Details

sample551.0ms

Algorithm: halfpoints

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	991
5	235
4	118
3	83
2	48
1	30
0	16

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.8b

localize72.0ms

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)))

rewrite75.0ms

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:

9.0ms	(+ (exp x) (exp (- x)))
52.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
12.0ms	(- (exp x) (exp (- x)))

series244.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (exp x) (exp (- x)))
129.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
70.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1459
1	353
0	139

prune539.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize110.0ms

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))

rewrite65.0ms

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:

15.0ms	(* x (+ 2 (* 1/3 (* x x))))
9.0ms	(* (pow x 5) 1/60)
25.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) 2.0) (sin y))
13.0ms	(* 1/3 (* x x))

series382.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* x (+ 2 (* 1/3 (* x x))))
86.0ms	(* (pow x 5) 1/60)
135.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* 1/3 (* x x))))) 2.0) (sin y))
33.0ms	(* 1/3 (* x x))

simplify2.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	3070
1	546
0	193

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
22×	`associate-l`
21×	`add-exp-log`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
14×	`associate-r`
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`
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:

23.0ms	(* x (+ 2 (* 1/3 (* x x))))
17.0ms	(* 1/60 (pow x 5))
40.0ms	(* (/ (+ (* 1/60 (pow x 5)) (* x (+ 2 (* 1/3 (* x x))))) 2.0) (sin y))
12.0ms	(* 1/3 (* x x))

series348.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (+ 2 (* 1/3 (* x x))))
93.0ms	(* 1/60 (pow x 5))
125.0ms	(* (/ (+ (* 1/60 (pow x 5)) (* x (+ 2 (* 1/3 (* x x))))) 2.0) (sin y))
37.0ms	(* 1/3 (* x x))

simplify1.9s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	3032
1	551
0	195

prune971.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize141.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* x x))
0.2b	(* 1/3 (* x x))
0.4b	(* x (sqrt (+ 2 (* 1/3 (* x x)))))
0.5b	(* (* x (sqrt (+ 2 (* 1/3 (* x x))))) (sqrt (+ 2 (* 1/3 (* x x)))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
14×	`sqrt-div` `associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`flip3-+` `sqrt-prod` `flip-+`
4×	`frac-times` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`

Counts

4 → 91

Calls

4 calls:

14.0ms	(* 1/3 (* x x))
16.0ms	(* 1/3 (* x x))
16.0ms	(* x (sqrt (+ 2 (* 1/3 (* x x)))))
45.0ms	(* (* x (sqrt (+ 2 (* 1/3 (* x x))))) (sqrt (+ 2 (* 1/3 (* x x)))))

series382.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* 1/3 (* x x))
33.0ms	(* 1/3 (* x x))
156.0ms	(* x (sqrt (+ 2 (* 1/3 (* x x)))))
157.0ms	(* (* x (sqrt (+ 2 (* 1/3 (* x x))))) (sqrt (+ 2 (* 1/3 (* x x)))))

simplify2.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5004
2	2597
1	407
0	139

prune907.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes266.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample13.3s

Algorithm: halfpoints