Details

sample382.0ms

Algorithm: halfpoints

simplify766.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2044
7	1410
6	468
5	192
4	123
3	80
2	48
1	30
0	16

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.4b

localize69.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.4b	(- (exp x) (exp (- x)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
9×	`prod-diff`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
5×	`pow1`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `fma-def` `fma-neg` `associate-r` `insert-posit16` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv` `flip--` `distribute-lft-out`

Counts

3 → 88

Calls

3 calls:

14.0ms	(+ (exp x) (exp (- x)))
46.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
20.0ms	(- (exp x) (exp (- x)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (exp x) (exp (- x)))
109.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
54.0ms	(- (exp x) (exp (- x)))

simplify767.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2002
2	1255
1	417
0	169

prune545.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize91.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
21×	`add-sqr-sqrt`
19×	`associate-l`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`prod-exp` `cbrt-unprod`
10×	`times-frac` `pow-prod-down`
6×	`add-log-exp`
5×	`associate-r` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `*-commutative` `unswap-sqr`
1×	`pow2` `cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `pow-plus` `cube-unmult` `div-exp` `associate-*l/` `pow-sqr` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

13.0ms	(+ (exp x) (exp (- x)))
28.0ms	(* x (* x x))
56.0ms	(* 1/3 (* x (* x x)))
19.0ms	(* (/ (fma x 2 (fma (pow x 5) 1/60 (* 1/3 (* x (* x x))))) 2) (sin y))

series224.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp x) (exp (- x)))
40.0ms	(* x (* x x))
61.0ms	(* 1/3 (* x (* x x)))
98.0ms	(* (/ (fma x 2 (fma (pow x 5) 1/60 (* 1/3 (* x (* x x))))) 2) (sin y))

simplify643.0ms

Counts

116 → 116

Iterations

Iter	Nodes
done	2004
2	1406
1	433
0	183

prune750.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(/ 2 (sin y))
0.1b	(fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))
0.2b	(/ (fma x 2 (fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))) (/ 2 (sin y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
56×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1`
16×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `associate-/r/` `pow-sqr` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

19.0ms	(* x (* x x))
5.0ms	(/ 2 (sin y))
0.0ms	(fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))
7.0ms	(/ (fma x 2 (fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))) (/ 2 (sin y)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* x (* x x))
15.0ms	(/ 2 (sin y))
137.0ms	(fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))
102.0ms	(/ (fma x 2 (fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))) (/ 2 (sin y)))

simplify909.0ms

Counts

153 → 153

Iterations

Iter	Nodes
done	2002
2	1840
1	540
0	236

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize128.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))
0.3b	(/ (/ (fma 2 x (fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))) (sqrt 2)) (/ (sqrt 2) (sin y)))
0.4b	(/ (sqrt 2) (sin y))
0.4b	(/ (fma 2 x (fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))) (sqrt 2))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

1348×	`times-frac`
632×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
438×	`sqrt-prod`
49×	`div-inv`
31×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`associate-/r/` `fma-udef` `associate-/l/`

Counts

4 → 646

Calls

4 calls:

0.0ms	(fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))
15.0ms	(/ (/ (fma 2 x (fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))) (sqrt 2)) (/ (sqrt 2) (sin y)))
6.0ms	(/ (sqrt 2) (sin y))
5.0ms	(/ (fma 2 x (fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))) (sqrt 2))

series935.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))
530.0ms	(/ (/ (fma 2 x (fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))) (sqrt 2)) (/ (sqrt 2) (sin y)))
52.0ms	(/ (sqrt 2) (sin y))
148.0ms	(/ (fma 2 x (fma (* x (* x x)) 1/3 (* (* (* x x) (* x (* x x))) 1/60))) (sqrt 2))

simplify1.1s

Counts

658 → 658

Iterations

Iter	Nodes
done	2000
0	817

prune5.9s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	29
1	29
0	24

end0.0ms

sample12.2s

Algorithm: halfpoints