Details

sample176.0ms

Algorithm: halfpoints

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
9	2101
8	1767
7	1079
6	419
5	178
4	114
3	80
2	48
1	30
0	16

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
18.2b	(- (exp x) (exp (- x)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
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 → 103

Calls

4 calls:

9.0ms	(+ (exp x) (exp (- x)))
44.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
36.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
18.0ms	(- (exp x) (exp (- x)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (exp x) (exp (- x)))
77.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
101.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
39.0ms	(- (exp x) (exp (- x)))

simplify1.7s

Counts

115 → 115

Iterations

Iter	Nodes
3	4921
2	1612
1	516
0	200

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
18.2b	(- (/ 1 (* (exp x) (exp x))) 1)
18.2b	(- (exp x) (exp (- x)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`times-frac` `associate-l`
18×	`exp-prod`
13×	`pow1`
11×	`add-cbrt-cube`
10×	`difference-of-squares`
9×	`add-exp-log`
8×	`add-log-exp`
6×	`associate-r` `distribute-lft-out--`
5×	`pow-prod-down`
4×	`pow-sqr` `pow-prod-up` `insert-posit16`
3×	`difference-of-sqr-1` `swap-sqr` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`sub-neg` `flip3--` `diff-log` `*-commutative` `div-inv` `flip--`
1×	`pow2` `cbrt-undiv` `pow-plus` `div-exp` `associate-*l/`

Counts

4 → 113

Calls

4 calls:

23.0ms	(* (exp x) (exp x))
38.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
44.0ms	(- (/ 1 (* (exp x) (exp x))) 1)
10.0ms	(- (exp x) (exp (- x)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (exp x) (exp x))
82.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
34.0ms	(- (/ 1 (* (exp x) (exp x))) 1)
49.0ms	(- (exp x) (exp (- x)))

simplify1.9s

Counts

125 → 125

Iterations

Iter	Nodes
3	4302
2	1383
1	508
0	204

prune2.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.1b	(* (* (/ (+ (exp x) (exp (- x))) 2) (sqrt (cos y))) (sqrt (cos y)))
18.2b	(- (exp x) (exp (- x)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`associate-l`
18×	`add-cbrt-cube` `add-exp-log`
17×	`add-cube-cbrt`
16×	`times-frac`
12×	`pow1`
9×	`associate-r`
7×	`prod-exp` `cbrt-unprod`
6×	`sqrt-prod` `add-log-exp`
4×	`pow-prod-down` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`associate-*l/`
2×	`cbrt-undiv` `div-exp` `*-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `div-inv` `flip--`

Counts

4 → 93

Calls

4 calls:

1.0ms	(sqrt (cos y))
57.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
69.0ms	(* (* (/ (+ (exp x) (exp (- x))) 2) (sqrt (cos y))) (sqrt (cos y)))
10.0ms	(- (exp x) (exp (- x)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(sqrt (cos y))
113.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
61.0ms	(* (* (/ (+ (exp x) (exp (- x))) 2) (sqrt (cos y))) (sqrt (cos y)))
44.0ms	(- (exp x) (exp (- x)))

simplify3.0s

Counts

105 → 105

Iterations

Iter	Nodes
3	6704
2	1790
1	509
0	192

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	19
1	19
0	16

end0.0ms

sample6.4s

Algorithm: halfpoints