Details

sample513.0ms

Algorithm: halfpoints

simplify8.3s

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

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.9b

localize126.0ms

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))
58.5b	(- (exp x) (exp (- x)))

rewrite279.0ms

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:

21.0ms	(+ (exp x) (exp (- x)))
118.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
106.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
26.0ms	(- (exp x) (exp (- x)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (exp x) (exp (- x)))
108.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
152.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
70.0ms	(- (exp x) (exp (- x)))

simplify3.0s

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

localize158.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2 (* (* x x) 1/3)))
0.0b	(* 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)

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
21×	`add-exp-log`
20×	`associate-l`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
16×	`associate-r`
13×	`pow1`
10×	`times-frac`
9×	`prod-exp`
7×	`cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `associate-*l/` `pow-exp` `flip-+` `div-inv`

Counts

4 → 102

Calls

4 calls:

34.0ms	(* x (+ 2 (* (* x x) 1/3)))
16.0ms	(* 1/60 (pow x 5))
75.0ms	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2.0) (sin y))
46.0ms	(* (* x x) 1/3)

series464.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* x (+ 2 (* (* x x) 1/3)))
76.0ms	(* 1/60 (pow x 5))
198.0ms	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2.0) (sin y))
57.0ms	(* (* x x) 1/3)

simplify3.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1865
1	549
0	201

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize159.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* x (* (* x x) 1/3))
0.1b	(* (/ (+ (+ (* x 2) (* x (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2.0) (sin y))
0.2b	(* (* x x) 1/3)

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `add-exp-log`
25×	`add-cbrt-cube`
20×	`pow1` `associate-l`
17×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-r` `prod-exp`
12×	`cbrt-unprod`
10×	`times-frac` `pow-prod-down`
6×	`unswap-sqr`
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 → 101

Calls

4 calls:

16.0ms	(* 1/60 (pow x 5))
117.0ms	(* x (* (* x x) 1/3))
180.0ms	(* (/ (+ (+ (* x 2) (* x (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2.0) (sin y))
39.0ms	(* (* x x) 1/3)

series382.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* 1/60 (pow x 5))
53.0ms	(* x (* (* x x) 1/3))
213.0ms	(* (/ (+ (+ (* x 2) (* x (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2.0) (sin y))
41.0ms	(* (* x x) 1/3)

simplify3.3s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1377
1	444
0	185

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize197.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* x (* x 1/3))
0.2b	(/ (sin y) (/ 2.0 (+ (* x (+ 2 (* x (* x 1/3)))) (* 1/60 (pow x 5)))))
0.3b	(* x 1/3)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
61×	`add-sqr-sqrt`
54×	`*-un-lft-identity` `add-cube-cbrt`
21×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-/r*`
11×	`pow1` `associate-r`
9×	`associate-l` `associate-/r/`
7×	`prod-exp`
5×	`cbrt-unprod` `div-inv`
4×	`unpow-prod-down` `flip3-+` `pow-prod-down` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `-commutative` `associate-/l`
2×	`sqr-pow`
1×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp`

Counts

4 → 143

Calls

4 calls:

17.0ms	(* 1/60 (pow x 5))
22.0ms	(* x (* x 1/3))
47.0ms	(/ (sin y) (/ 2.0 (+ (* x (+ 2 (* x (* x 1/3)))) (* 1/60 (pow x 5)))))
9.0ms	(* x 1/3)

series578.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* 1/60 (pow x 5))
47.0ms	(* x (* x 1/3))
392.0ms	(/ (sin y) (/ 2.0 (+ (* x (+ 2 (* x (* x 1/3)))) (* 1/60 (pow x 5)))))
32.0ms	(* x 1/3)

simplify4.5s

Counts

155 → 155

Iterations

Iter	Nodes
done	5000
2	2451
1	726
0	286

prune2.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes587.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	36
1	36
0	27

end0.0ms

sample13.1s

Algorithm: halfpoints