Details

sample137.0ms

Algorithm

intervals

Results

47.0ms	91×	body	640	valid
37.0ms	86×	body	1280	valid
15.0ms	245×	body	80	valid
10.0ms	51×	body	320	valid
3.0ms	20×	body	160	valid

simplify639.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	745
5	179
4	96
3	56
2	28
1	15
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

12.0ms	(* (cosh x) (/ (sin y) y))
6.0ms	(/ (sin y) y)

series131.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* (cosh x) (/ (sin y) y))
35.0ms	(/ (sin y) y)

simplify805.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1286
1	275
0	120

prune336.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin y) (+ (exp x) (exp (- x))))
0.1b	(/ y (* (sin y) (+ (exp x) (exp (- x)))))
0.1b	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (- x))))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
27×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`pow1`
4×	`associate-r`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

3 → 102

Calls

3 calls:

51.0ms	(* (sin y) (+ (exp x) (exp (- x))))
14.0ms	(/ y (* (sin y) (+ (exp x) (exp (- x)))))
21.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (- x))))))

series317.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(* (sin y) (+ (exp x) (exp (- x))))
129.0ms	(/ y (* (sin y) (+ (exp x) (exp (- x)))))
98.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (- x))))))

simplify1.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	3253
1	553
0	211

prune633.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin y) (+ (exp x) (exp (- x))))
0.1b	(/ 1 (* (sin y) (+ (exp x) (exp (- x)))))
0.2b	(/ (/ 1/2 y) (/ 1 (* (sin y) (+ (exp x) (exp (- x))))))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
107×	`add-sqr-sqrt` `*-un-lft-identity`
105×	`add-cube-cbrt`
61×	`add-exp-log`
33×	`div-exp`
32×	`associate-*r/`
31×	`add-cbrt-cube` `associate-/r/`
26×	`div-inv`
16×	`flip3-+` `flip-+` `associate-/l*`
15×	`cbrt-undiv`
10×	`associate-/r*` `prod-exp`
8×	`pow1`
6×	`rec-exp` `1-exp`
4×	`associate-r` `cbrt-unprod`
3×	`associate-l` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `pow-flip`
1×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `distribute-lft-out` `inv-pow` `unswap-sqr` `associate-/l/`

Counts

3 → 224

Calls

3 calls:

57.0ms	(* (sin y) (+ (exp x) (exp (- x))))
37.0ms	(/ 1 (* (sin y) (+ (exp x) (exp (- x)))))
39.0ms	(/ (/ 1/2 y) (/ 1 (* (sin y) (+ (exp x) (exp (- x))))))

series300.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(* (sin y) (+ (exp x) (exp (- x))))
90.0ms	(/ 1 (* (sin y) (+ (exp x) (exp (- x)))))
113.0ms	(/ (/ 1/2 y) (/ 1 (* (sin y) (+ (exp x) (exp (- x))))))

simplify591.0ms

Counts

233 → 233

Iterations

Iter	Nodes
done	5000
1	1264
0	413

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin y) (+ (exp x) (exp (- x))))
0.1b	(/ y (* (sin y) (+ (exp x) (exp (- x)))))
0.1b	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (- x))))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
27×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`pow1`
4×	`associate-r`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

3 → 102

Calls

3 calls:

45.0ms	(* (sin y) (+ (exp x) (exp (- x))))
15.0ms	(/ y (* (sin y) (+ (exp x) (exp (- x)))))
28.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (- x))))))

series390.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(* (sin y) (+ (exp x) (exp (- x))))
169.0ms	(/ y (* (sin y) (+ (exp x) (exp (- x)))))
127.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (- x))))))

simplify1.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	3253
1	553
0	211

prune759.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes329.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.0s	2991×	body	1280	valid
1.2s	8570×	body	80	valid
995.0ms	2396×	body	640	valid
251.0ms	1190×	body	320	valid
127.0ms	646×	body	160	valid