Details

sample535.0ms

Algorithm

halfpoints

Results

simplify163.0ms

Calls

1 calls:

Slowest

163.0ms

(im (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.7b

localize103.0ms

Local error

Found 3 expressions with local error:

58.1b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite41.0ms

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

20.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
15.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
5.0ms	(- (exp x) (exp (- x)))

series220.0ms

Calls

3 calls:

Slowest

103.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
66.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
52.0ms	(- (exp x) (exp (- x)))

simplify2.9s

Calls

33 calls:

Slowest

731.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
386.0ms	(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
218.0ms	(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))
203.0ms	(* 1/2 (* (- (exp x) (exp (- x))) (sin y)))
145.0ms	(* 1/2 (* (+ (exp x) (exp (- x))) (cos y)))

prune915.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

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

16.0ms	(* (/ (+ (* (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)

series126.0ms

Calls

4 calls:

Slowest

69.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
30.0ms	(* (pow x 5) 1/60)
16.0ms	(* x (* 1/3 x))
11.0ms	(* 1/3 x)

simplify1.4s

Calls

24 calls:

Slowest

204.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
196.0ms	(* (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) (sin y))
155.0ms	(+ (* 1/120 (* (pow x 5) (sin y))) (* 1/6 (* (pow x 3) (sin y))))
154.0ms	(+ (* 1/120 (* (pow x 5) (sin y))) (* 1/6 (* (pow x 3) (sin y))))
149.0ms	(+ (log (/ (+ (* (pow x 5) 1/60) (* x (+ (* x (* 1/3 x)) 2))) 2)) (log (sin y)))

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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)))

rewrite12.0ms

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))

series682.0ms

Calls

4 calls:

Slowest

177.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
176.0ms	(cbrt (sin y))
174.0ms	(cbrt (sin y))
155.0ms	(cbrt (sin y))

simplify683.0ms

Calls

41 calls:

Slowest

157.0ms	(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
119.0ms	(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
116.0ms	(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
105.0ms	(- (+ (pow y 2/3) (* 1/405 (pow (pow y 14) 1/3))) (* 1/9 (pow (pow y 8) 1/3)))
9.0ms	(pow (pow (sin y) 2) 1/3)

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Calls

4 calls:

Slowest

2.0ms	(cbrt (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series649.0ms

Calls

4 calls:

Slowest

173.0ms	(cbrt (cbrt (sin y)))
165.0ms	(cbrt (sin y))
165.0ms	(cbrt (sin y))
146.0ms	(cbrt (sin y))

simplify599.0ms

Calls

27 calls:

Slowest

128.0ms	(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
119.0ms	(- (pow y 1/9) (+ (* 13/29160 (pow (pow y 37) 1/9)) (* 1/54 (pow (pow y 19) 1/9))))
116.0ms	(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
113.0ms	(- (pow y 1/3) (+ (* 1/18 (pow (pow y 7) 1/3)) (* 1/3240 (pow (pow y 13) 1/3))))
8.0ms	(pow (sin y) 1/3)

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (0.7b remaining)

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

bsearch6.0ms

end0.0ms

sample12.6s

Algorithm

halfpoints

Results