Details

sample473.0ms

Algorithm: halfpoints

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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	608	11
8	1105	11
9	1521	11
10	1855	11
11	1939	11
12	1959	11
done	1959	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.2b

localize63.0ms

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))
58.0b	(- (exp x) (exp (- x)))

rewrite177.0ms

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:

13.0ms	(+ (exp x) (exp (- x)))
65.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
72.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
22.0ms	(- (exp x) (exp (- x)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (exp x) (exp (- x)))
76.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
120.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
55.0ms	(- (exp x) (exp (- x)))

simplify1.6s

Counts

134 → 134

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	232	1903
1	565	1734
2	1580	1486
done	5000	1429

prune658.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize106.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`-un-lft-identity` `associate-l*`
23×	`times-frac`
21×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 88

Calls

3 calls:

26.0ms	(+ (exp x) (exp (- x)))
71.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series248.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp x) (exp (- x)))
80.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
141.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify3.0s

Counts

97 → 97

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	189	1578
1	465	1554
2	1335	1353
3	4280	1347
done	5000	1346

prune870.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
0.4b	(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
1.0b	(/ 1 (sqrt 2.0))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
69×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `*-un-lft-identity`
54×	`add-exp-log`
44×	`associate-l`
43×	`sqrt-prod`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-/l*`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-*r/` `inv-pow`

Counts

4 → 188

Calls

4 calls:

27.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
71.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
17.0ms	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
7.0ms	(/ 1 (sqrt 2.0))

series779.0ms

Counts

4 → 10

Calls

4 calls:

277.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
302.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
200.0ms	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))

simplify1.4s

Counts

198 → 198

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	254	4584
1	601	4231
2	1984	3619
done	5001	3595

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize120.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.3b	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
0.4b	(* (pow 2.0 -1/2) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
51×	`times-frac`
50×	`*-un-lft-identity`
45×	`associate-l`
44×	`add-cube-cbrt`
40×	`add-exp-log`
25×	`add-cbrt-cube`
22×	`sqrt-prod`
19×	`prod-exp`
9×	`cbrt-unprod`
8×	`pow1`
7×	`associate-r`
6×	`div-exp` `associate-/r*`
5×	`unswap-sqr`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `associate-l/` `pow-exp` `-commutative` `div-inv` `distribute-lft-out` `associate-/l*`
2×	`pow-prod-down`
1×	`frac-2neg` `associate-*r/` `clear-num` `sqr-pow`

Counts

4 → 153

Calls

4 calls:

95.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
25.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
52.0ms	(* (pow 2.0 -1/2) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
13.0ms	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))

series788.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
208.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
327.0ms	(* (pow 2.0 -1/2) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
161.0ms	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))

simplify1.5s

Counts

165 → 165

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	291	3948
1	705	3843
2	2263	3447
done	5001	3446

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	31
1	29	31
done	29	31

end0.0ms

sample12.0s

Algorithm: halfpoints