Details

Time bar (total: 32.1s)

sample383.0ms

Algorithm
halfpoints
Results

simplify164.0ms

Calls
1 calls:
Slowest
164.0ms
(im (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 46.5b

localize82.0ms

Local error

Found 3 expressions with local error:

57.6b
(- (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b
(+ (exp x) (exp (- x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
7×add-sqr-sqrt add-log-exp
5×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
4×associate-*l*
3×associate-*r* insert-posit16
1×+-commutative sum-log sub-neg flip3-+ flip3-- diff-log pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod flip-+ div-inv flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Calls
3 calls:
Slowest
29.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
11.0ms
(- (exp x) (exp (- x)))
9.0ms
(+ (exp x) (exp (- x)))

series162.0ms

Calls
3 calls:
Slowest
92.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
43.0ms
(- (exp x) (exp (- x)))
27.0ms
(+ (exp x) (exp (- x)))

simplify1.8s

Calls
25 calls:
Slowest
658.0ms
(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
199.0ms
(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))
198.0ms
(* 1/2 (* (- (exp x) (exp (- x))) (sin y)))
159.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
100.0ms
(+ (log (/ (- (exp x) (exp (- x))) 2)) (log (sin y)))

prune787.0ms

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

rewrite13.0ms

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
9.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
2.0ms
(* (pow x 5) 1/60)
1.0ms
(* x (* 1/3 x))
0.0ms
(* 1/3 x)

series107.0ms

Calls
4 calls:
Slowest
63.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
19.0ms
(* (pow x 5) 1/60)
17.0ms
(* x (* 1/3 x))
7.0ms
(* 1/3 x)

simplify1.6s

Calls
24 calls:
Slowest
514.0ms
(* (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) (sin y))
153.0ms
(+ (* 1/120 (* (pow x 5) (sin y))) (* 1/6 (* (pow x 3) (sin y))))
150.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
140.0ms
(+ (* 1/120 (* (pow x 5) (sin y))) (* 1/6 (* (pow x 3) (sin y))))
140.0ms
(* (* (* (/ (+ (* (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)))

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite15.0ms

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
10.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series629.0ms

Calls
4 calls:
Slowest
169.0ms
(cbrt (sin y))
168.0ms
(cbrt (sin y))
154.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
137.0ms
(cbrt (sin y))

simplify723.0ms

Calls
41 calls:
Slowest
172.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
145.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
118.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
91.0ms
(- (+ (pow y 2/3) (* 1/405 (pow (pow y 14) 1/3))) (* 1/9 (pow (pow y 8) 1/3)))
11.0ms
(pow (pow (sin y) 2) 1/3)

prune1.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2))
0.6b
(cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2))
0.6b
(cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2))
0.6b
(* (cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2)) (cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×cbrt-div pow1/3 associate-*r* associate-*l*
6×add-exp-log
5×div-inv
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
12.0ms
(* (cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2)) (cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2)))
2.0ms
(cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2))
2.0ms
(cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2))
2.0ms
(cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2))

series741.0ms

Calls
4 calls:
Slowest
212.0ms
(* (cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2)) (cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2)))
212.0ms
(cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2))
169.0ms
(cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2))
149.0ms
(cbrt (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2))

simplify7.4s

Calls
53 calls:
Slowest
432.0ms
(- (+ (* 1/18 (* (cbrt 1/2) (* (pow x 2) (exp (* 1/3 (+ (log 2) (log x))))))) (* (cbrt 1/2) (exp (* 1/3 (+ (log 2) (log x)))))) (* 1/3240 (* (cbrt 1/2) (* (pow x 4) (exp (* 1/3 (+ (log 2) (log x))))))))
409.0ms
(+ (* (exp (* 1/3 (- (log 1/3600) (* 10 (log (/ -1 x)))))) (pow (cbrt -1/2) 2)) (+ (* 40/3 (/ (* (exp (* 1/3 (- (log 1/3600) (* 10 (log (/ -1 x)))))) (pow (cbrt -1/2) 2)) (pow x 2))) (* 320/9 (/ (* (exp (* 1/3 (- (log 1/3600) (* 10 (log (/ -1 x)))))) (pow (cbrt -1/2) 2)) (pow x 4)))))
395.0ms
(+ (* (pow (cbrt 1/2) 2) (exp (* 1/3 (- (log 1/3600) (* 10 (log (/ 1 x))))))) (+ (* 320/9 (/ (* (pow (cbrt 1/2) 2) (exp (* 1/3 (- (log 1/3600) (* 10 (log (/ 1 x))))))) (pow x 4))) (* 40/3 (/ (* (pow (cbrt 1/2) 2) (exp (* 1/3 (- (log 1/3600) (* 10 (log (/ 1 x))))))) (pow x 2)))))
356.0ms
(- (+ (* 1/18 (* (cbrt 1/2) (* (pow x 2) (exp (* 1/3 (+ (log 2) (log x))))))) (* (cbrt 1/2) (exp (* 1/3 (+ (log 2) (log x)))))) (* 1/3240 (* (cbrt 1/2) (* (pow x 4) (exp (* 1/3 (+ (log 2) (log x))))))))
350.0ms
(- (+ (* 20/3 (/ (* (exp (* 1/3 (- (log 1/60) (* 5 (log (/ -1 x)))))) (cbrt -1/2)) (pow x 2))) (* (exp (* 1/3 (- (log 1/60) (* 5 (log (/ -1 x)))))) (cbrt -1/2))) (* 40/9 (/ (* (exp (* 1/3 (- (log 1/60) (* 5 (log (/ -1 x)))))) (cbrt -1/2)) (pow x 4))))

prune2.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch5.0ms

end0.0ms

sample12.2s

Algorithm
halfpoints
Results