Details

sample140.0ms

Algorithm: halfpoints

simplify55.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.6b	(- (exp x) (exp (- x)))

rewrite147.0ms

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-exp-log` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `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` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

4 → 99

Calls

4 calls:

53.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
15.0ms	(+ (exp x) (exp (- x)))
52.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
24.0ms	(- (exp x) (exp (- x)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
25.0ms	(+ (exp x) (exp (- x)))
94.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify46.0ms

Counts: 111 → 111

prune418.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.4b	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.4b	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
17.6b	(- (exp x) (exp (- x)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 44

Calls

4 calls:

15.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
15.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
15.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
23.0ms	(- (exp x) (exp (- x)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
161.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
164.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
45.0ms	(- (exp x) (exp (- x)))

simplify65.0ms

Counts: 56 → 56

prune276.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.3b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
0.7b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
17.6b	(- (exp x) (exp (- x)))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

69×	`associate-l`
64×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
60×	`times-frac`
44×	`add-exp-log`
43×	`add-cube-cbrt`
35×	`add-cbrt-cube`
25×	`sqrt-prod`
19×	`prod-exp`
14×	`cbrt-unprod`
13×	`pow1`
11×	`div-exp`
7×	`cbrt-undiv` `associate-r`
6×	`distribute-lft-out` `add-log-exp`
5×	`pow-prod-down` `associate-*l/` `unswap-sqr`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `flip--`

Counts

4 → 151

Calls

4 calls:

53.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
109.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
20.0ms	(- (exp x) (exp (- x)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
109.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
65.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
46.0ms	(- (exp x) (exp (- x)))

simplify85.0ms

Counts: 163 → 163

prune575.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt (+ (exp x) (exp (- x))))
17.6b	(- (exp x) (exp (- x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

9.0ms	(cbrt (+ (exp x) (exp (- x))))
9.0ms	(cbrt (+ (exp x) (exp (- x))))
9.0ms	(cbrt (+ (exp x) (exp (- x))))
20.0ms	(- (exp x) (exp (- x)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (+ (exp x) (exp (- x))))
150.0ms	(cbrt (+ (exp x) (exp (- x))))
147.0ms	(cbrt (+ (exp x) (exp (- x))))
51.0ms	(- (exp x) (exp (- x)))

simplify71.0ms

Counts: 68 → 68

prune323.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.7s

Algorithm: halfpoints