Details

sample535.0ms

Algorithm: halfpoints

simplify8.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	2574
7	1165
6	432
5	178
4	111
3	79
2	48
1	30
0	16

prune45.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.2b

localize252.0ms

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)))

rewrite465.0ms

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:

41.0ms	(+ (exp x) (exp (- x)))
196.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
183.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms	(- (exp x) (exp (- x)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (exp x) (exp (- x)))
154.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
185.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
63.0ms	(- (exp x) (exp (- x)))

simplify3.9s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1729
1	520
0	203

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize319.0ms

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	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2.0) (sin y))
0.2b	(* (* x x) 1/3)

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
33×	`associate-l`
31×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`add-exp-log`
23×	`times-frac`
21×	`add-cbrt-cube`
16×	`associate-r`
13×	`pow1`
10×	`prod-exp`
8×	`cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 115

Calls

4 calls:

146.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(* 1/60 (pow x 5))
130.0ms	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2.0) (sin y))
51.0ms	(* (* x x) 1/3)

series437.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
75.0ms	(* 1/60 (pow x 5))
155.0ms	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2.0) (sin y))
44.0ms	(* (* x x) 1/3)

simplify4.9s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	2013
1	602
0	241

prune1.9s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize319.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt 2.0)) (sin y))
0.4b	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt 2.0)) (sin y)))
0.5b	(/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt 2.0))
1.0b	(/ 1 (sqrt 2.0))

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
69×	`add-sqr-sqrt`
61×	`*-un-lft-identity` `add-cube-cbrt`
54×	`add-exp-log`
44×	`associate-l`
43×	`sqrt-prod`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-/l*`
4×	`rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `insert-posit16` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+` `inv-pow`

Counts

4 → 186

Calls

4 calls:

102.0ms	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt 2.0)) (sin y))
146.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt 2.0)) (sin y)))
88.0ms	(/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt 2.0))
22.0ms	(/ 1 (sqrt 2.0))

series943.0ms

Counts

4 → 10

Calls

4 calls:

336.0ms	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt 2.0)) (sin y))
432.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt 2.0)) (sin y)))
176.0ms	(/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))

simplify5.7s

Counts

196 → 196

Iterations

Iter	Nodes
done	5000
2	2435
1	700
0	259

prune3.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize398.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1 (sqrt (sqrt 2.0))) (* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt (sqrt 2.0))) (sin y)))
0.4b	(* (/ 1 (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt (sqrt 2.0))) (sin y))))
1.0b	(/ 1 (sqrt 2.0))
1.0b	(/ 1 (sqrt (sqrt 2.0)))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

276×	`add-exp-log`
152×	`prod-exp`
94×	`add-cbrt-cube`
90×	`times-frac`
84×	`sqrt-prod`
80×	`div-exp`
73×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
53×	`associate-l`
44×	`cbrt-unprod`
30×	`rec-exp` `1-exp`
24×	`cbrt-undiv`
23×	`pow1`
15×	`associate-/r*`
10×	`associate-*l/`
9×	`pow-prod-down`
8×	`pow-flip`
6×	`frac-times` `associate-r/` `associate-/l`
5×	`sqrt-pow1`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`pow1/2`
2×	`clear-num` `frac-2neg` `associate-r` `*-commutative` `inv-pow`

Counts

4 → 278

Calls

4 calls:

243.0ms	(* (/ 1 (sqrt (sqrt 2.0))) (* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt (sqrt 2.0))) (sin y)))
676.0ms	(* (/ 1 (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt (sqrt 2.0))) (sin y))))
12.0ms	(/ 1 (sqrt 2.0))
27.0ms	(/ 1 (sqrt (sqrt 2.0)))

series748.0ms

Counts

4 → 8

Calls

4 calls:

331.0ms	(* (/ 1 (sqrt (sqrt 2.0))) (* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt (sqrt 2.0))) (sin y)))
417.0ms	(* (/ 1 (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) (sqrt (sqrt 2.0))) (sin y))))
0.0ms	(/ 1 (sqrt 2.0))
0.0ms	(/ 1 (sqrt (sqrt 2.0)))

simplify7.8s

Counts

286 → 286

Iterations

Iter	Nodes
done	5000
2	3066
1	886
0	337

prune2.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes494.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify20.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample14.6s

Algorithm: halfpoints