Details

sample450.0ms

Algorithm: halfpoints

simplify930.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	991
5	235
4	118
3	83
2	48
1	30
0	16

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.4b

localize108.0ms

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))
58.2b	(- (exp x) (exp (- x)))

rewrite197.0ms

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` `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 → 99

Calls

4 calls:

15.0ms	(+ (exp x) (exp (- x)))
88.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
69.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
21.0ms	(- (exp x) (exp (- x)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp x) (exp (- x)))
87.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
128.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
50.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

111 → 111

Iterations

Iter	Nodes
done	5002
2	2321
1	517
0	199

prune750.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize116.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
0.1b	(* (/ (+ (+ (* 1/3 (pow x 3)) (* x 2)) (* 1/60 (pow x 5))) 2.0) (sin y))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
35×	`associate-l`
34×	`*-un-lft-identity`
28×	`add-cube-cbrt`
25×	`associate-r`
24×	`add-exp-log`
23×	`times-frac`
18×	`add-cbrt-cube`
11×	`unswap-sqr`
10×	`prod-exp`
8×	`pow1` `unpow-prod-down`
6×	`cbrt-unprod`
4×	`cube-prod` `*-commutative` `add-log-exp` `sqr-pow`
3×	`distribute-lft-out`
2×	`pow-to-exp` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-*l/` `pow-exp` `div-inv`
1×	`cube-mult` `unpow3`

Counts

4 → 123

Calls

4 calls:

56.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
9.0ms	(* 1/60 (pow x 5))
11.0ms	(* 1/3 (pow x 3))
122.0ms	(* (/ (+ (+ (* 1/3 (pow x 3)) (* x 2)) (* 1/60 (pow x 5))) 2.0) (sin y))

series314.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
59.0ms	(* 1/60 (pow x 5))
40.0ms	(* 1/3 (pow x 3))
123.0ms	(* (/ (+ (+ (* 1/3 (pow x 3)) (* x 2)) (* 1/60 (pow x 5))) 2.0) (sin y))

simplify1.4s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
2	2773
1	630
0	249

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize122.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2)))
0.3b	(/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0))
0.3b	(* (/ 1 (sqrt 2.0)) (/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0)))
1.0b	(/ 1 (sqrt 2.0))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
54×	`add-exp-log`
52×	`times-frac`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
34×	`add-cbrt-cube`
32×	`sqrt-prod`
25×	`associate-l`
18×	`div-exp` `prod-exp`
13×	`associate-r`
12×	`associate-/r*`
10×	`pow1` `cbrt-undiv` `cbrt-unprod`
6×	`unswap-sqr`
5×	`associate-*r/`
4×	`rec-exp` `1-exp` `div-inv` `associate-/l*` `add-log-exp`
3×	`pow-flip`
2×	`clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `sqrt-pow1` `pow1/2` `associate-*l/` `inv-pow`

Counts

4 → 163

Calls

4 calls:

94.0ms	(* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2)))
50.0ms	(/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0))
94.0ms	(* (/ 1 (sqrt 2.0)) (/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0)))
16.0ms	(/ 1 (sqrt 2.0))

series1.1s

Counts

4 → 10

Calls

4 calls:

265.0ms	(* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2)))
438.0ms	(/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0))
443.0ms	(* (/ 1 (sqrt 2.0)) (/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0)))
0.0ms	(/ 1 (sqrt 2.0))

simplify525.0ms

Counts

173 → 173

Iterations

Iter	Nodes
done	5001
1	805
0	262

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2)))
0.3b	(/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0))
0.3b	(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0)))
1.0b	(/ (/ 1 2.0) (sqrt 2.0))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

295×	`times-frac`
186×	`add-sqr-sqrt`
162×	`*-un-lft-identity`
160×	`add-cube-cbrt`
93×	`sqrt-prod`
89×	`cbrt-prod`
88×	`associate-l`
29×	`add-exp-log`
22×	`add-cbrt-cube`
17×	`div-inv`
14×	`associate-/l*`
13×	`associate-r`
12×	`pow1` `associate-/r*`
10×	`div-exp`
9×	`unswap-sqr`
7×	`cbrt-undiv`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/`
4×	`add-log-exp` `pow-div`
3×	`associate-/l/`
2×	`cbrt-div` `clear-num` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `*-commutative` `flip-+` `pow-flip` `inv-pow`
1×	`distribute-rgt-in` `frac-times` `rec-exp` `distribute-lft-in` `1-exp` `associate-*l/`

Counts

4 → 290

Calls

4 calls:

98.0ms	(* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2)))
60.0ms	(/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0))
137.0ms	(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0)))
11.0ms	(/ (/ 1 2.0) (sqrt 2.0))

series1.7s

Counts

4 → 10

Calls

4 calls:

243.0ms	(* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2)))
356.0ms	(/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0))
1.1s	(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (/ (* (sin y) (+ (+ (* 1/60 (pow x 5)) (* (pow x 3) 1/3)) (* x 2))) (sqrt 2.0)))
0.0ms	(/ (/ 1 2.0) (sqrt 2.0))

simplify810.0ms

Counts

300 → 300

Iterations

Iter	Nodes
done	5001
1	1252
0	463

prune2.9s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes283.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	35
1	35
0	27

end0.0ms

sample12.7s

Algorithm: halfpoints