Details

sample666.0ms

Algorithm

intervals

Results

191.0ms	57×	body	2560	valid
154.0ms	70×	body	640	valid
143.0ms	72×	body	1280	valid
78.0ms	29×	body	320	valid
5.0ms	14×	body	160	valid
3.0ms	14×	body	80	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
3	19
2	17
1	13
0	6

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x (sin x)) (- x (tan x)))
1.6b	(- x (tan x))
1.7b	(- x (sin x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-cube-cbrt`
25×	`times-frac`
18×	`prod-diff`
14×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
6×	`fma-neg`
5×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
4×	`flip3--` `flip--`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

3 → 113

Calls

3 calls:

19.0ms	(/ (- x (sin x)) (- x (tan x)))
5.0ms	(- x (tan x))
8.0ms	(- x (sin x))

series205.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (- x (sin x)) (- x (tan x)))
61.0ms	(- x (tan x))
55.0ms	(- x (sin x))

simplify1.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	2007
3	2007
2	1279
1	504
0	212

prune968.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x (sin x)) (- x (tan x)))
0.0b	(log (exp (/ (- x (sin x)) (- x (tan x)))))
1.6b	(- x (tan x))
1.7b	(- x (sin x))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt` `*-un-lft-identity`
50×	`times-frac`
42×	`add-cube-cbrt`
32×	`log-pow`
31×	`exp-prod`
24×	`distribute-lft-out--` `difference-of-squares`
18×	`prod-diff`
8×	`add-log-exp`
6×	`add-cbrt-cube` `fma-neg` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `flip--` `associate-/l`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`log-prod`
2×	`sub-neg` `diff-log` `div-sub` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `exp-diff` `div-exp` `rem-log-exp`

Counts

4 → 160

Calls

4 calls:

21.0ms	(/ (- x (sin x)) (- x (tan x)))
30.0ms	(log (exp (/ (- x (sin x)) (- x (tan x)))))
10.0ms	(- x (tan x))
12.0ms	(- x (sin x))

series371.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ (- x (sin x)) (- x (tan x)))
125.0ms	(log (exp (/ (- x (sin x)) (- x (tan x)))))
79.0ms	(- x (tan x))
58.0ms	(- x (sin x))

simplify1.1s

Counts

172 → 172

Iterations

Iter	Nodes
done	2000
3	2000
2	1382
1	577
0	277

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin x) (- x (tan x)))
1.5b	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
1.6b	(- x (tan x))
1.6b	(- x (tan x))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
678×	`times-frac`
459×	`prod-diff`
417×	`add-cube-cbrt`
147×	`distribute-lft-out--`
141×	`difference-of-squares`
92×	`associate-/r/`
49×	`flip3--` `flip--`
46×	`div-inv`
27×	`fma-neg`
10×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `distribute-rgt-out--` `diff-log` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `frac-sub` `sub-div`

Counts

4 → 592

Calls

4 calls:

12.0ms	(/ (sin x) (- x (tan x)))
100.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
10.0ms	(- x (tan x))
10.0ms	(- x (tan x))

series562.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (sin x) (- x (tan x)))
305.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
84.0ms	(- x (tan x))
108.0ms	(- x (tan x))

simplify1.6s

Counts

604 → 604

Iterations

Iter	Nodes
done	2001
2	2001
1	1405
0	620

prune7.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

1.6b	(- x (tan x))
1.7b	(- x (sin x))
1.7b	(- x (sin x))
1.7b	(- x (sin x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

10.0ms	(- x (tan x))
13.0ms	(- x (sin x))
13.0ms	(- x (sin x))
12.0ms	(- x (sin x))

series231.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- x (tan x))
50.0ms	(- x (sin x))
46.0ms	(- x (sin x))
55.0ms	(- x (sin x))

simplify1.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	2008
4	2008
3	1653
2	633
1	279
0	129

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes106.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 30.9b

bsearch151.0ms

Steps

Iters	Range		Point
11	5.037382729650074e-10	1937402784720.5117	0.031240215431948184
6	-0.09018726350273112	-0.009521407882115243	-0.028213729881585915

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample15.2s

Algorithm

intervals

Results

6.9s	1640×	body	2560	valid
4.9s	2718×	body	1280	valid
2.3s	1830×	body	640	valid
613.0ms	962×	body	320	valid
201.0ms	486×	body	160	valid
113.0ms	364×	body	80	valid