Details

sample145.0ms

Algorithm

intervals

Results

57.0ms	96×	body	1280	valid
25.0ms	71×	body	640	valid
19.0ms	249×	body	80	valid
13.0ms	48×	body	320	valid
5.0ms	28×	body	160	valid

simplify6.9s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

3.0ms	(cosh x)
18.0ms	(* (cosh x) (/ (sin y) y))
9.0ms	(/ (sin y) y)

series223.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(cosh x)
107.0ms	(* (cosh x) (/ (sin y) y))
34.0ms	(/ (sin y) y)

simplify3.0s

Counts

78 → 78

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	130	729
1	278	697
2	879	629
3	3106	629
done	5000	617

prune321.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

25.0ms	(+ (exp x) (exp (- x)))
131.0ms	(* (* (+ (exp x) (exp (- x))) 1/2) (/ (sin y) y))
17.0ms	(/ (sin y) y)

series186.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (exp x) (exp (- x)))
110.0ms	(* (* (+ (exp x) (exp (- x))) 1/2) (/ (sin y) y))
48.0ms	(/ (sin y) y)

simplify1.6s

Counts

85 → 85

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	156	1168
1	395	1100
2	1414	936
done	5001	935

prune357.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- x)) 3)
0.0b	(pow (exp x) 3)
0.1b	(/ (sin y) y)
6.5b	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

59×	`exp-neg`
40×	`associate-*r/`
39×	`neg-sub0` `exp-diff`
27×	`frac-sub`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
20×	`un-div-inv`
15×	`pow-pow` `sub-div`
13×	`exp-prod`
12×	`frac-times` `associate-*l/`
9×	`times-frac`
8×	`add-cbrt-cube`
6×	`pow1` `add-exp-log` `unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/r` `associate-/l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `neg-mul-1` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv`

Counts

4 → 143

Calls

4 calls:

9.0ms	(pow (exp (- x)) 3)
5.0ms	(pow (exp x) 3)
9.0ms	(/ (sin y) y)
60.0ms	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (exp (- x)) 3)
25.0ms	(pow (exp x) 3)
34.0ms	(/ (sin y) y)
77.0ms	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

simplify2.8s

Counts

155 → 155

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	242	1809
1	478	1255
2	1608	1064
done	5001	1056

prune611.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac`
90×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/r*`
15×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `associate-/r/`

Counts

3 → 125

Calls

3 calls:

14.0ms	(+ (exp x) (exp (- x)))
6.0ms	(/ y (sin y))
64.0ms	(/ (+ (exp x) (exp (- x))) (/ y (sin y)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (exp x) (exp (- x)))
42.0ms	(/ y (sin y))
102.0ms	(/ (+ (exp x) (exp (- x))) (/ y (sin y)))

simplify3.4s

Counts

134 → 134

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	208	2311
1	462	2194
2	1416	2072
3	4207	2069
done	5000	2069

prune477.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	38
1	25	38
done	25	38

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.8s	2474×	body	640	valid
1.7s	2940×	body	1280	valid
831.0ms	8506×	body	80	valid
382.0ms	1218×	body	320	valid
146.0ms	631×	body	160	valid