Details

sample166.0ms

Algorithm

halfpoints

Results

simplify164.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

164.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

18.2b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.0b	(+ (exp x) (exp (- x)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
35×	`associate-l`
31×	`add-cube-cbrt`
29×	`times-frac`
14×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-def` `fma-neg`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 126

Calls

4 calls:

Slowest

43.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
42.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
12.0ms	(- (exp x) (exp (- x)))
11.0ms	(+ (exp x) (exp (- x)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

127.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
75.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
54.0ms	(- (exp x) (exp (- x)))
27.0ms	(+ (exp x) (exp (- x)))

simplify7.0s

Counts

99 → 138

Calls

99 calls:

Slowest

763.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
440.0ms	(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
311.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
286.0ms	(* 1/2 (* (+ (exp (* -1 x)) (exp x)) (cos y)))
237.0ms	(* (/ (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (* (* 2 2) 2)) (* (* (cos y) (cos y)) (cos y)))

prune2.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (cos y) (exp x))
0.0b	(fma (cos y) (exp x) (/ (cos y) (exp x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

Slowest

22.0ms	(/ (cos y) (exp x))
0.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

100.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))
31.0ms	(/ (cos y) (exp x))

simplify908.0ms

Counts

31 → 47

Calls

31 calls:

Slowest

398.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
162.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
73.0ms	(- (+ (pow x 2) 2) (pow y 2))
40.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
28.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (sqrt (exp x)))

prune530.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

18.2b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
0.0b	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2) (cos y))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
32×	`associate-l`
29×	`add-cube-cbrt`
26×	`times-frac`
14×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
8×	`pow1`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-neg`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--`

Counts

4 → 116

Calls

4 calls:

Slowest

53.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
12.0ms	(- (exp x) (exp (- x)))
11.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2) (cos y))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

series411.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
118.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2) (cos y))
95.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
59.0ms	(- (exp x) (exp (- x)))

simplify7.3s

Counts

92 → 128

Calls

92 calls:

Slowest

830.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
364.0ms	(* (* (* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2) (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2)) (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
302.0ms	(* 1/2 (* (+ (exp (* -1 x)) (exp x)) (cos y)))
298.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
243.0ms	(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample6.0s

Algorithm

halfpoints

Results