Details

sample182.0ms

Algorithm: halfpoints

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
8	2386
7	1271
6	477
5	195
4	123
3	78
2	46
1	30
0	16

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (cos y) (exp x) (/ (cos y) (exp x)))
0.0b	(/ (cos y) (exp x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

0.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))
17.0ms	(/ (cos y) (exp x))

series122.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))
40.0ms	(/ (cos y) (exp x))

simplify975.0ms

Counts

47 → 47

Iterations

Iter	Nodes
4	2979
3	933
2	350
1	140
0	76

prune358.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
32.5b	(- (exp x) (exp (- x)))

rewrite437.0ms

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-cbrt-cube` `add-exp-log`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `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` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 126

Calls

4 calls:

20.0ms	(+ (exp x) (exp (- x)))
36.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
366.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
13.0ms	(- (exp x) (exp (- x)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (exp x) (exp (- x)))
73.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
105.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
53.0ms	(- (exp x) (exp (- x)))

simplify3.6s

Counts

138 → 138

Iterations

Iter	Nodes
3	5525
2	1754
1	580
0	232

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (cos y) (exp x) (/ 1 (/ (exp x) (cos y))))
0.1b	(/ (exp x) (cos y))
0.2b	(/ 1 (/ (exp x) (cos y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`associate-/r/` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 120

Calls

3 calls:

0.0ms	(fma (cos y) (exp x) (/ 1 (/ (exp x) (cos y))))
7.0ms	(/ (exp x) (cos y))
9.0ms	(/ 1 (/ (exp x) (cos y)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(fma (cos y) (exp x) (/ 1 (/ (exp x) (cos y))))
50.0ms	(/ (exp x) (cos y))
56.0ms	(/ 1 (/ (exp x) (cos y)))

simplify2.8s

Counts

129 → 129

Iterations

Iter	Nodes
3	2073
2	850
1	408
0	177

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	19
1	19
0	16

end0.0ms

sample5.9s

Algorithm: halfpoints