Details

sample418.0ms

Algorithm

halfpoints

Results

simplify2.6s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.3b

localize113.0ms

Local error

Found 4 expressions with local error:

58.2b	(- (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)))

rewrite130.0ms

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

54.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
53.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
12.0ms	(+ (exp x) (exp (- x)))
10.0ms	(- (exp x) (exp (- x)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
72.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
43.0ms	(- (exp x) (exp (- x)))
26.0ms	(+ (exp x) (exp (- x)))

simplify705.0ms

Counts: 115 → 115

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize113.0ms

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))

rewrite163.0ms

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

101.0ms	(* (/ (+ (+ (* 2 x) (* 1/3 (* x (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
32.0ms	(* 1/3 (* x (* x x)))
14.0ms	(* x (* x x))
12.0ms	(* 1/60 (pow x 5))

series317.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(* (/ (+ (+ (* 2 x) (* 1/3 (* x (* x x)))) (* 1/60 (pow x 5))) 2) (sin y))
77.0ms	(* 1/60 (pow x 5))
68.0ms	(* x (* x x))
56.0ms	(* 1/3 (* x (* x x)))

simplify2.8s

Counts: 118 → 118

prune2.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize118.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (sqrt 2))
0.5b	(/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt 2))
0.3b	(* (/ 1 (sqrt 2)) (* (/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt 2)) (sin y)))
0.2b	(* (/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt 2)) (sin y))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

134×	`*-un-lft-identity`
98×	`times-frac`
77×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
56×	`associate-l`
55×	`sqrt-prod`
54×	`add-exp-log`
39×	`distribute-lft-out`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv` `associate-/l*`
6×	`associate-/l/`
5×	`flip3-+` `flip-+`
4×	`rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `frac-add` `insert-posit16` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-*r/` `inv-pow`

Counts

4 → 216

Calls

4 calls:

Slowest

514.0ms	(/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt 2))
466.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt 2)) (sin y)))
462.0ms	(* (/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt 2)) (sin y))
5.0ms	(/ 1 (sqrt 2))

series653.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

245.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt 2)) (sin y)))
210.0ms	(/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt 2))
198.0ms	(* (/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt 2)) (sin y))
0.0ms	(/ 1 (sqrt 2))

simplify1.5s

Counts: 226 → 226

prune4.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize154.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (sqrt (sqrt 2)))
1.0b	(/ 1 (sqrt 2))
0.3b	(* (/ 1 (sqrt 2)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt (sqrt 2))) (sin y))))
0.3b	(/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt (sqrt 2)))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

239×	`add-exp-log`
132×	`*-un-lft-identity` `prod-exp`
111×	`sqrt-prod`
108×	`times-frac`
82×	`add-sqr-sqrt` `add-cube-cbrt`
75×	`add-cbrt-cube`
71×	`div-exp`
34×	`cbrt-unprod`
30×	`distribute-lft-out`
27×	`rec-exp` `1-exp`
24×	`associate-/r*`
22×	`associate-l`
20×	`cbrt-undiv`
18×	`pow1`
11×	`associate-/l*`
8×	`pow-flip`
7×	`associate-*l/`
6×	`pow-prod-down` `associate-/l/`
5×	`frac-times` `sqrt-pow1` `flip3-+` `associate-*r/` `flip-+`
4×	`frac-add` `insert-posit16` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow1/2`
2×	`inv-pow`
1×	`associate-r` `*-commutative`

Counts

4 → 292

Calls

4 calls:

Slowest

1.2s	(* (/ 1 (sqrt 2)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt (sqrt 2))) (sin y))))
398.0ms	(/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt (sqrt 2)))
22.0ms	(/ 1 (sqrt 2))
6.0ms	(/ 1 (sqrt (sqrt 2)))

series632.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

319.0ms	(/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt (sqrt 2)))
312.0ms	(* (/ 1 (sqrt 2)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (+ (+ (* 1/3 (* x (* x x))) (* 1/60 (* (* x (* x x)) (* x x)))) (+ x x)) (sqrt (sqrt 2))) (sin y))))
0.0ms	(/ 1 (sqrt (sqrt 2)))
0.0ms	(/ 1 (sqrt 2))

simplify2.0s

Counts: 300 → 300

prune7.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes214.0ms

Accuracy

0% (0.8b remaining)

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

bsearch10.0ms

end0.0ms

sample11.8s

Algorithm

halfpoints

Results