Details

sample432.0ms

Algorithm: halfpoints

simplify783.0ms

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: 44.5b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.8b	(- (exp x) (exp (- x)))

rewrite153.0ms

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:

57.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
18.0ms	(+ (exp x) (exp (- x)))
63.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
11.0ms	(- (exp x) (exp (- x)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
33.0ms	(+ (exp x) (exp (- x)))
124.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
47.0ms	(- (exp x) (exp (- x)))

simplify1.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	2328
1	517
0	199

prune675.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize133.0ms

Local error

Found 4 expressions with local error:

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

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
22×	`associate-r`
19×	`-un-lft-identity` `associate-l*` `add-exp-log` `add-cube-cbrt`
13×	`add-cbrt-cube`
10×	`times-frac`
9×	`add-log-exp` `unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`sum-log` `*-commutative`
2×	`pow-to-exp` `pow-exp`
1×	`cube-mult` `cbrt-undiv` `+-commutative` `associate-+l+` `flip3-+` `unpow3` `div-exp` `pow-prod-down` `associate-*l/` `flip-+` `div-inv`

Counts

4 → 101

Calls

4 calls:

52.0ms	(+ (+ (* 1/3 (pow x 3)) (* x 2)) (* 1/60 (pow x 5)))
16.0ms	(* 1/60 (pow x 5))
120.0ms	(* (/ (+ (+ (* 1/3 (pow x 3)) (* x 2)) (* 1/60 (pow x 5))) 2.0) (sin y))
11.0ms	(* 1/3 (pow x 3))

series334.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (+ (* 1/3 (pow x 3)) (* x 2)) (* 1/60 (pow x 5)))
54.0ms	(* 1/60 (pow x 5))
142.0ms	(* (/ (+ (+ (* 1/3 (pow x 3)) (* x 2)) (* 1/60 (pow x 5))) 2.0) (sin y))
67.0ms	(* 1/3 (pow x 3))

simplify949.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	2028
1	495
0	194

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 3) 1/3)
0.3b	(/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0))
0.4b	(* (/ 1 (sqrt 2.0)) (/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0)))
1.0b	(/ 1 (sqrt 2.0))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
57×	`add-exp-log`
52×	`times-frac`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
34×	`add-cbrt-cube` `associate-l`
32×	`sqrt-prod`
20×	`prod-exp`
18×	`div-exp`
13×	`associate-r`
12×	`associate-/r*`
10×	`cbrt-undiv` `cbrt-unprod`
9×	`unswap-sqr`
8×	`pow1`
4×	`rec-exp` `unpow-prod-down` `1-exp` `cube-prod` `div-inv` `associate-/l*` `add-log-exp`
3×	`associate-*l/` `pow-flip`
2×	`clear-num` `frac-2neg` `*-commutative` `sqr-pow` `associate-/l/`
1×	`cube-mult` `frac-times` `pow-to-exp` `sqrt-pow1` `flip3-+` `pow1/2` `unpow3` `pow-prod-down` `pow-exp` `associate-*r/` `flip-+` `inv-pow`

Counts

4 → 172

Calls

4 calls:

20.0ms	(* (pow x 3) 1/3)
69.0ms	(/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0))
77.0ms	(* (/ 1 (sqrt 2.0)) (/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0)))
19.0ms	(/ 1 (sqrt 2.0))

series592.0ms

Counts

4 → 10

Calls

4 calls:

66.0ms	(* (pow x 3) 1/3)
207.0ms	(/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0))
318.0ms	(* (/ 1 (sqrt 2.0)) (/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0)))
0.0ms	(/ 1 (sqrt 2.0))

simplify560.0ms

Counts

182 → 182

Iterations

Iter	Nodes
done	5001
1	771
0	267

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize145.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y))
0.1b	(* (pow x 3) 1/3)
0.3b	(/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0))
0.4b	(* (pow 2.0 -1/2) (/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0)))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
33×	`add-sqr-sqrt`
22×	`add-cbrt-cube` `associate-l`
19×	`*-un-lft-identity` `add-cube-cbrt`
17×	`prod-exp`
16×	`associate-r`
12×	`times-frac`
9×	`sqrt-prod`
8×	`unpow-prod-down` `div-exp` `unswap-sqr`
7×	`cbrt-unprod`
6×	`pow1` `associate-/r*`
4×	`pow-to-exp` `cbrt-undiv` `cube-prod` `associate-*l/` `pow-exp` `add-log-exp` `sqr-pow`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cube-mult` `clear-num` `frac-2neg` `unpow3` `pow-prod-down` `associate-r/` `associate-/l`

Counts

4 → 121

Calls

4 calls:

115.0ms	(* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y))
11.0ms	(* (pow x 3) 1/3)
42.0ms	(/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0))
80.0ms	(* (pow 2.0 -1/2) (/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0)))

series769.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y))
72.0ms	(* (pow x 3) 1/3)
219.0ms	(/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0))
320.0ms	(* (pow 2.0 -1/2) (/ (* (+ (+ (* (pow x 5) 1/60) (* 2 x)) (* (pow x 3) 1/3)) (sin y)) (sqrt 2.0)))

simplify1.8s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	3705
1	643
0	237

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes237.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	35
1	35
0	27

end0.0ms

sample13.0s

Algorithm: halfpoints