Details

sample400.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.0b

localize110.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.0b	(- (exp x) (exp (- x)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 108

Calls

3 calls:

66.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
44.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
23.0ms	(- (exp x) (exp (- x)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
109.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
71.0ms	(- (exp x) (exp (- x)))

simplify4.4s

Counts

117 → 117

Iterations

Iter	Nodes
3	5498
2	1753
1	542
0	217

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize140.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

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:

46.0ms	(* x (+ (* 1/3 (* x x)) 2))
68.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
13.0ms	(* (/ (fma (pow x 5) 1/60 (* x (+ (* 1/3 (* x x)) 2))) 2) (sin y))
14.0ms	(* 1/3 (* x x))

series383.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* x (+ (* 1/3 (* x x)) 2))
86.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
132.0ms	(* (/ (fma (pow x 5) 1/60 (* x (+ (* 1/3 (* x x)) 2))) 2) (sin y))
47.0ms	(* 1/3 (* x x))

simplify730.0ms

Counts

132 → 132

Iterations

Iter	Nodes
2	2167
1	619
0	236

prune2.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize155.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

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:

41.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
14.0ms	(* (/ (fma (pow x 5) 1/60 (+ (* x (* 1/3 (* x x))) (* x 2))) 2) (sin y))
37.0ms	(* x (* 1/3 (* x x)))
18.0ms	(* 1/3 (* x x))

series302.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
118.0ms	(* (/ (fma (pow x 5) 1/60 (+ (* x (* 1/3 (* x x))) (* x 2))) 2) (sin y))
49.0ms	(* x (* 1/3 (* x x)))
45.0ms	(* 1/3 (* x x))

simplify6.2s

Counts

131 → 131

Iterations

Iter	Nodes
3	7535
2	1920
1	555
0	221

prune2.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize123.0ms

Local error

Found 4 expressions with local error:

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

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

164×	`pow1`
81×	`pow-prod-up`
75×	`times-frac`
50×	`add-sqr-sqrt`
48×	`*-un-lft-identity` `add-cube-cbrt`
45×	`pow-plus`
40×	`add-cbrt-cube` `add-exp-log`
21×	`pow2` `pow-prod-down` `prod-exp` `pow-sqr` `cbrt-unprod`
13×	`associate-/r*`
7×	`associate-r`
6×	`pow3`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `-commutative` `associate-/l`
2×	`unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/r/`

Counts

4 → 202

Calls

4 calls:

94.0ms	(* (* x x) (* (* x x) x))
32.0ms	(* (* x x) x)
39.0ms	(* (* x x) x)
12.0ms	(/ (sin y) (/ 2 (fma (* (* x x) (* (* x x) x)) 1/60 (fma 1/3 (* (* x x) x) (* 2 x)))))

series342.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* x x) (* (* x x) x))
42.0ms	(* (* x x) x)
37.0ms	(* (* x x) x)
212.0ms	(/ (sin y) (/ 2 (fma (* (* x x) (* (* x x) x)) 1/60 (fma 1/3 (* (* x x) x) (* 2 x)))))

simplify6.5s

Counts

214 → 214

Iterations

Iter	Nodes
3	5737
2	1972
1	584
0	237

prune4.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	32
1	32
0	25

end0.0ms

sample11.8s

Algorithm: halfpoints