Details

sample222.0ms

Algorithm: halfpoints

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	128	11
5	247	11
6	1038	11
done	5000	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.9b	(- (exp x) (exp (- x)))

rewrite249.0ms

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-exp-log` `add-cbrt-cube`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `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` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

4 → 122

Calls

4 calls:

28.0ms	(+ (exp x) (exp (- x)))
76.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
114.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
22.0ms	(- (exp x) (exp (- x)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (exp x) (exp (- x)))
82.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
135.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
48.0ms	(- (exp x) (exp (- x)))

simplify2.1s

Counts

134 → 134

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	232	1903
1	591	1737
2	2783	1490
done	5000	1430

prune639.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.3b	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
0.4b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
19.9b	(- (exp x) (exp (- x)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `prod-diff`
8×	`cbrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `fma-neg` `associate-r` `associate-*l/` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `flip3--` `pow1/3` `diff-log` `*-commutative` `flip--` `rem-cbrt-cube` `div-inv`

Counts

4 → 115

Calls

4 calls:

64.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
10.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
21.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
17.0ms	(- (exp x) (exp (- x)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
98.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
108.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
56.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

127 → 127

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	227	2054
1	600	1790
2	2901	1536
done	5000	1514

prune750.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
0.8b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
19.9b	(- (exp x) (exp (- x)))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
69×	`associate-l`
60×	`times-frac`
50×	`add-cube-cbrt`
44×	`add-exp-log`
35×	`add-cbrt-cube`
25×	`sqrt-prod`
19×	`prod-exp`
14×	`cbrt-unprod`
13×	`pow1`
11×	`div-exp`
9×	`prod-diff`
7×	`cbrt-undiv` `associate-r`
6×	`distribute-lft-out` `add-log-exp`
5×	`pow-prod-down` `associate-*l/` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `flip--`

Counts

4 → 171

Calls

4 calls:

65.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
60.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
137.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
37.0ms	(- (exp x) (exp (- x)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
116.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
87.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
66.0ms	(- (exp x) (exp (- x)))

simplify470.0ms

Counts

183 → 183

Iterations

Useful iterations: done (459.0ms)

Iter	Nodes	Cost
0	312	3581
1	856	3160
done	5000	2461

prune850.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1 (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
0.8b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ 1 (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
1.0b	(/ 1 (sqrt 2.0))
19.9b	(- (exp x) (exp (- x)))

rewrite548.0ms

Algorithm

rewrite-expression-head

Rules

219×	`add-exp-log`
119×	`prod-exp`
92×	`add-cbrt-cube`
68×	`div-exp`
61×	`*-un-lft-identity`
57×	`times-frac`
55×	`add-sqr-sqrt`
53×	`add-cube-cbrt`
47×	`associate-l`
44×	`cbrt-unprod`
33×	`sqrt-prod`
26×	`1-exp`
23×	`cbrt-undiv`
20×	`pow1`
13×	`rec-exp`
10×	`associate-*l/`
9×	`prod-diff` `pow-prod-down`
6×	`frac-times` `associate-r/` `associate-/r` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-flip` `fma-neg` `div-inv` `distribute-lft-out` `associate-/l*`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `clear-num` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 230

Calls

4 calls:

125.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
357.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ 1 (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
14.0ms	(/ 1 (sqrt 2.0))
39.0ms	(- (exp x) (exp (- x)))

series477.0ms

Counts

4 → 10

Calls

4 calls:

221.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
208.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ 1 (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
0.0ms	(/ 1 (sqrt 2.0))
48.0ms	(- (exp x) (exp (- x)))

simplify594.0ms

Counts

240 → 240

Iterations

Useful iterations: done (583.0ms)

Iter	Nodes	Cost
0	347	6209
1	1071	5208
done	5001	4139

prune926.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes466.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	19	24
done	19	24

end0.0ms

sample6.6s

Algorithm: halfpoints