Details

sample184.0ms

Algorithm: halfpoints

simplify5.2s

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	127	11
5	200	11
6	373	11
7	614	11
8	1106	11
9	1516	11
10	1847	11
11	1933	11
12	1953	11
done	1953	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))
19.5b	(- (exp x) (exp (- x)))

rewrite185.0ms

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:

55.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
13.0ms	(+ (exp x) (exp (- x)))
77.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
34.0ms	(- (exp x) (exp (- x)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
35.0ms	(+ (exp x) (exp (- x)))
98.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts

134 → 134

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	232	1903
1	565	1734
2	1576	1486
done	5001	1429

prune657.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (fma 1/12 (pow x 4) 2))
0.0b	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.5b	(- (exp x) (exp (- x)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
32×	`associate-l`
29×	`add-cube-cbrt`
26×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
8×	`pow1`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-neg`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

4 → 112

Calls

4 calls:

1.0ms	(fma x x (fma 1/12 (pow x 4) 2))
33.0ms	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
113.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
32.0ms	(- (exp x) (exp (- x)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma x x (fma 1/12 (pow x 4) 2))
94.0ms	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
103.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
73.0ms	(- (exp x) (exp (- x)))

simplify1.6s

Counts

124 → 124

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	233	1987
1	543	1821
2	1511	1552
done	5001	1495

prune754.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
19.5b	(- (exp x) (exp (- x)))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1`
40×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
30×	`sqrt-pow1`
25×	`add-cube-cbrt`
23×	`associate-l`
22×	`pow-prod-down`
16×	`times-frac`
11×	`add-exp-log` `pow1/2` `add-cbrt-cube`
10×	`pow-prod-up`
9×	`prod-diff`
7×	`associate-r` `associate-*l/`
6×	`pow-sqr` `add-log-exp`
5×	`sqrt-div` `sqrt-prod`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`*-commutative`
1×	`cbrt-undiv` `pow2` `frac-times` `sub-neg` `flip3--` `pow-plus` `sqrt-unprod` `diff-log` `associate-*r/` `div-exp` `rem-square-sqrt` `flip--` `div-inv`

Counts

4 → 136

Calls

4 calls:

26.0ms	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
56.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
169.0ms	(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
23.0ms	(- (exp x) (exp (- x)))

series572.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
117.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
190.0ms	(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
66.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts

148 → 148

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	233	2624
1	524	2017
2	1544	1739
done	5001	1610

prune577.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes115.0ms

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

sample6.8s

Algorithm: halfpoints