Details

sample376.0ms

Algorithm: halfpoints

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3509
8	2235
7	1201
6	423
5	176
4	113
3	80
2	48
1	30
0	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.9b

localize123.0ms

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

rewrite188.0ms

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:

22.0ms	(+ (exp x) (exp (- x)))
61.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
80.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
18.0ms	(- (exp x) (exp (- x)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (exp x) (exp (- x)))
76.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
103.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
51.0ms	(- (exp x) (exp (- x)))

simplify1.8s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1811
1	516
0	200

prune904.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize138.0ms

Local error

Found 4 expressions with local error:

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

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

31×	`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` `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:

86.0ms	(* x (+ (* 1/3 (* x x)) 2))
11.0ms	(* 1/60 (pow x 5))
93.0ms	(* (/ (+ (* x (+ (* 1/3 (* x x)) 2)) (* 1/60 (pow x 5))) 2) (sin y))
24.0ms	(* 1/3 (* x x))

series442.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* x (+ (* 1/3 (* x x)) 2))
92.0ms	(* 1/60 (pow x 5))
168.0ms	(* (/ (+ (* x (+ (* 1/3 (* x x)) 2)) (* 1/60 (pow x 5))) 2) (sin y))
35.0ms	(* 1/3 (* x x))

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1956
1	540
0	195

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize168.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

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:

11.0ms	(* 1/60 (pow x 5))
68.0ms	(* (* 1/3 (* x x)) x)
942.0ms	(* (/ (+ (+ (* (* 1/3 (* x x)) x) (* 2 x)) (* 1/60 (pow x 5))) 2) (sin y))
31.0ms	(* 1/3 (* x x))

series349.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* 1/60 (pow x 5))
78.0ms	(* (* 1/3 (* x x)) x)
149.0ms	(* (/ (+ (+ (* (* 1/3 (* x x)) x) (* 2 x)) (* 1/60 (pow x 5))) 2) (sin y))
38.0ms	(* 1/3 (* x x))

simplify2.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	1469
1	464
0	180

prune843.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize101.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

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-l`
9×	`associate-r` `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:

15.0ms	(* (pow x 5) 1/60)
31.0ms	(* (* 1/3 x) x)
58.0ms	(/ (sin y) (/ 2 (+ (* x (+ 2 (* (* 1/3 x) x))) (* (pow x 5) 1/60))))
16.0ms	(* 1/3 x)

series335.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (pow x 5) 1/60)
48.0ms	(* (* 1/3 x) x)
194.0ms	(/ (sin y) (/ 2 (+ (* x (+ 2 (* (* 1/3 x) x))) (* (pow x 5) 1/60))))
24.0ms	(* 1/3 x)

simplify1.9s

Counts

155 → 155

Iterations

Iter	Nodes
done	5006
2	2501
1	724
0	280

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample11.6s

Algorithm: halfpoints