Details

sample538.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.8b

localize83.0ms

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)))

rewrite144.0ms

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)))
45.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
75.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
12.0ms	(- (exp x) (exp (- x)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (exp x) (exp (- x)))
81.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
100.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
46.0ms	(- (exp x) (exp (- x)))

simplify3.6s

Counts

138 → 138

Iterations

Iter	Nodes
3	5525
2	1754
1	580
0	232

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize87.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-l`
16×	`add-cbrt-cube` `add-exp-log`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow1`
10×	`times-frac`
7×	`associate-r`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`associate-*r/`
1×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `associate-*l/` `flip-+` `fma-udef` `div-inv`

Counts

4 → 93

Calls

4 calls:

0.0ms	(fma 1/60 (pow x 5) (* x (+ 2 (* 1/3 (* x x)))))
15.0ms	(* x (+ 2 (* 1/3 (* x x))))
13.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* 1/3 (* x x))))) 2) (sin y))
14.0ms	(* 1/3 (* x x))

series402.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(fma 1/60 (pow x 5) (* x (+ 2 (* 1/3 (* x x)))))
144.0ms	(* x (+ 2 (* 1/3 (* x x))))
132.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* 1/3 (* x x))))) 2) (sin y))
36.0ms	(* 1/3 (* x x))

simplify4.3s

Counts

105 → 105

Iterations

Iter	Nodes
3	7443
2	1543
1	435
0	167

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize140.0ms

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

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

166×	`pow1`
81×	`pow-prod-up`
45×	`pow-plus`
37×	`add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
21×	`pow2` `pow-sqr`
12×	`add-sqr-sqrt`
10×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `pow3`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 152

Calls

4 calls:

95.0ms	(* (* x x) (* (* x x) x))
29.0ms	(* (* x x) x)
29.0ms	(* (* x x) x)
27.0ms	(* (sin y) (fma (* (* x x) x) 1/3 (fma 1/60 (* (* x x) (* (* x x) x)) (* 2 x))))

series407.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* x x) (* (* x x) x))
71.0ms	(* (* x x) x)
42.0ms	(* (* x x) x)
217.0ms	(* (sin y) (fma (* (* x x) x) 1/3 (fma 1/60 (* (* x x) (* (* x x) x)) (* 2 x))))

simplify1.6s

Counts

164 → 164

Iterations

Iter	Nodes
3	2582
2	800
1	302
0	125

prune1.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize161.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* x x))
0.2b	(* 1/3 (* x x))
0.4b	(* x (sqrt (+ 2 (* 1/3 (* x x)))))
0.4b	(* (* x (sqrt (+ 2 (* 1/3 (* x x))))) (sqrt (+ 2 (* 1/3 (* x x)))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
14×	`sqrt-div` `associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`flip3-+` `sqrt-prod` `flip-+`
4×	`expm1-log1p-u` `frac-times` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`

Counts

4 → 103

Calls

4 calls:

25.0ms	(* 1/3 (* x x))
15.0ms	(* 1/3 (* x x))
19.0ms	(* x (sqrt (+ 2 (* 1/3 (* x x)))))
63.0ms	(* (* x (sqrt (+ 2 (* 1/3 (* x x))))) (sqrt (+ 2 (* 1/3 (* x x)))))

series406.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 1/3 (* x x))
35.0ms	(* 1/3 (* x x))
189.0ms	(* x (sqrt (+ 2 (* 1/3 (* x x)))))
152.0ms	(* (* x (sqrt (+ 2 (* 1/3 (* x x))))) (sqrt (+ 2 (* 1/3 (* x x)))))

simplify3.4s

Counts

115 → 115

Iterations

Iter	Nodes
3	5809
2	1400
1	404
0	148

prune1.5s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	29
1	29
0	23

end0.0ms

sample12.3s

Algorithm: halfpoints