Details

sample996.0ms

Algorithm: halfpoints

simplify1.8s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 40.7b

localize77.0ms

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))
57.6b	(- (exp x) (exp (- x)))

rewrite119.0ms

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:

21.0ms	(+ (exp x) (exp (- x)))
39.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
42.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
13.0ms	(- (exp x) (exp (- x)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (exp x) (exp (- x)))
87.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
131.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
69.0ms	(- (exp x) (exp (- x)))

simplify2.7s

Counts

138 → 138

Iterations

Iter	Nodes
3	5433
2	1759
1	582
0	232

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize166.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
33×	`associate-l`
30×	`*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`times-frac`
21×	`add-cbrt-cube` `add-exp-log`
15×	`pow1`
12×	`associate-r`
8×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
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 → 115

Calls

4 calls:

47.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
13.0ms	(* (* 1/3 x) x)
27.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* (* 1/3 x) x)))) 2) (sin y))
13.0ms	(* 1/3 x)

series315.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
36.0ms	(* (* 1/3 x) x)
157.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* (* 1/3 x) x)))) 2) (sin y))
28.0ms	(* 1/3 x)

simplify3.3s

Counts

127 → 127

Iterations

Iter	Nodes
3	6623
2	1820
1	520
0	214

prune2.5s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize153.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
72×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
65×	`add-cube-cbrt`
19×	`associate-l`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
8×	`pow1`
7×	`div-inv`
6×	`associate-r` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `associate-/r/`

Counts

4 → 164

Calls

4 calls:

6.0ms	(* x (fma (* x x) 1/3 2))
48.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
4.0ms	(/ 2 (sin y))
7.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* x x) 1/3 2))) (/ 2 (sin y)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* x (fma (* x x) 1/3 2))
93.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
16.0ms	(/ 2 (sin y))
105.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* x x) 1/3 2))) (/ 2 (sin y)))

simplify1.2s

Counts

176 → 176

Iterations

Iter	Nodes
2	2187
1	711
0	302

prune3.8s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.3b	(/ (/ (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))) (sqrt 2)) (/ (sqrt 2) (sin y)))
0.4b	(/ (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))) (sqrt 2))
0.4b	(/ (sqrt 2) (sin y))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

1361×	`times-frac`
647×	`*-un-lft-identity`
646×	`add-sqr-sqrt`
641×	`add-cube-cbrt`
438×	`sqrt-prod`
50×	`div-inv`
31×	`associate-/r` `associate-/l`
25×	`add-cbrt-cube` `add-exp-log`
16×	`associate-l`
11×	`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` `distribute-lft-out`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`

Counts

4 → 673

Calls

4 calls:

47.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
24.0ms	(/ (/ (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))) (sqrt 2)) (/ (sqrt 2) (sin y)))
5.0ms	(/ (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))) (sqrt 2))
6.0ms	(/ (sqrt 2) (sin y))

series686.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
343.0ms	(/ (/ (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))) (sqrt 2)) (/ (sqrt 2) (sin y)))
180.0ms	(/ (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))) (sqrt 2))
77.0ms	(/ (sqrt 2) (sin y))

simplify1.6s

Counts

685 → 685

Iterations

Iter	Nodes
1	3026
0	883

prune16.7s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes338.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	31
1	31
0	24

end0.0ms

sample12.4s

Algorithm: halfpoints