Details

sample140.0ms

Algorithm

intervals

Results

48.0ms	95×	body	1280	valid
26.0ms	83×	body	640	valid
26.0ms	278×	body	80	valid
10.0ms	39×	body	320	valid
4.0ms	22×	body	160	valid

simplify812.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

2.0ms	(cosh x)
15.0ms	(* (cosh x) (sin y))
10.0ms	(/ (* (cosh x) (sin y)) y)

series285.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(cosh x)
109.0ms	(* (cosh x) (sin y))
107.0ms	(/ (* (cosh x) (sin y)) y)

simplify713.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	1202
1	263
0	113

prune286.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.1b	(/ y (sin y))
0.2b	(/ (cosh x) (/ y (sin y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`cosh-def` `clear-num` `frac-2neg`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 106

Calls

3 calls:

1.0ms	(cosh x)
7.0ms	(/ y (sin y))
17.0ms	(/ (cosh x) (/ y (sin y)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(cosh x)
45.0ms	(/ y (sin y))
105.0ms	(/ (cosh x) (/ y (sin y)))

simplify763.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	2448
1	491
0	199

prune621.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

19.0ms	(+ (exp (- x)) (exp x))
67.0ms	(* (sin y) (+ (exp (- x)) (exp x)))
71.0ms	(/ (* 1/2 (* (sin y) (+ (exp (- x)) (exp x)))) y)

series243.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp (- x)) (exp x))
78.0ms	(* (sin y) (+ (exp (- x)) (exp x)))
138.0ms	(/ (* 1/2 (* (sin y) (+ (exp (- x)) (exp x)))) y)

simplify1.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	2767
1	414
0	140

prune360.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (- x)) (exp x))
0.0b	(* (sin y) (+ (exp (- x)) (exp x)))
0.3b	(* (* 1/2 (* (sin y) (+ (exp (- x)) (exp x)))) (/ 1 y))

rewrite405.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
26×	`add-cbrt-cube`
25×	`prod-exp`
17×	`associate-r`
16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `pow1`
13×	`cbrt-unprod`
12×	`add-cube-cbrt`
11×	`associate-*r/`
9×	`times-frac`
7×	`pow-prod-down`
6×	`div-exp`
5×	`add-log-exp`
4×	`flip3-+` `associate-l` `flip-+`
3×	`cbrt-undiv` `rec-exp` `1-exp`
2×	`frac-times` `associate-l/` `-commutative` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

14.0ms	(+ (exp (- x)) (exp x))
77.0ms	(* (sin y) (+ (exp (- x)) (exp x)))
311.0ms	(* (* 1/2 (* (sin y) (+ (exp (- x)) (exp x)))) (/ 1 y))

series219.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (exp (- x)) (exp x))
84.0ms	(* (sin y) (+ (exp (- x)) (exp x)))
102.0ms	(* (* 1/2 (* (sin y) (+ (exp (- x)) (exp x)))) (/ 1 y))

simplify2.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	3793
1	584
0	184

prune503.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes233.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.2s	3026×	body	1280	valid
1.5s	8541×	body	80	valid
1.1s	2396×	body	640	valid
436.0ms	1271×	body	320	valid
212.0ms	654×	body	160	valid