Details

sample449.0ms

Algorithm

halfpoints

Results

simplify704.0ms

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 41.7b

localize72.0ms

Local error

Found 3 expressions with local error:

58.4b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite87.0ms

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

38.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
37.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
11.0ms	(- (exp x) (exp (- x)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

86.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
60.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
42.0ms	(- (exp x) (exp (- x)))

simplify572.0ms

Counts: 104 → 99

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize90.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/3)
0.1b	(* (/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) 2) (sin y))
0.1b	(* (* x x) (* x 1/3))
0.1b	(* (pow x 5) 1/60)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

Slowest

81.0ms	(* (/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) 2) (sin y))
23.0ms	(* (* x x) (* x 1/3))
10.0ms	(* (pow x 5) 1/60)
5.0ms	(* x 1/3)

series216.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

90.0ms	(* (/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) 2) (sin y))
59.0ms	(* (pow x 5) 1/60)
43.0ms	(* (* x x) (* x 1/3))
24.0ms	(* x 1/3)

simplify537.0ms

Counts: 115 → 113

prune2.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize125.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (sqrt 2))
0.4b	(/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2))
0.3b	(* x 1/3)
0.3b	(* (/ 1 (sqrt 2)) (* (/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2)) (sin y)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
51×	`add-sqr-sqrt` `add-exp-log`
49×	`*-un-lft-identity` `add-cube-cbrt`
33×	`sqrt-prod`
31×	`add-cbrt-cube`
25×	`associate-l`
21×	`prod-exp`
13×	`pow1` `div-exp`
12×	`associate-/r*`
11×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`associate-/l*`
4×	`rec-exp` `1-exp` `associate-r` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`associate-*l/` `div-inv` `pow-flip`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

Slowest

116.0ms	(/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2))
85.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2)) (sin y)))
11.0ms	(* x 1/3)
6.0ms	(/ 1 (sqrt 2))

series536.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

315.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2)) (sin y)))
190.0ms	(/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2))
30.0ms	(* x 1/3)
0.0ms	(/ 1 (sqrt 2))

simplify475.0ms

Counts: 209 → 172

prune3.8s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize123.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1/2 (sqrt 2))
0.4b	(/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2))
0.3b	(* x 1/3)
0.3b	(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2)) (sin y)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
52×	`add-sqr-sqrt`
50×	`*-un-lft-identity` `add-cube-cbrt`
33×	`sqrt-prod`
28×	`associate-l`
22×	`cbrt-prod`
19×	`add-exp-log`
16×	`add-cbrt-cube`
12×	`associate-/r*`
11×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
4×	`associate-r` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`
2×	`cbrt-div` `clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`frac-times` `flip3-+` `associate-*r/` `flip-+` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

Slowest

134.0ms	(/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2))
101.0ms	(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2)) (sin y)))
10.0ms	(* x 1/3)
4.0ms	(/ 1/2 (sqrt 2))

series1.1s

Counts

4 → 10

Calls

4 calls:

Slowest

834.0ms	(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2)) (sin y)))
193.0ms	(/ (+ (+ (* 2 x) (* (pow x 5) 1/60)) (* (* x x) (* x 1/3))) (sqrt 2))
25.0ms	(* x 1/3)
0.0ms	(/ 1/2 (sqrt 2))

simplify404.0ms

Counts: 195 → 157

prune3.9s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch6.0ms

end0.0ms

sample12.5s

Algorithm

halfpoints

Results