Details

sample171.0ms

Algorithm

intervals

Results

53.0ms	79×	body	1280	valid
47.0ms	250×	body	80	valid
33.0ms	73×	body	640	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	100	7
5	145	7
6	223	7
7	419	7
8	1004	7
9	1898	7
10	2239	7
11	2341	7
done	2341	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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

Counts

2 → 65

Calls

2 calls:

23.0ms	(* (cosh x) (/ (sin y) y))
18.0ms	(/ (sin y) y)

series146.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (cosh x) (/ (sin y) y))
34.0ms	(/ (sin y) y)

simplify2.2s

Counts

71 → 71

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	124	689
1	263	656
2	868	592
3	3123	590
done	5000	578

prune245.0ms

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r*`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u`
2×	`associate-/l/` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

73.0ms	(* (sin y) (+ (exp x) (exp (- x))))
20.0ms	(+ (exp x) (exp (- x)))
48.0ms	(/ (* (sin y) (+ (exp x) (exp (- x)))) (* 2 y))

series219.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* (sin y) (+ (exp x) (exp (- x))))
38.0ms	(+ (exp x) (exp (- x)))
104.0ms	(/ (* (sin y) (+ (exp x) (exp (- x)))) (* 2 y))

simplify1.0s

Counts

76 → 76

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	134	1057
1	380	993
2	1682	818
done	5001	812

prune247.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
37×	`times-frac`
28×	`add-cube-cbrt`
17×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
13×	`associate-l`
8×	`distribute-lft-out`
5×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
3×	`expm1-log1p-u` `fma-def` `associate-/r*` `log1p-expm1-u` `div-inv`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `*-commutative`

Counts

3 → 107

Calls

3 calls:

56.0ms	(/ (+ (exp x) (exp (- x))) y)
25.0ms	(+ (exp x) (exp (- x)))
109.0ms	(* (/ (sin y) 2) (/ (+ (exp x) (exp (- x))) y))

series216.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (+ (exp x) (exp (- x))) y)
37.0ms	(+ (exp x) (exp (- x)))
106.0ms	(* (/ (sin y) 2) (/ (+ (exp x) (exp (- x))) y))

simplify1.6s

Counts

116 → 116

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	187	1724
1	499	1642
2	1682	1468
done	5000	1463

prune363.0ms

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)))
0.3b	(* (* (/ (sin y) 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (+ (exp x) (exp (- x)))) y))
0.4b	(* (/ (sin y) 2) (sqrt (+ (exp x) (exp (- x)))))
0.4b	(/ (sqrt (+ (exp x) (exp (- x)))) y)

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
53×	`times-frac`
44×	`add-cube-cbrt`
34×	`sqrt-prod`
32×	`add-exp-log` `associate-r` `add-cbrt-cube`
14×	`sqrt-div` `associate-l`
12×	`prod-exp` `cbrt-unprod`
11×	`pow1` `frac-times`
9×	`distribute-lft-out`
8×	`flip3-+` `associate-*l/` `flip-+`
7×	`cbrt-undiv` `associate-r/` `div-exp` `associate-/l`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `associate-/r*` `div-inv`
2×	`*-commutative` `associate-/l/`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 169

Calls

4 calls:

17.0ms	(+ (exp x) (exp (- x)))
118.0ms	(* (* (/ (sin y) 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (+ (exp x) (exp (- x)))) y))
61.0ms	(* (/ (sin y) 2) (sqrt (+ (exp x) (exp (- x)))))
39.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) y)

series365.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (exp x) (exp (- x)))
102.0ms	(* (* (/ (sin y) 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (+ (exp x) (exp (- x)))) y))
116.0ms	(* (/ (sin y) 2) (sqrt (+ (exp x) (exp (- x)))))
119.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) y)

simplify1.6s

Counts

181 → 181

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	281	3690
1	707	3099
2	2559	2758
done	5000	2739

prune622.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes166.0ms

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

sample5.1s

Algorithm

intervals

Results

1.8s	2993×	body	1280	valid
1.1s	8558×	body	80	valid
944.0ms	2474×	body	640	valid
397.0ms	1213×	body	320	valid
141.0ms	637×	body	160	valid