Details

sample200.0ms

Algorithm: halfpoints

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
8	2001
7	1388
6	476
5	196
4	124
3	80
2	48
1	30
0	16

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite19.0ms

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))

series131.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))
56.0ms	(/ (cos y) (exp x))

simplify986.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	2014
4	2014
3	1015
2	363
1	142
0	76

prune236.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
15.2b	(- (exp x) (exp (- x)))

rewrite127.0ms

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:

17.0ms	(+ (exp x) (exp (- x)))
55.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
38.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
14.0ms	(- (exp x) (exp (- x)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (exp x) (exp (- x)))
71.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
105.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
69.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

138 → 138

Iterations

Iter	Nodes
done	2000
3	2000
2	1872
1	582
0	232

prune783.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
0.0b	(* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
15.2b	(- (exp x) (exp (- x)))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
33×	`flip3-+` `flip-+`
32×	`frac-times`
26×	`cbrt-div`
25×	`add-cube-cbrt`
23×	`associate-l`
17×	`associate-*l/`
16×	`times-frac`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-*r/`
9×	`prod-diff`
7×	`associate-r`
6×	`swap-sqr` `distribute-lft-out` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`pow-prod-down` `*-commutative`
1×	`cbrt-prod` `pow2` `distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `pow-plus` `flip3--` `pow1/3` `diff-log` `div-exp` `pow3` `pow-sqr` `pow-prod-up` `rem-cbrt-cube` `div-inv` `flip--`

Counts

4 → 152

Calls

4 calls:

104.0ms	(cbrt (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
77.0ms	(* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
48.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
12.0ms	(- (exp x) (exp (- x)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
43.0ms	(* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
87.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
59.0ms	(- (exp x) (exp (- x)))

simplify1.2s

Counts

164 → 164

Iterations

Iter	Nodes
done	2002
2	2002
1	881
0	291

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (cos y) (exp x) (expm1 (log1p (/ (cos y) (exp x)))))
0.0b	(/ (cos y) (exp x))
0.2b	(expm1 (log1p (/ (cos y) (exp x))))
0.3b	(log1p (/ (cos y) (exp x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma (cos y) (exp x) (expm1 (log1p (/ (cos y) (exp x)))))
16.0ms	(/ (cos y) (exp x))
0.0ms	(expm1 (log1p (/ (cos y) (exp x))))
1.0ms	(log1p (/ (cos y) (exp x)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(fma (cos y) (exp x) (expm1 (log1p (/ (cos y) (exp x)))))
34.0ms	(/ (cos y) (exp x))
71.0ms	(expm1 (log1p (/ (cos y) (exp x))))
87.0ms	(log1p (/ (cos y) (exp x)))

simplify934.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	2002
4	2002
3	1083
2	438
1	187
0	105

prune399.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample5.4s

Algorithm: halfpoints