Details

Time bar (total: 30.9s)

sample440.0ms

Algorithm
halfpoints
Results

simplify188.0ms

Calls
1 calls:
Slowest
188.0ms
(im (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.4b

localize106.0ms

Local error

Found 2 expressions with local error:

58.3b
(- (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×insert-posit16
1×sub-neg flip3-- diff-log pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- difference-of-squares
Calls
2 calls:
Slowest
24.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
8.0ms
(- (exp x) (exp (- x)))

series171.0ms

Calls
2 calls:
Slowest
114.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.0ms
(- (exp x) (exp (- x)))

simplify1.7s

Calls
20 calls:
Slowest
650.0ms
(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
195.0ms
(* 1/2 (* (- (exp x) (exp (- x))) (sin y)))
153.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
135.0ms
(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))
107.0ms
(+ (log (/ (- (exp x) (exp (- x))) 2)) (log (sin y)))

prune658.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

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)

rewrite16.0ms

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
12.0ms
(* (/ (+ (* (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)

series187.0ms

Calls
4 calls:
Slowest
90.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
53.0ms
(* (pow x 5) 1/60)
29.0ms
(* x (* 1/3 x))
16.0ms
(* 1/3 x)

simplify1.2s

Calls
24 calls:
Slowest
198.0ms
(* (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) (sin y))
184.0ms
(* (* (* (/ (+ (* (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)))
160.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
121.0ms
(+ (* 1/120 (* (pow x 5) (sin y))) (* 1/6 (* (pow x 3) (sin y))))
107.0ms
(+ (log (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2)) (log (sin y)))

prune977.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

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))

series518.0ms

Calls
4 calls:
Slowest
144.0ms
(cbrt (sin y))
135.0ms
(cbrt (sin y))
124.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
115.0ms
(cbrt (sin y))

simplify631.0ms

Calls
41 calls:
Slowest
136.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
129.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
99.0ms
(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
95.0ms
(- (+ (pow y 2/3) (* 1/405 (pow (pow y 14) 1/3))) (* 1/9 (pow (pow y 8) 1/3)))
7.0ms
(cbrt (cbrt (sin y)))

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

15.8b
(cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))
15.8b
(cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))
15.8b
(cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))
0.5b
(* (cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))) (cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
8×associate-*l/
7×cbrt-div pow1/3
6×add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
5×cbrt-prod
4×add-cbrt-cube associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 frac-times pow-plus 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) (sin y))) (cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))))
4.0ms
(cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))
4.0ms
(cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))
4.0ms
(cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))

series1.2s

Calls
4 calls:
Slowest
368.0ms
(* (cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))) (cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))))
293.0ms
(cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))
271.0ms
(cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))
243.0ms
(cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))

simplify7.1s

Calls
38 calls:
Slowest
446.0ms
(+ (* (exp (* 1/3 (- (log (* 1/3600 (pow (sin y) 2))) (* 10 (log (/ -1 x)))))) (pow (cbrt -1/2) 2)) (* 40/3 (/ (* (exp (* 1/3 (- (log (* 1/3600 (pow (sin y) 2))) (* 10 (log (/ -1 x)))))) (pow (cbrt -1/2) 2)) (pow x 2))))
385.0ms
(+ (* (pow (cbrt 1/2) 2) (exp (* 1/3 (- (log (* 1/3600 (pow (sin y) 2))) (* 10 (log (/ 1 x))))))) (* 40/3 (/ (* (pow (cbrt 1/2) 2) (exp (* 1/3 (- (log (* 1/3600 (pow (sin y) 2))) (* 10 (log (/ 1 x))))))) (pow x 2))))
294.0ms
(cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))
277.0ms
(cbrt (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))
261.0ms
(* (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)) (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y)))

prune1.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch11.0ms

end0.0ms

sample12.4s

Algorithm
halfpoints
Results