Details

sample150.0ms

Algorithm

intervals

Results

62.0ms	79×	body	1280	valid
27.0ms	73×	body	640	valid
23.0ms	250×	body	80	valid
7.0ms	26×	body	320	valid
4.0ms	23×	body	160	valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	96	7
5	137	7
6	211	7
7	393	7
8	942	7
9	1761	7
10	2051	7
11	2171	7
done	2171	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 61

Calls

2 calls:

25.0ms	(* (cosh x) (/ (sin y) y))
14.0ms	(/ (sin y) y)

series197.0ms

Counts

2 → 6

Calls

2 calls:

149.0ms	(* (cosh x) (/ (sin y) y))
48.0ms	(/ (sin y) y)

simplify2.9s

Counts

67 → 67

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	120	663
1	255	632
2	838	568
3	3058	568
done	5000	556

prune270.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ (exp x) (exp (- x))) (sin y))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(/ (* (+ (exp x) (exp (- x))) (sin y)) (* 2 y))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`flip3-+` `associate-r` `flip-+`
2×	`associate-/l/` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

63.0ms	(* (+ (exp x) (exp (- x))) (sin y))
13.0ms	(+ (exp x) (exp (- x)))
47.0ms	(/ (* (+ (exp x) (exp (- x))) (sin y)) (* 2 y))

series227.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (+ (exp x) (exp (- x))) (sin y))
47.0ms	(+ (exp x) (exp (- x)))
107.0ms	(/ (* (+ (exp x) (exp (- x))) (sin y)) (* 2 y))

simplify1.3s

Counts

65 → 65

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	128	974
1	346	918
2	1533	744
done	5001	739

prune291.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (* (sin y) (/ 1 y)))
0.2b	(* (sin y) (/ 1 y))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
5×	`associate-*r/`
4×	`div-exp` `pow-prod-down`
3×	`cosh-def` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`associate-*l/` `div-inv`

Counts

2 → 63

Calls

2 calls:

60.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
31.0ms	(* (sin y) (/ 1 y))

series151.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
39.0ms	(* (sin y) (/ 1 y))

simplify3.0s

Counts

69 → 69

Iterations

Useful iterations: 2 (190.0ms)

Iter	Nodes	Cost
0	136	753
1	311	596
2	881	482
3	2936	482
done	5000	482

prune145.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.1b	(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) (sin y))) (* 2 y))
0.4b	(* (sqrt (+ (exp x) (exp (- x)))) (sin y))
0.5b	(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) (sin y)))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
26×	`sqrt-div`
18×	`associate-*l/`
15×	`*-un-lft-identity`
14×	`flip3-+` `associate-l` `flip-+`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
11×	`pow1`
9×	`add-cube-cbrt` `sqrt-prod`
8×	`frac-times` `associate-/l/`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`associate-r/` `associate-r*` `pow-prod-down`
3×	`distribute-lft-out`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-log` `div-inv` `associate-/l`

Counts

4 → 100

Calls

4 calls:

19.0ms	(+ (exp x) (exp (- x)))
125.0ms	(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) (sin y))) (* 2 y))
73.0ms	(* (sqrt (+ (exp x) (exp (- x)))) (sin y))
122.0ms	(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) (sin y)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (exp x) (exp (- x)))
90.0ms	(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) (sin y))) (* 2 y))
118.0ms	(* (sqrt (+ (exp x) (exp (- x)))) (sin y))
87.0ms	(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) (sin y)))

simplify1.4s

Counts

112 → 112

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	185	2588
1	503	1885
2	2210	1526
done	5000	1513

prune393.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.8s	2993×	body	1280	valid
924.0ms	2474×	body	640	valid
789.0ms	8558×	body	80	valid
676.0ms	1213×	body	320	valid
185.0ms	637×	body	160	valid