Details

sample324.0ms

Algorithm: halfpoints

simplify4.0s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.9b

localize126.0ms

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))
57.8b	(- (exp x) (exp (- x)))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt` `*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
27×	`add-cube-cbrt`
25×	`associate-*l/`
14×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
8×	`pow1` `add-log-exp`
6×	`associate-/r` `associate-r*`
5×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `unswap-sqr` `associate-/l/`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `flip--`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log`

Counts

4 → 126

Calls

4 calls:

11.0ms	(+ (exp x) (exp (- x)))
121.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
102.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
13.0ms	(- (exp x) (exp (- x)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (exp x) (exp (- x)))
71.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
116.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
52.0ms	(- (exp x) (exp (- x)))

simplify1.9s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	2186
1	611
0	224

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize129.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.9s

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
58×	`associate-l`
53×	`add-sqr-sqrt`
29×	`associate-r` `add-cube-cbrt`
22×	`times-frac`
21×	`add-exp-log`
18×	`add-cbrt-cube` `distribute-lft-out`
15×	`pow1` `associate-*l/`
13×	`unswap-sqr`
9×	`prod-exp`
7×	`cbrt-unprod` `associate-/l*`
6×	`pow-prod-down` `*-commutative`
4×	`unpow-prod-down` `swap-sqr` `insert-posit16` `add-log-exp`
3×	`associate-/r*`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `sqr-pow` `associate-/l/`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-exp` `div-inv`

Counts

4 → 151

Calls

4 calls:

387.0ms	(* x (+ (* 1/3 (* x x)) 2))
17.0ms	(* (pow x 5) 1/60)
5.4s	(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) 2) (sin y))
46.0ms	(* 1/3 (* x x))

series455.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* x (+ (* 1/3 (* x x)) 2))
97.0ms	(* (pow x 5) 1/60)
142.0ms	(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) 2) (sin y))
52.0ms	(* 1/3 (* x x))

simplify1.9s

Counts

163 → 163

Iterations

Iter	Nodes
done	5008
2	2356
1	666
0	232

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize114.0ms

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))

rewrite4.4s

Algorithm

rewrite-expression-head

Rules

205×	`*-un-lft-identity`
202×	`associate-l`
104×	`distribute-lft-out`
96×	`add-sqr-sqrt`
52×	`times-frac`
45×	`associate-r` `add-cube-cbrt`
31×	`unswap-sqr`
28×	`add-exp-log`
25×	`add-cbrt-cube` `associate-*l/`
22×	`pow1`
17×	`associate-/l*`
14×	`prod-exp`
12×	`cbrt-unprod`
11×	`pow-prod-down`
10×	`*-commutative`
9×	`swap-sqr`
4×	`unpow-prod-down` `insert-posit16` `add-log-exp`
3×	`associate-/r*`
2×	`sqr-pow` `associate-/l/`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv`

Counts

4 → 219

Calls

4 calls:

30.0ms	(* (pow x 5) 1/60)
145.0ms	(* (* 1/3 (* x x)) x)
4.2s	(* (/ (+ (* (pow x 5) 1/60) (+ (* 2 x) (* (* 1/3 (* x x)) x))) 2) (sin y))
31.0ms	(* 1/3 (* x x))

series312.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (pow x 5) 1/60)
76.0ms	(* (* 1/3 (* x x)) x)
123.0ms	(* (/ (+ (* (pow x 5) 1/60) (+ (* 2 x) (* (* 1/3 (* x x)) x))) 2) (sin y))
34.0ms	(* 1/3 (* x x))

simplify1.9s

Counts

231 → 231

Iterations

Iter	Nodes
done	5001
2	2114
1	680
0	238

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize146.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 2 (sin y))
0.1b	(* (* 1/3 x) x)
0.2b	(/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* (* 1/3 x) x)))) (/ 2 (sin y)))
0.4b	(* 1/3 x)

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

202×	`*-un-lft-identity`
172×	`times-frac`
99×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
74×	`associate-l`
56×	`distribute-lft-out`
19×	`associate-/r*`
18×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
11×	`pow1`
10×	`div-inv`
9×	`associate-r` `associate-/r/`
5×	`unswap-sqr`
4×	`cbrt-undiv` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `*-commutative`
2×	`associate-/l/`
1×	`flip3-+` `flip-+`

Counts

4 → 216

Calls

4 calls:

9.0ms	(/ 2 (sin y))
44.0ms	(* (* 1/3 x) x)
1.4s	(/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* (* 1/3 x) x)))) (/ 2 (sin y)))
14.0ms	(* 1/3 x)

series245.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 2 (sin y))
55.0ms	(* (* 1/3 x) x)
133.0ms	(/ (+ (* (pow x 5) 1/60) (* x (+ 2 (* (* 1/3 x) x)))) (/ 2 (sin y)))
30.0ms	(* 1/3 x)

simplify2.2s

Counts

228 → 228

Iterations

Iter	Nodes
done	5001
2	2320
1	673
0	253

prune1.9s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample11.6s

Algorithm: halfpoints