Details

sample459.0ms

Algorithm: halfpoints

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
8	2000
7	1201
6	423
5	176
4	113
3	80
2	48
1	30
0	16

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.5b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
57.4b	(- (exp x) (exp (- x)))

rewrite136.0ms

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:

18.0ms	(+ (exp x) (exp (- x)))
61.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
41.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
14.0ms	(- (exp x) (exp (- x)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (exp x) (exp (- x)))
91.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
105.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
52.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts

115 → 115

Iterations

Iter	Nodes
done	2024
3	2024
2	1811
1	516
0	200

prune828.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize150.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* x (* (* x x) 1/3))
0.1b	(* (/ (+ (+ (+ x x) (* x (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2) (sin y))
0.2b	(* (* x x) 1/3)

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `add-exp-log`
25×	`add-cbrt-cube`
20×	`pow1` `associate-l`
17×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-r` `prod-exp`
12×	`cbrt-unprod`
10×	`times-frac` `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:

9.0ms	(* 1/60 (pow x 5))
38.0ms	(* x (* (* x x) 1/3))
229.0ms	(* (/ (+ (+ (+ x x) (* x (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2) (sin y))
35.0ms	(* (* x x) 1/3)

series286.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* 1/60 (pow x 5))
58.0ms	(* x (* (* x x) 1/3))
129.0ms	(* (/ (+ (+ (+ x x) (* x (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2) (sin y))
28.0ms	(* (* x x) 1/3)

simplify1.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	2001
3	2001
2	1407
1	439
0	182

prune876.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize175.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60)) (/ (sqrt 2) (sin y)))
0.4b	(* (/ 1 (sqrt 2)) (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60)) (/ (sqrt 2) (sin y))))
0.5b	(/ (sqrt 2) (sin y))
1.0b	(/ 1 (sqrt 2))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

353×	`times-frac`
257×	`add-sqr-sqrt`
192×	`*-un-lft-identity`
184×	`add-cube-cbrt`
109×	`sqrt-prod`
71×	`associate-r`
54×	`add-exp-log`
34×	`add-cbrt-cube`
31×	`associate-/r*`
24×	`div-exp`
22×	`associate-l`
20×	`unswap-sqr`
14×	`cbrt-undiv`
12×	`prod-exp` `div-inv` `associate-/l*`
8×	`pow1`
6×	`cbrt-unprod`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-flip`
2×	`associate-/r/` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 339

Calls

4 calls:

44.0ms	(/ (+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60)) (/ (sqrt 2) (sin y)))
62.0ms	(* (/ 1 (sqrt 2)) (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60)) (/ (sqrt 2) (sin y))))
5.0ms	(/ (sqrt 2) (sin y))
5.0ms	(/ 1 (sqrt 2))

series536.0ms

Counts

4 → 10

Calls

4 calls:

202.0ms	(/ (+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60)) (/ (sqrt 2) (sin y)))
281.0ms	(* (/ 1 (sqrt 2)) (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60)) (/ (sqrt 2) (sin y))))
52.0ms	(/ (sqrt 2) (sin y))
0.0ms	(/ 1 (sqrt 2))

simplify1.5s

Counts

349 → 349

Iterations

Iter	Nodes
done	2000
2	2000
1	1401
0	439

prune2.8s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize128.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow x 5) 1/60)
0.1b	(/ 2 (sin y))
0.2b	(* 1/3 (* x x))
0.2b	(/ (+ (* (pow x 5) 1/60) (* (+ 2 (* 1/3 (* x x))) x)) (/ 2 (sin y)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
64×	`add-sqr-sqrt`
58×	`*-un-lft-identity` `add-cube-cbrt`
21×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`associate-/r*`
10×	`associate-l`
9×	`pow1`
6×	`prod-exp` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `unpow-prod-down` `div-exp` `associate-r` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down`
2×	`clear-num` `frac-2neg` `*-commutative` `sqr-pow` `associate-/l/`
1×	`pow-to-exp` `flip3-+` `pow-exp` `associate-/r/` `flip-+`

Counts

4 → 147

Calls

4 calls:

16.0ms	(* (pow x 5) 1/60)
9.0ms	(/ 2 (sin y))
16.0ms	(* 1/3 (* x x))
39.0ms	(/ (+ (* (pow x 5) 1/60) (* (+ 2 (* 1/3 (* x x))) x)) (/ 2 (sin y)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (pow x 5) 1/60)
29.0ms	(/ 2 (sin y))
46.0ms	(* 1/3 (* x x))
144.0ms	(/ (+ (* (pow x 5) 1/60) (* (+ 2 (* 1/3 (* x x))) x)) (/ 2 (sin y)))

simplify1.1s

Counts

159 → 159

Iterations

Iter	Nodes
done	2000
2	2000
1	672
0	265

prune1.3s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes220.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample12.2s

Algorithm: halfpoints