Details

sample233.0ms

Algorithm: halfpoints

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	127	11
5	200	11
6	373	11
7	614	11
8	1106	11
9	1516	11
10	1847	11
11	1933	11
12	1953	11
done	1953	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.1b	(- (exp x) (exp (- x)))

rewrite188.0ms

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))
64.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
34.0ms	(- (exp x) (exp (- x)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
110.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
46.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts

114 → 114

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	218	1732
1	532	1573
2	1512	1344
done	5000	1289

prune500.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.6b	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
19.1b	(- (exp x) (exp (- x)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

60.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.0ms	(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.0ms	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
17.0ms	(- (exp x) (exp (- x)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
110.0ms	(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
111.0ms	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
43.0ms	(- (exp x) (exp (- x)))

simplify2.9s

Counts

102 → 102

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	196	1593
1	448	1408
2	1199	1199
3	4395	1140
done	5000	1140

prune476.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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

sample5.1s

Algorithm: halfpoints