Details

sample364.0ms

Algorithm: halfpoints

simplify710.0ms

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize110.0ms

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))
58.4b	(- (exp x) (exp (- x)))

rewrite547.0ms

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:

19.0ms	(+ (exp x) (exp (- x)))
60.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
440.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
22.0ms	(- (exp x) (exp (- x)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (exp x) (exp (- x)))
85.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
138.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.0ms	(- (exp x) (exp (- x)))

simplify1.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5002
2	2321
1	517
0	199

prune650.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize89.0ms

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

rewrite190.0ms

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:

59.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
10.0ms	(* 1/60 (pow x 5))
103.0ms	(* (/ (+ (+ (* 1/3 (pow x 3)) (* x 2)) (* 1/60 (pow x 5))) 2.0) (sin y))
11.0ms	(* 1/3 (pow x 3))

series270.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
58.0ms	(* 1/60 (pow x 5))
94.0ms	(* (/ (+ (+ (* 1/3 (pow x 3)) (* x 2)) (* 1/60 (pow x 5))) 2.0) (sin y))
53.0ms	(* 1/3 (pow x 3))

simplify1.3s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	2780
1	631
0	249

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize134.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

94×	`times-frac`
81×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
64×	`add-cube-cbrt`
35×	`associate-l`
24×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-/r*`
9×	`associate-r` `associate-/r/` `unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1` `div-inv`
4×	`cbrt-undiv` `flip3-+` `cube-prod` `div-exp` `cbrt-unprod` `flip-+` `add-log-exp` `sqr-pow`
3×	`-commutative` `distribute-lft-out` `associate-/l`
2×	`pow-to-exp` `pow-exp`
1×	`cube-mult` `clear-num` `frac-2neg` `unpow3` `pow-prod-down` `associate-*l/`

Counts

4 → 169

Calls

4 calls:

74.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
10.0ms	(* (pow x 5) 1/60)
16.0ms	(* (pow x 3) 1/3)
54.0ms	(/ (sin y) (/ 2.0 (+ (+ (* (pow x 5) 1/60) (* (pow x 3) 1/3)) (* 2 x))))

series503.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
78.0ms	(* (pow x 5) 1/60)
58.0ms	(* (pow x 3) 1/3)
265.0ms	(/ (sin y) (/ 2.0 (+ (+ (* (pow x 5) 1/60) (* (pow x 3) 1/3)) (* 2 x))))

simplify1.8s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
2	4825
1	921
0	357

prune1.8s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize146.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 3) 1/3)
0.3b	(/ (/ (sin y) (sqrt 2.0)) (/ (sqrt 2.0) (+ (+ (* (pow x 5) 1/60) (* (pow x 3) 1/3)) (* 2 x))))
0.4b	(/ (sin y) (sqrt 2.0))
0.5b	(/ (sqrt 2.0) (+ (+ (* (pow x 5) 1/60) (* (pow x 3) 1/3)) (* 2 x)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

1428×	`times-frac`
669×	`add-sqr-sqrt`
662×	`*-un-lft-identity` `add-cube-cbrt`
456×	`sqrt-prod`
51×	`div-inv`
49×	`associate-/r/`
33×	`associate-/r*`
31×	`associate-/l*`
25×	`add-exp-log`
24×	`flip3-+` `flip-+`
22×	`add-cbrt-cube`
12×	`associate-l`
10×	`cbrt-undiv` `div-exp`
4×	`pow1` `unpow-prod-down` `cube-prod` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `associate-r` `prod-exp`
2×	`sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `associate-/l/`

Counts

4 → 705

Calls

4 calls:

23.0ms	(* (pow x 3) 1/3)
67.0ms	(/ (/ (sin y) (sqrt 2.0)) (/ (sqrt 2.0) (+ (+ (* (pow x 5) 1/60) (* (pow x 3) 1/3)) (* 2 x))))
17.0ms	(/ (sin y) (sqrt 2.0))
32.0ms	(/ (sqrt 2.0) (+ (+ (* (pow x 5) 1/60) (* (pow x 3) 1/3)) (* 2 x)))

series776.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (pow x 3) 1/3)
423.0ms	(/ (/ (sin y) (sqrt 2.0)) (/ (sqrt 2.0) (+ (+ (* (pow x 5) 1/60) (* (pow x 3) 1/3)) (* 2 x))))
103.0ms	(/ (sin y) (sqrt 2.0))
174.0ms	(/ (sqrt 2.0) (+ (+ (* (pow x 5) 1/60) (* (pow x 3) 1/3)) (* 2 x)))

simplify1.8s

Counts

717 → 717

Iterations

Iter	Nodes
done	5001
1	3414
0	943

prune6.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	27

end0.0ms

sample12.7s

Algorithm: halfpoints