Details

sample158.0ms

Algorithm: halfpoints

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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))
17.3b	(- (exp x) (exp (- x)))

rewrite439.0ms

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:

66.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
352.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.0ms	(- (exp x) (exp (- x)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
100.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (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

prune414.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.3b	(- (exp x) (exp (- x)))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
41×	`times-frac`
38×	`add-cube-cbrt` `associate-l`
32×	`sqrt-prod`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
9×	`prod-diff`
6×	`distribute-lft-out` `add-log-exp`
5×	`sqrt-div` `prod-exp` `cbrt-unprod`
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×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `frac-times` `sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `associate-*r/` `div-exp` `flip--`

Counts

4 → 137

Calls

4 calls:

29.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
122.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
60.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.0ms	(- (exp x) (exp (- x)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
176.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
108.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
47.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

149 → 149

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	280	2745
1	670	2271
2	2783	1972
done	5000	1949

prune694.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.3b	(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))) (sqrt 2.0))
17.3b	(- (exp x) (exp (- x)))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
27×	`add-cube-cbrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`times-frac`
14×	`sqrt-div`
11×	`pow1` `associate-*l/`
10×	`sqrt-prod`
9×	`prod-diff`
8×	`prod-exp` `cbrt-unprod`
6×	`associate-/r*` `add-log-exp`
5×	`associate-/l/`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `flip3-+` `div-exp` `associate-r` `pow-prod-down` `flip-+` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg`
2×	`associate-r/` `-commutative` `div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--` `distribute-lft-out` `associate-/l*`

Counts

4 → 133

Calls

4 calls:

78.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
126.0ms	(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
103.0ms	(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))) (sqrt 2.0))
29.0ms	(- (exp x) (exp (- x)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
138.0ms	(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
216.0ms	(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))) (sqrt 2.0))
59.0ms	(- (exp x) (exp (- x)))

simplify1.9s

Counts

145 → 145

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	274	3065
1	695	2749
2	3335	2368
done	5001	2339

prune916.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (3.0ms)

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

end0.0ms

sample5.4s

Algorithm: halfpoints