Details

sample428.0ms

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin y) (exp x))
0.0b	(/ (- (* (sin y) (exp x)) (/ (sin y) (exp x))) 2)
0.0b	(/ (sin y) (exp x))
42.4b	(- (* (sin y) (exp x)) (/ (sin y) (exp x)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`prod-diff`
10×	`add-cbrt-cube`
8×	`add-exp-log` `div-inv`
7×	`associate-/l*`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `fma-neg` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

14.0ms	(* (sin y) (exp x))
75.0ms	(/ (- (* (sin y) (exp x)) (/ (sin y) (exp x))) 2)
15.0ms	(/ (sin y) (exp x))
22.0ms	(- (* (sin y) (exp x)) (/ (sin y) (exp x)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (sin y) (exp x))
124.0ms	(/ (- (* (sin y) (exp x)) (/ (sin y) (exp x))) 2)
33.0ms	(/ (sin y) (exp x))
106.0ms	(- (* (sin y) (exp x)) (/ (sin y) (exp x)))

simplify2.2s

Counts

130 → 130

Iterations

Iter	Nodes
3	4945
2	1618
1	577
0	224

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 28.0b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune76.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 28.0b

localize103.0ms

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))
58.1b	(- (exp x) (exp (- x)))

rewrite155.0ms

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:

22.0ms	(+ (exp x) (exp (- x)))
56.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
58.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
15.0ms	(- (exp x) (exp (- x)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (exp x) (exp (- x)))
74.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
119.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
47.0ms	(- (exp x) (exp (- x)))

simplify2.7s

Counts

138 → 138

Iterations

Iter	Nodes
3	5433
2	1759
1	582
0	232

prune2.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize159.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

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:

79.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
21.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* (* 1/3 x) x)))) 2) (sin y))
17.0ms	(* (* 1/3 x) x)
6.0ms	(* 1/3 x)

series281.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
137.0ms	(* (/ (fma 1/60 (pow x 5) (* x (+ 2 (* (* 1/3 x) x)))) 2) (sin y))
52.0ms	(* (* 1/3 x) x)
16.0ms	(* 1/3 x)

simplify2.7s

Counts

127 → 127

Iterations

Iter	Nodes
3	6191
2	1764
1	520
0	214

prune2.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	31
1	31
0	24

end0.0ms

sample12.4s

Algorithm: halfpoints