Details

sample442.0ms

Algorithm

halfpoints

Results

simplify3.6s

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.3b

localize113.0ms

Local error

Found 4 expressions with local error:

57.6b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite181.0ms

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

71.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
68.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
20.0ms	(+ (exp x) (exp (- x)))
19.0ms	(- (exp x) (exp (- x)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

102.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
92.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
56.0ms	(- (exp x) (exp (- x)))
45.0ms	(+ (exp x) (exp (- x)))

simplify693.0ms

Counts: 138 → 138

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize140.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* x x) x) 1/3)
0.1b	(* (/ (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))) 2) (sin y))
0.1b	(* (* x x) x)
0.0b	(fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
11×	`prod-exp` `cbrt-unprod`
10×	`times-frac` `pow-prod-down`
9×	`associate-r`
6×	`pow-plus` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`pow2` `pow-sqr`
1×	`cbrt-undiv` `div-exp` `pow3` `associate-*l/` `fma-udef` `div-inv`

Counts

4 → 101

Calls

4 calls:

Slowest

69.0ms	(* (* (* x x) x) 1/3)
25.0ms	(* (* x x) x)
17.0ms	(* (/ (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))) 2) (sin y))
0.0ms	(fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))

series488.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

218.0ms	(fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))
151.0ms	(* (/ (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))) 2) (sin y))
66.0ms	(* (* x x) x)
53.0ms	(* (* (* x x) x) 1/3)

simplify1.6s

Counts: 113 → 113

prune2.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize167.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fma x 2 (fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))) (/ 2 (sin y)))
0.1b	(fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))
0.1b	(* (* x x) (* x x))
0.1b	(/ 2 (sin y))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

115×	`pow1`
84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
36×	`pow-prod-up`
23×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
16×	`associate-/r*`
13×	`pow2`
8×	`prod-exp` `cbrt-unprod`
6×	`div-inv` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 180

Calls

4 calls:

Slowest

48.0ms	(* (* x x) (* x x))
15.0ms	(/ (fma x 2 (fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))) (/ 2 (sin y)))
9.0ms	(/ 2 (sin y))
0.0ms	(fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))

series438.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

189.0ms	(fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))
157.0ms	(/ (fma x 2 (fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))) (/ 2 (sin y)))
72.0ms	(* (* x x) (* x x))
19.0ms	(/ 2 (sin y))

simplify874.0ms

Counts: 192 → 192

prune4.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize187.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (sqrt 2) (/ (sin y) (sqrt 2)))
0.4b	(/ (sin y) (sqrt 2))
0.3b	(/ (fma x 2 (fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))) (/ (sqrt 2) (/ (sin y) (sqrt 2))))
0.1b	(fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

1647×	`times-frac`
786×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
624×	`sqrt-prod`
165×	`associate-/r*`
38×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/l*`
10×	`cbrt-undiv` `div-exp`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`fma-udef`

Counts

4 → 802

Calls

4 calls:

Slowest

22.0ms	(/ (fma x 2 (fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))) (/ (sqrt 2) (/ (sin y) (sqrt 2))))
18.0ms	(/ (sin y) (sqrt 2))
17.0ms	(/ (sqrt 2) (/ (sin y) (sqrt 2)))
1.0ms	(fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))

series617.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

263.0ms	(/ (fma x 2 (fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))) (/ (sqrt 2) (/ (sin y) (sqrt 2))))
160.0ms	(fma 1/3 (* x (* x x)) (* 1/60 (* (* (* x x) (* x x)) x)))
102.0ms	(/ (sin y) (sqrt 2))
91.0ms	(/ (sqrt 2) (/ (sin y) (sqrt 2)))

simplify2.2s

Counts: 814 → 814

prune19.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (0.3b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.8b

bsearch10.0ms

end0.0ms

sample12.4s

Algorithm

halfpoints

Results