Details

sample523.0ms

Algorithm: halfpoints

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
8	2293
7	1238
6	470
5	194
4	122
3	78
2	46
1	30
0	16

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.8b

localize120.0ms

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)))

rewrite173.0ms

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)))
58.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
72.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
22.0ms	(- (exp x) (exp (- x)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (exp x) (exp (- x)))
65.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
119.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
61.0ms	(- (exp x) (exp (- x)))

simplify3.7s

Counts

138 → 138

Iterations

Iter	Nodes
3	5525
2	1754
1	580
0	232

prune928.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize121.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

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:

62.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
23.0ms	(* x (+ 2 (* 1/3 (* x x))))
26.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* 1/3 (* x x))))) 2) (sin y))
27.0ms	(* 1/3 (* x x))

series461.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
159.0ms	(* x (+ 2 (* 1/3 (* x x))))
167.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* 1/3 (* x x))))) 2) (sin y))
48.0ms	(* 1/3 (* x x))

simplify752.0ms

Counts

132 → 132

Iterations

Iter	Nodes
2	2153
1	615
0	236

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize159.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.1b	(/ 2 (sin y))
0.2b	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ 2 (sin y)))
0.4b	(* 1/3 x)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
59×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`add-cube-cbrt`
16×	`associate-/r*`
13×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

20.0ms	(+ (exp x) (exp (- x)))
9.0ms	(/ 2 (sin y))
14.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ 2 (sin y)))
23.0ms	(* 1/3 x)

series249.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (exp x) (exp (- x)))
15.0ms	(/ 2 (sin y))
162.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ 2 (sin y)))
27.0ms	(* 1/3 x)

simplify3.0s

Counts

154 → 154

Iterations

Iter	Nodes
3	5438
2	1659
1	606
0	256

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize152.0ms

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

rewrite97.0ms

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×	`expm1-log1p-u` `frac-times` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`

Counts

4 → 103

Calls

4 calls:

15.0ms	(* 1/3 (* x x))
15.0ms	(* 1/3 (* x x))
32.0ms	(* (* x (sqrt (+ 2 (* 1/3 (* x x))))) (sqrt (+ 2 (* 1/3 (* x x)))))
32.0ms	(* x (sqrt (+ 2 (* 1/3 (* x x)))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 1/3 (* x x))
30.0ms	(* 1/3 (* x x))
94.0ms	(* (* x (sqrt (+ 2 (* 1/3 (* x x))))) (sqrt (+ 2 (* 1/3 (* x x)))))
203.0ms	(* x (sqrt (+ 2 (* 1/3 (* x x)))))

simplify2.3s

Counts

115 → 115

Iterations

Iter	Nodes
3	4695
2	1252
1	389
0	148

prune877.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes188.0ms

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
2	30
1	30
0	24

end0.0ms

sample12.1s

Algorithm: halfpoints