Details

sample238.0ms

Algorithm

halfpoints

Results

simplify278.0ms

Calls

1 calls:

Slowest

277.0ms

(re (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: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (cos y) (exp x))
0.0b	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`pow1` `insert-posit16` `div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `flip-+` `distribute-lft-out`

Calls

2 calls:

Slowest

9.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
7.0ms	(/ (cos y) (exp x))

series146.0ms

Calls

2 calls:

Slowest

102.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
43.0ms	(/ (cos y) (exp x))

simplify782.0ms

Calls

34 calls:

Slowest

239.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
123.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
59.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
37.0ms	(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
33.0ms	(- (+ (pow x 2) 2) (pow y 2))

prune439.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (exp x))
0.0b	(* (cos y) (+ (/ 1 (exp x)) (exp x)))
0.0b	(+ (/ 1 (exp x)) (exp x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
5×	`add-cbrt-cube` `associate-r` `add-exp-log` `add-log-exp`
4×	`distribute-lft-out`
3×	`associate-/r` `associate-l*` `insert-posit16` `div-inv`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow`

Calls

3 calls:

Slowest

20.0ms	(* (cos y) (+ (/ 1 (exp x)) (exp x)))
10.0ms	(+ (/ 1 (exp x)) (exp x))
1.0ms	(/ 1 (exp x))

series111.0ms

Calls

3 calls:

Slowest

60.0ms	(* (cos y) (+ (/ 1 (exp x)) (exp x)))
42.0ms	(+ (/ 1 (exp x)) (exp x))
9.0ms	(/ 1 (exp x))

simplify955.0ms

Calls

30 calls:

Slowest

167.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (+ (/ 1 (exp x)) (exp x)) (+ (/ 1 (exp x)) (exp x))) (+ (/ 1 (exp x)) (exp x))))
143.0ms	(+ (* (/ 1 (exp x)) (/ 1 (exp x))) (- (* (exp x) (exp x)) (* (/ 1 (exp x)) (exp x))))
97.0ms	(- (+ (* 1/2 (pow x 2)) 1) x)
80.0ms	(* (cos y) (+ (/ 1 (exp x)) (exp x)))
80.0ms	(* (+ (exp x) (/ 1 (exp x))) (cos y))

prune567.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (exp x))
0.0b	(+ (* (/ 1 (exp x)) (cos y)) (* (exp x) (cos y)))
0.0b	(* (/ 1 (exp x)) (cos y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
5×	`add-cbrt-cube` `add-log-exp`
4×	`associate-l`
3×	`associate-/r` `associate-r*` `insert-posit16`
2×	`rec-exp` `prod-exp` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `distribute-rgt-out` `pow-prod-down` `associate-l/` `-commutative` `cbrt-unprod` `flip-+` `pow-flip` `inv-pow`

Calls

3 calls:

Slowest

15.0ms	(+ (* (/ 1 (exp x)) (cos y)) (* (exp x) (cos y)))
9.0ms	(* (/ 1 (exp x)) (cos y))
2.0ms	(/ 1 (exp x))

series140.0ms

Calls

3 calls:

Slowest

83.0ms	(+ (* (/ 1 (exp x)) (cos y)) (* (exp x) (cos y)))
44.0ms	(* (/ 1 (exp x)) (cos y))
14.0ms	(/ 1 (exp x))

simplify917.0ms

Calls

26 calls:

Slowest

496.0ms	(* (* (* (/ 1 (exp x)) (/ 1 (exp x))) (/ 1 (exp x))) (* (* (cos y) (cos y)) (cos y)))
116.0ms	(* (exp (* (/ 1 (exp x)) (cos y))) (exp (* (exp x) (cos y))))
73.0ms	(- (+ (* 1/2 (pow x 2)) 1) x)
50.0ms	(- (+ (* 1/2 (pow x 2)) 1) x)
32.0ms	(- (+ (pow x 2) 2) (pow y 2))

prune525.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample4.7s

Algorithm

halfpoints

Results