Details

sample575.0ms

Algorithm: halfpoints

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1025
5	247
4	128
3	83
2	48
1	30
0	16

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize56.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- (exp x) (exp (- x))) (/ (sin y) 2.0))
57.8b	(- (exp x) (exp (- x)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`associate-r`
10×	`times-frac`
9×	`prod-diff`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`flip3--` `fma-neg` `flip--`
2×	`expm1-log1p-u` `frac-times` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv`

Counts

2 → 68

Calls

2 calls:

55.0ms	(* (- (exp x) (exp (- x))) (/ (sin y) 2.0))
17.0ms	(- (exp x) (exp (- x)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(* (- (exp x) (exp (- x))) (/ (sin y) 2.0))
50.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1901
1	369
0	151

prune360.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 1/60 (pow x 5))
0.1b	(* (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (/ (sin y) 2.0))
0.1b	(fma 1/3 (pow x 3) (* 1/60 (pow x 5)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`associate-r`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-exp-log`
10×	`times-frac` `add-cbrt-cube`
6×	`associate-l`
5×	`pow1` `prod-exp` `unswap-sqr`
4×	`unpow-prod-down`
3×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `div-exp` `pow-prod-down` `pow-exp` `associate-*r/` `fma-udef` `div-inv`

Counts

3 → 71

Calls

3 calls:

17.0ms	(* 1/60 (pow x 5))
30.0ms	(* (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (/ (sin y) 2.0))
1.0ms	(fma 1/3 (pow x 3) (* 1/60 (pow x 5)))

series334.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* 1/60 (pow x 5))
100.0ms	(* (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (/ (sin y) 2.0))
169.0ms	(fma 1/3 (pow x 3) (* 1/60 (pow x 5)))

simplify874.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1444
1	334
0	147

prune614.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (pow x 5) 1/60 (* (pow x 3) 1/3))
0.1b	(/ 2.0 (sin y))
0.1b	(* (pow x 3) 1/3)
0.2b	(/ (fma x 2 (fma (pow x 5) 1/60 (* (pow x 3) 1/3))) (/ 2.0 (sin y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
65×	`add-sqr-sqrt`
58×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*` `add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-l`
6×	`div-inv` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `unpow-prod-down` `cube-prod` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`clear-num` `frac-2neg` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 144

Calls

4 calls:

0.0ms	(fma (pow x 5) 1/60 (* (pow x 3) 1/3))
5.0ms	(/ 2.0 (sin y))
11.0ms	(* (pow x 3) 1/3)
9.0ms	(/ (fma x 2 (fma (pow x 5) 1/60 (* (pow x 3) 1/3))) (/ 2.0 (sin y)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(fma (pow x 5) 1/60 (* (pow x 3) 1/3))
34.0ms	(/ 2.0 (sin y))
65.0ms	(* (pow x 3) 1/3)
133.0ms	(/ (fma x 2 (fma (pow x 5) 1/60 (* (pow x 3) 1/3))) (/ 2.0 (sin y)))

simplify1.4s

Counts

156 → 156

Iterations

Iter	Nodes
done	5003
2	2613
1	573
0	248

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 3) 1/3)
0.3b	(* (/ (fma x 2 (fma (pow x 5) 1/60 (* (pow x 3) 1/3))) (sqrt 2.0)) (/ (sin y) (sqrt 2.0)))
0.4b	(/ (sin y) (sqrt 2.0))
0.4b	(/ (fma x 2 (fma (pow x 5) 1/60 (* (pow x 3) 1/3))) (sqrt 2.0))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
84×	`times-frac`
64×	`*-un-lft-identity` `add-cube-cbrt`
48×	`sqrt-prod`
34×	`associate-l`
25×	`associate-r` `add-exp-log`
22×	`add-cbrt-cube`
13×	`unswap-sqr`
12×	`associate-/r*`
7×	`prod-exp`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `sqr-pow`
1×	`cube-mult` `frac-times` `pow-to-exp` `unpow3` `pow-prod-down` `associate-l/` `pow-exp` `associate-r/`

Counts

4 → 190

Calls

4 calls:

13.0ms	(* (pow x 3) 1/3)
69.0ms	(* (/ (fma x 2 (fma (pow x 5) 1/60 (* (pow x 3) 1/3))) (sqrt 2.0)) (/ (sin y) (sqrt 2.0)))
13.0ms	(/ (sin y) (sqrt 2.0))
5.0ms	(/ (fma x 2 (fma (pow x 5) 1/60 (* (pow x 3) 1/3))) (sqrt 2.0))

series532.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (pow x 3) 1/3)
252.0ms	(* (/ (fma x 2 (fma (pow x 5) 1/60 (* (pow x 3) 1/3))) (sqrt 2.0)) (/ (sin y) (sqrt 2.0)))
95.0ms	(/ (sin y) (sqrt 2.0))
143.0ms	(/ (fma x 2 (fma (pow x 5) 1/60 (* (pow x 3) 1/3))) (sqrt 2.0))

simplify1.7s

Counts

202 → 202

Iterations

Iter	Nodes
done	5001
2	3896
1	698
0	267

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample13.5s

Algorithm: halfpoints