Details

sample201.0ms

Algorithm: halfpoints

simplify808.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	977
5	235
4	118
3	83
2	48
1	30
0	16

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cos y) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

70.0ms	(* (cos y) (+ (exp x) (exp (- x))))
18.0ms	(+ (exp x) (exp (- x)))

series142.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(* (cos y) (+ (exp x) (exp (- x))))
45.0ms	(+ (exp x) (exp (- x)))

simplify626.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	1095
1	210
0	73

prune261.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp x) (cos y))
0.0b	(+ (* (exp x) (cos y)) (/ (cos y) (exp x)))
0.0b	(/ (cos y) (exp x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

11.0ms	(* (exp x) (cos y))
27.0ms	(+ (* (exp x) (cos y)) (/ (cos y) (exp x)))
9.0ms	(/ (cos y) (exp x))

series234.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* (exp x) (cos y))
120.0ms	(+ (* (exp x) (cos y)) (/ (cos y) (exp x)))
52.0ms	(/ (cos y) (exp x))

simplify1.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	1026
1	235
0	97

prune328.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos y) (+ (+ (* 1/12 (pow x 4)) 2) (pow x 2)))
0.0b	(+ (+ (* 1/12 (pow x 4)) 2) (pow x 2))
0.1b	(* 1/12 (pow x 4))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`associate-r`
10×	`add-exp-log`
8×	`add-cube-cbrt` `add-log-exp`
7×	`add-cbrt-cube`
6×	`associate-l`
5×	`pow1`
4×	`unpow-prod-down` `prod-exp` `unswap-sqr`
3×	`sum-log`
2×	`flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `+-commutative` `associate-+l+` `distribute-lft-in` `pow-prod-down` `pow-exp`

Counts

3 → 62

Calls

3 calls:

153.0ms	(* (cos y) (+ (+ (* 1/12 (pow x 4)) 2) (pow x 2)))
46.0ms	(+ (+ (* 1/12 (pow x 4)) 2) (pow x 2))
10.0ms	(* 1/12 (pow x 4))

series289.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(* (cos y) (+ (+ (* 1/12 (pow x 4)) 2) (pow x 2)))
70.0ms	(+ (+ (* 1/12 (pow x 4)) 2) (pow x 2))
75.0ms	(* 1/12 (pow x 4))

simplify934.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1820
1	317
0	116

prune341.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end2.0ms

sample7.3s

Algorithm: halfpoints