Details

sample97.0ms

Algorithm: halfpoints

simplify34.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	46	11
3	83	11
4	130	11
5	221	11
6	452	11
7	982	11
8	1652	11
9	3943	11
done	5000	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))
14.1b	(- (exp x) (exp (- x)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
35×	`associate-l`
31×	`add-cube-cbrt`
29×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-def` `fma-neg`
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 → 122

Calls

4 calls:

31.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
6.0ms	(+ (exp x) (exp (- x)))
29.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
8.0ms	(- (exp x) (exp (- x)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
26.0ms	(+ (exp x) (exp (- x)))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify788.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (182.0ms)

Iter	Nodes	Cost
0	232	1903
1	587	1734
2	1980	1486
done	5000	1486

prune405.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.4b	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
0.4b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
14.1b	(- (exp x) (exp (- x)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `prod-diff`
8×	`cbrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `fma-neg` `associate-r` `associate-*l/` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `flip3--` `pow1/3` `diff-log` `*-commutative` `flip--` `rem-cbrt-cube` `div-inv`

Counts

4 → 115

Calls

4 calls:

30.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
2.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
10.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
8.0ms	(- (exp x) (exp (- x)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
84.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
36.0ms	(- (exp x) (exp (- x)))

simplify731.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	227	2054
1	568	1763
2	1954	1532
done	5000	1532

prune419.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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

sample1.9s

Algorithm: halfpoints