Details

sample185.0ms

Algorithm

halfpoints

Results

simplify184.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

184.0ms

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `insert-posit16` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

Slowest

42.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
15.0ms	(* (cos y) (exp x))
9.0ms	(/ (cos y) (exp x))

series200.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

109.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
50.0ms	(/ (cos y) (exp x))
42.0ms	(* (cos y) (exp x))

simplify3.8s

Counts

80 → 69

Calls

80 calls:

Slowest

499.0ms	(* (* (+ (/ (cos y) (exp x)) (* (cos y) (exp x))) (+ (/ (cos y) (exp x)) (* (cos y) (exp x)))) (+ (/ (cos y) (exp x)) (* (cos y) (exp x))))
452.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
443.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
309.0ms	(- (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (* (* (cos y) (exp x)) (* (cos y) (exp x))))
248.0ms	(+ (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x)))))

prune763.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 3 expressions with local error:

15.2b	(- (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
22×	`add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`insert-posit16` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 90

Calls

3 calls:

Slowest

69.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
44.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
20.0ms	(- (exp x) (exp (- x)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

98.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
96.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
48.0ms	(- (exp x) (exp (- x)))

simplify12.8s

Counts

104 → 99

Calls

104 calls:

Slowest

1.2s	(* (* (* (/ (- (exp x) (exp (- x))) 2) (sin y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))) (* (/ (- (exp x) (exp (- x))) 2) (sin y)))
788.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
540.0ms	(* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x))))
468.0ms	(* (* (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2) (cos y))) (* (/ (+ (exp x) (exp (- x))) 2) (cos y)))
463.0ms	(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample6.9s

Algorithm

halfpoints

Results