Details

sample205.0ms

Algorithm

intervals

Results

107.0ms	88×	body	1280	valid
52.0ms	74×	body	640	valid
9.0ms	65×	body	80	valid
7.0ms	14×	body	320	valid
5.0ms	15×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	32	50
1	74	50
2	187	47
3	587	47
4	1935	47
done	5000	47

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.3b	(- (cos x) (cos y))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

184×	`add-sqr-sqrt`
183×	`prod-diff`
172×	`*-un-lft-identity`
164×	`add-cube-cbrt`
110×	`times-frac`
82×	`distribute-rgt-in` `distribute-lft-in`
14×	`sqrt-prod`
12×	`associate-r` `div-inv`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`add-log-exp`
7×	`associate-l` `difference-of-squares`
6×	`sub-neg` `fma-neg`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--`
2×	`diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 291

Calls

4 calls:

65.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
35.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series304.0ms

Counts

4 → 10

Calls

4 calls:

152.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
96.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
56.0ms	(- (cos x) (cos y))

simplify839.0ms

Counts

301 → 301

Iterations

Useful iterations: done (819.0ms)

Iter	Nodes	Cost
0	732	12252
1	1712	10935
done	5000	10128

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (cbrt (cos y)) 3)
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.3b	(fma 1 (cos x) (- (pow (cbrt (cos y)) 3)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
96×	`prod-diff`
93×	`add-cube-cbrt`
55×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
14×	`sqrt-prod`
7×	`pow1` `add-exp-log`
6×	`cbrt-prod` `unpow-prod-down` `cube-prod` `associate-r` `associate-l` `add-cbrt-cube` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
3×	`sub-neg` `pow-unpow` `fma-neg`
2×	`flip3--` `pow-pow` `associate-*r/` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`cube-mult` `pow-to-exp` `pow1/3` `diff-log` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 191

Calls

4 calls:

2.0ms	(pow (cbrt (cos y)) 3)
43.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- 3.0 (sqrt 5.0))
0.0ms	(fma 1 (cos x) (- (pow (cbrt (cos y)) 3)))

series328.0ms

Counts

4 → 10

Calls

4 calls:

146.0ms	(pow (cbrt (cos y)) 3)
111.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
70.0ms	(fma 1 (cos x) (- (pow (cbrt (cos y)) 3)))

simplify1.5s

Counts

201 → 201

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	452	5819
1	900	4948
2	2701	3696
done	5000	3642

prune900.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
1.0b	(- 3.0 (sqrt 5.0))
2.3b	(fma 1 (cos x) (- (pow (cbrt (cos y)) 3)))
6.7b	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
10×	`sqrt-prod`
8×	`cbrt-prod`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`cube-div` `expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`pow-unpow` `flip3--` `fma-neg` `flip--`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-exp` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow1/3` `diff-log` `pow-prod-down` `prod-exp` `rem-cbrt-cube` `cbrt-unprod` `fma-udef` `distribute-lft-out--`

Counts

4 → 95

Calls

4 calls:

10.0ms	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
4.0ms	(- 3.0 (sqrt 5.0))
0.0ms	(fma 1 (cos x) (- (pow (cbrt (cos y)) 3)))
2.0ms	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

series352.0ms

Counts

4 → 10

Calls

4 calls:

179.0ms	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
0.0ms	(- 3.0 (sqrt 5.0))
71.0ms	(fma 1 (cos x) (- (pow (cbrt (cos y)) 3)))
103.0ms	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

simplify657.0ms

Counts

105 → 105

Iterations

Useful iterations: done (653.0ms)

Iter	Nodes	Cost
0	218	1867
1	495	1450
2	1503	1247
done	5000	1240

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.6b	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
2.3b	(fma 1 (cos x) (- (pow (cbrt (cos y)) 3)))
6.7b	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
78×	`prod-diff`
77×	`add-cube-cbrt`
55×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod`
6×	`associate-r/` `associate-r` `associate-l*` `div-inv`
4×	`cube-div` `expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `fma-udef` `distribute-lft-out--`

Counts

4 → 168

Calls

4 calls:

36.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
13.0ms	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
0.0ms	(fma 1 (cos x) (- (pow (cbrt (cos y)) 3)))
2.0ms	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

series470.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
184.0ms	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
77.0ms	(fma 1 (cos x) (- (pow (cbrt (cos y)) 3)))
104.0ms	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

simplify1.4s

Counts

180 → 180

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	387	5743
1	770	4992
2	2674	3876
done	5001	3822

prune980.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes286.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	68
1	44	68
done	44	68

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.2s	2768×	body	1280	valid
1.4s	1891×	body	640	valid
400.0ms	761×	body	320	valid
331.0ms	2245×	body	80	valid
108.0ms	335×	body	160	valid