Details

sample458.0ms

Algorithm: halfpoints

simplify2.4s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.1b

localize118.0ms

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))
57.5b	(- (exp x) (exp (- x)))

rewrite199.0ms

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)))
72.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
80.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
26.0ms	(- (exp x) (exp (- x)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (exp x) (exp (- x)))
92.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
129.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
57.0ms	(- (exp x) (exp (- x)))

simplify3.8s

Counts

138 → 138

Iterations

Iter	Nodes
3	5525
2	1754
1	580
0	232

prune2.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize131.0ms

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

rewrite114.0ms

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:

61.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
11.0ms	(* x (+ 2 (* 1/3 (* x x))))
19.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* 1/3 (* x x))))) 2) (sin y))
21.0ms	(* 1/3 (* x x))

series381.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
116.0ms	(* x (+ 2 (* 1/3 (* x x))))
150.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* 1/3 (* x x))))) 2) (sin y))
33.0ms	(* 1/3 (* x x))

simplify739.0ms

Counts

132 → 132

Iterations

Iter	Nodes
2	2153
1	615
0	236

prune2.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize167.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (fma (* 1/3 x) x 2))
0.2b	(/ 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)

rewrite43.0ms

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:

7.0ms	(* x (fma (* 1/3 x) x 2))
9.0ms	(/ 2 (sin y))
14.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ 2 (sin y)))
11.0ms	(* 1/3 x)

series327.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* x (fma (* 1/3 x) x 2))
26.0ms	(/ 2 (sin y))
131.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ 2 (sin y)))
17.0ms	(* 1/3 x)

simplify2.7s

Counts

159 → 159

Iterations

Iter	Nodes
3	5080
2	1486
1	563
0	249

prune3.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize175.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ (sqrt 2) (/ (sin y) (sqrt 2))))
0.3b	(* 1/3 x)
0.4b	(/ (sqrt 2) (/ (sin y) (sqrt 2)))
0.4b	(/ (sin y) (sqrt 2))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

1647×	`times-frac`
790×	`add-sqr-sqrt`
788×	`*-un-lft-identity` `add-cube-cbrt`
624×	`sqrt-prod`
165×	`associate-/r*`
38×	`div-inv`
22×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/l*`
10×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-/r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 812

Calls

4 calls:

29.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ (sqrt 2) (/ (sin y) (sqrt 2))))
8.0ms	(* 1/3 x)
8.0ms	(/ (sqrt 2) (/ (sin y) (sqrt 2)))
9.0ms	(/ (sin y) (sqrt 2))

series479.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* 1/3 x) x 2))) (/ (sqrt 2) (/ (sin y) (sqrt 2))))
18.0ms	(* 1/3 x)
86.0ms	(/ (sqrt 2) (/ (sin y) (sqrt 2)))
78.0ms	(/ (sin y) (sqrt 2))

simplify4.2s

Counts

824 → 824

Iterations

Iter	Nodes
1	2695
0	946

prune20.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes312.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	30
1	30
0	24

end0.0ms

sample12.2s

Algorithm: halfpoints