Details

sample227.0ms

Algorithm: halfpoints

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	128	11
5	247	11
6	1038	11
done	5000	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.3b	(- (exp x) (exp (- x)))

rewrite176.0ms

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:

19.0ms	(+ (exp x) (exp (- x)))
65.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
68.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.0ms	(- (exp x) (exp (- x)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (exp x) (exp (- x)))
63.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
95.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
50.0ms	(- (exp x) (exp (- x)))

simplify2.2s

Counts

134 → 134

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	232	1903
1	591	1737
2	2783	1490
done	5000	1430

prune629.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.3b	(- (exp x) (exp (- x)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
32×	`associate-l`
28×	`add-cube-cbrt`
26×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
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` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 102

Calls

3 calls:

17.0ms	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
75.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
28.0ms	(- (exp x) (exp (- x)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
126.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify1.6s

Counts

111 → 111

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	225	1831
1	555	1674
2	2585	1424
done	5001	1364

prune721.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) 2.0) (cos y))
0.7b	(* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) 1) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) 2.0) (cos y)))
17.3b	(- (exp x) (exp (- x)))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
63×	`associate-l`
56×	`*-un-lft-identity`
54×	`times-frac`
48×	`add-cube-cbrt`
44×	`add-exp-log`
35×	`add-cbrt-cube`
19×	`prod-exp` `sqrt-prod`
14×	`cbrt-unprod`
13×	`pow1`
11×	`div-exp`
9×	`prod-diff`
7×	`cbrt-undiv` `associate-r`
6×	`add-log-exp`
5×	`pow-prod-down` `associate-*l/` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `flip--`

Counts

4 → 165

Calls

4 calls:

83.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
45.0ms	(* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) 2.0) (cos y))
72.0ms	(* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) 1) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) 2.0) (cos y)))
16.0ms	(- (exp x) (exp (- x)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
152.0ms	(* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) 2.0) (cos y))
118.0ms	(* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) 1) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) 2.0) (cos y)))
43.0ms	(- (exp x) (exp (- x)))

simplify3.0s

Counts

177 → 177

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	320	4054
1	868	3615
2	4894	2649
done	5000	2649

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	24
1	19	24
done	19	24

end0.0ms

sample7.3s

Algorithm: halfpoints