Details

sample114.0ms

Algorithm

intervals

Results

38.0ms	86×	body	1280	valid
26.0ms	91×	body	640	valid
16.0ms	245×	body	80	valid
10.0ms	51×	body	320	valid
2.0ms	20×	body	160	valid

simplify868.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	763
5	187
4	100
3	56
2	28
1	15
0	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 65

Calls

2 calls:

21.0ms	(* (cosh x) (/ (sin y) y))
15.0ms	(/ (sin y) y)

series156.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(* (cosh x) (/ (sin y) y))
49.0ms	(/ (sin y) y)

simplify808.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1306
1	282
0	124

prune390.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))))))

rewrite81.0ms

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×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 108

Calls

3 calls:

40.0ms	(* (sin y) (+ (exp x) (exp (- x))))
14.0ms	(/ y (* (sin y) (+ (exp x) (exp (- x)))))
24.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (- x))))))

series298.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (sin y) (+ (exp x) (exp (- x))))
150.0ms	(/ y (* (sin y) (+ (exp x) (exp (- x)))))
88.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (- x))))))

simplify1.5s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	3288
1	569
0	217

prune690.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

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))))))

rewrite162.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `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 → 230

Calls

3 calls:

53.0ms	(* (sin y) (+ (exp x) (exp (- x))))
32.0ms	(/ 1 (* (sin y) (+ (exp x) (exp (- x)))))
59.0ms	(/ (/ 1/2 y) (/ 1 (* (sin y) (+ (exp x) (exp (- x))))))

series255.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* (sin y) (+ (exp x) (exp (- x))))
80.0ms	(/ 1 (* (sin y) (+ (exp x) (exp (- x)))))
103.0ms	(/ (/ 1/2 y) (/ 1 (* (sin y) (+ (exp x) (exp (- x))))))

simplify653.0ms

Counts

239 → 239

Iterations

Iter	Nodes
done	5001
1	1278
0	419

prune1.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

202×	`times-frac`
161×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
106×	`add-cube-cbrt`
58×	`associate-r`
54×	`add-exp-log`
34×	`add-cbrt-cube`
27×	`distribute-lft-out`
26×	`div-exp`
19×	`associate-/l*`
14×	`cbrt-undiv`
13×	`div-inv`
10×	`prod-exp`
8×	`associate-/r*`
7×	`pow1`
6×	`cbrt-unprod`
5×	`associate-/r/`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 238

Calls

4 calls:

31.0ms	(/ (/ 1 (sin y)) (+ (exp (- x)) (exp x)))
5.0ms	(/ 1 (sin y))
24.0ms	(/ 1/2 (* y (/ (/ 1 (sin y)) (+ (exp (- x)) (exp x)))))
70.0ms	(* y (/ (/ 1 (sin y)) (+ (exp (- x)) (exp x))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (/ 1 (sin y)) (+ (exp (- x)) (exp x)))
18.0ms	(/ 1 (sin y))
110.0ms	(/ 1/2 (* y (/ (/ 1 (sin y)) (+ (exp (- x)) (exp x)))))
132.0ms	(* y (/ (/ 1 (sin y)) (+ (exp (- x)) (exp x))))

simplify591.0ms

Counts

250 → 250

Iterations

Iter	Nodes
done	5000
1	904
0	328

prune1.0s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes396.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.5s	2991×	body	1280	valid
892.0ms	2396×	body	640	valid
715.0ms	8570×	body	80	valid
333.0ms	1190×	body	320	valid
130.0ms	646×	body	160	valid