Details

sample564.0ms

Algorithm

halfpoints

Results

simplify3.7s

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 41.9b

localize109.0ms

Local error

Found 4 expressions with local error:

57.0b	(- (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))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
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 → 103

Calls

4 calls:

Slowest

64.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
60.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
17.0ms	(- (exp x) (exp (- x)))
14.0ms	(+ (exp x) (exp (- x)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
93.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
58.0ms	(- (exp x) (exp (- x)))
33.0ms	(+ (exp x) (exp (- x)))

simplify661.0ms

Counts: 115 → 115

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize126.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
28×	`add-sqr-sqrt` `add-exp-log`
25×	`add-cbrt-cube`
22×	`associate-l`
17×	`*-un-lft-identity` `add-cube-cbrt`
14×	`prod-exp`
12×	`associate-r` `cbrt-unprod`
10×	`times-frac` `pow-prod-down`
6×	`unswap-sqr`
5×	`pow-prod-up`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow2` `pow-to-exp` `cbrt-undiv` `pow-plus` `cube-unmult` `div-exp` `associate-*l/` `pow-exp` `pow-sqr` `div-inv`

Counts

4 → 106

Calls

4 calls:

Slowest

108.0ms	(* (/ (+ (+ (* 2 x) (* 1/3 (* x (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
38.0ms	(* 1/3 (* x (* x x)))
19.0ms	(* x (* x x))
8.0ms	(* 1/60 (pow x 5))

series332.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(* (/ (+ (+ (* 2 x) (* 1/3 (* x (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
83.0ms	(* 1/60 (pow x 5))
70.0ms	(* x (* x x))
63.0ms	(* 1/3 (* x (* x x)))

simplify2.7s

Counts: 118 → 118

prune2.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize124.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ (* 1/60 (* (* x (* x x)) (* x x))) (+ (* 1/3 (* x (* x x))) (* 2 x))) (/ 2 (sin y)))
0.1b	(* 1/3 (* x (* x x)))
0.1b	(* x (* x x))
0.1b	(* x (* x x))

rewrite744.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
51×	`add-sqr-sqrt`
49×	`*-un-lft-identity` `add-cube-cbrt`
41×	`pow1`
28×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r*`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`pow-prod-up`
9×	`associate-l`
5×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `-commutative` `associate-/l`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `associate-/r/` `flip-+`

Counts

4 → 145

Calls

4 calls:

Slowest

661.0ms	(/ (+ (* 1/60 (* (* x (* x x)) (* x x))) (+ (* 1/3 (* x (* x x))) (* 2 x))) (/ 2 (sin y)))
48.0ms	(* 1/3 (* x (* x x)))
18.0ms	(* x (* x x))
14.0ms	(* x (* x x))

series289.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(/ (+ (* 1/60 (* (* x (* x x)) (* x x))) (+ (* 1/3 (* x (* x x))) (* 2 x))) (/ 2 (sin y)))
66.0ms	(* 1/3 (* x (* x x)))
57.0ms	(* x (* x x))
42.0ms	(* x (* x x))

simplify1.2s

Counts: 157 → 157

prune3.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize158.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ (* (* x x) (+ (* 1/60 (* x (* x x))) (* 1/3 x))) (* 2 x)) (sqrt 2))
0.5b	(/ (sqrt 2) (sin y))
0.3b	(* 1/3 x)
0.3b	(/ (/ (+ (* (* x x) (+ (* 1/60 (* x (* x x))) (* 1/3 x))) (* 2 x)) (sqrt 2)) (/ (sqrt 2) (sin y)))

rewrite431.0ms

Algorithm

rewrite-expression-head

Rules

1348×	`times-frac`
636×	`add-sqr-sqrt`
634×	`*-un-lft-identity` `add-cube-cbrt`
438×	`sqrt-prod`
49×	`div-inv`
31×	`associate-/r` `associate-/l`
22×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 650

Calls

4 calls:

Slowest

202.0ms	(/ (+ (* (* x x) (+ (* 1/60 (* x (* x x))) (* 1/3 x))) (* 2 x)) (sqrt 2))
178.0ms	(/ (/ (+ (* (* x x) (+ (* 1/60 (* x (* x x))) (* 1/3 x))) (* 2 x)) (sqrt 2)) (/ (sqrt 2) (sin y)))
10.0ms	(/ (sqrt 2) (sin y))
9.0ms	(* 1/3 x)

series551.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

239.0ms	(/ (/ (+ (* (* x x) (+ (* 1/60 (* x (* x x))) (* 1/3 x))) (* 2 x)) (sqrt 2)) (/ (sqrt 2) (sin y)))
191.0ms	(/ (+ (* (* x x) (+ (* 1/60 (* x (* x x))) (* 1/3 x))) (* 2 x)) (sqrt 2))
92.0ms	(/ (sqrt 2) (sin y))
28.0ms	(* 1/3 x)

simplify3.0s

Counts: 662 → 662

prune16.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes258.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch10.0ms

end0.0ms

sample12.5s

Algorithm

halfpoints

Results