Details

Time bar (total: 26.8s)

sample682.0ms

Algorithm
halfpoints
Results

simplify215.0ms

Calls
1 calls:
Slowest
214.0ms
(im (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: 43.7b

localize85.0ms

Local error

Found 3 expressions with local error:

57.7b
(- (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity
8×associate-*l*
7×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r*
5×add-log-exp
3×insert-posit16
2×pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod div-inv
1×sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares
Calls
3 calls:
Slowest
30.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
22.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
8.0ms
(- (exp x) (exp (- x)))

series220.0ms

Calls
3 calls:
Slowest
82.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
79.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
60.0ms
(- (exp x) (exp (- x)))

simplify2.9s

Calls
33 calls:
Slowest
821.0ms
(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
325.0ms
(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
167.0ms
(* 1/2 (* (- (exp x) (exp (- x))) (sin y)))
153.0ms
(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))
150.0ms
(* 1/2 (* (+ (exp x) (exp (- x))) (cos y)))

prune914.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.1b
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
0.1b
(* x (* 1/3 x))
0.1b
(* (pow x 5) 1/60)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
6×pow1 add-cbrt-cube add-exp-log
4×associate-*r* *-commutative insert-posit16 add-log-exp
1×pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv
Calls
4 calls:
Slowest
15.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
3.0ms
(* (pow x 5) 1/60)
1.0ms
(* x (* 1/3 x))
0.0ms
(* 1/3 x)

series111.0ms

Calls
4 calls:
Slowest
65.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
21.0ms
(* (pow x 5) 1/60)
18.0ms
(* x (* 1/3 x))
7.0ms
(* 1/3 x)

simplify1.3s

Calls
24 calls:
Slowest
219.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
180.0ms
(* (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) (sin y))
175.0ms
(+ (log (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2)) (log (sin y)))
148.0ms
(* (* (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2)) (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2)) (* (* (sin y) (sin y)) (sin y)))
134.0ms
(+ (* 1/120 (* (pow x 5) (sin y))) (* 1/6 (* (pow x 3) (sin y))))

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.5b
(* (cbrt (sin y)) (cbrt (sin y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series568.0ms

Calls
4 calls:
Slowest
154.0ms
(cbrt (sin y))
147.0ms
(cbrt (sin y))
138.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
129.0ms
(cbrt (sin y))

simplify694.0ms

Calls
41 calls:
Slowest
177.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
120.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
117.0ms
(- (+ (pow y 2/3) (* 1/405 (pow (pow y 14) 1/3))) (* 1/9 (pow (pow y 8) 1/3)))
109.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
11.0ms
(pow (pow (sin y) 2) 1/3)

prune1.7s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.5b
(* (cbrt (sin y)) (cbrt (sin y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series640.0ms

Calls
4 calls:
Slowest
185.0ms
(cbrt (sin y))
154.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
153.0ms
(cbrt (sin y))
147.0ms
(cbrt (sin y))

simplify669.0ms

Calls
41 calls:
Slowest
149.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
121.0ms
(- (+ (pow y 2/3) (* 1/405 (pow (pow y 14) 1/3))) (* 1/9 (pow (pow y 8) 1/3)))
113.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
100.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
10.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

prune1.7s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes477.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch5.0ms

end0.0ms

sample12.5s

Algorithm
halfpoints
Results