Details

sample467.0ms

Algorithm: halfpoints

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	2574
7	1165
6	432
5	178
4	111
3	79
2	48
1	30
0	16

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.8b

localize85.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.8b	(- (exp x) (exp (- x)))

rewrite91.0ms

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`
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 → 64

Calls

3 calls:

15.0ms	(+ (exp x) (exp (- x)))
61.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
11.0ms	(- (exp x) (exp (- x)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (exp x) (exp (- x)))
133.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.0ms	(- (exp x) (exp (- x)))

simplify2.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5003
3	3831
2	1152
1	353
0	139

prune676.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize107.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 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))))) 2.0) (sin y))
0.2b	(* 1/3 (* x x))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`associate-l`
21×	`add-exp-log`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
13×	`pow1`
10×	`times-frac` `associate-r`
9×	`prod-exp`
7×	`cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `associate-*l/` `pow-exp` `flip-+` `div-inv`

Counts

4 → 98

Calls

4 calls:

13.0ms	(* x (+ 2 (* 1/3 (* x x))))
10.0ms	(* (pow x 5) 1/60)
32.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) 2.0) (sin y))
14.0ms	(* 1/3 (* x x))

series356.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* x (+ 2 (* 1/3 (* x x))))
72.0ms	(* (pow x 5) 1/60)
133.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) 2.0) (sin y))
45.0ms	(* 1/3 (* x x))

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5003
2	1996
1	545
0	193

prune972.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize134.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2 (* 1/3 (* x x))))
0.1b	(* (pow x 5) 1/60)
0.1b	(* (sin y) (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) 2.0))
0.2b	(* 1/3 (* x x))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
21×	`add-exp-log`
20×	`associate-r`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
16×	`associate-l`
13×	`pow1`
10×	`times-frac`
9×	`prod-exp`
7×	`cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `add-log-exp`
3×	`associate-*r/`
2×	`sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv`

Counts

4 → 98

Calls

4 calls:

18.0ms	(* x (+ 2 (* 1/3 (* x x))))
13.0ms	(* (pow x 5) 1/60)
41.0ms	(* (sin y) (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) 2.0))
24.0ms	(* 1/3 (* x x))

series536.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* x (+ 2 (* 1/3 (* x x))))
78.0ms	(* (pow x 5) 1/60)
266.0ms	(* (sin y) (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) 2.0))
36.0ms	(* 1/3 (* x x))

simplify2.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	5005
2	2244
1	582
0	198

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize102.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* x x))
0.2b	(* (/ (sin y) (sqrt 2.0)) (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) (sqrt 2.0)))
0.4b	(/ (sin y) (sqrt 2.0))
0.5b	(/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) (sqrt 2.0))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
84×	`times-frac`
61×	`*-un-lft-identity` `add-cube-cbrt`
48×	`sqrt-prod`
25×	`add-cbrt-cube` `associate-l` `add-exp-log`
23×	`associate-r`
12×	`associate-/r*`
11×	`pow1`
10×	`unswap-sqr`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`pow-prod-down` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`frac-times` `flip3-+` `associate-l/` `associate-r/` `flip-+`

Counts

4 → 172

Calls

4 calls:

26.0ms	(* 1/3 (* x x))
70.0ms	(* (/ (sin y) (sqrt 2.0)) (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) (sqrt 2.0)))
8.0ms	(/ (sin y) (sqrt 2.0))
28.0ms	(/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) (sqrt 2.0))

series735.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 1/3 (* x x))
476.0ms	(* (/ (sin y) (sqrt 2.0)) (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) (sqrt 2.0)))
77.0ms	(/ (sin y) (sqrt 2.0))
154.0ms	(/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) (sqrt 2.0))

simplify2.7s

Counts

184 → 184

Iterations

Iter	Nodes
done	5006
2	2929
1	756
0	259

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample12.4s

Algorithm: halfpoints