Details

sample540.0ms

Algorithm: halfpoints

simplify9.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3108
7	1340
6	477
5	194
4	121
3	79
2	48
1	30
0	16

prune55.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.9b

localize149.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.5b	(- (exp x) (exp (- x)))

rewrite307.0ms

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:

18.0ms	(+ (exp x) (exp (- x)))
107.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
118.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
49.0ms	(- (exp x) (exp (- x)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (exp x) (exp (- x)))
121.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
184.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
64.0ms	(- (exp x) (exp (- x)))

simplify4.1s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	1921
1	584
0	235

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize157.0ms

Local error

Found 4 expressions with local error:

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

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
35×	`associate-l`
30×	`*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`times-frac`
21×	`add-cbrt-cube` `add-exp-log`
15×	`pow1`
10×	`associate-r`
8×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `div-inv`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 120

Calls

4 calls:

104.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
105.0ms	(* x (+ (* 1/3 (* x x)) 2))
39.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ (* 1/3 (* x x)) 2))) 2.0) (sin y))
27.0ms	(* 1/3 (* x x))

series516.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
143.0ms	(* x (+ (* 1/3 (* x x)) 2))
197.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ (* 1/3 (* x x)) 2))) 2.0) (sin y))
52.0ms	(* 1/3 (* x x))

simplify3.6s

Counts

132 → 132

Iterations

Iter	Nodes
done	5002
2	2245
1	652
0	240

prune2.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize184.0ms

Local error

Found 4 expressions with local error:

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

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

35×	`associate-l`
34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
28×	`add-cbrt-cube` `add-exp-log`
23×	`times-frac` `add-cube-cbrt`
22×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`pow-prod-down`
8×	`associate-r`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 119

Calls

4 calls:

82.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
73.0ms	(* x (* 1/3 (* x x)))
48.0ms	(* (/ (fma 1/60 (pow x 5) (+ (* x (* 1/3 (* x x))) (* x 2))) 2.0) (sin y))
46.0ms	(* 1/3 (* x x))

series466.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
68.0ms	(* x (* 1/3 (* x x)))
205.0ms	(* (/ (fma 1/60 (pow x 5) (+ (* x (* 1/3 (* x x))) (* x 2))) 2.0) (sin y))
49.0ms	(* 1/3 (* x x))

simplify3.7s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	1923
1	558
0	224

prune2.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize133.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (fma (* 1/3 x) x 2))
0.1b	(/ 2.0 (sin y))
0.2b	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ 2.0 (sin y)))
0.3b	(* 1/3 x)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
62×	`add-sqr-sqrt`
58×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
15×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`

Counts

4 → 147

Calls

4 calls:

18.0ms	(* x (fma (* 1/3 x) x 2))
20.0ms	(/ 2.0 (sin y))
25.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ 2.0 (sin y)))
18.0ms	(* 1/3 x)

series427.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* x (fma (* 1/3 x) x 2))
53.0ms	(/ 2.0 (sin y))
197.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ 2.0 (sin y)))
18.0ms	(* 1/3 x)

simplify3.6s

Counts

159 → 159

Iterations

Iter	Nodes
done	5003
2	1746
1	596
0	253

prune2.3s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

regimes718.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	33
1	33
0	26

end0.0ms

sample13.4s

Algorithm: halfpoints