Details

sample381.0ms

Algorithm: halfpoints

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4994
8	2879
7	1410
6	468
5	192
4	123
3	80
2	48
1	30
0	16

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.6b

localize87.0ms

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))
58.4b	(- (exp x) (exp (- x)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
35×	`associate-l`
31×	`add-cube-cbrt`
29×	`times-frac`
14×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-def` `fma-neg`
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 → 126

Calls

4 calls:

11.0ms	(+ (exp x) (exp (- x)))
49.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
78.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
25.0ms	(- (exp x) (exp (- x)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (exp x) (exp (- x)))
75.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
104.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
54.0ms	(- (exp x) (exp (- x)))

simplify1.9s

Counts

138 → 138

Iterations

Iter	Nodes
done	5003
2	1872
1	582
0	232

prune959.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize125.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* (* 1/3 x) x) 2))
0.1b	(* (/ (fma 1/60 (pow x 5) (* x (+ (* (* 1/3 x) x) 2))) 2) (sin y))
0.2b	(* (* 1/3 x) x)
0.3b	(* 1/3 x)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`associate-l`
18×	`add-cbrt-cube` `add-exp-log`
17×	`*-un-lft-identity` `add-cube-cbrt`
15×	`pow1`
12×	`associate-r`
10×	`times-frac`
7×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-*r/`
1×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `associate-*l/` `flip-+` `div-inv`

Counts

4 → 102

Calls

4 calls:

57.0ms	(* x (+ (* (* 1/3 x) x) 2))
13.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ (* (* 1/3 x) x) 2))) 2) (sin y))
22.0ms	(* (* 1/3 x) x)
5.0ms	(* 1/3 x)

series350.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* x (+ (* (* 1/3 x) x) 2))
163.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ (* (* 1/3 x) x) 2))) 2) (sin y))
37.0ms	(* (* 1/3 x) x)
17.0ms	(* 1/3 x)

simplify1.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1502
1	456
0	173

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow x 5))
0.1b	(/ 2 (sin y))
0.2b	(/ (fma x (fma (* 1/3 x) x 2) (* 1/60 (pow x 5))) (/ 2 (sin y)))
0.3b	(* 1/3 x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
66×	`add-sqr-sqrt`
59×	`*-un-lft-identity` `add-cube-cbrt`
18×	`add-exp-log`
16×	`associate-/r*`
15×	`add-cbrt-cube`
10×	`associate-r`
6×	`pow1` `associate-l` `div-inv` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-undiv` `unpow-prod-down` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative` `cbrt-unprod` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `pow-exp` `associate-/r/`

Counts

4 → 152

Calls

4 calls:

17.0ms	(* 1/60 (pow x 5))
7.0ms	(/ 2 (sin y))
7.0ms	(/ (fma x (fma (* 1/3 x) x 2) (* 1/60 (pow x 5))) (/ 2 (sin y)))
6.0ms	(* 1/3 x)

series276.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* 1/60 (pow x 5))
15.0ms	(/ 2 (sin y))
145.0ms	(/ (fma x (fma (* 1/3 x) x 2) (* 1/60 (pow x 5))) (/ 2 (sin y)))
30.0ms	(* 1/3 x)

simplify1.6s

Counts

164 → 164

Iterations

Iter	Nodes
done	5002
2	1550
1	605
0	260

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize125.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ (fma x (fma x (* 1/3 x) 2) (* 1/60 (pow x 5))) (sqrt 2)) (/ (sqrt 2) (sin y)))
0.3b	(* 1/3 x)
0.4b	(/ (sqrt 2) (sin y))
0.4b	(/ (fma x (fma x (* 1/3 x) 2) (* 1/60 (pow x 5))) (sqrt 2))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

1348×	`times-frac`
636×	`add-sqr-sqrt`
634×	`*-un-lft-identity` `add-cube-cbrt`
438×	`sqrt-prod`
49×	`div-inv`
31×	`associate-/r` `associate-/l`
22×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l`
1×	`pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`

Counts

4 → 656

Calls

4 calls:

19.0ms	(/ (/ (fma x (fma x (* 1/3 x) 2) (* 1/60 (pow x 5))) (sqrt 2)) (/ (sqrt 2) (sin y)))
10.0ms	(* 1/3 x)
10.0ms	(/ (sqrt 2) (sin y))
9.0ms	(/ (fma x (fma x (* 1/3 x) 2) (* 1/60 (pow x 5))) (sqrt 2))

series565.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(/ (/ (fma x (fma x (* 1/3 x) 2) (* 1/60 (pow x 5))) (sqrt 2)) (/ (sqrt 2) (sin y)))
16.0ms	(* 1/3 x)
71.0ms	(/ (sqrt 2) (sin y))
172.0ms	(/ (fma x (fma x (* 1/3 x) 2) (* 1/60 (pow x 5))) (sqrt 2))

simplify3.3s

Counts

668 → 668

Iterations

Iter	Nodes
done	5000
1	2907
0	830

prune6.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	24

end0.0ms

sample11.9s

Algorithm: halfpoints