Details

sample413.0ms

Algorithm: halfpoints

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	7333
7	2338
6	741
5	232
4	129
3	84
2	48
1	30
0	16

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.2b

localize135.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.1b	(- (exp x) (exp (- x)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
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` `insert-posit16` `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 → 108

Calls

3 calls:

55.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
75.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
24.0ms	(- (exp x) (exp (- x)))

series245.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
114.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
47.0ms	(- (exp x) (exp (- x)))

simplify1.6s

Counts

117 → 117

Iterations

Iter	Nodes
done	5002
2	1895
1	545
0	217

prune828.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize87.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (pow x 5) 1/60 (* x (+ (* (* x x) 1/3) 2)))
0.0b	(* x (+ (* (* x x) 1/3) 2))
0.1b	(* (/ (fma (pow x 5) 1/60 (* x (+ (* (* x x) 1/3) 2))) 2) (sin y))
0.2b	(* (* x x) 1/3)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
17×	`associate-l`
16×	`add-cbrt-cube` `add-exp-log`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow1`
10×	`times-frac`
9×	`associate-r`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`associate-*r/`
1×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `associate-*l/` `flip-+` `fma-udef` `div-inv`

Counts

4 → 93

Calls

4 calls:

0.0ms	(fma (pow x 5) 1/60 (* x (+ (* (* x x) 1/3) 2)))
48.0ms	(* x (+ (* (* x x) 1/3) 2))
12.0ms	(* (/ (fma (pow x 5) 1/60 (* x (+ (* (* x x) 1/3) 2))) 2) (sin y))
14.0ms	(* (* x x) 1/3)

series324.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma (pow x 5) 1/60 (* x (+ (* (* x x) 1/3) 2)))
111.0ms	(* x (+ (* (* x x) 1/3) 2))
103.0ms	(* (/ (fma (pow x 5) 1/60 (* x (+ (* (* x x) 1/3) 2))) 2) (sin y))
29.0ms	(* (* x x) 1/3)

simplify1.8s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1704
1	460
0	170

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (pow x 5) 1/60 (+ (* (* (* x x) 1/3) x) (* 2 x)))
0.1b	(* (* (* x x) 1/3) x)
0.1b	(* (/ (fma (pow x 5) 1/60 (+ (* (* (* x x) 1/3) x) (* 2 x))) 2) (sin y))
0.2b	(* (* x x) 1/3)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt` `pow1`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
11×	`prod-exp` `cbrt-unprod`
10×	`times-frac` `pow-prod-down`
9×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `fma-udef` `div-inv`

Counts

4 → 92

Calls

4 calls:

0.0ms	(fma (pow x 5) 1/60 (+ (* (* (* x x) 1/3) x) (* 2 x)))
54.0ms	(* (* (* x x) 1/3) x)
12.0ms	(* (/ (fma (pow x 5) 1/60 (+ (* (* (* x x) 1/3) x) (* 2 x))) 2) (sin y))
15.0ms	(* (* x x) 1/3)

series337.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(fma (pow x 5) 1/60 (+ (* (* (* x x) 1/3) x) (* 2 x)))
56.0ms	(* (* (* x x) 1/3) x)
135.0ms	(* (/ (fma (pow x 5) 1/60 (+ (* (* (* x x) 1/3) x) (* 2 x))) 2) (sin y))
53.0ms	(* (* x x) 1/3)

simplify1.8s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1502
1	390
0	157

prune807.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* x x) 1/3 2)
0.0b	(* x (fma (* x x) 1/3 2))
0.1b	(/ 2 (sin y))
0.2b	(/ (fma 1/60 (pow x 5) (* x (fma (* x x) 1/3 2))) (/ 2 (sin y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
13×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `div-inv` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `fma-udef`
2×	`clear-num` `frac-2neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

0.0ms	(fma (* x x) 1/3 2)
6.0ms	(* x (fma (* x x) 1/3 2))
5.0ms	(/ 2 (sin y))
8.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* x x) 1/3 2))) (/ 2 (sin y)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(fma (* x x) 1/3 2)
114.0ms	(* x (fma (* x x) 1/3 2))
30.0ms	(/ 2 (sin y))
110.0ms	(/ (fma 1/60 (pow x 5) (* x (fma (* x x) 1/3 2))) (/ 2 (sin y)))

simplify1.8s

Counts

149 → 149

Iterations

Iter	Nodes
done	5003
2	1839
1	548
0	231

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	32
1	32
0	25

end0.0ms

sample12.5s

Algorithm: halfpoints