Details

sample251.0ms

Algorithm: halfpoints

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3146
7	1368
6	485
5	198
4	122
3	79
2	48
1	30
0	16

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
29.9b	(- (exp x) (exp (- x)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
35×	`associate-l`
31×	`add-cube-cbrt`
29×	`times-frac`
14×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-def` `fma-neg`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 122

Calls

4 calls:

55.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
10.0ms	(+ (exp x) (exp (- x)))
59.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.0ms	(- (exp x) (exp (- x)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
43.0ms	(+ (exp x) (exp (- x)))
113.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
42.0ms	(- (exp x) (exp (- x)))

simplify1.7s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	1905
1	581
0	231

prune911.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (exp x) (cos y) (/ (cos y) (exp x)))
0.0b	(/ (cos y) (exp x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (exp x) (cos y) (/ (cos y) (exp x)))
8.0ms	(/ (cos y) (exp x))

series201.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(fma (exp x) (cos y) (/ (cos y) (exp x)))
57.0ms	(/ (cos y) (exp x))

simplify2.2s

Counts

45 → 45

Iterations

Iter	Nodes
done	5017
4	3106
3	977
2	361
1	137
0	73

prune278.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize97.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
29.9b	(- (exp x) (exp (- x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`cbrt-prod` `prod-diff`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`fma-neg` `pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
25.0ms	(- (exp x) (exp (- x)))

series45.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
45.0ms	(- (exp x) (exp (- x)))

simplify3.6s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
4	4559
3	1149
2	430
1	192
0	93

prune554.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes81.0ms

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	8
0	8

end0.0ms

sample7.0s

Algorithm: halfpoints