Details

sample295.0ms

Algorithm

intervals

Results

122.0ms	88×	body	1280	valid
66.0ms	67×	body	80	valid
52.0ms	57×	body	640	valid
21.0ms	26×	body	320	valid
7.0ms	18×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3399
3	699
2	192
1	74
0	32

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize95.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) (fma (/ (cos y) 2.0) (- 3.0 (sqrt 5.0)) 1.0))
0.4b	(* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0))
1.0b	(- 3.0 (sqrt 5.0))
1.9b	(- (cos x) (cos y))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
27×	`prod-diff` `add-cube-cbrt`
14×	`sqrt-prod`
8×	`add-log-exp`
6×	`pow1` `add-cbrt-cube` `fma-neg` `associate-r` `associate-l` `add-exp-log`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `flip--` `distribute-lft-out--`
2×	`sub-neg` `diff-log` `associate-*l/` `unswap-sqr`
1×	`times-frac` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `diff-cos`

Counts

4 → 106

Calls

4 calls:

0.0ms	(fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) (fma (/ (cos y) 2.0) (- 3.0 (sqrt 5.0)) 1.0))
85.0ms	(* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0))
7.0ms	(- 3.0 (sqrt 5.0))
7.0ms	(- (cos x) (cos y))

series391.0ms

Counts

4 → 10

Calls

4 calls:

203.0ms	(fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) (fma (/ (cos y) 2.0) (- 3.0 (sqrt 5.0)) 1.0))
114.0ms	(* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0))
0.0ms	(- 3.0 (sqrt 5.0))
74.0ms	(- (cos x) (cos y))

simplify1.4s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	2204
1	596
0	267

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize125.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
0.6b	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.9b	(- (cos x) (cos y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`prod-diff`
24×	`add-cube-cbrt`
10×	`sqrt-prod`
8×	`add-log-exp`
6×	`fma-neg`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `log1p-expm1-u` `flip--`
3×	`difference-of-squares`
2×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `distribute-lft-out--`
1×	`diff-cos`

Counts

4 → 93

Calls

4 calls:

15.0ms	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
13.0ms	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
7.0ms	(- 3.0 (sqrt 5.0))
7.0ms	(- (cos x) (cos y))

series653.0ms

Counts

4 → 10

Calls

4 calls:

312.0ms	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
284.0ms	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
0.0ms	(- 3.0 (sqrt 5.0))
57.0ms	(- (cos x) (cos y))

simplify1.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1440
1	470
0	214

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize154.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
0.6b	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.9b	(fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (cos y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
10×	`sqrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `associate-*l/` `add-exp-log` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `flip--`
2×	`cbrt-prod` `pow1/3` `difference-of-squares`
1×	`sub-neg` `diff-log` `fma-udef` `distribute-lft-out--`

Counts

4 → 74

Calls

4 calls:

24.0ms	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
21.0ms	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
9.0ms	(- 3.0 (sqrt 5.0))
0.0ms	(fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (cos y)))

series778.0ms

Counts

4 → 10

Calls

4 calls:

245.0ms	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
285.0ms	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
0.0ms	(- 3.0 (sqrt 5.0))
249.0ms	(fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (cos y)))

simplify2.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	4442
2	998
1	363
0	170

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize219.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
0.6b	(cbrt (- (sin y) (/ (sin x) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.9b	(fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (cos y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
10×	`sqrt-prod`
7×	`cbrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `difference-of-squares`
3×	`flip3--` `fma-neg` `flip--`
2×	`pow1/3` `associate-*l/` `distribute-lft-out--`
1×	`sub-neg` `times-frac` `diff-log` `fma-udef`

Counts

4 → 79

Calls

4 calls:

27.0ms	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
11.0ms	(cbrt (- (sin y) (/ (sin x) 16.0)))
7.0ms	(- 3.0 (sqrt 5.0))
0.0ms	(fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (cos y)))

series776.0ms

Counts

4 → 10

Calls

4 calls:

345.0ms	(cbrt (* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0)))
203.0ms	(cbrt (- (sin y) (/ (sin x) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
228.0ms	(fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (cos y)))

simplify2.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	4899
2	1153
1	439
0	214

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

regimes679.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	43
1	43
0	38

end0.0ms

sample14.4s

Algorithm

intervals

Results

7.4s	2725×	body	1280	valid
3.1s	1878×	body	640	valid
2.2s	2308×	body	80	valid
1.3s	734×	body	320	valid
255.0ms	355×	body	160	valid