Details

sample523.0ms

Algorithm: halfpoints

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3509
8	2235
7	1201
6	423
5	176
4	113
3	80
2	48
1	30
0	16

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.7b

localize130.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
19×	`associate-l`
16×	`times-frac`
13×	`add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
5×	`pow1`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`associate-r` `insert-posit16`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv` `flip--` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

20.0ms	(+ (exp x) (exp (- x)))
76.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
17.0ms	(- (exp x) (exp (- x)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (exp x) (exp (- x)))
126.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
47.0ms	(- (exp x) (exp (- x)))

simplify2.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5129
3	4350
2	1192
1	349
0	139

prune547.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize132.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
23×	`associate-l`
19×	`add-exp-log`
16×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
11×	`pow1`
10×	`times-frac`
8×	`prod-exp`
7×	`associate-r`
6×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`associate-+r+` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `div-exp` `associate-*l/` `pow-exp` `flip-+` `div-inv`

Counts

4 → 93

Calls

4 calls:

19.0ms	(+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x)))))
22.0ms	(* (pow x 5) 1/60)
50.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) 2) (sin y))
18.0ms	(* 1/3 (* x x))

series372.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x)))))
76.0ms	(* (pow x 5) 1/60)
140.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) 2) (sin y))
53.0ms	(* 1/3 (* x x))

simplify1.7s

Counts

105 → 105

Iterations

Iter	Nodes
done	5003
2	1649
1	466
0	180

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

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

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `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:

22.0ms	(* (pow x 5) 1/60)
76.0ms	(* (* 1/3 (* x x)) x)
122.0ms	(* (/ (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (* 1/3 (* x x)) x)) 2) (sin y))
35.0ms	(* 1/3 (* x x))

series319.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (pow x 5) 1/60)
77.0ms	(* (* 1/3 (* x x)) x)
138.0ms	(* (/ (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (* 1/3 (* x x)) x)) 2) (sin y))
36.0ms	(* 1/3 (* x x))

simplify1.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	1589
1	464
0	179

prune1.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize135.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

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:

13.0ms	(* (pow x 5) 1/60)
5.0ms	(/ 2 (sin y))
28.0ms	(* 1/3 (* x x))
82.0ms	(/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) (/ 2 (sin y)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (pow x 5) 1/60)
30.0ms	(/ 2 (sin y))
40.0ms	(* 1/3 (* x x))
98.0ms	(/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) (/ 2 (sin y)))

simplify2.5s

Counts

159 → 159

Iterations

Iter	Nodes
done	5000
2	2280
1	678
0	265

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes236.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample12.3s

Algorithm: halfpoints