Details

sample728.0ms

Algorithm

intervals

Results

246.0ms	57×	body	2560	valid
174.0ms	72×	body	1280	valid
135.0ms	70×	body	640	valid
76.0ms	29×	body	320	valid
7.0ms	14×	body	160	valid
4.0ms	14×	body	80	valid

simplify28.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize65.0ms

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))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

34.0ms	(/ (- x (sin x)) (- x (tan x)))
8.0ms	(- x (tan x))
16.0ms	(- x (sin x))

series248.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(/ (- x (sin x)) (- x (tan x)))
76.0ms	(- x (tan x))
67.0ms	(- x (sin x))

simplify868.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	2010
3	2010
2	964
1	375
0	160

prune438.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt` `*-un-lft-identity`
50×	`times-frac`
32×	`log-pow`
31×	`exp-prod`
28×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `flip--` `associate-/l`
4×	`associate-/r/` `insert-posit16`
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 → 128

Calls

4 calls:

34.0ms	(/ (- x (sin x)) (- x (tan x)))
45.0ms	(log (exp (/ (- x (sin x)) (- x (tan x)))))
9.0ms	(- x (tan x))
10.0ms	(- x (sin x))

series366.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (- x (sin x)) (- x (tan x)))
113.0ms	(log (exp (/ (- x (sin x)) (- x (tan x)))))
67.0ms	(- x (tan x))
59.0ms	(- x (sin x))

simplify1.1s

Counts

140 → 140

Iterations

Iter	Nodes
done	2007
3	2007
2	1054
1	444
0	223

prune581.0ms

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))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
33×	`times-frac`
18×	`distribute-lft-out--`
16×	`add-cube-cbrt`
12×	`difference-of-squares`
10×	`add-log-exp`
6×	`flip3--` `add-cbrt-cube` `add-exp-log` `associate-/r/` `flip--`
5×	`associate-/r*`
4×	`pow1` `insert-posit16`
3×	`sub-neg` `distribute-rgt-out--` `diff-log` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `frac-sub` `sub-div`

Counts

4 → 98

Calls

4 calls:

13.0ms	(/ (sin x) (- x (tan x)))
58.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
8.0ms	(- x (tan x))
12.0ms	(- x (tan x))

series519.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (sin x) (- x (tan x)))
268.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
81.0ms	(- x (tan x))
65.0ms	(- x (tan x))

simplify1.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	2000
3	2000
2	1111
1	392
0	180

prune420.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

8.0ms	(- x (tan x))
7.0ms	(- x (sin x))
5.0ms	(- x (sin x))
5.0ms	(- x (sin x))

series211.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- x (tan x))
62.0ms	(- x (sin x))
39.0ms	(- x (sin x))
50.0ms	(- x (sin x))

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	2000
5	2000
4	1619
3	720
2	357
1	155
0	78

prune412.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

100% (0.0b remaining)

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

bsearch128.0ms

Steps

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

simplify20.0ms

Iterations

Iter	Nodes
done	27
1	27
0	22

end0.0ms

sample16.2s

Algorithm

intervals

Results

6.5s	1640×	body	2560	valid
4.6s	2718×	body	1280	valid
3.4s	1830×	body	640	valid
813.0ms	962×	body	320	valid
430.0ms	364×	body	80	valid
290.0ms	486×	body	160	valid