Details

sample531.0ms

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.8b

localize92.0ms

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))
58.9b	(- (exp x) (exp (- x)))

rewrite131.0ms

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:

11.0ms	(+ (exp x) (exp (- x)))
37.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
64.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
17.0ms	(- (exp x) (exp (- x)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp x) (exp (- x)))
85.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
107.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
44.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

115 → 115

Iterations

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

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize130.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 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)

rewrite337.0ms

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))
35.0ms	(* x (* (* x x) 1/3))
272.0ms	(* (/ (+ (+ (+ x x) (* x (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2) (sin y))
20.0ms	(* (* x x) 1/3)

series328.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* 1/60 (pow x 5))
71.0ms	(* x (* (* x x) 1/3))
151.0ms	(* (/ (+ (+ (+ x x) (* x (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2) (sin y))
32.0ms	(* (* x x) 1/3)

simplify1.0s

Counts

113 → 113

Iterations

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

prune2.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`associate-l`
19×	`add-exp-log`
16×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
11×	`pow1`
10×	`times-frac`
9×	`associate-r`
8×	`prod-exp`
6×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`associate-+l+` `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:

23.0ms	(+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60))
15.0ms	(* (pow x 5) 1/60)
53.0ms	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60)) 2) (sin y))
21.0ms	(* (* x x) 1/3)

series374.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60))
94.0ms	(* (pow x 5) 1/60)
139.0ms	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60)) 2) (sin y))
59.0ms	(* (* x x) 1/3)

simplify1.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	2002
3	2002
2	1601
1	474
0	183

prune2.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize157.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 1/3)
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))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

215×	`times-frac`
184×	`add-sqr-sqrt`
118×	`*-un-lft-identity`
110×	`add-cube-cbrt`
74×	`associate-r`
73×	`sqrt-prod`
54×	`add-exp-log`
34×	`add-cbrt-cube`
23×	`associate-l`
21×	`div-exp` `unswap-sqr`
15×	`prod-exp`
13×	`pow1`
11×	`cbrt-undiv`
9×	`associate-/r` `cbrt-unprod` `associate-/l`
7×	`div-inv`
4×	`rec-exp` `1-exp` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`pow-flip`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `associate-/r/` `inv-pow`

Counts

4 → 250

Calls

4 calls:

16.0ms	(* (* x x) 1/3)
41.0ms	(* (/ 1 (sqrt 2)) (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60)) (/ (sqrt 2) (sin y))))
12.0ms	(/ (sqrt 2) (sin y))
19.0ms	(/ 1 (sqrt 2))

series412.0ms

Counts

4 → 10

Calls

4 calls:

41.0ms	(* (* x x) 1/3)
304.0ms	(* (/ 1 (sqrt 2)) (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* (pow x 5) 1/60)) (/ (sqrt 2) (sin y))))
66.0ms	(/ (sqrt 2) (sin y))
0.0ms	(/ 1 (sqrt 2))

simplify1.1s

Counts

260 → 260

Iterations

Iter	Nodes
done	2003
2	2003
1	1221
0	384

prune5.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	33
1	33
0	25

end0.0ms

sample12.2s

Algorithm: halfpoints