Details

sample201.0ms

Algorithm: halfpoints

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	128	11
5	247	11
6	1038	11
done	5000	11

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
14.4b	(- (exp x) (exp (- x)))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

84.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
119.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
31.0ms	(- (exp x) (exp (- x)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
100.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
63.0ms	(- (exp x) (exp (- x)))

simplify1.8s

Counts

114 → 114

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	218	1732
1	558	1576
2	2728	1352
done	5000	1294

prune498.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
0.0b	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
14.4b	(- (exp x) (exp (- x)))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

112×	`*-un-lft-identity`
100×	`times-frac`
97×	`sqrt-prod`
91×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
65×	`associate-l`
32×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out`
12×	`prod-exp` `cbrt-unprod`
11×	`pow1`
9×	`prod-diff`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `div-inv`
2×	`sqrt-div` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-times` `sub-neg` `sqrt-undiv` `flip3--` `frac-2neg` `flip3-+` `diff-log` `associate-*r/` `clear-num` `flip--` `flip-+`

Counts

4 → 214

Calls

4 calls:

43.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
146.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
64.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
25.0ms	(- (exp x) (exp (- x)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
166.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
106.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
50.0ms	(- (exp x) (exp (- x)))

simplify1.9s

Counts

226 → 226

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	330	4853
1	850	4457
2	4090	3945
done	5000	3935

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
14.4b	(- (exp x) (exp (- x)))

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
71×	`times-frac`
65×	`associate-l`
61×	`sqrt-prod`
56×	`add-cube-cbrt`
21×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
9×	`prod-diff` `distribute-lft-out`
8×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `fma-neg` `sqrt-div` `div-exp` `div-inv`
2×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`frac-times` `sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `associate-*r/` `flip--`

Counts

4 → 168

Calls

4 calls:

36.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
175.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
95.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.0ms	(- (exp x) (exp (- x)))

series555.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
224.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
110.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
82.0ms	(- (exp x) (exp (- x)))

simplify2.0s

Counts

180 → 180

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	326	3644
1	805	3364
2	3320	3023
done	5002	2992

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	19	24
done	19	24

end0.0ms

sample7.5s

Algorithm: halfpoints