Details

sample590.0ms

Algorithm

intervals

Results

236.0ms	49×	body	2560	valid
129.0ms	79×	body	1280	valid
117.0ms	72×	body	640	valid
20.0ms	30×	body	320	valid
6.0ms	13×	body	160	valid
3.0ms	13×	body	80	valid

simplify71.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.7b

localize60.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x (sin x)) (- x (tan x)))
0.9b	(- x (tan x))
0.9b	(- x (sin x))

rewrite161.0ms

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:

55.0ms	(/ (- x (sin x)) (- x (tan x)))
14.0ms	(- x (tan x))
85.0ms	(- x (sin x))

series210.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (- x (sin x)) (- x (tan x)))
60.0ms	(- x (tan x))
61.0ms	(- x (sin x))

simplify1.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5017
3	3306
2	964
1	375
0	160

prune260.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin x) (- x (tan x)))
0.4b	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
0.9b	(- x (tan x))
0.9b	(- x (tan x))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

160×	`*-un-lft-identity`
138×	`add-sqr-sqrt`
133×	`associate-/r*`
121×	`frac-sub`
69×	`associate-/l*`
62×	`add-cube-cbrt`
46×	`distribute-lft-out--`
36×	`difference-of-squares`
33×	`times-frac`
25×	`frac-2neg`
23×	`clear-num`
13×	`sub-div`
10×	`add-log-exp`
6×	`flip3--` `add-cbrt-cube` `add-exp-log` `associate-/r/` `flip--`
4×	`pow1` `insert-posit16`
3×	`sub-neg` `distribute-rgt-out--` `diff-log` `div-inv`
1×	`cbrt-undiv` `div-exp`

Counts

4 → 230

Calls

4 calls:

17.0ms	(/ (sin x) (- x (tan x)))
141.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
11.0ms	(- x (tan x))
11.0ms	(- x (tan x))

series540.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (sin x) (- x (tan x)))
268.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
67.0ms	(- x (tan x))
101.0ms	(- x (tan x))

simplify1.5s

Counts

242 → 242

Iterations

Iter	Nodes
done	5000
1	1529
0	479

prune795.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (/ (/ (sin x) (cos x)) x) (+ (/ (sin x) x) (/ (/ (* (sin x) (sin x)) (cos x)) (* x x))))
0.9b	(+ (/ (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (* x x)) (- (/ (/ (sin x) (cos x)) x) (+ (/ (sin x) x) (/ (/ (* (sin x) (sin x)) (cos x)) (* x x)))))
14.2b	(/ (/ (* (sin x) (sin x)) (cos x)) (* x x))
14.2b	(/ (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (* x x))

rewrite10.1m

Algorithm

rewrite-expression-head

Calls

4 calls:

3.5s	(- (/ (/ (sin x) (cos x)) x) (+ (/ (sin x) x) (/ (/ (* (sin x) (sin x)) (cos x)) (* x x))))
2.2m	(+ (/ (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (* x x)) (- (/ (/ (sin x) (cos x)) x) (+ (/ (sin x) x) (/ (/ (* (sin x) (sin x)) (cos x)) (* x x)))))
83.0ms	(/ (/ (* (sin x) (sin x)) (cos x)) (* x x))
194.0ms	(/ (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (* x x))