Details

sample498.0ms

Algorithm: halfpoints

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
8	2240
7	1242
6	464
5	192
4	123
3	80
2	48
1	30
0	16

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.2b

localize73.0ms

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)))

rewrite118.0ms

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:

10.0ms	(+ (exp x) (exp (- x)))
40.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
45.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
20.0ms	(- (exp x) (exp (- x)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp x) (exp (- x)))
81.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
100.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify2.8s

Counts

138 → 138

Iterations

Iter	Nodes
3	5433
2	1759
1	582
0	232

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize106.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

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:

24.0ms	(* x (+ 2 (* (* 1/3 x) x)))
39.0ms	(* (* 1/3 x) x)
21.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* (* 1/3 x) x)))) 2) (sin y))
6.0ms	(* 1/3 x)

series331.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* x (+ 2 (* (* 1/3 x) x)))
48.0ms	(* (* 1/3 x) x)
130.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* (* 1/3 x) x)))) 2) (sin y))
30.0ms	(* 1/3 x)

simplify3.5s

Counts

114 → 114

Iterations

Iter	Nodes
3	5974
2	1419
1	429
0	173

prune2.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize159.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube` `add-exp-log`
23×	`add-sqr-sqrt`
22×	`pow1`
18×	`associate-l`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-r` `prod-exp` `cbrt-unprod`
11×	`pow-prod-down`
10×	`times-frac`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 101

Calls

4 calls:

51.0ms	(* (* (* 1/3 x) x) x)
18.0ms	(* (* 1/3 x) x)
23.0ms	(* (/ (fma 1/60 (pow x 5) (+ (* 2 x) (* (* (* 1/3 x) x) x))) 2) (sin y))
13.0ms	(* 1/3 x)

series254.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* (* 1/3 x) x) x)
42.0ms	(* (* 1/3 x) x)
126.0ms	(* (/ (fma 1/60 (pow x 5) (+ (* 2 x) (* (* (* 1/3 x) x) x))) 2) (sin y))
32.0ms	(* 1/3 x)

simplify3.5s

Counts

113 → 113

Iterations

Iter	Nodes
3	5336
2	1320
1	387
0	158

prune2.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize165.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

6.0ms	(* x (fma (* 1/3 x) x 2))
5.0ms	(/ 2 (sin y))
9.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ 2 (sin y)))
13.0ms	(* 1/3 x)

series399.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* x (fma (* 1/3 x) x 2))
29.0ms	(/ 2 (sin y))
162.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ 2 (sin y)))
29.0ms	(* 1/3 x)

simplify2.2s

Counts

159 → 159

Iterations

Iter	Nodes
3	5230
2	1510
1	565
0	249

prune3.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes268.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	33
1	33
0	25

end0.0ms

sample12.8s

Algorithm: halfpoints