Details

sample432.0ms

Algorithm: halfpoints

simplify11.8s

Counts

1 → 1

Iterations

Iter	Nodes
9	2619
8	1786
7	1075
6	423
5	176
4	112
3	78
2	46
1	30
0	16

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.8b

localize121.0ms

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))
57.8b	(- (exp x) (exp (- x)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
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 → 103

Calls

4 calls:

18.0ms	(+ (exp x) (exp (- x)))
66.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
51.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
23.0ms	(- (exp x) (exp (- x)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (exp x) (exp (- x)))
73.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
93.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
48.0ms	(- (exp x) (exp (- x)))

simplify2.2s

Counts

115 → 115

Iterations

Iter	Nodes
3	4948
2	1643
1	513
0	200

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize149.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow x 5))
0.1b	(* x (* 1/3 x))
0.1b	(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
0.3b	(* 1/3 x)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`associate-l`
21×	`add-exp-log`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
14×	`associate-r`
13×	`pow1`
10×	`times-frac`
9×	`prod-exp`
7×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `div-exp` `associate-*l/` `pow-exp` `div-inv`

Counts

4 → 97

Calls

4 calls:

8.0ms	(* 1/60 (pow x 5))
13.0ms	(* x (* 1/3 x))
37.0ms	(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
5.0ms	(* 1/3 x)

series336.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* 1/60 (pow x 5))
38.0ms	(* x (* 1/3 x))
163.0ms	(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
30.0ms	(* 1/3 x)

simplify2.1s

Counts

109 → 109

Iterations

Iter	Nodes
3	4805
2	1245
1	398
0	172

prune2.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.3b	(* (/ 1 (sqrt 2)) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
0.4b	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
1.0b	(/ 1 (sqrt 2))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
51×	`add-sqr-sqrt` `add-exp-log`
49×	`*-un-lft-identity` `add-cube-cbrt`
33×	`sqrt-prod`
31×	`add-cbrt-cube`
25×	`associate-l`
21×	`prod-exp`
13×	`pow1` `div-exp`
12×	`associate-/r*`
11×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`associate-/l*`
4×	`rec-exp` `1-exp` `associate-r` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`associate-*l/` `div-inv` `pow-flip`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

11.0ms	(* 1/3 x)
53.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
49.0ms	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
6.0ms	(/ 1 (sqrt 2))

series537.0ms

Counts

4 → 10

Calls

4 calls:

34.0ms	(* 1/3 x)
322.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
181.0ms	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
0.0ms	(/ 1 (sqrt 2))

simplify1.1s

Counts

172 → 172

Iterations

Iter	Nodes
2	2097
1	617
0	245

prune3.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize174.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.3b	(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
0.4b	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
1.0b	(/ 1/2 (sqrt 2))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
52×	`add-sqr-sqrt`
50×	`*-un-lft-identity` `add-cube-cbrt`
33×	`sqrt-prod`
28×	`associate-l`
22×	`cbrt-prod`
19×	`add-exp-log`
16×	`add-cbrt-cube`
12×	`associate-/r*`
11×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
4×	`associate-r` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`
2×	`cbrt-div` `clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`frac-times` `flip3-+` `associate-*r/` `flip-+` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

5.0ms	(* 1/3 x)
58.0ms	(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
76.0ms	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
8.0ms	(/ 1/2 (sqrt 2))

series1.2s

Counts

4 → 10

Calls

4 calls:

23.0ms	(* 1/3 x)
927.0ms	(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
209.0ms	(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
0.0ms	(/ 1/2 (sqrt 2))

simplify4.5s

Counts

157 → 157

Iterations

Iter	Nodes
3	8189
2	1879
1	601
0	259

prune3.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes214.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	34
1	34
0	25

end0.0ms

sample11.7s

Algorithm: halfpoints