ (exp x) (exp (- x))))) 0) (+ (- (log (sqrt (+ (exp x) (exp (- x))))) (log 2)) (log (cos y))))
511.0ms
(+ (- (log (sqrt (+ (exp x) (exp (- x))))) 0) (+ (log (/ (sqrt (+ (exp x) (exp (- x)))) 2)) (log (cos y))))
476.0ms
(+ (- (log (sqrt (+ (exp x) (exp (- x))))) (log 1)) (+ (- (log (sqrt (+ (exp x) (exp (- x))))) (log 2)) (log (cos y))))
464.0ms
(+ (- (log (sqrt (+ (exp x) (exp (- x))))) (log 1)) (log (* (/ (sqrt (+ (exp x) (exp (- x)))) 2) (cos y))))

prune2.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

19.7b
(- (exp x) (exp (- x)))
0.3b
(log (exp (* (/ (+ (exp x) (exp (- x))) 2) (cos y))))
0.1b
(exp (* (/ (+ (exp x) (exp (- x))) 2) (cos y)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
30×*-un-lft-identity
22×add-cube-cbrt
19×associate-*l*
16×times-frac
9×add-cbrt-cube prod-diff add-exp-log add-log-exp
7×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out-- difference-of-squares
3×log-prod fma-neg associate-*r* log-pow
2×exp-prod exp-to-pow associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp rem-log-exp pow-prod-down *-commutative div-inv flip-- exp-sqrt rem-exp-log
Counts
4 → 101
Calls
4 calls:
Slowest
76.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
15.0ms
(exp (* (/ (+ (exp x) (exp (- x))) 2) (cos y)))
13.0ms
(- (exp x) (exp (- x)))
6.0ms
(log (exp (* (/ (+ (exp x) (exp (- x))) 2) (cos y))))

series387.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
119.0ms
(exp (* (/ (+ (exp x) (exp (- x))) 2) (cos y)))
101.0ms
(log (exp (* (/ (+ (exp x) (exp (- x))) 2) (cos y))))
49.0ms
(- (exp x) (exp (- x)))

simplify7.9s

Counts
77 → 113
Calls
77 calls:
Slowest
772.0ms
(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
648.0ms
(* 1/2 (* (+ (exp (* -1 x)) (exp x)) (cos y)))
361.0ms
(- (+ (* 1/2 (* (pow x 2) E)) E) (* 1/2 (* E (pow y 2))))
345.0ms
(log (* (cbrt (exp (* (/ (+ (exp x) (exp (- x))) 2) (cos y)))) (cbrt (exp (* (/ (+ (exp x) (exp (- x))) 2) (cos y))))))
323.0ms
(exp (* 1/2 (* (+ (exp x) (exp (- x))) (cos y))))

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample5.8s

Algorithm
halfpoints
Results